Identifier
-
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
Mp00119: Dyck paths —to 321-avoiding permutation (Krattenthaler)⟶ Permutations
St000022: Permutations ⟶ ℤ
Values
[1] => [.,.] => [1,0] => [1] => 1
[1,2] => [.,[.,.]] => [1,0,1,0] => [1,2] => 2
[2,1] => [[.,.],.] => [1,1,0,0] => [2,1] => 0
[1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => [1,2,3] => 3
[1,3,2] => [.,[[.,.],.]] => [1,0,1,1,0,0] => [1,3,2] => 1
[2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => [2,1,3] => 1
[2,3,1] => [[.,.],[.,.]] => [1,1,0,0,1,0] => [2,1,3] => 1
[3,1,2] => [[.,[.,.]],.] => [1,1,0,1,0,0] => [2,3,1] => 0
[3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => [3,1,2] => 0
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 4
[1,2,4,3] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 2
[1,3,2,4] => [.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 2
[1,3,4,2] => [.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 2
[1,4,2,3] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 1
[1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => [1,4,2,3] => 1
[2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 2
[2,1,4,3] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 0
[2,3,1,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 2
[2,3,4,1] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 2
[2,4,1,3] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 0
[2,4,3,1] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 0
[3,1,2,4] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[3,1,4,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => [3,1,2,4] => 1
[3,2,4,1] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => [3,1,2,4] => 1
[3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[3,4,2,1] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => [3,1,2,4] => 1
[4,1,2,3] => [[.,[.,[.,.]]],.] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 0
[4,1,3,2] => [[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0] => [2,4,1,3] => 0
[4,2,1,3] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => [3,1,4,2] => 0
[4,2,3,1] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => [3,1,4,2] => 0
[4,3,1,2] => [[[.,[.,.]],.],.] => [1,1,1,0,1,0,0,0] => [3,4,1,2] => 0
[4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => [4,1,2,3] => 0
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 5
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 3
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 3
[1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 3
[1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 2
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,3,4] => 2
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 3
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 3
[1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 3
[1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 1
[1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 2
[1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 2
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,2,3,5] => 2
[1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,2,3,5] => 2
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 2
[1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,2,3,5] => 2
[1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 1
[1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4] => 1
[1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [1,4,2,5,3] => 1
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [1,4,2,5,3] => 1
[1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,1,0,0,0] => [1,4,5,2,3] => 1
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => [1,5,2,3,4] => 1
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 3
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,1,5,3,4] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 0
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,3,4] => 0
[2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 3
[2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 3
[2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 3
[2,3,5,1,4] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[2,4,1,3,5] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,4,1,5,3] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,4,5,1,3] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,4,5,3,1] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[2,5,1,3,4] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 0
[2,5,1,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,3,4] => 0
[2,5,3,1,4] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 0
[2,5,3,4,1] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 0
[2,5,4,1,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,3,4] => 0
[2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,3,4] => 0
[3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[3,1,2,5,4] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 0
[3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[3,1,5,2,4] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 0
[3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 0
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => 2
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => 0
[3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => 2
[3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => 2
[3,2,5,1,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => 0
[3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => 0
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => 2
[3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => 2
[3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => 2
[3,5,1,2,4] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 0
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 0
>>> Load all 4328 entries. <<<[3,5,2,1,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => 0
[3,5,2,4,1] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => 0
[3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 0
[3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => 0
[4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[4,1,3,2,5] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,5] => 1
[4,1,3,5,2] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,5] => 1
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,5] => 1
[4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => [3,4,1,2,5] => 1
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => [3,4,1,2,5] => 1
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => [4,1,2,3,5] => 1
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => [4,1,2,3,5] => 1
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => [3,4,1,2,5] => 1
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => [4,1,2,3,5] => 1
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,5] => 1
[4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => 1
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => [3,4,1,2,5] => 1
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => [4,1,2,3,5] => 1
[5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 0
[5,1,2,4,3] => [[.,[.,[[.,.],.]]],.] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4] => 0
[5,1,3,2,4] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,3] => 0
[5,1,3,4,2] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,3] => 0
[5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,3] => 0
[5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => [2,5,1,3,4] => 0
[5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => [3,1,4,5,2] => 0
[5,2,1,4,3] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4] => 0
[5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => [3,1,4,5,2] => 0
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => [3,1,4,5,2] => 0
[5,2,4,1,3] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4] => 0
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4] => 0
[5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,2] => 0
[5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,2] => 0
[5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,5,3] => 0
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,5,3] => 0
[5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,2] => 0
[5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,5,3] => 0
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,2] => 0
[5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4] => 0
[5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => [4,1,5,2,3] => 0
[5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => [4,1,5,2,3] => 0
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => [1,1,1,1,0,1,0,0,0,0] => [4,5,1,2,3] => 0
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0] => [5,1,2,3,4] => 0
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => 6
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => 4
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => 4
[1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => 4
[1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => 3
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,4,5] => 3
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 4
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 4
[1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 4
[1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 2
[1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 2
[1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 3
[1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 3
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,3,4,6] => 3
[1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,3,4,6] => 3
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 3
[1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,3,4,6] => 3
[1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 2
[1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5] => 2
[1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,3,6,4] => 2
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,3,6,4] => 2
[1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,3,4] => 2
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,3,4,5] => 2
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 4
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 2
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,4,5] => 1
[1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 4
[1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 2
[1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 4
[1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 4
[1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 2
[1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 2
[1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,4,5] => 1
[1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 1
[1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,4,5] => 1
[1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,4,5] => 1
[1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => 3
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => 1
[1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => 3
[1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => 3
[1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => 1
[1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => 1
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => 3
[1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => 3
[1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => 3
[1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => 1
[1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => 1
[1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 1
[1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => 1
[1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 2
[1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 2
[1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,6] => 2
[1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,6] => 2
[1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 2
[1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,6] => 2
[1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,2,3,6] => 2
[1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,2,3,6] => 2
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,2,3,4,6] => 2
[1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,2,3,4,6] => 2
[1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,2,3,6] => 2
[1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,2,3,4,6] => 2
[1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 2
[1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,6] => 2
[1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => 2
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,2,3,6] => 2
[1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,2,3,4,6] => 2
[1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 1
[1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,2,5] => 1
[1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,6,4] => 1
[1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,6,4] => 1
[1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,2,4] => 1
[1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,2,4,5] => 1
[1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,6,3] => 1
[1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5] => 1
[1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,6,3] => 1
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,6,3] => 1
[1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5] => 1
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5] => 1
[1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,2,6,3] => 1
[1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,2,6,3] => 1
[1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,6,4] => 1
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,6,4] => 1
[1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,2,6,3] => 1
[1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,6,4] => 1
[1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,2,3] => 1
[1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5] => 1
[1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,2,6,3,4] => 1
[1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,2,6,3,4] => 1
[1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,2,3,4] => 1
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,2,3,4,5] => 1
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 4
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 2
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,1,3,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 1
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => 1
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,1,4,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,1,4,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,1,5,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,1,5,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,1,5,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 0
[2,1,6,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => 0
[2,1,6,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,1,6,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => 0
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => 0
[2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 4
[2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 2
[2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,1,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 1
[2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => 1
[2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 4
[2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 2
[2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 4
[2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 4
[2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 2
[2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 2
[2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,5,6,4,1] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 1
[2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => 1
[2,3,6,4,1,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 1
[2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 1
[2,3,6,5,1,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => 1
[2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => 1
[2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,1,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,1,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,3,6,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,5,3,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,5,3,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,5,6,1,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,5,6,3,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[2,4,6,1,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,6,1,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,6,3,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,6,3,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,6,5,1,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,4,6,5,3,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 0
[2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,1,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,1,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,1,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,3,1,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,3,1,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,3,4,6,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,3,6,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,3,6,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,4,1,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,4,1,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,4,6,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,4,6,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,6,1,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,6,1,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,6,3,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,6,3,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[2,5,6,4,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,5,6,4,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => 1
[2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 0
[2,6,1,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => 0
[2,6,1,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,1,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,1,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => 0
[2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => 0
[2,6,3,1,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 0
[2,6,3,1,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => 0
[2,6,3,4,1,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 0
[2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 0
[2,6,3,5,1,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => 0
[2,6,3,5,4,1] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => 0
[2,6,4,1,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,4,1,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,4,3,1,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,4,5,1,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => 0
[2,6,5,1,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => 0
[2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => 0
[2,6,5,3,1,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => 0
[2,6,5,3,4,1] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => 0
[2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => 0
[2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => 0
[3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,1,2,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,1,4,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,5,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,5,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,1,6,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,1,6,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,1,6,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,1,5,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,1,6,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,2,4,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,2,5,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,5,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,5,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,5,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,2,6,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,2,6,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,2,6,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,2,6,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,2,6,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,4,2,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => 3
[3,4,6,1,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,6,1,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,6,2,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,4,6,2,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,4,6,5,1,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => 1
[3,5,1,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,1,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,1,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,1,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,2,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,2,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,2,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,2,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,2,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,4,1,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,4,2,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,4,2,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,4,6,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,6,1,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,6,1,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,6,2,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,6,2,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,5,6,4,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[3,5,6,4,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => 1
[3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,6,1,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,6,1,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,6,1,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,6,2,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,6,2,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,6,2,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,6,2,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,6,4,1,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,6,4,1,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,6,4,2,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,6,4,2,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,6,4,5,1,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 0
[3,6,4,5,2,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => 0
[3,6,5,1,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,6,5,1,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,6,5,2,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,6,5,2,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => 0
[3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => 0
[4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,1,3,2,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,1,3,5,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,1,3,5,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,1,3,6,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,1,3,6,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,1,5,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,1,6,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,1,6,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,1,3,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,1,6,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,3,6,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,3,6,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,2,6,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,6,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,6,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,3,1,2,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,3,1,5,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,3,2,6,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,3,6,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,5,1,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,5,1,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,5,2,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,2,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 2
[4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => 2
[4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => 2
[4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => 2
[4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => 2
[4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,6,1,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,6,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,6,1,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,6,2,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,2,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,2,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,2,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,2,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,2,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,3,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,6,3,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,6,3,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,6,3,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[4,6,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 0
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => 0
[4,6,5,2,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,5,2,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => 0
[4,6,5,3,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => 0
[4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => 0
[5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 1
[5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 1
[5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => 1
[5,1,2,4,6,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => 1
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 1
[5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => 1
[5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,3,4,2,6] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,3,4,6,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,3,6,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,3,6,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => 1
[5,1,4,2,6,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => 1
[5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => 1
[5,1,4,3,6,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => 1
[5,1,4,6,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => 1
[5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => 1
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 1
[5,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => 1
[5,1,6,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,6,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,1,6,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => 1
[5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => 1
[5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,1,4,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,1,4,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,4,1,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,4,1,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,4,3,6,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,4,6,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,4,6,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,6,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,1,4,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,1,4,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => 1
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => 1
[5,4,1,3,2,6] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => 1
[5,4,1,3,6,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => 1
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => 1
[5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => 1
[5,4,2,1,3,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => 1
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => 1
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => 1
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => 1
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => 1
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => 1
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => 1
[5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => 1
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => 1
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => 1
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 1
[5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => 1
[5,6,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,6,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => 1
[5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => 1
[5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => 1
[5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,6,2,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => 1
[5,6,2,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,6,2,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => 1
[5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => 1
[5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => 1
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => 1
[5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => 1
[5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => 1
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => 1
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => 1
[6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => 0
[6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,1,5] => 0
[6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,1,6,4] => 0
[6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,1,6,4] => 0
[6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,1,4] => 0
[6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,1,4,5] => 0
[6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,6,3] => 0
[6,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5] => 0
[6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,6,3] => 0
[6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,6,3] => 0
[6,1,3,5,2,4] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5] => 0
[6,1,3,5,4,2] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5] => 0
[6,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,1,6,3] => 0
[6,1,4,2,5,3] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,1,6,3] => 0
[6,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,1,3,6,4] => 0
[6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,1,3,6,4] => 0
[6,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,1,6,3] => 0
[6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,1,3,6,4] => 0
[6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,1,3] => 0
[6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5] => 0
[6,1,5,3,2,4] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,1,6,3,4] => 0
[6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,1,6,3,4] => 0
[6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,1,3,4] => 0
[6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,1,3,4,5] => 0
[6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,4,5,6,2] => 0
[6,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,4,6,2,5] => 0
[6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,6,2,4] => 0
[6,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,1,6,2,4,5] => 0
[6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,4,5,6,2] => 0
[6,2,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,4,6,2,5] => 0
[6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,4,5,6,2] => 0
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,4,5,6,2] => 0
[6,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,4,6,2,5] => 0
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,4,6,2,5] => 0
[6,2,4,1,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,4,1,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,4,3,1,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => 0
[6,2,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,6,2,4] => 0
[6,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,1,6,2,4,5] => 0
[6,2,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,6,2,4] => 0
[6,2,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,6,2,4] => 0
[6,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,1,6,2,4,5] => 0
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,1,6,2,4,5] => 0
[6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => 0
[6,3,1,2,5,4] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => 0
[6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => 0
[6,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => 0
[6,3,1,5,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => 0
[6,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => 0
[6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => 0
[6,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => 0
[6,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => 0
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => 0
[6,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => 0
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => 0
[6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => 0
[6,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => 0
[6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => 0
[6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => 0
[6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => 0
[6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => 0
[6,3,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => 0
[6,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => 0
[6,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => 0
[6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => 0
[6,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => 0
[6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => 0
[6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,1,6,2] => 0
[6,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,1,6,2] => 0
[6,4,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,6,4] => 0
[6,4,1,3,5,2] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,6,4] => 0
[6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,1,6,2] => 0
[6,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,6,4] => 0
[6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,1,2,6,3] => 0
[6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,1,2,6,3] => 0
[6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,6,4] => 0
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,6,4] => 0
[6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,1,2,6,3] => 0
[6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,6,4] => 0
[6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,1,6,2] => 0
[6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,6,4] => 0
[6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => 0
[6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,1,2,6,3] => 0
[6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,6,4] => 0
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,1,2] => 0
[6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5] => 0
[6,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,6,2,4] => 0
[6,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,6,2,4] => 0
[6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,1,2,4] => 0
[6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,1,2,4,5] => 0
[6,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,5,6,2,3] => 0
[6,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5] => 0
[6,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,5,6,2,3] => 0
[6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,5,6,2,3] => 0
[6,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5] => 0
[6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5] => 0
[6,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,1,6,2,3] => 0
[6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,1,6,2,3] => 0
[6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => [5,1,2,6,3,4] => 0
[6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => [5,1,2,6,3,4] => 0
[6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,1,6,2,3] => 0
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => [5,1,2,6,3,4] => 0
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,1,2,3] => 0
[6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5] => 0
[6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => [5,1,6,2,3,4] => 0
[6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => [5,1,6,2,3,4] => 0
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,1,2,3,4] => 0
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5] => 0
[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] => 7
[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] => 5
[1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => 5
[1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => 5
[1,2,3,7,5,4,6] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,4,7,5] => 3
[1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,4,7,5] => 3
[1,2,7,5,4,3,6] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,3,4,7,5] => 2
[1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,3,4,7,5] => 2
[1,2,7,5,6,4,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,3,4,7,5] => 2
[1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 5
[1,3,4,2,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 5
[1,3,4,5,2,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 5
[1,3,4,5,6,2,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 5
[1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 5
[1,5,4,3,2,7,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,4,3,7,2,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,4,3,7,6,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,4,7,3,2,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,4,7,3,6,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,4,7,6,3,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,7,4,3,2,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,7,4,3,6,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,7,4,6,3,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,5,7,6,4,3,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => 1
[1,7,2,6,5,4,3] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,2,4,5,6] => 1
[1,7,5,4,3,2,6] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => 1
[1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => 1
[1,7,5,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => 1
[1,7,5,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => 1
[1,7,6,2,5,3,4] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,2,3,5] => 1
[1,7,6,2,5,4,3] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,2,3,5,6] => 1
[1,7,6,3,2,5,4] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,7,3,4,6] => 1
[1,7,6,3,5,2,4] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,7,3,4,6] => 1
[1,7,6,3,5,4,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,7,3,4,6] => 1
[1,7,6,4,2,3,5] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,2,7,3,4] => 1
[1,7,6,4,2,5,3] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,2,7,3,4] => 1
[1,7,6,4,3,2,5] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,2,3,7,4,5] => 1
[1,7,6,4,3,5,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,2,3,7,4,5] => 1
[1,7,6,4,5,2,3] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,2,7,3,4] => 1
[1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,2,3,7,4,5] => 1
[1,7,6,5,2,3,4] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,2,3,4] => 1
[1,7,6,5,2,4,3] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,2,3,4,6] => 1
[1,7,6,5,3,2,4] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,7,3,4,5] => 1
[1,7,6,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,7,3,4,5] => 1
[1,7,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,2,3,4,5] => 1
[1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,2,3,4,5,6] => 1
[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 5
[2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => 2
[2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => 1
[2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,1,6,5,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,1,6,7,5,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => 0
[2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 5
[2,3,1,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => 2
[2,3,1,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => 1
[2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 5
[2,3,4,1,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => 2
[2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 5
[2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 5
[2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 5
[2,3,4,7,1,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => 2
[2,3,4,7,6,1,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => 2
[2,3,4,7,6,5,1] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => 2
[2,3,7,1,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => 1
[2,3,7,6,1,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => 1
[2,3,7,6,5,1,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => 1
[2,3,7,6,5,4,1] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => 1
[2,6,1,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,1,5,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,1,5,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,1,7,5,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,1,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,1,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,1,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,4,1,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,4,1,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,4,3,1,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,4,3,7,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,4,7,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,4,7,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,7,1,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,7,4,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,5,7,4,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,7,1,5,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,7,5,1,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,7,5,4,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,6,7,5,4,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => 1
[2,7,1,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => 0
[2,7,6,1,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => 0
[2,7,6,5,1,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => 0
[2,7,6,5,4,1,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => 0
[2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => 0
[3,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,1,4,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,1,4,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,1,4,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,1,4,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,2,4,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,2,4,1,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,2,4,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,2,4,5,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,2,4,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,2,4,5,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,2,4,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,1,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,1,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,1,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,2,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,2,1,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,2,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,2,5,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,2,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,2,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,2,5,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,2,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,5,1,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,5,1,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,5,1,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,5,2,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,5,2,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,5,2,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,5,2,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,5,2,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,5,6,1,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,5,6,1,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,5,6,2,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,5,6,2,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,5,6,7,1,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 4
[3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => 4
[3,4,5,7,2,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,5,7,2,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[3,4,5,7,6,2,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => 2
[4,1,2,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,2,3,5,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,2,5,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,2,5,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,2,5,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,2,5,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,2,5,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,2,5,7,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,3,2,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,3,5,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,3,5,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,3,5,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,5,2,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,5,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,5,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,5,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,5,2,7,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,5,3,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,3,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,3,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,5,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,5,6,3,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,6,3,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,1,5,6,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,1,5,7,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,5,7,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,1,5,7,6,2,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,3,1,2,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,1,5,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,1,5,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,1,5,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,2,5,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,2,5,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,2,5,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,2,5,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,2,5,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,2,5,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,5,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,5,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,5,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,5,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,5,2,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,5,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,5,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,5,2,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,5,2,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,5,6,1,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,5,6,1,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,5,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,5,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,5,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,3,5,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,3,5,7,2,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,5,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,3,5,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,1,2,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,1,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,1,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,1,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,1,2,7,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,1,3,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,1,3,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,1,3,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,1,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,1,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,1,6,3,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,1,6,3,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,1,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,1,6,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,1,7,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,1,7,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,1,7,6,2,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,3,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,3,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,3,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,3,2,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,3,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,3,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,3,2,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,3,2,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,3,6,1,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,3,6,1,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,3,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,3,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,3,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,3,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,3,7,2,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,3,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,3,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,6,1,3,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,6,1,3,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,6,1,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,6,3,1,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,6,3,1,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,6,3,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,6,3,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,6,3,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,6,3,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,6,7,1,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[4,5,6,7,1,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => 3
[4,5,6,7,3,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => 3
[4,5,6,7,3,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => 3
[4,5,7,1,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,7,1,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,7,1,6,2,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,7,3,2,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,7,3,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,7,3,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[4,5,7,6,1,2,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 1
[4,5,7,6,3,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => 1
[5,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,2,3,4,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,2,3,6,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,2,3,6,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,2,3,7,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,2,6,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,2,6,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,2,6,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,2,7,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,2,7,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,2,7,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,4,3,2,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,4,3,6,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,4,3,6,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,4,6,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,4,6,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,4,6,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,6,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,6,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,6,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,6,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,6,4,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,6,4,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,6,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,1,6,7,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,1,7,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,7,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,7,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,1,7,6,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,3,2,6,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,3,2,7,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,3,2,7,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,3,6,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,3,6,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,3,7,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,3,7,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,3,7,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,6,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,6,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,6,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,6,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,4,7,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,7,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,7,3,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,4,7,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,6,1,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,6,1,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,6,1,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,6,1,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,6,1,4,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,6,1,4,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,6,1,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,6,1,7,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,6,4,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,6,4,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,6,4,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,6,7,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 2
[5,6,7,1,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => 2
[5,6,7,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => 2
[5,7,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,7,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,7,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,7,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,7,4,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,7,4,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,7,4,3,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,7,4,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[5,7,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 0
[5,7,6,4,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => 0
[6,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 1
[6,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 1
[6,1,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 1
[6,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 1
[6,1,5,4,3,2,7] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => 1
[6,1,5,4,3,7,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => 1
[6,1,5,4,7,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => 1
[6,1,5,7,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => 1
[6,1,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 1
[6,1,7,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => 1
[6,4,3,2,1,5,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,2,1,7,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,2,7,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,5,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,5,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,5,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,7,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,7,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,3,7,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,5,3,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,5,3,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,5,3,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,5,7,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,7,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,7,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,7,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,4,7,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,5,1,4,2,3,7] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => 1
[6,5,1,4,2,7,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => 1
[6,5,1,4,3,2,7] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => 1
[6,5,1,4,3,7,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => 1
[6,5,1,4,7,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => 1
[6,5,1,4,7,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => 1
[6,5,1,7,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => 1
[6,5,1,7,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => 1
[6,5,2,1,4,3,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,1,4,7,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,1,7,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,4,1,3,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,4,1,7,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,4,3,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,4,3,7,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,4,7,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,4,7,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,7,1,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,7,4,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,2,7,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,3,1,2,4,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,1,2,7,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,1,4,2,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,1,4,7,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,1,7,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,1,7,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,2,1,4,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,2,4,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,2,4,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,2,7,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,2,7,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,4,1,2,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,4,1,7,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,4,7,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,7,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,7,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,3,7,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,3,7,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,4,1,2,3,7] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => 1
[6,5,4,1,2,7,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => 1
[6,5,4,1,3,2,7] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => 1
[6,5,4,1,3,7,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => 1
[6,5,4,1,7,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => 1
[6,5,4,1,7,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => 1
[6,5,4,2,1,3,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,2,3,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,2,3,7,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,2,7,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,2,7,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,3,1,2,7] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => 1
[6,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => 1
[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => 1
[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => 1
[6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => 1
[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => 1
[6,5,4,7,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => 1
[6,5,4,7,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => 1
[6,5,4,7,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,7,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,4,7,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => 1
[6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => 1
[6,5,7,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => 1
[6,5,7,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => 1
[6,5,7,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,7,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,7,2,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,5,7,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,7,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,7,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,5,7,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,5,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => 1
[6,5,7,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => 1
[6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,5,7,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => 1
[6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => 1
[6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 1
[6,7,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => 1
[6,7,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,7,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,7,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,7,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => 1
[6,7,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => 1
[6,7,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => 1
[6,7,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,7,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,7,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => 1
[6,7,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,7,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,7,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,7,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,7,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => 1
[6,7,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => 1
[6,7,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => 1
[6,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => 1
[6,7,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,7,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => 1
[6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => 1
[6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => 1
[7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => 0
[7,1,2,3,4,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,1,6] => 0
[7,1,2,3,5,4,6] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,1,7,5] => 0
[7,1,2,3,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,1,7,5] => 0
[7,1,2,3,6,4,5] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,6,7,1,5] => 0
[7,1,2,3,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,1,5,6] => 0
[7,1,2,6,3,4,5] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,6,7,1,4] => 0
[7,1,6,5,2,4,3] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,5,7,1,3,4,6] => 0
[7,1,6,5,3,2,4] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,6,1,7,3,4,5] => 0
[7,1,6,5,3,4,2] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,6,1,7,3,4,5] => 0
[7,1,6,5,4,2,3] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,6,7,1,3,4,5] => 0
[7,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,1,3,4,5,6] => 0
[7,4,3,2,1,5,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,3,2,1,6,5] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,3,2,5,1,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,3,2,6,1,5] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,3,5,2,1,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,3,5,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,3,5,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,3,6,2,1,5] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,3,6,2,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,3,6,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,5,3,2,1,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,5,3,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,5,3,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,5,6,3,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => 0
[7,4,6,3,2,1,5] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,6,3,2,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,6,3,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,4,6,5,3,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => 0
[7,5,4,1,3,2,6] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,7,5] => 0
[7,5,4,1,3,6,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,7,5] => 0
[7,5,4,1,6,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,7,5] => 0
[7,5,4,2,1,3,6] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,2,1,6,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,2,3,1,6] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,2,3,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,2,6,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,2,6,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,3,1,2,6] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,1,2,3,7,4] => 0
[7,5,4,3,1,6,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,1,2,3,7,4] => 0
[7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,7,5] => 0
[7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,7,5] => 0
[7,5,4,3,6,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,1,2,3,7,4] => 0
[7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,7,5] => 0
[7,5,4,6,1,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,7,5] => 0
[7,5,4,6,2,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,6,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,4,6,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,1,2,3,7,4] => 0
[7,5,4,6,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,7,5] => 0
[7,5,6,4,1,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,7,5] => 0
[7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => 0
[7,5,6,4,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,1,2,3,7,4] => 0
[7,5,6,4,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,7,5] => 0
[7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,7,1,2] => 0
[7,6,4,3,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1,2,3,7,4,5] => 0
[7,6,4,3,2,5,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1,2,3,7,4,5] => 0
[7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1,2,3,7,4,5] => 0
[7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1,2,3,7,4,5] => 0
[7,6,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1,2,7,3,4,5] => 0
[7,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1,2,7,3,4,5] => 0
[7,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1,2,7,3,4,5] => 0
[7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,6,7,1,2,3,4] => 0
[7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,7,1,2,3,4,5] => 0
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => 0
[8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,1,2,3,4,5,6,7] => 0
[7,8,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[8,6,7,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,8,6] => 0
[7,6,8,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[6,7,8,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[8,7,5,6,4,3,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,8,5,6] => 0
[8,6,5,7,4,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,8,6] => 0
[7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[6,7,5,8,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[6,5,7,8,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,7,8,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[8,7,5,4,6,3,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,8,5,6] => 0
[8,6,5,4,7,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,8,6] => 0
[7,6,5,4,8,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[6,7,5,4,8,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[6,5,7,4,8,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,7,4,8,3,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[6,5,4,7,8,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,4,7,8,3,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,6,7,8,3,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[7,8,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[7,6,8,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[7,6,5,8,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[8,7,5,4,3,6,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,8,5,6] => 0
[8,6,5,4,3,7,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,8,6] => 0
[7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[6,7,5,4,3,8,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[6,5,7,4,3,8,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,7,4,3,8,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[6,5,4,7,3,8,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,4,6,7,3,8,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[7,6,5,3,4,8,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[6,5,4,3,7,8,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,4,3,6,7,8,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[7,8,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,8,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,8,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[8,6,7,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,6,4,5,7,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[7,6,5,4,8,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,8,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[7,6,8,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[7,6,5,8,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[8,7,5,4,3,2,6,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,8,5,6] => 0
[8,6,5,4,3,2,7,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,8,6] => 0
[8,6,4,2,3,5,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[6,7,5,4,3,2,8,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[6,5,7,4,3,2,8,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,7,4,3,2,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[6,5,4,7,3,2,8,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[7,6,5,3,4,2,8,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[6,5,4,3,7,2,8,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,4,6,3,7,2,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,6,7,2,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[7,6,5,4,2,3,8,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,3,2,4,8,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[6,5,4,3,2,7,8,1] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,4,6,3,2,7,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,6,2,7,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,2,6,7,8,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[8,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [7,8,1,2,3,4,5,6] => 0
[7,8,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[8,6,7,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,7,1,2,3,4,8,5] => 0
[7,6,8,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[8,6,5,7,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,7,1,2,3,4,8,5] => 0
[7,6,5,8,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[7,6,5,4,8,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[4,5,6,7,8,3,1,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[8,6,5,4,3,7,1,2] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,7,1,2,3,4,8,5] => 0
[7,6,5,4,3,8,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[4,5,6,7,3,8,1,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[4,5,6,3,7,8,1,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[4,5,3,6,7,8,1,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[4,3,5,6,7,8,1,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[7,8,6,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,8,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,8,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,4,8,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[8,7,6,5,4,1,2,3] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,7,8,1,2,3,4,5] => 0
[7,8,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[7,6,8,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[6,7,8,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[7,6,5,8,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[6,7,5,8,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[6,5,7,8,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[7,6,5,4,8,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[6,7,5,4,8,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[6,5,7,4,8,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[6,5,4,7,8,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[7,8,6,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[7,6,8,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[7,6,5,8,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[8,7,6,5,1,2,3,4] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,6,7,8,1,2,3,4] => 0
[5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[8,6,7,4,2,1,3,5] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[6,7,8,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[8,7,5,4,3,2,1,6] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,8,5,6] => 0
[8,7,1,2,3,4,5,6] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,7,8,1,2] => 0
[7,8,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[8,6,5,4,3,2,1,7] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,8,6] => 0
[8,6,4,2,3,5,1,7] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,6,5,4,3,1,2,7] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,7,1,2,3,4,8,5] => 0
[8,6,4,2,3,1,5,7] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,6,4,2,1,3,5,7] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,1] => 0
[7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => 1
[6,7,5,4,3,2,1,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[6,5,7,4,3,2,1,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,7,4,3,2,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[6,5,4,7,3,2,1,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,4,7,3,2,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,6,7,3,2,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[7,6,5,3,4,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[6,5,4,3,7,2,1,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,4,3,7,2,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,6,3,7,2,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,6,7,2,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[7,6,5,4,2,3,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,3,2,4,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[6,5,4,3,2,7,1,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,4,3,2,7,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,6,3,2,7,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,6,2,7,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,2,6,7,1,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[2,3,4,5,6,7,1,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[7,6,5,4,3,1,2,8] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[4,5,6,7,3,1,2,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[4,3,5,6,7,1,2,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[7,6,5,4,2,1,3,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,4,1,2,3,8] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[7,6,5,3,2,1,4,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[5,6,7,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[6,7,1,2,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[7,1,2,3,4,5,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,2,3,4,5,7,8] => 2
[5,6,4,3,2,1,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,6,3,2,1,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,6,2,1,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[5,4,3,2,6,1,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[2,3,4,5,6,1,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[4,3,5,6,1,2,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[6,5,4,1,2,3,7,8] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[6,1,2,3,4,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,2,3,4,6,7,8] => 3
[2,3,4,5,1,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[4,3,5,1,2,6,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[5,1,2,3,4,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[2,3,4,1,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[4,3,1,2,5,6,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[2,3,1,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 6
[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] => 8
[6,8,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[6,5,8,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[5,6,8,7,4,3,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,8,7,6,5,3,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,6,8,7,5,3,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[5,6,4,8,7,3,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,6,5,8,7,3,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,3,8,7,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[6,5,4,3,8,7,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[5,6,4,3,8,7,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,3,6,5,8,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[5,4,3,6,8,7,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,8,7,6,5,4,3,1] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[2,6,8,7,5,4,3,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,8,7,6,5,3,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,6,8,7,5,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,6,5,4,8,7,3,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,6,5,8,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,3,8,7,6,5,4,1] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,4,5,6,7] => 1
[4,3,2,8,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,3,2,6,8,7,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,3,8,7,6,5,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,3,6,8,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[3,4,2,5,8,7,6,1] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[6,5,4,3,2,8,7,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,6,5,3,2,8,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[5,4,6,3,2,8,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,3,6,5,2,8,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[5,4,3,6,2,8,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,6,5,4,3,8,7,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,6,5,3,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,2,6,5,8,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,3,6,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[5,4,3,2,6,8,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,3,4,5,6,8,7,1] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,2,3,4,5,6,7] => 1
[1,7,8,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,2,3,4,5,6,8] => 2
[1,7,6,8,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,2,3,4,5,6,8] => 2
[1,6,7,8,5,4,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,8,7,6,4,3,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[1,7,6,5,8,4,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,2,3,4,5,6,8] => 2
[1,6,7,5,8,4,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,7,6,8,4,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,6,5,7,8,4,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,6,7,8,4,3,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,7,8,6,5,3,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,5,4,7,8,6,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,4,5,8,7,6,3,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,7,6,5,4,8,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,2,3,4,5,6,8] => 2
[1,4,7,6,5,8,3,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,6,5,4,7,8,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,6,4,7,8,3,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,5,4,6,7,8,3,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,6,7,8,3,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,8,7,6,5,4,2] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,4,5,6,7] => 1
[1,3,7,8,6,5,4,2] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,3,6,7,8,5,4,2] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,8,7,6,4,2] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,3,5,7,8,6,4,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,6,7,5,8,4,2] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,6,5,7,8,4,2] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,6,7,8,4,2] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,4,3,7,8,6,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,4,3,7,6,8,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,5,4,3,8,7,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[1,4,5,3,8,7,6,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,4,5,3,7,8,6,2] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,5,4,8,7,6,2] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,4,3,5,8,7,6,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,4,3,5,7,8,6,2] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,4,5,8,7,6,2] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,6,7] => 3
[1,3,4,5,7,8,6,2] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,7,6,5,4,3,8,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,2,3,4,5,6,8] => 2
[1,6,7,5,4,3,8,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,6,5,7,4,3,8,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,6,7,4,3,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,5,6,4,7,3,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,5,4,6,7,3,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,6,7,3,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,6,5,7,4,8,2] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,6,7,4,8,2] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,4,7,6,8,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,4,5,7,6,8,2] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,5,4,6,3,7,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,5,4,3,6,7,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,3,6,7,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,4,3,5,6,7,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,4,5,6,7,8,2] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 6
[2,1,8,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[2,1,6,8,7,5,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,6,5,8,7,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,4,8,7,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,1,4,6,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,6,5,4,8,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,4,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[1,2,4,6,7,8,5,3] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[2,3,1,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,4,5,6,7] => 1
[1,3,2,8,7,6,5,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,4,5,6,7] => 1
[1,3,2,7,6,8,5,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,3,2,6,7,8,5,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,2,5,8,7,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,3,2,5,7,8,6,4] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,2,7,6,5,8,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,3,2,6,7,5,8,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,2,6,5,7,8,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,2,5,6,7,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[2,1,3,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,4,5,6,7] => 1
[1,2,3,8,7,6,5,4] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,3,8,4,5,6,7] => 3
[1,2,3,7,8,6,5,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,3,7,4,5,6,8] => 4
[1,2,3,7,6,8,5,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,3,7,4,5,6,8] => 4
[1,2,3,6,7,8,5,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,4,5,7,8] => 5
[1,2,3,5,8,7,6,4] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,5,4,8,6,7] => 3
[1,2,3,5,7,8,6,4] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[1,2,3,7,6,5,8,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,3,7,4,5,6,8] => 4
[1,2,3,6,7,5,8,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,4,5,7,8] => 5
[1,2,3,5,7,6,8,4] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[1,2,3,6,5,7,8,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,4,5,7,8] => 5
[1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => 6
[4,3,2,1,8,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,3,2,1,6,8,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,3,1,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,3,1,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[1,4,3,2,7,6,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[2,1,4,3,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,1,4,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[1,2,4,3,6,7,8,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[3,4,5,2,1,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[3,4,2,5,1,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[3,2,4,5,1,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[1,5,4,3,2,8,7,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[1,5,4,3,2,7,8,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,4,5,3,2,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,4,5,3,2,7,8,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,5,4,2,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,4,5,2,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,6,7] => 3
[1,3,4,5,2,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,3,2,5,4,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,3,2,5,4,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,2,3,5,4,8,7,6] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,5,4,8,6,7] => 3
[1,2,3,5,4,7,8,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[3,2,4,1,5,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[1,4,3,2,5,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,4,3,2,5,7,8,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,4,2,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[3,2,1,4,5,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[1,3,2,4,5,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,6,7] => 3
[1,3,2,4,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,2,3,4,5,8,7,6] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,8,6,7] => 5
[1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => 6
[6,5,4,3,2,1,8,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[5,6,4,3,2,1,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,6,5,3,2,1,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[5,4,6,3,2,1,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,3,6,5,2,1,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[5,4,3,6,2,1,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,6,5,4,3,1,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,6,5,3,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,2,6,5,1,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,3,6,5,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[5,4,3,2,6,1,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,3,4,5,6,1,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[2,1,6,5,4,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,4,6,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,2,1,6,5,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,3,1,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[5,4,3,2,1,6,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,3,4,5,1,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[2,3,4,1,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[2,3,1,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[2,1,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[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] => 6
[1,7,6,5,4,3,2,8] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,2,3,4,5,6,8] => 2
[1,6,7,5,4,3,2,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,6,5,7,4,3,2,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,6,7,4,3,2,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,7,6,5,3,2,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,5,6,4,7,3,2,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,5,4,6,7,3,2,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,6,7,3,2,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,6,7,5,4,2,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,7,6,4,2,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,6,5,7,4,2,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,6,7,4,2,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,4,7,6,2,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,4,3,5,7,6,2,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,4,5,7,6,2,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,5,4,6,3,7,2,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,6,3,7,2,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,6,5,4,7,2,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,6,4,7,2,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,5,4,3,6,7,2,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,3,6,7,2,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,4,3,5,6,7,2,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,4,5,6,7,2,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 6
[1,2,4,6,7,5,3,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,2,4,6,5,7,3,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,3,2,7,6,5,4,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,3,2,6,7,5,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,2,5,7,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,2,6,5,7,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,2,5,6,7,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,2,3,7,6,5,4,8] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,3,7,4,5,6,8] => 4
[1,2,3,6,7,5,4,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,4,5,7,8] => 5
[1,2,3,5,7,6,4,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[1,2,3,6,5,7,4,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,4,5,7,8] => 5
[1,2,3,5,6,7,4,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => 6
[1,4,3,2,7,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,2,4,3,6,7,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,5,4,3,2,7,6,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,4,5,3,2,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,5,4,2,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,4,3,5,2,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,4,5,2,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,3,2,5,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,2,3,5,4,7,6,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[1,4,3,2,5,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,3,4,2,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,3,2,4,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,2,3,4,5,7,6,8] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => 6
[1,6,5,4,3,2,7,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,6,2,3,4,5,7,8] => 3
[1,5,6,4,3,2,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,5,4,6,3,2,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,6,3,2,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,5,6,4,2,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,5,4,3,6,2,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,3,6,2,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,4,3,5,6,2,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,4,5,6,2,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 6
[1,2,4,6,5,3,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,3,2,6,5,4,7,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,2,5,6,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,2,3,6,5,4,7,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,6,4,5,7,8] => 5
[1,2,3,5,6,4,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => 6
[1,2,4,3,6,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,5,4,3,2,6,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,2,3,4,6,7,8] => 4
[1,4,5,3,2,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,4,3,5,2,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,4,5,2,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 6
[1,3,2,5,4,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,2,3,5,4,6,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => 6
[1,4,3,2,5,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7,8] => 5
[1,3,4,2,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 6
[1,3,2,4,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 6
[1,2,3,7,5,6,4,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[1,2,3,7,5,6,8,4] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[1,2,3,8,5,7,6,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,6,4,8,5,7] => 3
[1,2,8,6,5,4,7,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,7,3,4,5,8,6] => 2
[1,2,8,6,5,7,4,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,7,3,4,5,8,6] => 2
[1,3,2,7,5,6,8,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,2,8,5,7,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,3,8,5,4,7,6,2] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,3,8,5,7,6,4,2] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,3,8,7,5,6,4,2] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[1,5,3,4,2,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,3,4,2,7,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,3,4,2,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,5,3,4,6,7,2,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,3,4,6,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,6,3,5,4,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,7,3,5,4,6,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,8,3,5,7,6,4,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[1,7,3,6,5,4,2,8] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[1,7,3,6,5,4,8,2] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[1,8,3,7,5,6,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[1,8,3,7,6,5,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,8,3,5,6,7] => 1
[1,7,5,4,3,6,2,8] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[1,7,5,4,3,6,8,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[1,8,5,4,7,6,3,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[1,8,6,5,4,3,7,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6] => 1
[1,8,6,5,4,7,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6] => 1
[1,8,7,5,4,6,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7,2,3,4,8,5,6] => 1
[1,8,7,5,6,4,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7,2,3,4,8,5,6] => 1
[2,1,4,3,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,1,4,8,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,1,4,8,6,7,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,1,6,4,5,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,6,4,5,8,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,8,4,6,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,1,8,4,6,7,5,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,1,8,5,4,6,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,1,8,5,6,4,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,1,8,5,6,7,4,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,4,3,8,6,5,7,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,6,4,3,5,1,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,3,5,8,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,4,3,6,5,7,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,4,3,6,7,5,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,4,6,5,3,7,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,5,4,3,6,7,1] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,8,5,4,6,7,3,1] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,2,3,1,6,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,3,1,6,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,3,1,8,6,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,3,6,5,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,3,8,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,2,4,3,5,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,4,3,6,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[8,2,4,3,6,7,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[8,2,6,4,5,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[8,2,6,4,5,7,3,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[8,7,3,6,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[2,4,1,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,1,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,3,4,5,6,8,1,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 4
[3,1,4,2,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,4,1,2,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,4,1,5,2,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,4,5,1,2,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,1,4,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,4,1,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,4,5,8,1,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[1,3,5,2,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,2,5,7,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,2,7,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,2,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,2,7,4,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,2,4,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,2,5,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,2,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,2,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,8,2,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,2,4,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,6,2,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,2,6,7,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,6,2,7,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,6,7,2,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,6,2,7,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,6,7,2,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,5,6,7,8,2,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 4
[1,3,4,5,7,2,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[1,3,4,5,7,8,2,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 4
[3,1,2,4,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[1,2,4,6,3,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,2,4,6,3,7,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,2,4,6,7,8,3,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 4
[1,4,2,7,3,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,7,2,3,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,2,7,8,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,7,2,8,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,7,8,2,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,2,7,3,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,7,2,3,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,2,3,7,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,2,3,7,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,2,7,3,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,7,2,3,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,4,2,3,7,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,1,8,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,8,1,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,1,2,8,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,1,2,3,8,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[5,1,6,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,1,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,1,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,7,1,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,1,2,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,7,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,7,1,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,1,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,7,1,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,2,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,1,7,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,2,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,6,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,6,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,6,1,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,6,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,6,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,6,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,6,2,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,6,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,3,6,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,3,6,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[5,1,2,3,6,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 3
[1,2,3,5,7,4,6,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[1,2,3,5,7,4,8,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[1,2,3,5,7,8,4,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 4
[6,1,7,2,8,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,7,1,2,8,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,7,8,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,7,1,8,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,7,2,3,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,7,1,2,3,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,7,3,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,7,8,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,7,2,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,7,1,2,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,7,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,3,7,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,3,7,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,7,2,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,7,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,3,7,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,3,4,7,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,2,3,4,7,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 2
[6,1,8,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,8,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,1,2,8,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,1,2,3,8,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,1,2,3,4,8,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,1,2,3,4,5,8,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[7,1,8,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[7,1,2,8,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[7,1,2,3,8,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[7,1,2,3,4,8,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[7,1,2,3,4,5,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 1
[1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => 3
[6,4,5,2,3,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,6,1,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,1,8,6,7,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,4,6,2,7,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,8,2,7,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,1,4,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10,1,2,3,4,5,6,7,8,9] => 0
[4,2,6,8,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,2,4,8,1,3,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,5,7,1,3,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[3,8,2,6,1,4,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,8,3,7,1,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[6,4,2,8,1,3,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,4,2,6,1,3,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,6,2,4,1,3,5,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,4,2,7,1,3,5,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,7,3,6,1,2,4,5] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,5,1,7,8,2,3,6] => 0
[4,6,3,5,8,1,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[3,8,2,6,7,1,4,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,3,2,6,8,1,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[8,6,2,4,7,1,3,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[6,4,8,2,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,8,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,4,6,2,5,1,3,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,6,7,2,4,1,3,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[4,8,3,7,2,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[6,8,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,6,4,7,2,5,1,3] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,7,3,6,2,5,1,4] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[6,5,4,3,2,8,1,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[7,6,5,4,2,8,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[8,7,6,5,2,4,1,3] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,1,8,2,3,4,5,7] => 0
[8,1,2,3,4,7,5,6] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,7,8,1,6] => 0
[8,1,2,5,3,4,6,7] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,5,6,1,7,8,4] => 0
[8,1,2,5,6,3,4,7] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,5,6,1,7,8,4] => 0
[8,1,2,5,6,7,3,4] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,5,6,1,7,8,4] => 0
[6,1,8,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[2,4,1,8,3,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,6,1,5,3,8,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,4,1,8,6,3,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,1,8,7,3,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,8,1,7,6,3,4,5] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[2,4,1,8,6,7,3,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,3,1,6,2,8,5,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,1,8,2,7,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,3,1,8,7,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,3,1,5,6,7,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[2,6,4,1,3,8,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,5,1,3,8,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,8,4,1,6,3,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,4,1,6,7,3,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[6,5,4,1,2,8,3,7] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,5,4,1,2,7,8,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[2,8,4,6,1,3,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,6,4,5,1,8,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,4,6,1,7,3,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [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] => 0
[8,1,2,3,4,5,6,9,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[7,1,2,3,4,5,8,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[8,1,2,3,9,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[7,1,2,8,3,4,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[7,1,8,9,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[8,9,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[2,3,4,5,6,7,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[6,2,8,4,5,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,1,3,2,8,6,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,5,3,7,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,6,7,3,2,5,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[4,3,1,2,8,7,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,2,1,3,8,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,3,1,2,6,5,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,1,6,5,3,4,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,5,4,1,2,3,8,7] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[2,1,4,3,8,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,1,8,7,6,3,4,5] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[6,4,8,2,5,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,3,2,1,6,8,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,2,8,4,7,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,6,8,4,7,1,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,4,1,3,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[1,5,3,8,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,3,5,8,2,7,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[4,6,8,2,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,8,3,7,5,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,2,8,1,4,3,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,6,1,4,3,7,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,5,3,6,7,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,7,5,4,8,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[4,8,2,6,5,1,3,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,6,2,8,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,5,7,3,8,4,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,8,3,7,6,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[6,5,1,3,2,8,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,6,2,1,3,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,7,8,6,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,7,3,4,5,8] => 2
[8,1,7,6,5,4,2,3] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,7,8,1,3,4,5,6] => 0
[1,7,5,3,8,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,8,5,3,7,4,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[8,1,6,7,2,4,5,3] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[1,5,8,3,7,4,6,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[6,8,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[8,7,1,6,2,3,5,4] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,5,6,8,1,2,4,7] => 0
[8,2,4,6,5,3,1,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[4,6,8,3,2,7,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,8,7,1,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,8,1,6,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[8,2,6,1,4,7,5,3] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,7,3,5,6,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,3,6,7,5,8,2,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[4,2,6,8,7,3,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,8,2,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,3,5,1,2,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,1,4,5,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,6,8,5,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,1,4,8,3,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,8,1,2,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,1,2,8,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,6,3,5,8,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,8,1,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,2,6,5,3,8,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,3,6,2,8,7,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,4,5,8,7,3,6,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,5,4,8,7,3,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[4,8,3,7,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[6,2,8,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[7,6,5,3,2,1,8,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[2,4,8,6,3,7,5,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[3,8,6,2,4,7,5,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,7,3,6,2,5,4,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[4,2,6,8,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[7,1,8,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[8,4,2,6,3,1,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,8,2,6,3,1,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[3,2,8,6,4,1,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,1,6,7,2,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,7,1,8,3] => 0
[1,7,6,8,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,7,2,3,8] => 2
[6,4,2,8,3,1,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,2,1,3,8,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,4,2,1,7,3,5,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,6,2,1,3,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,7,8,6,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,7,2,3,8] => 2
[6,8,1,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,1,8,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[2,6,1,5,4,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,4,8,3,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[8,7,1,6,3,4,2,5] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [3,6,1,7,8,2,4,5] => 0
[3,8,6,7,2,4,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,3,8,7,2,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[6,4,2,1,5,8,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,7,2,3,4,1,6,5] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,1,5,6,8,2,3,7] => 0
[8,1,6,3,2,5,4,7] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[2,8,4,1,6,3,7,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,4,1,8,7,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[8,4,2,1,7,5,3,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,6,2,5,8,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,1,8,3,6,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,8,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,8,4,1,6,5,3,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,4,1,6,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,5,6,7,4,3,1] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,8,5,6,7,4,1,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,1,8,3,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,1,8,3,6,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,3,8,1,7,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[7,8,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[6,4,2,1,5,3,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,3,8,7,5,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[1,8,5,7,3,6,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[2,6,8,5,3,1,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,2,4,1,8,3,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,8,1,6,4,5,3,7] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,6,4,2,3,7,1,5] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[3,8,6,2,4,7,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,8,6,2,7,1,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,6,5,8,1,3,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,4,8,7,1,3,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,3,8,7,1,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[2,8,7,6,1,3,4,5] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[2,3,4,5,6,7,8,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[2,3,4,5,6,7,8,9,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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] => 8
[2,3,4,5,6,7,8,9,1,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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] => 8
[2,3,4,5,6,7,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[8,1,6,7,3,2,5,4] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[6,5,4,8,7,1,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,5,4,1,7,8,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[6,5,4,1,8,7,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,5,4,8,1,7,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,5,4,7,1,8,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[5,4,3,2,6,8,1,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[1,7,2,5,3,4,6,8] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[1,7,2,5,3,6,4,8] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[1,7,2,5,3,8,4,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[4,6,3,8,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,8,5,1,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,2,8,5,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,2,8,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,7,8,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[4,6,2,8,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,3,8,2,1,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,8,2,1,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,3,7,5,2,6,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,7,5,4,2,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,6,3,7,5,2,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,6,5,7,3,4,2,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[2,6,1,5,8,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,8,3,2,5,4,7,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[1,8,5,4,3,2,7,6] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[2,6,8,4,3,7,1,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,8,7,5,6,3,4,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,8,4,5] => 1
[2,6,8,5,7,3,1,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,4,8,6,1,7,3,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[3,2,1,8,6,7,4,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,6,3,2,8,7,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,8,3,2,7,6,5,4] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,8,3,5,6,7] => 1
[4,2,1,6,8,7,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,3,6,1,8,7,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,3,8,1,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,4,5,6,7] => 1
[2,4,8,7,1,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,6,8,7,5,4,1,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,4,3,6,5,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[4,8,3,1,7,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[8,4,2,1,6,7,5,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,5,3,2,7,6,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[2,8,4,1,6,7,5,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[4,8,2,6,5,7,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,3,5,2,7,6,8,4] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[8,2,6,4,7,1,5,3] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,8,3,5,7,6,2,4] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[8,4,2,6,7,5,1,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,6,4,8,3,7,5,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,5,8,7,3,4,1] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,2,4,8,7,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,2,4,8,1,7,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,8,7,5,3,4,6,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,8,4,5] => 1
[1,8,7,3,5,4,6,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,8,4,6] => 1
[8,7,6,1,4,2,3,5] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,6,7,1,8,2,3,5] => 0
[1,8,7,5,4,3,6,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7,2,3,4,8,5,6] => 1
[4,6,2,8,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,5,7,2,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,8,5,2,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[8,7,6,5,2,1,4,3] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,1,8,2,3,4,5,7] => 0
[8,7,6,5,2,4,3,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,1,8,2,3,4,5,7] => 0
[7,6,5,1,8,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[6,4,2,1,8,7,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,5,3,2,7,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[6,2,4,1,8,5,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,2,1,4,8,7,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,1,8,6,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,2,8,4,7,3,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,4,6,2,5,1,7,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,1,8,5,6,2,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[1,5,8,4,3,2,7,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[2,6,4,8,3,7,1,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,2,5,3,1,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,4,7,2,5,3,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[2,1,6,8,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,2,8,1,6,3,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,7,3,8,5,2,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[4,1,8,3,6,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,6,4,1,8,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,8,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[4,2,8,5,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,4,2,7,5,8,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,1,8,6,7,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[3,1,4,5,8,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[2,8,6,4,1,5,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,2,8,3,6,7,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,4,8,1,7,3,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,8,3,1,7,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,6,8,3,1,7,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,8,4,7,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,3,7,5,1,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[2,4,8,7,1,6,3,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[8,2,4,6,1,5,3,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,8,3,2,7,5,4,6] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[8,4,2,6,1,5,3,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,8,7,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,4,7,5,2,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,7,2,8,5,3,6,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[2,6,4,1,8,5,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,6,7,4,3,1,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,8,6,1,4,3,5,7] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[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] => 7
[2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9] => 7
[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] => 8
[2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => 8
[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] => 9
[8,6,5,4,3,1,7,2] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,7,1,2,3,4,8,5] => 0
[1,7,6,5,4,2,3,8] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,7,2,3,4,5,8] => 2
[4,8,2,6,5,1,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,1,7,2,6,3,5,4] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,4,6,8,1,3,5,7] => 0
[1,7,8,2,5,6,3,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[4,8,2,1,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[8,1,2,3,4,5,7,6] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,8,1,7] => 0
[2,4,1,6,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,2,1,6,5,8,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,5,7,4,8,3,6,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,5,7,4,8,6,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,5,7,3,8,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,6,7,8,3,5,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,6,7,8,5,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[6,5,8,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,3,8,7,1,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[2,8,1,7,3,5,6,4] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[4,2,8,5,7,3,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,7,2,8,5,3,4,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[1,8,7,6,5,4,2,3] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7,8,2,3,4,5,6] => 1
[2,8,6,7,4,5,1,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[6,8,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,7,3,8,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[4,8,5,7,2,6,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,8,5,7,3,6,2,4] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[4,8,6,7,2,5,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,6,1,8,5,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,1,8,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,8,2,6,1,7,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[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] => 9
[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] => 10
[6,8,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,8,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,3,5,2,8,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,8,2,5,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,8,2,7,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,8,4,7,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,5,2,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,6,5,2,1,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,1,6,8,7,4,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,8,6,2,7,3,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,8,4,2,7,5,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[7,6,5,8,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[8,4,7,2,5,6,1,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,3,1,2,6,8,5,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,7,5,6,3,2,4,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,5,7,3,2,4,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,8,1,6,3,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,4,1,3,8,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9,1,2,3,4,5,6,7,8] => 0
[8,9,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,6,9,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,6,5,9,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,6,5,4,9,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7,9] => 1
[9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[7,8,9,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[9,8,10,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[9,8,7,10,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[9,8,7,6,10,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[9,8,7,6,5,10,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[9,8,7,6,5,4,10,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[8,7,6,5,4,2,3,9,1] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[9,8,7,6,5,4,3,10,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8,10] => 1
[1,7,3,8,5,2,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[8,2,5,1,7,3,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[6,2,4,8,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,7,5,3,4,6,8,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[8,2,6,4,3,1,7,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,2,3,7,8,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[1,2,3,7,5,8,6,4] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[1,2,3,8,7,5,6,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,3,7,4,8,5,6] => 3
[10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [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] => 0
[11,1,2,3,4,5,6,7,8,9,10] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,11,1] => 0
[2,6,4,8,3,5,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,5,8,7,2,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[3,4,5,8,2,1,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[3,4,5,2,8,1,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[2,4,8,6,3,7,1,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,8,6,1,7,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,5,6,7,3,1,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[8,2,5,3,7,1,6,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[4,3,5,6,7,1,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[8,4,2,3,7,5,1,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,2,6,1,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,1,8,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,2,1,8,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,4,1,8,5,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,2,1,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9,2,3,4,5,6,7,8] => 1
[1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10,2,3,4,5,6,7,8,9] => 1
[8,2,5,3,4,1,7,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[8,4,7,5,6,2,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,2,3,1,8,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,1,3,2,8,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,4,8,3,6,1,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,5,8,1,3,2,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,5,8,7,3,6,2,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,6,1,8,4,5,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,4,6,1,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[6,4,8,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,7,5,8,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[2,4,8,3,6,5,1,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,7,3,8,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[2,8,5,4,3,1,6,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[6,4,8,2,5,3,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,2,8,4,5,3,1,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,4,2,7,8,5,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[2,8,1,7,3,5,4,6] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[8,1,6,2,7,4,3,5] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[4,6,2,8,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,2,5,1,8,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,2,8,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,3,5,2,1,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,8,2,4,5,7,3,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,1,6,8,5,7,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,6,8,4,5,7,1,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,1,8,2,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[2,4,6,8,10,1,3,5,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,4,6,8,10,12,1,3,5,7,9,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[1,5,7,3,6,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,3,8,2,7,6,5,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,4,5,6,7] => 1
[2,6,5,1,8,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,4,6,1,3,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,6,1,2,8,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,2,6,1,3,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,2,4,1,3,8,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,6,3,1,2,8,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,4,1,3,8,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,4,2,1,3,8,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,4,3,6,1,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,5,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,5,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,2,6,5,3,1,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,5,1,8,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,5,8,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,5,8,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,5,8,3,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,6,1,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,2,6,5,8,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,4,3,8,7,5,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,2,6,8,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,6,8,1,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,1,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,2,6,8,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,6,8,3,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,3,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,3,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,1,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,8,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,8,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,1,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,1,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,6,5,2,8,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,6,3,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,4,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,1,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,1,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,1,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,3,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,6,2,8,5,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,2,4,8,7,1,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,4,2,8,7,5,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,6,4,8,1,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,1,8,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,1,4,8,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,6,4,8,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,1,4,8,7,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,4,2,8,7,5,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,3,6,1,5,8,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,1,4,5,8,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,5,1,3,4,8,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[6,4,2,1,5,8,3,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,6,4,8,7,1,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,8,2,5,1,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,8,2,5,1,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,2,8,6,1,7,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[3,2,8,1,6,7,4,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[3,2,8,1,6,4,7,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,2,8,6,1,3,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,6,8,1,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,8,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,3,6,8,7,1,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,1,8,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,1,5,7,4,3,2,8] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[1,8,7,6,4,3,2,5] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7,2,3,8,4,5,6] => 1
[2,8,1,5,4,6,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,2,6,3,8,1,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,8,5,7,4,3,2,6] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[1,5,7,8,4,3,2,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[2,6,4,5,1,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[7,6,5,1,4,3,2,8] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[7,8,9,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[9,8,7,6,5,1,2,3,4] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,7,8,9,1,2,3,4,5] => 0
[9,8,7,6,5,4,1,2,3] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [7,8,9,1,2,3,4,5,6] => 0
[9,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [8,9,1,2,3,4,5,6,7] => 0
[10,9,8,7,6,1,2,3,4,5] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,7,8,9,10,1,2,3,4,5] => 0
[10,9,8,7,6,5,1,2,3,4] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [7,8,9,10,1,2,3,4,5,6] => 0
[10,9,8,7,6,5,4,1,2,3] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [8,9,10,1,2,3,4,5,6,7] => 0
[10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [9,10,1,2,3,4,5,6,7,8] => 0
[4,3,6,2,8,1,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,2,8,5,1,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,3,6,8,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,7,5,4,3,8,6,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[7,8,6,5,4,3,2,1,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[7,6,8,5,4,3,2,1,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[1,8,3,7,5,6,2,4] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[4,8,3,7,5,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[1,6,7,3,8,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[4,8,2,3,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,4,7,8,3,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[4,8,1,3,6,7,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,4,2,8,1,3,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[3,4,5,8,2,7,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[8,1,2,3,4,5,6,7,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[7,8,1,2,3,4,5,6,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[7,1,8,2,3,4,5,6,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[1,4,7,2,5,8,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,6,8,5,3,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,5,1,3,4,2,8,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,8,3,5,4,2,7,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[2,6,4,5,3,8,1,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,3,8,5,7,6,2,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[8,1,2,5,6,3,7,4] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,5,6,1,7,8,4] => 0
[8,2,1,5,7,6,3,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[1,7,6,5,4,2,8,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,7,2,3,4,5,8] => 2
[6,1,5,4,3,7,8,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[1,4,7,2,5,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,8,2,6,1,5,3,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,3,6,2,5,1,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,1,8,6,4,7,3,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[6,8,5,1,3,4,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,2,1,3,6,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,1,8,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,7,6,5,4,8,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,7,2,3,4,5,8] => 2
[3,8,6,4,2,7,5,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[1,7,6,8,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,7,2,3,4,5,8] => 2
[2,4,8,6,7,3,5,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,3,8,7,5,6,2,4] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[4,2,1,6,3,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,2,1,4,3,5,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,2,1,4,3,8,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,1,4,3,6,5,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,2,4,1,3,8,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,2,4,1,3,5,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,1,6,4,3,5,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,1,4,3,5,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,1,3,5,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,2,1,3,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,4,2,1,3,5,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,4,2,1,3,6,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,4,2,1,6,3,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,2,1,8,3,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,6,1,4,3,8,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,6,4,3,8,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,8,4,3,6,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,1,4,3,6,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,4,1,3,6,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[4,8,2,1,3,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,8,2,1,4,3,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,6,2,1,4,3,5,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[2,8,1,4,6,3,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,6,1,4,8,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,1,8,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,8,1,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,2,8,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,1,8,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,2,4,1,8,3,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,2,1,6,8,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,1,6,3,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,1,3,6,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,1,4,3,8,6,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,1,3,8,6,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,2,1,3,8,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,1,8,3,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,1,8,6,3,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,2,1,6,4,3,5,7] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[8,2,6,1,4,3,5,7] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,2,8,1,3,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,4,8,1,3,6,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,1,8,3,6,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,1,4,8,3,6,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,1,4,8,6,3,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,8,1,6,3,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,8,6,1,3,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,2,8,6,1,3,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,4,6,2,1,3,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,6,8,2,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,8,4,1,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,8,1,4,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,1,8,4,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,6,8,4,3,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,8,6,4,3,5,7] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,8,6,4,1,3,5,7] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,8,6,2,1,3,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,8,4,2,1,3,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,2,4,1,5,3,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,3,6,1,5,2,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,5,8,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,1,8,4,6,3,7,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[8,1,6,3,7,2,5,4] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[8,2,4,3,6,1,7,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[2,1,6,5,8,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[1,5,7,3,8,4,2,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,7,5,6,3,2,8,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[2,6,8,4,3,7,5,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,2,4,8,3,7,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,1,6,2,7,4,5,3] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[1,8,6,7,5,4,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6] => 1
[2,8,4,6,3,7,1,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[3,8,6,7,4,2,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,6,2,1,8,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,7,3,2,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,7,3,2,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,7,3,2,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,7,3,6,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,7,3,6,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,7,3,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[1,5,6,7,8,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,6,7,8,3,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[2,4,1,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,4,1,6,3,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,4,1,6,3,8,5,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,4,1,6,3,8,5,10,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[7,1,2,3,4,5,6,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[1,4,3,7,6,8,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,4,3,7,2,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,5,3,7,4,8,2,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,4,8,3,7,2,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[6,8,2,4,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,4,8,1,3,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,8,3,7,1,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,8,3,7,6,1,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[4,2,6,1,8,7,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,7,6,5,3,8,4,2] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,7,3,4,5,8] => 2
[1,7,6,5,3,2,8,4] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,7,3,4,5,8] => 2
[8,2,5,1,3,7,6,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[1,8,5,7,4,3,6,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[2,6,5,8,4,1,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[6,5,4,8,3,2,1,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,3,8,7,6,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[2,4,8,7,6,1,3,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,8,7,6,5,4,1,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[7,6,5,4,3,2,1,8,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[6,1,2,3,8,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[8,6,2,4,3,1,7,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[1,3,8,5,4,2,7,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[2,4,8,1,7,3,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[6,8,2,1,7,4,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,3,2,5,8,7,4,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,3,7,8,2,6,5,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[8,2,5,7,1,3,6,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[2,8,6,4,7,1,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,2,5,7,1,6,3,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[6,8,4,2,7,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,7,2,3,4,6,1,5] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,1,5,6,8,2,3,7] => 0
[1,3,2,8,5,4,7,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[4,2,8,5,3,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,2,8,4,3,7,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,5,4,1,7,2,8,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[2,1,4,6,8,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,1,6,8,7,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,2,1,8,6,7,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,3,8,7,1,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,4,5,6,7] => 1
[8,1,6,7,5,4,2,3] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,6,7,1,3,4,8,5] => 0
[8,1,7,6,5,4,3,2] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,8,1,3,4,5,6,7] => 0
[4,8,7,3,1,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[1,2,3,5,8,4,7,6] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,5,4,8,6,7] => 3
[1,2,3,5,8,7,4,6] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,5,4,8,6,7] => 3
[4,6,8,3,7,5,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,8,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[2,3,1,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[2,3,4,1,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[2,3,4,5,1,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[2,3,4,5,6,1,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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] => 7
[2,3,1,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => 8
[2,3,4,1,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => 8
[2,3,4,5,1,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => 8
[2,3,4,5,6,1,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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] => 8
[2,3,4,5,6,7,1,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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] => 8
[2,3,4,5,6,7,8,1,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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] => 8
[4,6,8,3,5,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,1,6,8,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,3,2,1,8,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,1,5,2,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,5,3,2,7,4,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[6,2,8,4,3,1,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,4,1,6,5,3,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,8,7,6,5,2,4,3] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,6,8,2,3,4,5,7] => 1
[1,8,5,3,7,2,6,4] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[4,3,1,8,7,5,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,2,6,3,8,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,8,1,6,5,3,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,2,8,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,8,7,6,3,5,2,4] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,8,3,4,5,7] => 1
[8,6,2,4,7,3,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,6,2,4,5,7,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[7,1,6,5,4,3,2,8] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[4,3,8,1,2,7,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[8,4,7,2,5,3,6,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,2,8,3,6,1,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,5,2,7,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,5,7,8,3,2,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,7,6,2,8,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,7,2,3,8] => 2
[1,5,8,7,3,2,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,5,8,3,2,4,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,7,3,5,2,8,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,5,7,3,2,4,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,2,4,1,6,7,5,3] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,8,7,3,6,2,5,4] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,8,3,4,6,7] => 1
[1,7,2,8,5,6,3,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[4,3,6,5,8,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,2,6,5,3,7,4,8] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[1,2,6,5,3,7,8,4] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[1,3,7,5,2,6,8,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,7,5,3,2,8,6,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,5,3,2,4,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[7,6,5,4,3,1,8,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,1,2,3,4,5,8] => 1
[6,8,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,6,5,8,3,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,8,5,1,3,2,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,4,5,8,3,7,6,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[6,8,5,4,1,2,7,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,8,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,4,7,5,2,6,1,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,4,6,5,2,1,7,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,8,6,7,4,3,5,1] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,4,8,7,3,5,6,1] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[8,2,1,6,4,7,5,3] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[2,6,4,8,5,3,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,4,6,7,3,1,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[4,3,8,2,7,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[6,8,4,2,1,3,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,5,2,8,3,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,1,6,2,4,5,3,7] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[2,8,6,1,7,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,8,6,5,7,2,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,6,5,2,8,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,1,8,6,3,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,5,4,8,1,2,7,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,5,4,1,8,2,7,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,5,4,7,1,2,8,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[4,8,2,3,1,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,6,4,8,1,5,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,7,5,6,3,8,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[2,8,6,7,1,4,3,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,6,7,2,4,1,5,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[4,8,7,3,1,5,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[8,4,7,2,1,5,3,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,7,3,1,6,2,4,5] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,5,1,7,8,2,3,6] => 0
[8,7,3,1,2,6,4,5] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,5,1,7,8,2,3,6] => 0
[8,4,7,2,1,5,6,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,7,2,1,3,4,6,5] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,1,5,6,8,2,3,7] => 0
[4,6,3,2,1,5,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,2,6,8,5,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,8,6,7,3,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,4,3,8,7,5,6,1] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,1,6,5,8,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,6,8,5,4,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,1,8,5,6,2,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[2,6,4,8,7,3,5,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,2,8,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,7,8,2,5,3,6,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[6,7,5,4,1,2,8,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[4,2,6,3,1,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,8,3,1,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,6,3,1,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,1,8,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[2,4,3,8,1,6,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,8,6,7,2,3,5,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,6,7,1,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,8,6,7,2,1,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,6,7,2,1,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,6,7,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,2,8,5,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,8,6,7,1,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,8,6,7,2,5,3,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,6,7,2,3,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,8,5,3,1,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,4,7,8,5,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[8,4,2,6,7,5,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,8,1,6,7,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,8,4,6,5,1,3,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[4,1,8,3,6,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,8,7,6,3,4,1,5] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[1,4,3,5,7,8,2,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[6,5,8,7,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[2,8,5,6,4,3,1,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[1,8,6,5,4,3,2,7] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6] => 1
[1,4,7,2,8,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,7,3,5,8,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,7,2,5,8,6,3,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[1,3,7,6,8,2,5,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,7,6,8,3,2,5,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[6,7,1,8,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[6,2,4,1,5,8,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,1,6,3,2,5,7,4] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[4,6,8,5,3,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,5,8,3,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,8,7,3,2,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,8,7,6,3,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,2,6,3,7,5,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,1,3,8,2,6,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,2,3,8,1,6,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,6,8,4,7,3,1,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,4,8,3,6,1,5,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,2,4,5,8,3,1,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,8,1,2,5,6,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[6,5,4,3,8,2,1,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,6,8,3,7,2,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,5,4,3,7,2,8,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[8,6,2,7,4,1,5,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[1,5,7,3,2,6,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,6,7,3,2,5,8,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[6,4,8,7,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,8,2,4,7,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[7,8,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,1,2,3,4,6,8] => 1
[4,3,2,6,1,5,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,8,1,6,5,7,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,1,7,8,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[1,7,3,5,6,2,4,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,3,6,7,2,5,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,7,6,3,2,5,4,8] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[8,2,5,7,6,3,1,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[4,2,6,3,8,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,7,1,5,4,3,8,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[8,2,6,1,4,7,3,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[2,8,4,6,5,7,1,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[1,3,5,7,8,6,2,4] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,2,6,7,5,8,3,4] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[1,6,7,5,3,8,2,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,6,3,7,5,8,2,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[6,8,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[6,8,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,2,3,6,8,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,4,6,5,8,1,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[6,2,4,5,8,1,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,5,3,2,8,7,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,4,8,6,7,1,3,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,3,6,2,8,1,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,7,5,3,8,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[8,4,2,3,7,1,5,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,2,4,6,7,1,3,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[4,8,2,3,6,7,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,4,2,1,6,5,3,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,6,4,2,1,5,3,7] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[1,3,5,2,4,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[2,6,5,1,3,8,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[8,4,7,2,3,1,5,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,4,7,2,1,3,5,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,6,4,2,1,3,7,5] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,6,4,2,3,1,7,5] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[4,1,8,5,2,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,6,3,5,8,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,7,8,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[3,4,5,1,8,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[1,3,5,7,2,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[8,2,5,1,3,7,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[1,6,7,5,3,2,4,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,7,3,6,5,2,4,8] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[2,9,8,7,6,5,4,3,1] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,9,3,4,5,6,7,8] => 0
[1,8,7,6,5,3,2,4] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,8,3,4,5,6] => 1
[2,8,7,6,3,4,5,1] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[1,8,7,6,5,2,3,4] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,6,7,8,2,3,4,5] => 1
[4,3,1,6,5,8,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[8,2,6,4,1,7,3,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,7,3,2,5,4,8,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,7,6,3,2,5,8,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[1,3,2,7,5,8,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,4,2,7,8,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,3,2,7,5,8,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,2,8,5,7,4,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,5,3,7,4,8,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,8,3,5,2,7,4,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[2,6,1,4,5,8,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,1,5,4,8,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,2,3,8,5,4,7,6] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,6,4,8,5,7] => 3
[2,6,1,5,4,8,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,2,3,8,7,5,4,6] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,3,7,4,8,5,6] => 3
[1,2,3,8,5,7,4,6] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,6,4,8,5,7] => 3
[2,6,5,8,1,4,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,8,2,6,3,7,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,1,5,2,6,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,8,3,7,1,5,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[6,8,5,7,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[2,6,5,8,4,7,1,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,6,5,8,3,7,1,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,2,8,4,1,7,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,6,8,3,5,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,4,2,5,1,8,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,2,8,5,3,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,3,5,2,8,4,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[4,3,6,8,5,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,1,5,8,3,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[8,4,6,2,5,7,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,4,7,2,8,5,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,8,2,5,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,8,7,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,1,3,8,2,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,8,5,7,3,2,4,6] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[2,1,8,5,4,3,6,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,8,5,4,1,3,6,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,1,8,6,5,3,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,8,5,2,7,3,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[8,4,7,5,2,3,6,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[6,4,5,8,2,7,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,3,5,8,2,4,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,3,7,5,6,8,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,5,8,2,7,4,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[1,3,5,8,7,2,4,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[8,6,2,4,7,1,5,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,1,6,2,3,4,5,7] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,7,1,8,3] => 0
[4,6,3,8,7,1,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,8,3,7,2,4,5,6] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,2,6,7,8,3,5] => 1
[6,2,8,7,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,7,6,2,3,4,5,8] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,7,2,3,8] => 2
[2,1,6,4,8,5,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[3,4,5,8,7,2,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[8,4,7,5,2,1,6,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[1,8,5,7,3,4,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[8,2,4,3,6,1,5,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,7,8,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[1,7,5,3,6,8,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,7,3,6,5,2,8,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[2,8,7,1,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[4,6,3,1,8,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[8,2,6,4,7,3,1,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,3,1,6,8,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,8,2,4,7,5,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,6,8,2,7,3,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,8,6,4,3,5,1,7] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[1,5,7,8,4,3,6,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[3,4,5,8,6,7,1,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[8,1,6,2,4,3,7,5] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[1,8,5,4,3,7,2,6] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[6,5,4,3,8,2,7,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[6,4,2,8,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,5,3,6,2,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[7,6,5,4,2,1,8,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,7,2,3,4,5,8] => 1
[7,6,5,4,8,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,1,2,3,4,6,8] => 1
[8,7,6,5,4,2,1,9,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[7,6,5,4,1,8,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,1,2,3,4,6,8] => 1
[8,7,6,5,4,9,1,3,2] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,8,1,2,3,4,5,7,9] => 1
[7,6,5,8,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,1,2,3,4,6,8] => 1
[1,5,3,6,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,3,6,7,5,2,8,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[7,6,5,4,1,3,2,8] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,1,2,3,4,6,8] => 1
[1,3,6,7,2,5,8,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,4,5,8,7,2,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,6,7] => 3
[1,3,4,5,8,2,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,6,7] => 3
[8,6,4,2,7,5,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[4,2,1,8,3,6,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,3,6,8,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,8,7,3,5,6,2,4] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,8,4,6] => 1
[1,2,3,7,5,4,8,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[2,9,8,7,6,5,4,1,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,9,3,4,5,6,7,8] => 0
[2,8,7,6,5,1,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[2,4,8,1,6,3,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,8,5,3,2,7,6,4] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[6,4,2,8,3,5,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,4,6,2,7,5,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,3,2,6,8,5,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,4,5,2,3,8,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[5,4,6,3,8,2,1,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,2,8,6,1,5,3,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,6,2,1,5,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,6,8,2,1,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,2,8,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,4,8,1,5,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,8,1,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,5,1,8,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,3,1,5,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,3,1,8,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,3,1,8,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,2,8,3,6,1,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[7,6,5,1,4,3,8,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[7,6,5,1,4,8,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[2,6,5,3,1,4,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,8,2,7,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,6,4,7,3,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,8,6,1,7,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,1,4,8,7,5,3,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,6,5,4,8,1,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,6,2,8,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,2,1,5,3,7,6,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[4,5,3,1,6,7,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[1,5,3,2,6,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[6,8,4,7,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,6,5,1,7,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,6,8,1,5,7,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,8,1,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[6,8,4,5,2,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[7,6,5,3,8,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,2,7,3,4,5,8] => 1
[6,2,8,4,1,5,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,6,2,7,1,4,5,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[1,7,3,6,2,8,5,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[6,8,2,4,5,1,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,4,2,8,7,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,8,7,6,1,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,3,4,5,6,7] => 0
[4,6,2,3,8,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,2,3,6,1,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,4,2,3,6,1,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,2,3,8,1,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,6,4,3,8,1,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,4,3,6,1,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[6,2,4,3,8,1,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,4,7,2,5,6,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,6,3,7,8,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[4,2,6,3,8,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,3,6,8,1,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,2,8,1,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,1,3,8,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,8,1,3,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,1,8,6,3,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,8,1,6,3,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,8,6,1,3,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,8,4,2,7,5,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[9,7,6,5,4,3,2,1,8] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,6,9,7] => 0
[8,7,3,6,5,2,1,4] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[6,5,8,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[10,8,7,6,5,4,3,2,1,9] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,10,8] => 0
[4,8,2,6,3,5,7,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,8,6,4,1,7,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,4,8,6,1,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[8,4,6,7,2,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,6,8,5,1,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,4,1,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,8,7,6,3,2,5,4] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,8,3,4,5,7] => 1
[1,5,7,4,6,3,2,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[8,1,6,2,4,3,5,7] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[1,3,7,2,5,8,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[6,1,2,8,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[6,8,4,2,5,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,8,3,2,5,7,4,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[4,2,8,6,5,1,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,4,2,8,5,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,4,3,8,1,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,1,8,5,4,6,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,1,8,5,2,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,2,8,1,6,5,3,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,2,4,1,8,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,6,1,4,5,3,7] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[6,2,8,1,4,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[7,6,8,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[7,1,6,5,4,8,3,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[7,8,6,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,1,2,3,5,6,8] => 1
[4,3,1,6,5,8,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,2,4,5,1,8,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,8,1,5,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,3,1,6,8,7,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,7,6,5,8,3,4,2] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,7,3,4,5,8] => 2
[8,4,2,6,3,7,1,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,6,5,1,8,3,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[8,7,6,1,4,5,2,3] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,6,7,1,8,2,3,5] => 0
[8,4,6,2,3,1,7,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,7,5,4,1,8,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[4,2,1,6,3,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,3,5,8,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[8,4,2,6,1,5,7,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,2,4,3,6,7,1,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,2,1,8,4,7,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,8,3,7,2,5,4,6] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[2,4,8,7,5,6,3,1] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,3,6,8,7,5,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,3,8,2,5,7,4,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,2,6,7,5,3,8,4] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[1,7,5,3,2,8,4,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,6,7,5,3,8,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,4,5,7,3,8,6,2] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,5,3,6,7,8,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,3,7,8,5,2,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,5,7,4,3,6,2,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,8,5,3,4,7,2,6] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[1,4,7,5,2,6,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,2,3,8,6,7,1,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,4,3,7,8,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[6,4,5,2,3,8,7,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,2,5,3,8,7,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,6,4,7,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,6,2,7,4,5,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[6,4,2,5,8,7,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,2,5,3,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,5,2,3,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,8,2,7,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,8,7,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,6,4,5,8,7,3,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,8,7,5,3,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[8,2,4,6,7,5,3,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[4,2,6,8,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,5,8,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,3,6,8,7,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,4,8,7,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,8,7,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,5,8,7,2,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,2,6,4,7,5,3,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,6,8,2,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,5,8,2,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,1,8,6,4,7,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[6,8,7,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[7,6,5,4,1,2,8,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[4,6,8,2,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,1,6,3,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,2,3,8,6,5,1,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,6,2,8,1,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,8,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,3,6,8,2,1,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,6,8,3,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[3,4,5,2,8,7,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[3,2,4,5,8,7,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[1,5,6,7,3,4,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[8,2,6,4,7,1,3,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,8,5,7,2,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,3,7,5,8,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[4,8,6,1,3,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,6,4,3,8,5,1,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[3,8,2,1,6,4,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,6,8,3,2,1,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,8,2,6,5,3,1,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,6,8,5,4,1,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,5,4,8,3,7,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[6,8,2,1,7,4,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,4,8,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,5,4,8,3,2,7,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[8,6,4,2,3,7,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[2,6,8,4,3,5,1,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,7,3,5,4,1,6] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[8,4,2,3,6,5,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,2,6,8,7,3,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,4,7,2,5,1,6,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[3,2,8,6,7,1,4,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[5,6,8,4,7,3,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[8,7,1,3,5,4,6,2] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,8,4,6] => 0
[6,5,1,8,7,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,8,1,5,2,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[6,5,8,1,3,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[8,7,1,3,5,6,2,4] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,8,4,6] => 0
[2,6,5,4,1,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,8,2,5,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[2,6,5,3,4,1,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,1,4,8,7,6,3,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[4,8,5,1,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[8,1,6,3,5,2,7,4] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[2,1,4,8,7,5,6,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,2,8,1,6,7,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,4,8,1,6,7,3,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[8,4,2,6,5,3,1,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,8,6,2,5,3,1,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,5,3,2,8,4,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,8,7,3,5,1,4,6] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[1,8,3,7,2,6,5,4] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,8,3,5,6,7] => 1
[2,1,6,8,5,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,5,4,8,3,2,7,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[4,6,8,2,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,6,4,2,1,7,5,3] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[1,3,8,7,6,2,5,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,4,5,6,7] => 1
[1,7,3,5,2,4,6,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,6,3,5,2,4,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,8,5,7,3,4,2,6] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[1,7,3,5,2,6,4,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,7,3,6,2,5,4,8] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[8,6,4,7,2,1,3,5] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,4,6,2,3,5,1,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[3,8,6,2,4,5,1,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,8,6,2,3,5,1,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,7,5,3,4,8,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[6,5,8,4,1,2,3,7] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,1,8,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[1,8,7,6,4,5,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7,2,3,8,4,5,6] => 1
[1,8,7,3,6,5,4,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,8,3,4,6,7] => 1
[6,4,2,3,8,5,7,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,2,3,8,5,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,7,3,5,1,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[6,8,5,1,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[6,8,5,1,3,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[6,2,4,3,1,5,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,3,8,7,5,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[6,2,4,8,3,1,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,5,8,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[6,5,8,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[5,4,6,3,8,2,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,2,1,6,8,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,1,6,8,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,1,6,8,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,1,6,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[3,2,1,8,6,4,7,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[3,2,1,8,6,4,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[6,4,8,2,7,5,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,8,5,4,1,6,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,1,8,5,6,4,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[3,8,6,4,2,1,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[2,6,1,8,4,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[8,4,2,3,7,5,6,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,8,5,7,6,2,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[2,8,4,3,6,1,7,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[7,6,5,8,4,3,2,1,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[7,6,5,4,3,8,2,1,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[7,6,5,4,3,2,8,1,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[8,4,2,6,3,1,7,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,5,3,7,4,2,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,8,2,6,3,1,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[3,2,8,6,4,1,7,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,4,2,7,1,5,6,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[6,4,2,8,3,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,4,2,1,3,6,7,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,5,3,2,4,7,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,6,2,1,5,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,2,1,3,6,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,4,7,6,3,2,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[4,8,3,2,7,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,3,8,2,7,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,3,2,8,1,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,1,5,2,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[1,3,6,7,8,5,2,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,5,7,4,6,8,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,4,7,2,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,4,7,8,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,4,7,2,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,4,8,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,4,8,6,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,5,7,8,4,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 2
[1,3,7,2,5,4,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,7,5,2,4,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,5,7,4,8,3,2,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,4,7,3,8,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[8,4,6,7,2,3,1,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,4,8,7,3,1,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,6,8,7,2,3,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,4,8,7,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,6,4,7,2,3,1,5] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[4,3,6,1,5,8,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,5,1,8,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,5,1,8,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,1,5,8,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,5,3,1,8,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,1,8,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,8,1,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,8,1,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,8,3,1,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,3,8,1,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,3,8,7,1,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,5,3,7,1,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,5,3,1,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,5,1,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,6,8,3,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,8,3,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,1,8,5,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,8,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,8,5,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,8,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,1,8,5,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,1,6,8,5,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,1,8,7,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,8,1,7,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,8,1,7,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,1,8,7,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,4,8,7,1,5,3,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,4,8,7,3,5,1,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[1,5,3,2,6,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,3,2,6,7,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,7,3,2,8,5,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,3,2,7,5,4,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[4,3,2,6,1,8,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,1,2,3,4,8,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[1,7,8,3,5,4,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,8,7,3,5,4,2,6] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,8,4,6] => 1
[4,8,7,3,5,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,8,7,5,3,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,8,2,5,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[2,8,7,6,3,1,4,5] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[1,3,7,2,6,8,5,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,7,6,3,5,4,8,2] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[1,3,6,5,7,8,2,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[8,1,6,3,5,7,2,4] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[2,8,6,4,3,7,1,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,3,8,7,6,5,1,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,8,4,5,6,7] => 1
[1,5,8,7,3,2,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,6,8,1,7,5,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,5,8,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[5,6,8,4,3,2,1,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[1,4,5,8,3,2,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[2,6,5,1,8,7,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,3,5,4,8,2,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[2,6,5,4,3,8,1,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[6,4,8,2,1,5,3,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,2,6,1,7,4,3,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,7,8,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,7,5,8,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,5,7,8,6,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,7,8,3,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,3,7,8,5,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,7,5,3,8,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,7,5,8,3,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,7,8,5,3,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,7,8,3,5,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,7,3,8,5,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,7,3,5,8,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,5,3,7,8,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[6,2,4,5,1,3,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,1,8,4,6,7,3,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[3,2,4,5,8,1,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,2,4,5,8,6,7] => 2
[6,4,2,1,8,5,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,6,4,8,7,5,1,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,2,4,8,7,5,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,5,8,3,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,4,8,7,1,3,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[1,6,3,7,5,8,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[4,8,7,5,6,3,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[1,8,2,7,3,6,5,4] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,5,8,2,4,6,7] => 1
[6,2,8,7,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,7,5,8,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[8,1,2,3,4,5,9,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[8,1,2,3,4,9,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[8,1,2,9,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[8,1,9,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [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] => 1
[2,1,6,4,5,8,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,3,8,5,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,2,3,6,1,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,3,7,5,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,2,8,5,7,6,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,8,6,7,5,1,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[8,7,1,5,4,6,2,3] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,6,7,1,2,8,4,5] => 0
[8,7,5,1,2,4,6,3] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,5,7,1,2,8,3,6] => 0
[1,3,8,5,7,2,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,8,3,7,2,5,6,4] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[2,8,7,1,3,5,6,4] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[4,2,8,6,7,5,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,4,2,7,5,6,1,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,2,8,6,7,1,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,8,7,3,5,6,1,4] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[2,8,6,4,3,5,7,1] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,4,6,2,1,3,7,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,2,8,1,5,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,5,3,6,1,7,2,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[1,5,3,6,4,7,2,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,3,6,2,7,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,3,7,2,8,5,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,4,5,3,7,8,2,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,7,5,3,8,2,6,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[2,6,8,5,7,4,1,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[5,6,4,8,3,7,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,4,3,8,6,7,1,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,6,5,8,3,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,5,8,2,3,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,8,3,5,4,7,2,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[2,4,3,8,1,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,6,1,8,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,2,1,6,5,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,3,5,1,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,8,2,1,4,3,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,6,2,4,3,1,5,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[2,1,6,4,8,5,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,5,2,8,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,4,5,8,3,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[8,4,2,6,3,5,1,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,2,6,3,5,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,2,4,3,8,5,7,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,4,3,6,5,1,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,2,1,8,4,3,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,4,8,5,2,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,8,7,5,2,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,8,7,4,5,1,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,2,8,6,5,7,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,2,6,4,5,1,3,7] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,7,5,3,6,4,8,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,6,5,7,8,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[4,8,1,6,3,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,5,7,3,4,8,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,8,3,4,7,6,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[6,8,2,4,3,1,5,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,5,7,3,4,6,8,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,6,3,4,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[4,6,2,3,1,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[3,8,2,6,7,4,5,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,6,8,3,5,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,5,3,8,7,6,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[6,2,8,4,3,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,7,8,5,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[8,2,1,4,6,5,7,3] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,4,8,5,7,2,3,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,8,5,7,2,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,3,5,8,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,3,2,8,7,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,6,8,4,7,3,5,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,3,7,5,6,2,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[2,6,8,4,3,5,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,5,8,3,4,1,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,1,2,8,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[1,3,2,7,8,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[8,7,6,5,4,2,1,3,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[1,9,8,7,6,5,3,2,4] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,8,2,9,3,4,5,6,7] => 1
[1,8,7,6,2,5,4,3] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,5,8,2,3,4,6,7] => 1
[2,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,9,3,4,5,6,7,8] => 0
[8,7,3,2,1,6,5,4] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[2,4,8,6,3,1,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,1,8,6,7,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[8,1,6,2,4,7,3,5] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[2,8,6,1,4,7,3,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[1,3,7,5,4,8,2,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,5,8,4,7,3,2,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[1,8,5,4,7,3,2,6] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[1,7,3,5,4,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[8,6,4,2,7,5,1,3] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[8,6,4,5,2,7,1,3] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[6,4,2,5,1,8,3,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,4,8,1,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,8,1,3,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,6,8,1,5,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,8,5,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[2,6,4,1,5,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,8,4,2,1,5,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,2,1,8,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[5,6,8,4,3,2,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[1,4,7,5,6,8,2,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[2,8,5,4,6,1,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,6,5,1,4,8,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,3,7,5,8,2,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[8,2,1,5,7,3,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[2,4,1,3,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,7,3,5,8,2,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,8,3,2,7,5,6,4] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[6,8,2,4,3,7,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,7,6,1,2,3,5,4] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,5,6,8,1,2,3,7] => 0
[8,7,5,1,2,6,4,3] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,5,7,1,2,8,3,6] => 0
[2,1,8,6,4,3,7,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[1,6,7,3,8,2,5,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[4,8,6,1,5,3,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,4,8,7,5,6,1,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,8,5,6,1,4,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,6,8,5,3,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,6,4,8,5,1,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,6,7,4,1,3,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,6,8,7,3,1,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,2,6,8,1,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,5,8,3,7,4,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,1,6,5,4,8,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,8,5,7,2,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,2,1,4,8,7,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[9,1,8,7,6,5,4,3,2] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,9,1,3,4,5,6,7,8] => 0
[6,8,4,2,3,1,5,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,5,7,4,1,8,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[6,5,8,1,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,6,2,8,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,8,2,7,5,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,2,8,7,5,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,6,1,7,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[3,2,8,6,4,7,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[1,6,3,5,7,2,8,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[8,4,6,5,7,2,1,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,7,8,3,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,3,7,5,8,2,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[4,6,2,5,1,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,4,2,5,1,3,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,6,2,7,4,5,1,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[4,8,5,1,6,2,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[5,6,4,3,2,8,1,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[4,2,8,6,7,3,5,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,2,4,8,1,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,2,6,8,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,1,7,5,8,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[6,2,1,8,4,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,1,5,7,8,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[1,7,5,6,8,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[2,1,4,8,6,5,3,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[2,4,1,8,6,5,3,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[4,2,1,8,6,5,3,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[7,1,6,5,8,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[6,7,1,5,8,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[1,8,7,5,3,2,4,6] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,8,4,5] => 1
[1,5,3,8,7,4,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,8,6,4,7,5,1,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,3,2,8,7,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[1,7,5,8,6,3,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[2,8,6,4,1,3,7,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,1,8,6,3,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,2,8,4,1,7,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,6,3,8,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,8,4,1,7,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,8,5,7,1,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,7,5,1,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,8,6,1,3,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,7,6,3,5,8,2,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[2,8,4,6,1,5,3,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[3,8,6,2,7,4,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,6,2,4,1,3,7,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,7,1,5,4,2,3,6] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,6,7,1,2,8,4,5] => 0
[8,2,4,1,6,3,7,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[2,8,5,6,1,4,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[1,3,7,5,4,2,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[9,1,2,3,4,5,6,8,7] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,9,1,8] => 0
[6,8,7,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,2,6,8,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,3,8,6,1,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,6,3,8,5,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,6,8,5,4,7,3,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,2,8,6,5,7,3,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[3,2,8,6,7,4,5,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[6,2,8,4,5,7,3,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,3,6,8,5,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,8,3,5,7,4,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[2,6,8,4,5,7,3,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[4,6,3,8,1,2,5,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,8,2,7,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,2,8,1,5,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,8,2,1,6,3,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,2,3,1,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,8,6,2,1,3,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[3,8,6,4,5,2,1,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[1,4,7,3,6,2,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[4,2,3,8,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,8,2,7,4,3,1,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,6,5,1,8,4,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,8,3,1,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,8,3,2,1,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[2,4,3,8,7,1,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,8,6,5,2,7,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,1,2,5,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,8,7,6,3,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[6,8,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,8,7,6,3,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[8,4,2,6,5,1,3,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,4,2,7,5,1,3,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,7,1,3,2,5,6,4] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,8,4,6] => 0
[2,8,5,6,7,1,4,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,6,8,5,1,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,5,3,2,4,7,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,3,2,7,4,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,7,3,2,5,4,6,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,5,3,7,2,4,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,3,2,7,5,4,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,7,2,5,4,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,7,5,2,4,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,7,5,3,2,4,6,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[2,9,8,7,1,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,9,3,4,5,6,7,8] => 0
[1,7,5,4,8,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[2,6,4,3,8,1,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,3,8,5,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,5,8,1,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,2,4,5,1,8,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,1,4,8,6,3,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,4,8,2,5,3,7,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,6,2,4,7,5,1,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[4,6,8,2,3,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,8,1,4,5,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[8,4,2,6,7,3,1,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,6,7,5,3,4,8,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[4,8,2,3,6,5,7,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,2,8,3,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,3,7,2,6,5,8,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,5,4,7,3,6,8,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,5,3,7,6,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,4,3,7,8,2,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[8,4,7,5,2,6,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[1,3,7,6,5,8,2,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[8,6,4,7,5,2,1,3] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[6,4,8,7,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,8,7,6,5,3,4,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,8,3,4,5,6] => 1
[4,2,6,8,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,8,4,1,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,7,8,5,4,3,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[2,8,5,4,6,1,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,8,5,4,6,3,1,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[1,5,8,4,7,3,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[2,6,4,8,7,1,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,8,2,4,1,3,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,4,6,8,1,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,6,2,1,8,5,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,8,4,2,3,7,5,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,8,3,5,7,2,6,4] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[8,6,2,4,1,5,3,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[6,5,8,1,7,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,1,2,8,5,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[1,7,6,5,8,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,7,2,3,4,5,8] => 2
[4,3,6,8,5,1,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[8,1,6,3,5,4,7,2] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[6,2,4,8,1,7,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,6,8,1,5,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[1,7,2,5,3,8,6,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[2,4,8,3,7,1,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[6,5,1,3,8,7,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[8,6,2,7,4,1,3,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[6,8,4,7,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,5,8,7,4,3,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[8,6,4,2,7,3,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[4,6,5,3,8,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,6,5,8,7,3,1,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[8,2,6,4,3,5,1,7] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,6,3,8,7,5,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,4,6,1,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,1,6,8,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[1,3,8,2,5,7,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[2,6,1,8,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,1,6,5,3,8,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[8,2,1,5,3,7,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[4,8,2,5,3,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,1,8,6,5,3,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,6,8,7,5,3,1,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[1,3,8,5,2,7,4,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[4,2,6,8,7,1,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,4,8,3,1,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,6,7,3,8,5,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[4,5,6,3,7,1,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[4,2,1,8,6,3,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,8,6,1,7,4,3,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,8,5,1,6,4,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[2,1,4,8,3,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,8,1,6,7,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,7,3,5,4,8,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[4,8,1,3,2,6,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,5,3,8,4,7,6,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[2,4,8,6,5,1,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,8,5,1,7,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,6,3,8,7,5,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,8,4,2,1,7,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,7,8,3,2,6,5,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[1,7,5,4,8,3,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[2,6,5,4,8,1,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,6,8,5,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,8,1,7,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[4,3,6,8,5,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,8,6,5,1,3,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,6,3,8,7,2,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[8,7,1,6,2,5,3,4] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,5,7,8,1,2,4,6] => 0
[4,3,5,1,6,7,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[3,8,6,4,5,7,2,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[11,10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [11,1,2,3,4,5,6,7,8,9,10] => 0
[6,4,2,3,5,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[3,8,6,4,7,2,5,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[2,1,8,6,4,5,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,8,2,5,7,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,6,8,5,2,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[3,8,6,2,7,4,5,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,4,2,3,6,7,1,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,1,8,3,2,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,3,6,2,1,8,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,8,7,5,3,6,4,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,8,4,5] => 1
[4,1,8,5,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,3,6,8,2,7,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[7,8,1,2,3,4,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[7,1,8,2,9,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[7,1,8,2,3,9,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[1,4,2,7,5,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[6,2,8,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,4,7,3,2,6,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,5,7,3,6,2,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,4,3,5,8,2,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,5,3,7,6,8,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[6,5,4,8,3,7,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2,3,4,5,8,7] => 0
[4,3,8,7,2,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[8,7,3,6,2,1,5,4] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[8,4,2,7,5,1,6,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[8,6,2,4,7,3,1,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[1,5,6,7,3,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,7,3,5,8,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[4,8,1,6,5,3,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,6,8,7,2,5,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,4,7,8,5,2,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[6,5,1,8,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,8,7,5,3,2,6,4] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,8,4,5] => 1
[1,6,3,5,7,8,2,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,5,3,4,7,8,2,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,6,3,7,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[7,8,6,5,4,3,2,9,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[8,2,4,6,3,7,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[2,4,1,8,7,3,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[5,6,4,8,3,2,1,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[8,4,6,7,2,5,1,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,6,3,2,1,8,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,5,8,4,7,6,3,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[2,8,4,1,3,6,7,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[4,6,8,3,2,7,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,8,2,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,8,5,2,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,8,5,3,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[1,7,8,2,5,3,4,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[2,1,6,8,5,3,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,3,6,2,8,5,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,4,8,7,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,8,4,3,6,7,1,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[6,5,8,7,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,3,6,5,2,7,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,2,6,5,3,4,7,8] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[1,7,2,5,6,8,3,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[1,7,2,5,3,4,8,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[8,2,1,4,6,7,3,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,3,7,8,5,6,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[2,6,5,4,1,8,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[8,4,2,1,7,5,6,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[6,8,5,4,1,7,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[4,2,6,3,8,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,8,6,4,7,3,1,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,4,6,5,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,2,5,8,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,8,2,3,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,3,5,2,8,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[8,4,2,6,3,7,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,4,6,3,8,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,3,6,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,3,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,5,8,7,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,5,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,5,7,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,3,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,1,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,5,8,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,5,8,1,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,5,1,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,7,3,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,7,1,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,7,1,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,5,1,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,5,1,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,5,3,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,5,8,3,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,5,3,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,7,3,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[2,4,6,8,7,5,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 0
[4,3,8,2,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,3,7,2,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,3,7,6,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[1,5,3,8,2,7,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,5,7,3,2,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,7,2,5,8,3,4,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[1,3,7,5,6,8,4,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,5,6,3,4,2,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,3,6,4,2,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,3,7,4,6,2,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,7,3,6,4,8,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,6,3,5,8,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[6,2,8,4,5,1,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,8,7,3,1,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,8,6,2,3,1,5,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,7,1,6,5,2,3,4] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,6,7,8,1,2,4,5] => 0
[1,5,4,7,3,6,2,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[4,6,8,2,7,3,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[2,6,8,4,7,5,1,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,6,5,7,3,8,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,7,5,6,4,3,2,8] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[4,8,2,3,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,3,5,6,1,7,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[2,6,4,5,8,1,3,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,4,6,7,1,3,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[4,6,8,2,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,6,2,4,1,5,7,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,1,2,5,3,6,7,4] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,5,6,1,7,8,4] => 0
[1,8,3,7,4,2,5,6] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,2,6,7,8,3,5] => 1
[3,2,8,6,7,4,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,4,6,2,7,3,1,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[4,3,6,2,8,7,1,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,6,3,5,2,7,8,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,5,7,3,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,1,6,7,2,4,3,5] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,4,6,1,7,3,8,5] => 0
[6,2,4,8,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,1,7,6,5,2,3,4] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,6,7,8,1,3,4,5] => 0
[1,6,7,3,5,4,8,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,7,3,5,6,8,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,6,3,2,5,4,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,3,7,6,2,8,5,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,7,3,5,2,8,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,5,8,3,2,7,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,3,2,8,7,5,4,6] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[1,2,8,6,5,4,3,7] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,7,3,4,5,8,6] => 2
[8,7,6,1,5,2,3,4] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,6,7,8,1,2,3,5] => 0
[8,7,3,1,6,4,2,5] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,5,1,7,8,2,3,6] => 0
[8,7,3,1,6,4,5,2] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,5,1,7,8,2,3,6] => 0
[8,7,3,2,6,1,5,4] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[1,7,3,6,8,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[2,4,8,7,5,3,1,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[2,6,8,7,5,3,4,1] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,5,1,4,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,6,5,3,1,2,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,8,7,5,3,1,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[4,6,8,7,5,3,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,1,4,8,7,3,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[8,7,3,2,6,5,1,4] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[8,7,1,2,6,5,3,4] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,4,7,8,1,2,5,6] => 0
[8,7,5,1,2,4,3,6] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,5,7,1,2,8,3,6] => 0
[2,4,8,7,3,1,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,3,1,8,7,5,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[4,3,1,2,6,8,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,8,7,5,1,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[8,7,5,6,1,2,4,3] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,5,7,1,2,8,3,6] => 0
[2,4,8,7,3,6,5,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[1,8,3,5,7,2,4,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[1,5,7,3,6,8,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,4,6,2,5,7,1,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,5,7,8,6,3,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,4,6,7,5,2,1,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,4,8,6,7,3,1,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,3,8,7,5,4,2,6] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[4,1,8,6,7,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,5,8,4,3,7,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[8,6,2,4,3,7,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[4,8,5,7,2,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[8,6,7,2,1,4,3,5] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,2,6,4,1,5,7,3] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,8,7,5,3,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[3,2,8,1,6,4,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[1,7,8,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,7,2,3,4,5,8] => 2
[1,8,7,3,2,5,6,4] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,8,4,6] => 1
[1,3,8,7,5,4,6,2] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[1,5,7,3,8,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,3,2,8,7,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[1,6,7,5,8,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[4,6,5,8,7,3,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,1,6,4,8,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,4,5,7,8,3,6,2] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,5,7,8,3,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,2,8,3,6,5,1,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,1,6,2,3,4,7,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,7,1,8,3] => 0
[1,4,7,2,5,6,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,3,6,5,1,8,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,1,2,8,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[1,2,6,7,8,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[2,8,6,1,4,5,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,3,6,8,7,2,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,2,3,6,8,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,8,3,5,1,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,2,8,3,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,2,8,5,7,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[2,6,8,1,5,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,1,8,5,4,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,3,2,6,8,5,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,5,7,6,3,2,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,4,6,2,3,1,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,2,8,7,3,1,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,1,6,5,4,7,2,3] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,6,7,1,3,4,8,5] => 0
[1,8,7,3,2,5,4,6] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,8,4,6] => 1
[1,6,3,2,5,7,8,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,5,3,2,7,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,8,5,7,6,3,2,4] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[1,4,7,3,6,8,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,6,3,5,7,8,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,5,6,3,2,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[4,6,3,2,8,1,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[8,7,6,1,2,5,3,4] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,5,7,8,1,2,3,6] => 0
[8,7,6,1,4,2,5,3] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,6,7,1,8,2,3,5] => 0
[1,5,3,7,8,4,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,7,3,8,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,3,7,5,8,6,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[3,4,5,8,1,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[1,5,6,7,3,2,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,7,3,5,6,2,8,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,2,3,7,8,5,4,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[1,8,7,6,4,3,5,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7,2,3,8,4,5,6] => 1
[8,2,1,6,7,4,3,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[7,1,2,3,4,8,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[2,8,4,3,1,6,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,4,8,6,5,7,3,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,2,8,4,7,5,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,4,8,7,5,1,3,6] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[1,5,3,2,8,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[6,8,2,7,4,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,4,7,3,6,5,2,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[8,2,6,4,1,5,3,7] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[6,2,1,4,8,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,5,3,7,4,1,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[6,2,4,3,8,5,1,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,2,8,4,1,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,2,3,7,5,8,4,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[1,8,5,3,2,4,7,6] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[4,8,1,6,3,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[1,5,7,4,6,8,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[4,6,2,5,1,8,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,5,8,7,4,6,3,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[8,2,5,1,7,6,3,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[8,2,4,6,3,7,1,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,1,5,7,4,8,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[4,2,6,3,1,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,6,8,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,7,8,5,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,7,6,5,3,2,4,8] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,7,3,4,5,8] => 2
[2,4,3,6,5,8,7,10,9,1] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,6,8,1,5,4,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,2,8,5,3,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,4,2,1,8,7,3,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,8,2,7,3,1,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,8,2,3,5,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,3,2,8,5,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,1,8,7,6,3,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[1,3,5,8,4,7,2,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[8,2,4,6,1,3,7,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[8,2,1,4,6,3,7,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,3,7,8,5,4,6,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,3,2,7,8,5,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[1,5,7,6,8,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,3,8,5,7,4,2,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,2,3,7,5,4,6,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5,8] => 4
[4,1,8,6,3,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,4,5,8,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,2,5,3,1,7,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[1,8,5,3,7,4,2,6] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[1,6,5,3,2,4,7,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,4,7,5,2,8,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,3,5,8,7,6,2,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[8,4,7,2,5,3,1,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[1,4,7,5,2,3,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[2,8,4,6,1,7,5,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,6,4,7,3,5,1] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[2,4,3,8,7,1,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[4,3,6,5,8,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,5,3,4,7,8,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,1,6,2,7,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,7,1,8,3] => 0
[1,8,3,7,4,5,6,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,2,6,7,8,3,5] => 1
[2,4,8,6,3,5,1,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,4,5,7,3,2,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,7,3,2,5,6,4,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,6,3,2,5,7,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,6,5,3,7,2,4,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[2,6,1,8,5,4,3,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,8,4,6,1,3,7,5] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[8,4,6,2,5,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,5,6,3,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[7,6,8,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,1,2,3,4,6,8] => 1
[4,1,3,8,6,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[8,2,5,3,4,7,6,1] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[6,1,2,3,8,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[8,6,4,2,5,3,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,8,4] => 0
[4,8,5,2,1,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[4,6,8,3,7,1,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[6,8,4,2,7,3,1,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,3,6,8,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,4,3,1,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[1,6,3,7,2,5,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,5,8,7,6,3,2,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,5,7,6,3,2,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,6,3,2,7,5,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,4,7,5,2,6,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,3,8,7,5,2,4,6] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[1,6,3,5,2,7,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,8,3,7,5,2,4,6] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[8,4,2,3,1,6,5,7] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,4,5,2,8,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,6,2,3,1,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,4,2,1,8,5,3,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,4,2,3,5,8,1,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,8,6,4,5,1,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[8,2,4,6,7,1,5,3] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,5,1,8,3,2,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,4,3,7,2,8,6,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[2,1,4,3,6,5,8,10,9,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,1,4,3,6,8,7,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,1,4,6,5,3,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,1,4,6,5,3,8,10,9,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,4,3,1,6,5,8,10,9,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,4,3,1,6,8,7,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,1,4,3,6,5,8,7,10,12,11,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,1,4,3,6,5,8,10,9,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,1,4,3,6,8,7,5,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,1,4,3,6,8,7,5,10,12,11,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,1,4,6,5,3,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,1,4,6,5,3,8,7,10,12,11,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,1,4,6,5,3,8,10,9,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,4,3,1,6,5,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,4,3,1,6,5,8,7,10,12,11,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,4,3,1,6,5,8,10,9,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,4,3,1,6,8,7,5,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[2,4,3,1,6,8,7,5,10,12,11,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[6,8,7,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[1,3,8,2,5,4,7,6] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[1,4,2,7,5,3,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[7,1,6,5,4,3,8,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[1,8,5,3,4,7,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[4,6,2,8,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,3,8,7,6,5,2,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,8,4,5,6,7] => 1
[2,8,7,1,6,3,4,5] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,6,7,8,3,4,5] => 0
[4,6,5,3,2,8,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,3,7,5,4,8,6,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[2,6,5,3,8,4,1,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,1,4,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[8,2,1,6,7,4,5,3] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[4,2,8,1,6,7,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,2,1,6,7,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[8,2,4,6,1,7,5,3] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[4,5,3,6,7,1,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[7,6,5,4,3,2,8,9,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[10,1,9,2,8,3,7,4,6,5] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,4,6,8,10,1,3,5,7,9] => 0
[1,5,6,3,7,2,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,7,5,3,6,2,8,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,5,7,3,4,2,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,8,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,4,5,3,7,2,8,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,4,5,3,8,2,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,4,2,3,5,8,6,7] => 2
[1,2,6,5,7,3,8,4] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[4,6,5,8,3,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[7,1,2,3,4,5,8,6,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[4,2,8,6,3,7,5,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[6,2,8,4,5,3,7,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,4,2,3,6,7,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,6,4,8,3,1,5,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,4,1,5,8,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[7,6,5,4,1,8,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,1,2,3,4,8] => 1
[6,8,2,4,5,3,7,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,8,2,7,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,2,4,6,1,7,3,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[4,3,5,1,6,2,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[4,3,8,7,2,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[1,8,3,7,6,5,2,4] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,8,3,5,6,7] => 1
[2,6,5,3,4,8,7,1] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,8,5,1,2,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[8,6,2,4,5,1,3,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[7,1,6,8,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,7,1,3,4,5,6,8] => 1
[2,6,8,4,3,1,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,4,7,6,8,3,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[2,6,1,8,7,4,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,6,4,1,7,3,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[4,8,2,6,3,5,1,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[2,6,1,8,5,7,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,1,6,8,5,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,1,8,5,2,6,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[6,5,8,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,5,6,1,2,3,8,7] => 0
[6,2,8,4,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,4,8,3,7,6,5,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,6,8,5,4,3,7,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[4,6,8,3,2,5,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,2,8,3,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,3,8,7,2,5,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,6,8,5,7,4,3,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,4,8,7,6,3,5,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[2,4,3,6,5,8,7,10,9,12,11,1] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 0
[1,6,3,5,7,4,8,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[6,2,8,4,7,1,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,2,6,5,8,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,3,6,2,8,5,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,8,3,7,5,6,1] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,7,8,5,6] => 0
[8,1,6,7,3,5,4,2] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[1,5,3,7,4,2,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,3,2,4,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[4,2,8,3,6,5,7,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,7,5,8,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[1,5,6,3,7,8,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[1,5,7,6,3,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,6,3,7,8,5,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,7,8,6,3,5,4,2] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[2,1,4,3,6,5,8,10,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,1,4,3,6,8,5,10,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[2,1,4,6,3,8,5,10,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [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] => 0
[1,5,3,8,4,2,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[4,8,5,1,2,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[2,8,4,6,3,1,5,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[8,2,4,1,3,6,7,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[6,8,1,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[1,5,8,7,6,3,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[4,3,8,7,6,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,3,2,6,5,8,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,3,6,5,2,8,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,5,3,8,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,6,8,4,5,3,1,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[8,4,6,5,7,2,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,6,3,2,7,5,8,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,4,7,3,2,8,6,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,7,5,3,2,6,4,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,6,7,5,8,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[4,6,8,2,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,7,3,6,5,2,4,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,1,2,8,3,4,6,7] => 0
[6,5,8,1,3,4,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,6,7,3,2,8,5,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[1,3,8,5,2,7,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,8,5,7] => 1
[8,6,2,4,5,3,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,6,2,4,5,3,1,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[3,8,6,2,1,4,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[3,8,6,2,4,1,5,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[3,8,6,2,4,5,7,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[3,8,6,7,2,1,4,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[8,2,6,4,5,1,7,3] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[8,4,6,2,3,7,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[2,6,8,1,5,3,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[8,4,2,7,3,5,6,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,1,8,6,3,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,6,1,8,5,3,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,6,8,3,7,1,5,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[8,4,7,5,2,1,3,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[3,8,6,4,7,2,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,5,6,3,1,7,8,2] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7,8] => 4
[1,3,7,6,5,2,4,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,2,8,6,7,5,4,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,7,3,4,5,8,6] => 2
[1,7,5,4,3,2,6,8] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[8,6,2,4,5,7,1,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,2,5,7,3,6,1,4] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[8,4,2,7,5,3,1,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[1,6,7,8,3,2,5,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,6,3,5,7,8] => 3
[2,4,3,8,6,5,1,7] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[3,1,4,5,8,6,2,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[8,2,4,1,6,7,3,5] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,8,6] => 0
[1,7,5,8,4,3,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[8,4,6,2,3,7,1,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[5,6,4,3,8,2,7,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[1,5,4,7,3,8,6,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[6,8,7,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,8,4,5,7,2,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,2,8,6,7,1,3,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,7,6,3,5,4,2,8] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[2,6,5,1,3,4,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[1,7,3,2,8,6,5,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[2,6,8,1,4,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,1,5,8,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,2,4,5,3,8,1,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,3,5,4,8,7,2,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[6,4,2,3,1,8,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[1,7,6,8,3,5,4,2] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[3,2,8,6,4,5,1,7] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[6,4,8,2,3,5,7,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,6,8,2,5,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,4,8,2,5,7,1,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,2,4,5,8,3,7,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[6,8,2,4,7,3,5,1] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[8,4,6,2,7,1,3,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,8,4,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,8,2,4,1,7,3,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[2,6,5,3,8,1,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[1,7,6,5,3,8,2,4] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,7,3,4,5,8] => 2
[1,8,7,5,4,3,2,6] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7,2,3,4,8,5,6] => 1
[2,8,4,6,5,1,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,6,4,8,5,7,3,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,5,8,3,1,4,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,8,3,7,6,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[4,8,1,6,3,7,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[2,6,8,5,4,3,1,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[2,8,4,6,3,5,1,7] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[1,4,7,8,6,3,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[4,6,8,7,3,1,2,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,6,3,8,5,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,7,8,6,3,2,5,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[1,7,6,3,8,5,2,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,7,3,4,6,8] => 2
[1,3,8,7,2,5,6,4] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,8,5,6] => 1
[4,8,3,2,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,2,3,8,5,6,7] => 0
[1,5,3,7,6,4,8,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,8,1,3,6,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[8,7,1,3,2,5,4,6] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,8,4,6] => 0
[2,6,4,8,7,3,1,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,1,8,7,3,5,4,6] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,5,7,3,8,4,6] => 0
[1,4,7,3,6,8,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[6,4,8,2,1,7,3,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[2,8,6,4,1,5,3,7] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[1,4,7,5,8,2,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[8,4,2,1,3,7,5,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[1,7,5,3,2,4,8,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,8,7,5,3,4,2,6] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,8,4,5] => 1
[1,7,8,5,3,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[9,7,8,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,6,9,7] => 0
[2,8,5,1,6,4,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[8,1,6,3,5,2,4,7] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[4,6,2,5,3,8,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,5,2,1,8,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,6,5,3,8,1,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,4,8,7,6,1,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,5,6,7] => 0
[4,8,5,2,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,5,4,3,8,7,2,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[1,4,5,7,3,8,2,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[1,7,3,6,5,8,2,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[1,7,5,3,8,6,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[6,5,8,1,3,2,4,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,7,8,5,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[2,6,8,4,5,1,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,6,5,3,4,8,1,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[1,5,3,4,8,7,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,4,7,5,8,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[4,6,2,1,5,8,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,8,2,6,1,5,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,3,1,8,7,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[1,7,3,5,2,4,8,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,3,6,5,2,4,7,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[6,8,2,4,5,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[4,3,8,1,7,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[1,7,6,2,3,8,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,7,2,3,8] => 2
[1,7,3,8,6,2,5,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[2,1,6,5,3,8,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[3,8,6,4,5,2,7,1] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,6,8,5,3,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,6,5,8,2,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,4,7,2,3,5,6,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[2,6,4,5,8,3,1,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[1,7,3,2,8,5,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[1,5,7,4,3,8,6,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[1,2,6,7,5,3,4,8] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,5,6,3,4,7,8] => 4
[1,5,6,7,3,4,2,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[4,6,8,5,2,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[1,3,5,8,7,2,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,6,7] => 1
[4,3,6,5,8,2,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[1,7,8,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[1,6,5,7,3,8,2,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,8,5,3,7,6,2,4] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[6,4,2,3,8,7,5,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[6,5,1,3,8,4,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,4,3,7,6,2,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[1,5,7,3,6,4,2,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[4,8,2,6,5,3,7,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,8,5,6,1,2,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,3,6,8,5,2,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,2,3,6,8,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[3,4,5,8,6,1,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[3,4,5,8,6,1,2,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 2
[8,2,6,4,1,3,7,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,5,6,3,7,2,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[6,8,5,1,7,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[8,4,2,6,7,1,5,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,7,8,3,6,5,2,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,7,3,5,6,8] => 2
[4,6,8,2,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,4,7,5,6,2,1,3] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[2,8,4,6,7,3,5,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[3,8,6,2,1,7,4,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[4,8,1,3,6,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[6,8,7,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[8,4,2,6,5,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[8,7,9,6,5,4,2,3,1] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[1,3,6,7,5,2,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[4,6,3,2,5,8,7,1] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[4,8,2,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[1,4,7,5,6,2,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[6,5,1,8,3,7,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,8,7,6,3,5,4,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,8,3,4,5,7] => 1
[1,8,5,7,6,4,3,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[1,4,7,2,5,3,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,8,5,3,2,7,4,6] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,8,4,7] => 1
[1,5,4,7,8,3,6,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[4,8,1,5,6,2,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 0
[4,6,5,8,2,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[4,2,3,6,8,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[6,8,2,1,4,5,3,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,8,7] => 0
[1,5,4,8,7,3,2,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,5,2,3,4,8,6,7] => 1
[2,4,8,6,5,7,1,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[8,7,3,6,1,4,2,5] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,5,1,7,8,2,3,6] => 0
[6,5,1,8,3,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,8,7,3,5,2,6,4] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,8,4,6] => 1
[2,4,8,3,6,5,7,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[1,7,3,8,5,4,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[2,8,6,4,3,1,7,5] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,8,5] => 0
[1,5,8,3,4,7,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[1,3,6,5,7,2,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,6,4,5,7,8] => 3
[1,3,7,6,8,5,2,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,7,4,5,6,8] => 2
[1,3,7,5,8,4,6,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5,8] => 2
[8,1,6,3,7,5,4,2] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,5,1,7,3,4,8,6] => 0
[2,8,1,5,6,4,3,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[1,6,5,7,8,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[4,8,5,2,7,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[7,8,1,9,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[1,8,3,7,5,2,6,4] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,8,5,6] => 1
[8,6,2,4,5,1,7,3] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[1,5,7,6,3,8,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[8,7,1,3,5,2,6,4] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,8,4,6] => 0
[4,8,7,3,5,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,1,2,7,8,5,6] => 0
[8,4,6,2,1,5,7,3] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,4,7,5,2,3,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[6,5,1,3,8,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,4,7,5,8,2,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 2
[1,7,2,5,6,3,4,8] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,3,5,6,2,7,4,8] => 2
[7,6,8,9,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[7,6,8,5,9,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[1,8,3,5,7,4,2,6] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,8,5,7] => 1
[8,1,6,2,3,7,4,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,7,1,8,3] => 0
[4,2,8,5,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,2,6,8,5,7] => 0
[6,5,8,1,7,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[2,6,1,5,3,4,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,7,1,5,4,3,2,8] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[4,8,6,5,7,1,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[4,2,8,6,5,1,3,7] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,6,3,5,1,8,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[2,6,5,3,8,4,7,1] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[2,6,8,1,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[4,6,8,5,3,1,2,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[5,6,8,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2,3,4,6,8,7] => 1
[2,8,5,4,3,6,1,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[8,4,2,6,5,7,3,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[1,5,3,4,7,2,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6,8] => 2
[1,5,7,8,4,6,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,3,4,7,6,8] => 2
[2,8,1,5,6,4,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[4,6,5,3,1,8,7,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,3,6,2,5,8,1,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[8,7,9,6,5,4,2,1,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[8,9,7,6,5,4,2,1,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[8,9,7,6,5,4,2,3,1] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[1,7,5,6,4,8,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[1,5,6,7,3,2,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,3,6,7,8] => 4
[8,2,1,6,4,7,3,5] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[2,6,1,8,4,7,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[6,8,7,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[1,8,3,7,6,2,5,4] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,8,3,5,6,7] => 1
[1,7,5,8,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[1,7,3,8,2,5,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[2,6,8,4,7,1,3,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,8,7] => 0
[2,8,5,6,4,1,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[6,8,4,2,1,7,3,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[4,8,6,2,5,7,3,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,6,5,3,2,7,4,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[1,7,5,4,3,2,8,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,2,3,4,7,5,8] => 2
[4,8,6,5,7,2,3,1] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[4,3,1,6,2,5,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[8,2,5,3,7,6,4,1] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[2,1,6,5,8,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,5,6,3,4,8,7] => 0
[6,1,5,4,7,3,8,2] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,6,1,3,4,5,7,8] => 2
[8,2,5,7,3,1,4,6] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,1,5,6,2,8,4,7] => 0
[4,6,3,2,5,1,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,3,6,5,8,7] => 0
[2,4,3,8,6,1,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,8,6] => 0
[6,8,4,2,5,3,7,1] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,8,7] => 0
[8,2,6,4,3,7,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,8,5] => 0
[1,7,5,3,4,8,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4,8] => 2
[1,5,3,8,4,7,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,8,6,7] => 1
[8,4,2,3,1,6,7,5] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[3,8,2,6,4,7,1,5] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,6,7,4,8,5] => 0
[6,5,4,1,7,2,3,8] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,5,6,1,2,3,7,8] => 2
[10,8,7,6,9,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,10,8] => 0
[8,7,6,5,4,2,3,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,8,2,3,4,5,6,9] => 1
[7,1,8,2,3,4,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [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] => 2
[1,8,5,7,4,6,3,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,2,3,4,8,5,7] => 1
[1,4,7,6,8,3,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
[2,8,4,6,7,1,5,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,8,6] => 0
[2,8,5,1,4,3,6,7] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,6,3,4,7,8,5] => 0
[9,7,6,5,4,3,2,8,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,6,9,7] => 0
[8,6,2,4,3,5,1,7] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,8,5] => 0
[8,4,7,5,2,3,1,6] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,2,7,8,3,6] => 0
[4,6,5,3,8,7,1,2] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => 0
[4,8,6,2,5,7,1,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[10,8,9,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,10,8] => 0
[6,8,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 0
[1,4,5,7,3,6,8,2] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,3,5,7,6,8] => 3
[8,4,2,6,7,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,8,6] => 0
[6,5,1,3,8,2,4,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,1,6,2,4,8,7] => 0
[4,1,3,8,6,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,1,3,7,5,8,6] => 0
[7,6,8,5,4,3,2,9,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,2,3,4,5,6,8,9] => 2
[4,2,6,3,5,8,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,8,7] => 0
[8,9,7,6,5,4,1,3,2] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,8,1,2,3,4,5,7,9] => 1
[8,7,9,6,5,4,1,3,2] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,8,1,2,3,4,5,7,9] => 1
[10,8,7,6,5,4,3,2,9,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,10,8] => 0
[1,7,3,5,4,2,6,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5,8] => 2
[4,8,2,6,7,1,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,8,6] => 0
[1,6,5,7,3,4,8,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,6,3,4,7,8] => 3
[2,6,5,4,8,7,1,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,3,4,5,8,7] => 0
[9,7,6,5,4,3,8,2,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,6,9,7] => 0
[10,8,7,6,5,4,3,9,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,10,8] => 0
[1,4,3,7,6,2,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,2,3,7,5,6,8] => 2
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,1 2,3,0,1 9,8,6,0,1 44,45,20,10,0,1 265,264,135,40,15,0,1
$F_{1} = q$
$F_{2} = 1 + q^{2}$
$F_{3} = 2 + 3\ q + q^{3}$
$F_{4} = 9 + 8\ q + 6\ q^{2} + q^{4}$
$F_{5} = 44 + 45\ q + 20\ q^{2} + 10\ q^{3} + q^{5}$
$F_{6} = 265 + 264\ q + 135\ q^{2} + 40\ q^{3} + 15\ q^{4} + q^{6}$
Description
The number of fixed points of a permutation.
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 Dyck path: up step, left tree, down step, right tree
Description
Return the associated Dyck path, using the bijection 1L0R.
This is given recursively as follows:
This is given recursively as follows:
- a leaf is associated to the empty Dyck Word
- a tree with children $l,r$ is associated with the Dyck path described by 1L0R where $L$ and $R$ are respectively the Dyck words associated with the trees $l$ and $r$.
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.
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