Identifier
-
Mp00012:
Binary trees
—to Dyck path: up step, left tree, down step, right tree⟶
Dyck paths
Mp00024: Dyck paths —to 321-avoiding permutation⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
St000157: Standard tableaux ⟶ ℤ
Values
[.,.] => [1,0] => [1] => [[1]] => 0
[.,[.,.]] => [1,0,1,0] => [2,1] => [[1],[2]] => 1
[[.,.],.] => [1,1,0,0] => [1,2] => [[1,2]] => 0
[.,[.,[.,.]]] => [1,0,1,0,1,0] => [2,1,3] => [[1,3],[2]] => 1
[.,[[.,.],.]] => [1,0,1,1,0,0] => [2,3,1] => [[1,2],[3]] => 1
[[.,.],[.,.]] => [1,1,0,0,1,0] => [3,1,2] => [[1,3],[2]] => 1
[[.,[.,.]],.] => [1,1,0,1,0,0] => [1,3,2] => [[1,2],[3]] => 1
[[[.,.],.],.] => [1,1,1,0,0,0] => [1,2,3] => [[1,2,3]] => 0
[.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [2,1,4,3] => [[1,3],[2,4]] => 2
[.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [2,4,1,3] => [[1,2],[3,4]] => 1
[.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0] => [2,1,3,4] => [[1,3,4],[2]] => 1
[.,[[.,[.,.]],.]] => [1,0,1,1,0,1,0,0] => [2,3,1,4] => [[1,2,4],[3]] => 1
[.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => [[1,2,3],[4]] => 1
[[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => [3,1,4,2] => [[1,3],[2,4]] => 2
[[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => [[1,2],[3,4]] => 1
[[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => [3,1,2,4] => [[1,3,4],[2]] => 1
[[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => [[1,3,4],[2]] => 1
[[.,[.,[.,.]]],.] => [1,1,0,1,0,1,0,0] => [1,3,2,4] => [[1,2,4],[3]] => 1
[[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0] => [1,3,4,2] => [[1,2,3],[4]] => 1
[[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => [1,4,2,3] => [[1,2,4],[3]] => 1
[[[.,[.,.]],.],.] => [1,1,1,0,1,0,0,0] => [1,2,4,3] => [[1,2,3],[4]] => 1
[[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => [[1,2,3,4]] => 0
[.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5] => [[1,3,5],[2,4]] => 2
[.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,5] => [[1,2,5],[3,4]] => 1
[.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3] => [[1,3,4],[2,5]] => 2
[.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,1,0,0] => [2,4,1,5,3] => [[1,2,4],[3,5]] => 2
[.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,1,0,0,0] => [2,4,5,1,3] => [[1,2,3],[4,5]] => 1
[.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,4] => [[1,3,5],[2,4]] => 2
[.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,4] => [[1,2,5],[3,4]] => 1
[.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,4] => [[1,3,4],[2,5]] => 2
[.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 1
[.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,1,0,1,0,0] => [2,3,1,5,4] => [[1,2,4],[3,5]] => 2
[.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4] => [[1,2,3],[4,5]] => 1
[.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [2,3,1,4,5] => [[1,2,4,5],[3]] => 1
[.,[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,1,0,0,0] => [2,3,4,1,5] => [[1,2,3,5],[4]] => 1
[.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 1
[[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,5] => [[1,3,5],[2,4]] => 2
[[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,5] => [[1,2,5],[3,4]] => 1
[[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => [3,1,4,5,2] => [[1,3,4],[2,5]] => 2
[[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => [3,4,1,5,2] => [[1,2,4],[3,5]] => 2
[[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => [[1,2,3],[4,5]] => 1
[[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4] => [[1,3,5],[2,4]] => 2
[[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4] => [[1,2,5],[3,4]] => 1
[[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3] => [[1,3,5],[2,4]] => 2
[[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => [[1,2,5],[3,4]] => 1
[[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4] => [[1,3,4],[2,5]] => 2
[[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,4,5] => [[1,3,4,5],[2]] => 1
[[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3] => [[1,3,4],[2,5]] => 2
[[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,3,5] => [[1,3,4,5],[2]] => 1
[[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => [[1,3,4,5],[2]] => 1
[[.,[.,[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4] => [[1,2,4],[3,5]] => 2
[[.,[.,[[.,.],.]]],.] => [1,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4] => [[1,2,3],[4,5]] => 1
[[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0] => [1,3,2,4,5] => [[1,2,4,5],[3]] => 1
[[.,[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,0] => [1,3,4,2,5] => [[1,2,3,5],[4]] => 1
[[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => [1,3,4,5,2] => [[1,2,3,4],[5]] => 1
[[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3] => [[1,2,4],[3,5]] => 2
[[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3] => [[1,2,3],[4,5]] => 1
[[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => [1,4,2,3,5] => [[1,2,4,5],[3]] => 1
[[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,4] => [[1,2,4,5],[3]] => 1
[[[.,[.,[.,.]]],.],.] => [1,1,1,0,1,0,1,0,0,0] => [1,2,4,3,5] => [[1,2,3,5],[4]] => 1
[[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0] => [1,2,4,5,3] => [[1,2,3,4],[5]] => 1
[[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => [1,2,5,3,4] => [[1,2,3,5],[4]] => 1
[[[[.,[.,.]],.],.],.] => [1,1,1,1,0,1,0,0,0,0] => [1,2,3,5,4] => [[1,2,3,4],[5]] => 1
[[[[[.,.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [[1,2,3,4,5]] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => 3
[.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5] => [[1,2,5],[3,4,6]] => 2
[.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5] => [[1,3,4],[2,5,6]] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5] => [[1,2,4],[3,5,6]] => 2
[.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5] => [[1,2,3],[4,5,6]] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,5,6] => [[1,2,5,6],[3,4]] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [[1,3,4,6],[2,5]] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => 2
[.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,5,3,6] => [[1,2,4,6],[3,5]] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => [[1,2,3,6],[4,5]] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,5,6,3] => [[1,2,4,5],[3,6]] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,5,1,6,3] => [[1,2,3,5],[4,6]] => 2
[.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,5,6,1,3] => [[1,2,3,4],[5,6]] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4] => [[1,3,5],[2,4,6]] => 3
[.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4] => [[1,2,5],[3,4,6]] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4] => [[1,3,4],[2,5,6]] => 2
[.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4] => [[1,2,4],[3,5,6]] => 2
[.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4] => [[1,2,3],[4,5,6]] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,6] => [[1,3,5,6],[2,4]] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,6] => [[1,2,5,6],[3,4]] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5] => [[1,3,5,6],[2,4]] => 2
[.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5] => [[1,2,5,6],[3,4]] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5] => [[1,3,4,6],[2,5]] => 2
[.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => 2
[.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,6] => [[1,2,4,6],[3,5]] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => [[1,2,3,6],[4,5]] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,1,6,4] => [[1,2,3,5],[4,6]] => 2
[.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,6,1,4] => [[1,2,3,4],[5,6]] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5] => [[1,2,4,6],[3,5]] => 2
[.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5] => [[1,2,3,6],[4,5]] => 1
[.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => 2
[.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => 1
>>> Load all 1872 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => 2
[.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5] => [[1,2,3,4],[5,6]] => 1
[.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => 1
[.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => 1
[.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5] => [[1,3,5],[2,4,6]] => 3
[[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5] => [[1,2,5],[3,4,6]] => 2
[[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5] => [[1,3,4],[2,5,6]] => 2
[[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5] => [[1,2,4],[3,5,6]] => 2
[[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5] => [[1,2,3],[4,5,6]] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => [[1,3,5,6],[2,4]] => 2
[[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => [[1,3,4,6],[2,5]] => 2
[[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,5,6,2] => [[1,3,4,5],[2,6]] => 2
[[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,5,2,6] => [[1,2,4,6],[3,5]] => 2
[[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => [[1,2,3,6],[4,5]] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,5,6,2] => [[1,2,4,5],[3,6]] => 2
[[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,5,1,6,2] => [[1,2,3,5],[4,6]] => 2
[[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2] => [[1,2,3,4],[5,6]] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,4] => [[1,3,5],[2,4,6]] => 3
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,6,4] => [[1,2,5],[3,4,6]] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4] => [[1,3,4],[2,5,6]] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4] => [[1,2,4],[3,5,6]] => 2
[[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4] => [[1,2,3],[4,5,6]] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3] => [[1,3,5],[2,4,6]] => 3
[[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,6,3] => [[1,2,5],[3,4,6]] => 2
[[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3] => [[1,3,4],[2,5,6]] => 2
[[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3] => [[1,2,4],[3,5,6]] => 2
[[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,6] => [[1,3,5,6],[2,4]] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,6] => [[1,2,5,6],[3,4]] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5] => [[1,3,5,6],[2,4]] => 2
[[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5] => [[1,2,5,6],[3,4]] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,6] => [[1,3,5,6],[2,4]] => 2
[[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,6] => [[1,2,5,6],[3,4]] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5] => [[1,3,5,6],[2,4]] => 2
[[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5] => [[1,2,5,6],[3,4]] => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4] => [[1,3,5,6],[2,4]] => 2
[[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => [[1,2,5,6],[3,4]] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,6] => [[1,3,4,6],[2,5]] => 2
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,6,4] => [[1,3,4,5],[2,6]] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5] => [[1,3,4,6],[2,5]] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5] => [[1,3,4,5],[2,6]] => 2
[[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,5,6] => [[1,3,4,5,6],[2]] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,6] => [[1,3,4,6],[2,5]] => 2
[[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,6,3] => [[1,3,4,5],[2,6]] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5] => [[1,3,4,6],[2,5]] => 2
[[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4] => [[1,3,4,6],[2,5]] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5] => [[1,3,4,5],[2,6]] => 2
[[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,5,6] => [[1,3,4,5,6],[2]] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4] => [[1,3,4,5],[2,6]] => 2
[[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,6] => [[1,3,4,5,6],[2]] => 1
[[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => [[1,3,4,5,6],[2]] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => 2
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => [[1,2,3,6],[4,5]] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,6,4] => [[1,2,3,5],[4,6]] => 2
[[.,[.,[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,6,2,4] => [[1,2,3,4],[5,6]] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5] => [[1,2,4,6],[3,5]] => 2
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5] => [[1,2,3,6],[4,5]] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => 2
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => 2
[[.,[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5] => [[1,2,3,4],[5,6]] => 1
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,4,2,5,6] => [[1,2,3,5,6],[4]] => 1
[[.,[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,4,5,2,6] => [[1,2,3,4,6],[5]] => 1
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,5,6,2] => [[1,2,3,4,5],[6]] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,6] => [[1,2,4,6],[3,5]] => 2
[[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => [[1,2,3,6],[4,5]] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,6,3] => [[1,2,4,5],[3,6]] => 2
[[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,6,3] => [[1,2,3,5],[4,6]] => 2
[[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,5,6,2,3] => [[1,2,3,4],[5,6]] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5] => [[1,2,4,6],[3,5]] => 2
[[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5] => [[1,2,3,6],[4,5]] => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4] => [[1,2,4,6],[3,5]] => 2
[[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4] => [[1,2,3,6],[4,5]] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5] => [[1,2,4,5],[3,6]] => 2
[[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,5,6] => [[1,2,4,5,6],[3]] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4] => [[1,2,4,5],[3,6]] => 2
[[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,6] => [[1,2,4,5,6],[3]] => 1
[[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5] => [[1,2,4,5,6],[3]] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => 2
[[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5] => [[1,2,3,4],[5,6]] => 1
[[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => 1
[[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,4,5,3,6] => [[1,2,3,4,6],[5]] => 1
[[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,2,4,5,6,3] => [[1,2,3,4,5],[6]] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4] => [[1,2,3,5],[4,6]] => 2
[[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4] => [[1,2,3,4],[5,6]] => 1
[[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,6] => [[1,2,3,5,6],[4]] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => [[1,2,3,5,6],[4]] => 1
[[[[.,[.,[.,.]]],.],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => 1
[[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,5,6,4] => [[1,2,3,4,5],[6]] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5] => [[1,2,3,4,6],[5]] => 1
[[[[[.,[.,.]],.],.],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => 1
[[[[[[.,.],.],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => 3
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7] => [[1,2,5,7],[3,4,6]] => 2
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7] => [[1,3,4,7],[2,5,6]] => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7] => [[1,2,4,7],[3,5,6]] => 2
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7] => [[1,2,3,7],[4,5,6]] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5] => [[1,3,5,6],[2,4,7]] => 3
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5] => [[1,2,5,6],[3,4,7]] => 2
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5] => [[1,3,4,6],[2,5,7]] => 3
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5] => [[1,3,4,5],[2,6,7]] => 2
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5] => [[1,2,4,6],[3,5,7]] => 3
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5] => [[1,2,3,6],[4,5,7]] => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5] => [[1,2,4,5],[3,6,7]] => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5] => [[1,2,3,5],[4,6,7]] => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5] => [[1,2,3,4],[5,6,7]] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6] => [[1,3,5,7],[2,4,6]] => 3
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6] => [[1,2,5,7],[3,4,6]] => 2
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6] => [[1,3,4,7],[2,5,6]] => 2
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6] => [[1,2,4,7],[3,5,6]] => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6] => [[1,2,3,7],[4,5,6]] => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7]] => 3
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6] => [[1,2,5,6],[3,4,7]] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7] => [[1,2,5,6,7],[3,4]] => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6] => [[1,3,4,6],[2,5,7]] => 3
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6] => [[1,3,4,5],[2,6,7]] => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7] => [[1,3,4,6,7],[2,5]] => 2
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7] => [[1,3,4,5,7],[2,6]] => 2
[.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3] => [[1,3,4,5,6],[2,7]] => 2
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6] => [[1,2,4,6],[3,5,7]] => 3
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6] => [[1,2,3,6],[4,5,7]] => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6] => [[1,2,4,5],[3,6,7]] => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6] => [[1,2,3,5],[4,6,7]] => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6] => [[1,2,3,4],[5,6,7]] => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7] => [[1,2,4,6,7],[3,5]] => 2
[.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7] => [[1,2,3,6,7],[4,5]] => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7] => [[1,2,4,5,7],[3,6]] => 2
[.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3] => [[1,2,4,5,6],[3,7]] => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7] => [[1,2,3,5,7],[4,6]] => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7] => [[1,2,3,4,7],[5,6]] => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3] => [[1,2,3,5,6],[4,7]] => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3] => [[1,2,3,4,6],[5,7]] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3] => [[1,2,3,4,5],[6,7]] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7] => [[1,3,5,7],[2,4,6]] => 3
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7] => [[1,2,5,7],[3,4,6]] => 2
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7] => [[1,3,4,7],[2,5,6]] => 2
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7] => [[1,2,4,7],[3,5,6]] => 2
[.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7] => [[1,2,3,7],[4,5,6]] => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4] => [[1,3,5,6],[2,4,7]] => 3
[.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4] => [[1,2,5,6],[3,4,7]] => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4] => [[1,3,4,6],[2,5,7]] => 3
[.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4] => [[1,3,4,5],[2,6,7]] => 2
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4] => [[1,2,4,6],[3,5,7]] => 3
[.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4] => [[1,2,3,6],[4,5,7]] => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4] => [[1,2,4,5],[3,6,7]] => 2
[.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4] => [[1,2,3,5],[4,6,7]] => 2
[.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4] => [[1,2,3,4],[5,6,7]] => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6] => [[1,3,5,7],[2,4,6]] => 3
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6] => [[1,2,5,7],[3,4,6]] => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6] => [[1,3,4,7],[2,5,6]] => 2
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6] => [[1,2,4,7],[3,5,6]] => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6] => [[1,2,3,7],[4,5,6]] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5] => [[1,3,5,7],[2,4,6]] => 3
[.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5] => [[1,2,5,7],[3,4,6]] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5] => [[1,3,4,7],[2,5,6]] => 2
[.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5] => [[1,2,4,7],[3,5,6]] => 2
[.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5] => [[1,2,3,7],[4,5,6]] => 1
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6] => [[1,3,5,6],[2,4,7]] => 3
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6] => [[1,2,5,6],[3,4,7]] => 2
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7] => [[1,3,5,6,7],[2,4]] => 2
[.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7] => [[1,2,5,6,7],[3,4]] => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5] => [[1,3,5,6],[2,4,7]] => 3
[.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5] => [[1,2,5,6],[3,4,7]] => 2
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7] => [[1,3,5,6,7],[2,4]] => 2
[.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7] => [[1,2,5,6,7],[3,4]] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6] => [[1,3,5,6,7],[2,4]] => 2
[.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6] => [[1,2,5,6,7],[3,4]] => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => 3
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6] => [[1,3,4,5],[2,6,7]] => 2
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => 2
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7] => [[1,3,4,5,7],[2,6]] => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4] => [[1,3,4,5,6],[2,7]] => 2
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => [[1,3,4,6],[2,5,7]] => 3
[.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5] => [[1,3,4,5],[2,6,7]] => 2
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7] => [[1,3,4,6,7],[2,5]] => 2
[.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6] => [[1,3,4,6,7],[2,5]] => 2
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => 2
[.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5] => [[1,3,4,5,6],[2,7]] => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6] => [[1,3,4,5,7],[2,6]] => 2
[.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => 2
[.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 3
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6] => [[1,2,3,6],[4,5,7]] => 2
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6] => [[1,2,4,5],[3,6,7]] => 2
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6] => [[1,2,3,5],[4,6,7]] => 2
[.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6] => [[1,2,3,4],[5,6,7]] => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7] => [[1,2,4,6,7],[3,5]] => 2
[.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7] => [[1,2,3,6,7],[4,5]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7] => [[1,2,4,5,7],[3,6]] => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4] => [[1,2,4,5,6],[3,7]] => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7] => [[1,2,3,5,7],[4,6]] => 2
[.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7] => [[1,2,3,4,7],[5,6]] => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4] => [[1,2,3,5,6],[4,7]] => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4] => [[1,2,3,4,6],[5,7]] => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4] => [[1,2,3,4,5],[6,7]] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5] => [[1,2,4,6],[3,5,7]] => 3
[.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5] => [[1,2,3,6],[4,5,7]] => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5] => [[1,2,4,5],[3,6,7]] => 2
[.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5] => [[1,2,3,5],[4,6,7]] => 2
[.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5] => [[1,2,3,4],[5,6,7]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7] => [[1,2,4,6,7],[3,5]] => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7] => [[1,2,3,6,7],[4,5]] => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6] => [[1,2,4,6,7],[3,5]] => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6] => [[1,2,3,6,7],[4,5]] => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7] => [[1,2,4,5,7],[3,6]] => 2
[.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5] => [[1,2,4,5,6],[3,7]] => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6] => [[1,2,4,5,7],[3,6]] => 2
[.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 2
[.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7] => [[1,2,3,5,7],[4,6]] => 2
[.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7] => [[1,2,3,4,7],[5,6]] => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5] => [[1,2,3,5,6],[4,7]] => 2
[.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5] => [[1,2,3,4,6],[5,7]] => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5] => [[1,2,3,4,5],[6,7]] => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6] => [[1,2,3,5,7],[4,6]] => 2
[.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6] => [[1,2,3,4,7],[5,6]] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6] => [[1,2,3,5,6],[4,7]] => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6] => [[1,2,3,4,6],[5,7]] => 2
[.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6] => [[1,2,3,4,5],[6,7]] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7] => [[1,3,5,7],[2,4,6]] => 3
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7] => [[1,2,5,7],[3,4,6]] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7] => [[1,3,4,7],[2,5,6]] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7] => [[1,2,4,7],[3,5,6]] => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7] => [[1,2,3,7],[4,5,6]] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5] => [[1,3,5,6],[2,4,7]] => 3
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5] => [[1,2,5,6],[3,4,7]] => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5] => [[1,3,4,6],[2,5,7]] => 3
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5] => [[1,3,4,5],[2,6,7]] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5] => [[1,2,4,6],[3,5,7]] => 3
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5] => [[1,2,3,6],[4,5,7]] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5] => [[1,2,4,5],[3,6,7]] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5] => [[1,2,3,5],[4,6,7]] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5] => [[1,2,3,4],[5,6,7]] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6] => [[1,3,5,7],[2,4,6]] => 3
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6] => [[1,2,5,7],[3,4,6]] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6] => [[1,3,4,7],[2,5,6]] => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6] => [[1,2,4,7],[3,5,6]] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6] => [[1,2,3,7],[4,5,6]] => 1
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6] => [[1,3,5,6],[2,4,7]] => 3
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6] => [[1,2,5,6],[3,4,7]] => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7] => [[1,3,5,6,7],[2,4]] => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6] => [[1,3,4,6],[2,5,7]] => 3
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6] => [[1,3,4,5],[2,6,7]] => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7] => [[1,3,4,6,7],[2,5]] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7] => [[1,3,4,5,7],[2,6]] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2] => [[1,3,4,5,6],[2,7]] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6] => [[1,2,4,6],[3,5,7]] => 3
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6] => [[1,2,3,6],[4,5,7]] => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6] => [[1,2,4,5],[3,6,7]] => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6] => [[1,2,3,5],[4,6,7]] => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6] => [[1,2,3,4],[5,6,7]] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7] => [[1,2,4,6,7],[3,5]] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7] => [[1,2,3,6,7],[4,5]] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7] => [[1,2,4,5,7],[3,6]] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2] => [[1,2,4,5,6],[3,7]] => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7] => [[1,2,3,5,7],[4,6]] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7] => [[1,2,3,4,7],[5,6]] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2] => [[1,2,3,5,6],[4,7]] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2] => [[1,2,3,4,6],[5,7]] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2] => [[1,2,3,4,5],[6,7]] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,7] => [[1,3,5,7],[2,4,6]] => 3
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,7] => [[1,2,5,7],[3,4,6]] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7] => [[1,3,4,7],[2,5,6]] => 2
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7] => [[1,2,4,7],[3,5,6]] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7] => [[1,2,3,7],[4,5,6]] => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4] => [[1,3,5,6],[2,4,7]] => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4] => [[1,2,5,6],[3,4,7]] => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4] => [[1,3,4,6],[2,5,7]] => 3
[[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,6,7,2,4] => [[1,3,4,5],[2,6,7]] => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4] => [[1,2,4,6],[3,5,7]] => 3
[[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4] => [[1,2,3,6],[4,5,7]] => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4] => [[1,2,4,5],[3,6,7]] => 2
[[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4] => [[1,2,3,5],[4,6,7]] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4] => [[1,2,3,4],[5,6,7]] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7] => [[1,3,5,7],[2,4,6]] => 3
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,7] => [[1,2,5,7],[3,4,6]] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7] => [[1,3,4,7],[2,5,6]] => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7] => [[1,2,4,7],[3,5,6]] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3] => [[1,3,5,6],[2,4,7]] => 3
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3] => [[1,2,5,6],[3,4,7]] => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3] => [[1,3,4,6],[2,5,7]] => 3
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3] => [[1,3,4,5],[2,6,7]] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3] => [[1,2,4,6],[3,5,7]] => 3
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3] => [[1,2,3,6],[4,5,7]] => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3] => [[1,2,4,5],[3,6,7]] => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3] => [[1,2,3,5],[4,6,7]] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3] => [[1,2,3,4],[5,6,7]] => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6] => [[1,3,5,7],[2,4,6]] => 3
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6] => [[1,2,5,7],[3,4,6]] => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6] => [[1,3,4,7],[2,5,6]] => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6] => [[1,2,4,7],[3,5,6]] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6] => [[1,2,3,7],[4,5,6]] => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5] => [[1,3,5,7],[2,4,6]] => 3
[[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,7,4,5] => [[1,2,5,7],[3,4,6]] => 2
[[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5] => [[1,3,4,7],[2,5,6]] => 2
[[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,6,1,7,2,4,5] => [[1,2,4,7],[3,5,6]] => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5] => [[1,2,3,7],[4,5,6]] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6] => [[1,3,5,7],[2,4,6]] => 3
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6] => [[1,2,5,7],[3,4,6]] => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,5,7,2,3,6] => [[1,3,4,7],[2,5,6]] => 2
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,5,1,7,2,3,6] => [[1,2,4,7],[3,5,6]] => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,5,7,1,2,3,6] => [[1,2,3,7],[4,5,6]] => 1
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5] => [[1,3,5,7],[2,4,6]] => 3
[[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5] => [[1,2,5,7],[3,4,6]] => 2
[[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5] => [[1,3,4,7],[2,5,6]] => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5] => [[1,2,4,7],[3,5,6]] => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5] => [[1,2,3,7],[4,5,6]] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4] => [[1,3,5,7],[2,4,6]] => 3
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,6,1,2,7,3,4] => [[1,2,5,7],[3,4,6]] => 2
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,1,6,7,2,3,4] => [[1,3,4,7],[2,5,6]] => 2
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4] => [[1,2,4,7],[3,5,6]] => 2
[[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4] => [[1,2,3,7],[4,5,6]] => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6] => [[1,3,5,6],[2,4,7]] => 3
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6] => [[1,2,5,6],[3,4,7]] => 2
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7] => [[1,3,5,6,7],[2,4]] => 2
[[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5] => [[1,3,5,6],[2,4,7]] => 3
[[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5] => [[1,2,5,6],[3,4,7]] => 2
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7] => [[1,3,5,6,7],[2,4]] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7] => [[1,2,5,6,7],[3,4]] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6] => [[1,3,5,6,7],[2,4]] => 2
[[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6] => [[1,2,5,6,7],[3,4]] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6] => [[1,3,5,6],[2,4,7]] => 3
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6] => [[1,2,5,6],[3,4,7]] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7] => [[1,3,5,6,7],[2,4]] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5] => [[1,3,5,6],[2,4,7]] => 3
[[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5] => [[1,2,5,6],[3,4,7]] => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4] => [[1,3,5,6],[2,4,7]] => 3
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,7,4] => [[1,2,5,6],[3,4,7]] => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7] => [[1,3,5,6,7],[2,4]] => 2
[[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7] => [[1,2,5,6,7],[3,4]] => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6] => [[1,3,5,6,7],[2,4]] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6] => [[1,2,5,6,7],[3,4]] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7] => [[1,3,5,6,7],[2,4]] => 2
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,7] => [[1,2,5,6,7],[3,4]] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6] => [[1,3,5,6,7],[2,4]] => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6] => [[1,2,5,6,7],[3,4]] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5] => [[1,3,5,6,7],[2,4]] => 2
[[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5] => [[1,2,5,6,7],[3,4]] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6] => [[1,3,4,6],[2,5,7]] => 3
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6] => [[1,3,4,5],[2,6,7]] => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,7] => [[1,3,4,6,7],[2,5]] => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,6,4,7] => [[1,3,4,5,7],[2,6]] => 2
[[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4] => [[1,3,4,5,6],[2,7]] => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => [[1,3,4,6],[2,5,7]] => 3
[[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,7,4,5] => [[1,3,4,5],[2,6,7]] => 2
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,7] => [[1,3,4,6,7],[2,5]] => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6] => [[1,3,4,6,7],[2,5]] => 2
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,7] => [[1,3,4,5,7],[2,6]] => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5] => [[1,3,4,5,6],[2,7]] => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6] => [[1,3,4,5,7],[2,6]] => 2
[[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => [[1,3,4,5,6],[2,7]] => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6] => [[1,3,4,6],[2,5,7]] => 3
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6] => [[1,3,4,5],[2,6,7]] => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7] => [[1,3,4,6,7],[2,5]] => 2
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7] => [[1,3,4,5,7],[2,6]] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3] => [[1,3,4,5,6],[2,7]] => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => [[1,3,4,6],[2,5,7]] => 3
[[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5] => [[1,3,4,5],[2,6,7]] => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => [[1,3,4,6],[2,5,7]] => 3
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4] => [[1,3,4,5],[2,6,7]] => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,7] => [[1,3,4,6,7],[2,5]] => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6] => [[1,3,4,6,7],[2,5]] => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7] => [[1,3,4,6,7],[2,5]] => 2
[[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6] => [[1,3,4,6,7],[2,5]] => 2
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5] => [[1,3,4,6,7],[2,5]] => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7] => [[1,3,4,5,7],[2,6]] => 2
[[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5] => [[1,3,4,5,6],[2,7]] => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6] => [[1,3,4,5,7],[2,6]] => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => [[1,3,4,5,6],[2,7]] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7] => [[1,3,4,5,7],[2,6]] => 2
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4] => [[1,3,4,5,6],[2,7]] => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,3,7,4,6] => [[1,3,4,5,7],[2,6]] => 2
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5] => [[1,3,4,5,7],[2,6]] => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => [[1,3,4,5,6],[2,7]] => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => [[1,3,4,5,6],[2,7]] => 2
[[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => [[1,3,4,5,6,7],[2]] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6] => [[1,3,4,5,6,7],[2]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 3
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6] => [[1,2,3,6],[4,5,7]] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6] => [[1,2,4,5],[3,6,7]] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6] => [[1,2,3,5],[4,6,7]] => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6] => [[1,2,3,4],[5,6,7]] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7] => [[1,2,3,6,7],[4,5]] => 1
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7] => [[1,2,4,5,7],[3,6]] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4] => [[1,2,4,5,6],[3,7]] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,6,4,7] => [[1,2,3,5,7],[4,6]] => 2
[[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7] => [[1,2,3,4,7],[5,6]] => 1
[[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4] => [[1,2,3,5,6],[4,7]] => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4] => [[1,2,3,4,6],[5,7]] => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4] => [[1,2,3,4,5],[6,7]] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5] => [[1,2,4,6],[3,5,7]] => 3
[[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5] => [[1,2,3,6],[4,5,7]] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5] => [[1,2,4,5],[3,6,7]] => 2
[[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5] => [[1,2,3,5],[4,6,7]] => 2
[[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,6,7,2,4,5] => [[1,2,3,4],[5,6,7]] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7] => [[1,2,4,6,7],[3,5]] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7] => [[1,2,3,6,7],[4,5]] => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6] => [[1,2,4,6,7],[3,5]] => 2
[[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6] => [[1,2,3,6,7],[4,5]] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,7,5] => [[1,2,4,5,6],[3,7]] => 2
[[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,7,5,6] => [[1,2,4,5,7],[3,6]] => 2
[[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 2
[[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,7] => [[1,2,3,5,7],[4,6]] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7] => [[1,2,3,4,7],[5,6]] => 1
[[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5] => [[1,2,3,5,6],[4,7]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5] => [[1,2,3,4,6],[5,7]] => 2
[[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5] => [[1,2,3,4,5],[6,7]] => 1
[[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,4,2,7,5,6] => [[1,2,3,5,7],[4,6]] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6] => [[1,2,3,4,7],[5,6]] => 1
[[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6] => [[1,2,3,5,6],[4,7]] => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6] => [[1,2,3,4,6],[5,7]] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6] => [[1,2,3,4,5],[6,7]] => 1
[[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7] => [[1,2,3,4,5,7],[6]] => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2] => [[1,2,3,4,5,6],[7]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6] => [[1,2,4,6],[3,5,7]] => 3
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6] => [[1,2,3,6],[4,5,7]] => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6] => [[1,2,4,5],[3,6,7]] => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6] => [[1,2,3,5],[4,6,7]] => 2
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6] => [[1,2,3,4],[5,6,7]] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7] => [[1,2,4,6,7],[3,5]] => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5]] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,6,3,7] => [[1,2,4,5,7],[3,6]] => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3] => [[1,2,4,5,6],[3,7]] => 2
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7] => [[1,2,3,5,7],[4,6]] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7] => [[1,2,3,4,7],[5,6]] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3] => [[1,2,3,5,6],[4,7]] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3] => [[1,2,3,4,6],[5,7]] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3] => [[1,2,3,4,5],[6,7]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5] => [[1,2,4,6],[3,5,7]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,7,5] => [[1,2,3,6],[4,5,7]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5] => [[1,2,4,5],[3,6,7]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5] => [[1,2,3,5],[4,6,7]] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5] => [[1,2,3,4],[5,6,7]] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4] => [[1,2,4,6],[3,5,7]] => 3
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,7,4] => [[1,2,3,6],[4,5,7]] => 2
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4] => [[1,2,4,5],[3,6,7]] => 2
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,5,6,2,7,3,4] => [[1,2,3,5],[4,6,7]] => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7] => [[1,2,4,6,7],[3,5]] => 2
[[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7] => [[1,2,3,6,7],[4,5]] => 1
[[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6] => [[1,2,4,6,7],[3,5]] => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6] => [[1,2,3,6,7],[4,5]] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7] => [[1,2,4,6,7],[3,5]] => 2
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7] => [[1,2,3,6,7],[4,5]] => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6] => [[1,2,4,6,7],[3,5]] => 2
[[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,5,7,2,3,4,6] => [[1,2,3,6,7],[4,5]] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5] => [[1,2,4,6,7],[3,5]] => 2
[[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5] => [[1,2,3,6,7],[4,5]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7] => [[1,2,4,5,7],[3,6]] => 2
[[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5] => [[1,2,4,5,6],[3,7]] => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6] => [[1,2,4,5,7],[3,6]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6] => [[1,2,4,5,6],[3,7]] => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7] => [[1,2,4,5,6,7],[3]] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7] => [[1,2,4,5,7],[3,6]] => 2
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4] => [[1,2,4,5,6],[3,7]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6] => [[1,2,4,5,7],[3,6]] => 2
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5] => [[1,2,4,5,7],[3,6]] => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6] => [[1,2,4,5,6],[3,7]] => 2
[[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7] => [[1,2,4,5,6,7],[3]] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => [[1,2,4,5,6],[3,7]] => 2
[[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7] => [[1,2,4,5,6,7],[3]] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6] => [[1,2,4,5,6,7],[3]] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => 2
[[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7] => [[1,2,3,4,7],[5,6]] => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5] => [[1,2,3,5,6],[4,7]] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,2,4,6,3,7,5] => [[1,2,3,4,6],[5,7]] => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,7,3,5] => [[1,2,3,4,5],[6,7]] => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6] => [[1,2,3,5,7],[4,6]] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6] => [[1,2,3,4,7],[5,6]] => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6] => [[1,2,3,4,6],[5,7]] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6] => [[1,2,3,4,5],[6,7]] => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7] => [[1,2,3,4,5,7],[6]] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3] => [[1,2,3,4,5,6],[7]] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7] => [[1,2,3,5,7],[4,6]] => 2
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6]] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4] => [[1,2,3,5,6],[4,7]] => 2
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4] => [[1,2,3,4,6],[5,7]] => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,6,7,3,4] => [[1,2,3,4,5],[6,7]] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6] => [[1,2,3,5,7],[4,6]] => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6] => [[1,2,3,4,7],[5,6]] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5] => [[1,2,3,5,7],[4,6]] => 2
[[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5] => [[1,2,3,4,7],[5,6]] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6] => [[1,2,3,5,6],[4,7]] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5] => [[1,2,3,5,6],[4,7]] => 2
[[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7] => [[1,2,3,5,6,7],[4]] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6] => [[1,2,3,5,6,7],[4]] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => 2
[[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6] => [[1,2,3,4,5],[6,7]] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7] => [[1,2,3,4,5,7],[6]] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4] => [[1,2,3,4,5,6],[7]] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5] => [[1,2,3,4,6],[5,7]] => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7]] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7] => [[1,2,3,4,6,7],[5]] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6] => [[1,2,3,4,6,7],[5]] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5] => [[1,2,3,4,5,6],[7]] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6] => [[1,2,3,4,5,7],[6]] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => 4
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7] => [[1,2,5,7],[3,4,6,8]] => 3
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,8,7] => [[1,3,4,7],[2,5,6,8]] => 3
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,8,7] => [[1,2,4,7],[3,5,6,8]] => 3
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7] => [[1,2,3,7],[4,5,6,8]] => 2
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,8,5,7] => [[1,3,5,6],[2,4,7,8]] => 3
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,8,5,7] => [[1,2,5,6],[3,4,7,8]] => 2
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,8,5,7] => [[1,3,4,6],[2,5,7,8]] => 3
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,8,3,5,7] => [[1,3,4,5],[2,6,7,8]] => 2
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,8,5,7] => [[1,2,4,6],[3,5,7,8]] => 3
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,8,5,7] => [[1,2,3,6],[4,5,7,8]] => 2
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,8,3,5,7] => [[1,2,4,5],[3,6,7,8]] => 2
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,8,3,5,7] => [[1,2,3,5],[4,6,7,8]] => 2
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7] => [[1,2,3,4],[5,6,7,8]] => 1
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => 3
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7,8] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7,8] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7,8] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7,8] => [[1,2,3,7,8],[4,5,6]] => 1
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,6,7,8,5] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,7,8,5] => [[1,2,5,6,7],[3,4,8]] => 2
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5,8] => [[1,3,4,6,8],[2,5,7]] => 3
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,6,3,7,8,5] => [[1,3,4,6,7],[2,5,8]] => 3
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,6,7,3,8,5] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,6,7,8,3,5] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5,8] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5,8] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5,8] => [[1,2,3,4,8],[5,6,7]] => 1
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,6,3,7,8,5] => [[1,2,4,6,7],[3,5,8]] => 3
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,6,7,3,8,5] => [[1,2,4,5,7],[3,6,8]] => 3
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,6,7,8,3,5] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,6,1,7,3,8,5] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,6,7,1,3,8,5] => [[1,2,3,4,7],[5,6,8]] => 2
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,7,8,1,3,5] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,7,5,8,6] => [[1,3,5,7],[2,4,6,8]] => 4
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,4,1,3,7,5,8,6] => [[1,2,5,7],[3,4,6,8]] => 3
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,7,3,5,8,6] => [[1,3,4,7],[2,5,6,8]] => 3
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,4,1,7,3,5,8,6] => [[1,2,4,7],[3,5,6,8]] => 3
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,4,7,1,3,5,8,6] => [[1,2,3,7],[4,5,6,8]] => 2
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,7,8,5,6] => [[1,3,5,6],[2,4,7,8]] => 3
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,3,7,8,5,6] => [[1,2,5,6],[3,4,7,8]] => 2
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,7,8,3,5,6] => [[1,3,4,5],[2,6,7,8]] => 2
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,4,1,7,3,8,5,6] => [[1,2,4,6],[3,5,7,8]] => 3
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,7,8,3,5,6] => [[1,2,4,5],[3,6,7,8]] => 2
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,4,7,1,8,3,5,6] => [[1,2,3,5],[4,6,7,8]] => 2
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,7,8,1,3,5,6] => [[1,2,3,4],[5,6,7,8]] => 1
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,4,3,8,5,6,7] => [[1,3,5,7,8],[2,4,6]] => 3
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,8,5,6,7] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,4,8,3,5,6,7] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,8,3,5,6,7] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,4,8,1,3,5,6,7] => [[1,2,3,7,8],[4,5,6]] => 1
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,7,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,7,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,4,3,5,8,6,7] => [[1,3,5,6,8],[2,4,7]] => 3
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,8,7] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,4,5,7,3,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,4,5,7,8,3,6] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,4,5,8,3,6,7] => [[1,3,4,5,8],[2,6,7]] => 2
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7,8] => [[1,3,4,6,7,8],[2,5]] => 2
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,4,5,6,8,3,7] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3,8] => [[1,3,4,5,6,8],[2,7]] => 2
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,5,6,7,8,3] => [[1,3,4,5,6,7],[2,8]] => 2
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6,8] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6,8] => [[1,2,3,5,8],[4,6,7]] => 2
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,7,8,6] => [[1,2,4,6,7],[3,5,8]] => 3
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,7,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,1,5,7,3,8,6] => [[1,2,4,5,7],[3,6,8]] => 3
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,1,7,3,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,5,1,7,8,3,6] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,5,7,1,8,3,6] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,5,7,8,1,3,6] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,5,3,8,6,7] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,5,8,3,6,7] => [[1,2,4,5,8],[3,6,7]] => 2
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,4,5,1,8,3,6,7] => [[1,2,3,5,8],[4,6,7]] => 2
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,8,7] => [[1,2,4,6,7],[3,5,8]] => 3
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,4,1,5,6,8,3,7] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3,8] => [[1,2,4,5,6,8],[3,7]] => 2
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1,5,6,7,8,3] => [[1,2,4,5,6,7],[3,8]] => 2
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,4,5,1,6,8,3,7] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,4,5,6,1,8,3,7] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,4,5,6,8,1,3,7] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,4,5,1,6,7,8,3] => [[1,2,3,5,6,7],[4,8]] => 2
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3,8] => [[1,2,3,4,6,8],[5,7]] => 2
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3,8] => [[1,2,3,4,5,8],[6,7]] => 1
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,4,5,6,1,7,8,3] => [[1,2,3,4,6,7],[5,8]] => 2
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,4,5,6,7,1,8,3] => [[1,2,3,4,5,7],[6,8]] => 2
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,5,6,7,8,1,3] => [[1,2,3,4,5,6],[7,8]] => 1
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,8,7] => [[1,3,5,7],[2,4,6,8]] => 4
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,8,7] => [[1,2,5,7],[3,4,6,8]] => 3
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,8,7] => [[1,3,4,7],[2,5,6,8]] => 3
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,8,7] => [[1,2,4,7],[3,5,6,8]] => 3
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,8,7] => [[1,2,3,7],[4,5,6,8]] => 2
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,8,4,7] => [[1,3,5,6],[2,4,7,8]] => 3
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,8,4,7] => [[1,2,5,6],[3,4,7,8]] => 2
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,5,6,8,3,4,7] => [[1,3,4,5],[2,6,7,8]] => 2
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,8,4,7] => [[1,2,3,6],[4,5,7,8]] => 2
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,5,1,6,8,3,4,7] => [[1,2,4,5],[3,6,7,8]] => 2
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,5,6,8,1,3,4,7] => [[1,2,3,4],[5,6,7,8]] => 1
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7,8] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7,8] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7,8] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4,8] => [[1,3,5,6,8],[2,4,7]] => 3
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,3,6,7,8,4] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,5,1,3,6,7,8,4] => [[1,2,5,6,7],[3,4,8]] => 2
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4,8] => [[1,3,4,6,8],[2,5,7]] => 3
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4,8] => [[1,3,4,5,8],[2,6,7]] => 2
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,6,3,7,8,4] => [[1,3,4,6,7],[2,5,8]] => 3
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,7,3,8,4] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,5,6,7,8,3,4] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4,8] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4,8] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4,8] => [[1,2,4,5,8],[3,6,7]] => 2
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4,8] => [[1,2,3,5,8],[4,6,7]] => 2
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5,1,6,3,7,8,4] => [[1,2,4,6,7],[3,5,8]] => 3
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5,6,1,3,7,8,4] => [[1,2,3,6,7],[4,5,8]] => 2
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,4] => [[1,2,4,5,7],[3,6,8]] => 3
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,4] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5,6,7,1,3,8,4] => [[1,2,3,4,7],[5,6,8]] => 2
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5,6,1,7,8,3,4] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5,6,7,1,8,3,4] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5,6,7,8,1,3,4] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,7,4,8,6] => [[1,3,5,7],[2,4,6,8]] => 4
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,7,4,8,6] => [[1,2,5,7],[3,4,6,8]] => 3
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,7,3,4,8,6] => [[1,3,4,7],[2,5,6,8]] => 3
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,7,3,4,8,6] => [[1,2,4,7],[3,5,6,8]] => 3
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,5,7,1,3,4,8,6] => [[1,2,3,7],[4,5,6,8]] => 2
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,7,8,4,6] => [[1,3,5,6],[2,4,7,8]] => 3
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,7,8,4,6] => [[1,2,5,6],[3,4,7,8]] => 2
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,7,3,8,4,6] => [[1,3,4,6],[2,5,7,8]] => 3
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,7,8,3,4,6] => [[1,3,4,5],[2,6,7,8]] => 2
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,7,8,3,4,6] => [[1,2,4,5],[3,6,7,8]] => 2
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,5,7,1,8,3,4,6] => [[1,2,3,5],[4,6,7,8]] => 2
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,5,7,8,1,3,4,6] => [[1,2,3,4],[5,6,7,8]] => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,6,3,7,4,8,5] => [[1,3,5,7],[2,4,6,8]] => 4
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,6,1,3,7,4,8,5] => [[1,2,5,7],[3,4,6,8]] => 3
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,1,6,7,3,4,8,5] => [[1,3,4,7],[2,5,6,8]] => 3
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,6,1,7,3,4,8,5] => [[1,2,4,7],[3,5,6,8]] => 3
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,6,7,1,3,4,8,5] => [[1,2,3,7],[4,5,6,8]] => 2
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,6,3,7,8,4,5] => [[1,3,5,6],[2,4,7,8]] => 3
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,6,1,3,7,8,4,5] => [[1,2,5,6],[3,4,7,8]] => 2
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,1,6,7,8,3,4,5] => [[1,3,4,5],[2,6,7,8]] => 2
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,6,1,7,3,8,4,5] => [[1,2,4,6],[3,5,7,8]] => 3
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,6,7,1,3,8,4,5] => [[1,2,3,6],[4,5,7,8]] => 2
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,6,1,7,8,3,4,5] => [[1,2,4,5],[3,6,7,8]] => 2
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,6,7,1,8,3,4,5] => [[1,2,3,5],[4,6,7,8]] => 2
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,6,7,8,1,3,4,5] => [[1,2,3,4],[5,6,7,8]] => 1
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6,8] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6,8] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,5,3,8,4,6,7] => [[1,3,5,7,8],[2,4,6]] => 3
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,5,1,3,8,4,6,7] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,8,3,4,6,7] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,5,1,8,3,4,6,7] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,5,8,1,3,4,6,7] => [[1,2,3,7,8],[4,5,6]] => 1
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5,8] => [[1,3,5,7,8],[2,4,6]] => 3
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5,8] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5,8] => [[1,2,3,7,8],[4,5,6]] => 1
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,8,4,5,7] => [[1,3,5,7,8],[2,4,6]] => 3
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,8,4,5,7] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,1,6,8,3,4,5,7] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,6,1,8,3,4,5,7] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,6,8,1,3,4,5,7] => [[1,2,3,7,8],[4,5,6]] => 1
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,7,3,8,4,5,6] => [[1,3,5,7,8],[2,4,6]] => 3
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,7,1,3,8,4,5,6] => [[1,2,5,7,8],[3,4,6]] => 2
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,1,7,8,3,4,5,6] => [[1,3,4,7,8],[2,5,6]] => 2
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,7,1,8,3,4,5,6] => [[1,2,4,7,8],[3,5,6]] => 2
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,7,8,1,3,4,5,6] => [[1,2,3,7,8],[4,5,6]] => 1
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,8,7] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5,8] => [[1,2,5,6,8],[3,4,7]] => 2
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,7,8,5] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,7,8,5] => [[1,2,5,6,7],[3,4,8]] => 2
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,8,5,7] => [[1,3,5,6,8],[2,4,7]] => 3
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,8,5,7] => [[1,2,5,6,8],[3,4,7]] => 2
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,1,7,3,4,8,5,6] => [[1,3,5,6,8],[2,4,7]] => 3
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,8,7] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,8,7] => [[1,2,5,6,7],[3,4,8]] => 2
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,7,3,4,5,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,7,1,3,4,5,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6,8] => [[1,3,5,6,7,8],[2,4]] => 2
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6,8] => [[1,2,5,6,7,8],[3,4]] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,8,3,4,5,6,7] => [[1,3,5,6,7,8],[2,4]] => 2
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,8,1,3,4,5,6,7] => [[1,2,5,6,7,8],[3,4]] => 1
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,7,8,6] => [[1,3,4,6,7],[2,5,8]] => 3
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,5,8,4,6,7] => [[1,3,4,5,8],[2,6,7]] => 2
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,5,6,8,4,7] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,5,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => 2
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,3,6,7,4,8,5] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,1,3,6,7,8,4,5] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,1,3,7,4,8,5,6] => [[1,3,4,6,8],[2,5,7]] => 3
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,1,3,7,8,4,5,6] => [[1,3,4,5,8],[2,6,7]] => 2
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7,8] => [[1,3,4,6,7,8],[2,5]] => 2
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,1,3,8,4,5,6,7] => [[1,3,4,6,7,8],[2,5]] => 2
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => 2
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => 2
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,3,4,7,5,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,1,3,4,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => 2
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6,8] => [[1,3,4,5,7,8],[2,6]] => 2
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,1,3,4,8,5,6,7] => [[1,3,4,5,7,8],[2,6]] => 2
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => 2
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => 2
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,1,3,4,5,8,6,7] => [[1,3,4,5,6,8],[2,7]] => 2
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 2
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6,8] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6,8] => [[1,2,3,4,8],[5,6,7]] => 1
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,7,8,4,6] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,7,4,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,7,1,8,4,6] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,7,8,1,4,6] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,3,5,1,4,8,6,7] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,3,5,1,8,4,6,7] => [[1,2,3,5,8],[4,6,7]] => 2
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,3,5,8,1,4,6,7] => [[1,2,3,4,8],[5,6,7]] => 1
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,5,6,8,4,7] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4,8] => [[1,2,4,5,6,8],[3,7]] => 2
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,5,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => 2
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,3,5,1,6,8,4,7] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,8,4,7] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,3,5,6,8,1,4,7] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,8,4] => [[1,2,3,5,6,7],[4,8]] => 2
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4,8] => [[1,2,3,4,5,8],[6,7]] => 1
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,3,5,6,1,7,8,4] => [[1,2,3,4,6,7],[5,8]] => 2
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,3,5,6,7,1,8,4] => [[1,2,3,4,5,7],[6,8]] => 2
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,5,6,7,8,1,4] => [[1,2,3,4,5,6],[7,8]] => 1
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5,8] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5,8] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,7,8,5] => [[1,2,3,6,7],[4,5,8]] => 2
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,3,1,6,7,8,4,5] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,3,6,1,7,8,4,5] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,1,8,4,5] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,3,6,7,8,1,4,5] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,8,5,7] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,8,5,7] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,8,4,5,7] => [[1,2,4,5,8],[3,6,7]] => 2
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,8,4,5,7] => [[1,2,3,5,8],[4,6,7]] => 2
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,7,4,8,5,6] => [[1,2,4,6,8],[3,5,7]] => 3
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,7,1,4,8,5,6] => [[1,2,3,6,8],[4,5,7]] => 2
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,1,7,8,4,5,6] => [[1,2,4,5,8],[3,6,7]] => 2
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,7,8,1,4,5,6] => [[1,2,3,4,8],[5,6,7]] => 1
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,8,7] => [[1,2,3,6,7],[4,5,8]] => 2
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,7,4,5,8,6] => [[1,2,4,6,7],[3,5,8]] => 3
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,7,1,4,5,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6,8] => [[1,2,3,6,7,8],[4,5]] => 1
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,3,1,8,4,5,6,7] => [[1,2,4,6,7,8],[3,5]] => 2
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,3,8,1,4,5,6,7] => [[1,2,3,6,7,8],[4,5]] => 1
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8] => [[1,2,4,5,6,8],[3,7]] => 2
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,8,5] => [[1,2,4,5,6,7],[3,8]] => 2
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,1,4,7,8,5,6] => [[1,2,4,5,6],[3,7,8]] => 2
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8] => [[1,2,4,5,7,8],[3,6]] => 2
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,7] => [[1,2,4,5,7,8],[3,6]] => 2
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 2
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,7,8,6] => [[1,2,4,5,6,7],[3,8]] => 2
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,5,8,6,7] => [[1,2,4,5,6,8],[3,7]] => 2
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 2
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,8,5,7] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,8,5,7] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,8,1,5,7] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 2
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5,8] => [[1,2,3,4,6,8],[5,7]] => 2
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5,8] => [[1,2,3,4,5,8],[6,7]] => 1
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,3,4,6,1,7,8,5] => [[1,2,3,4,6,7],[5,8]] => 2
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,6,7,8,1,5] => [[1,2,3,4,5,6],[7,8]] => 1
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,4,1,7,5,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,4,7,1,5,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,4,1,7,8,5,6] => [[1,2,3,5,6],[4,7,8]] => 2
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,4,7,1,8,5,6] => [[1,2,3,4,6],[5,7,8]] => 2
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,4,7,8,1,5,6] => [[1,2,3,4,5],[6,7,8]] => 1
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6,8] => [[1,2,3,5,7,8],[4,6]] => 2
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6,8] => [[1,2,3,4,7,8],[5,6]] => 1
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,3,4,1,8,5,6,7] => [[1,2,3,5,7,8],[4,6]] => 2
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,3,4,8,1,5,6,7] => [[1,2,3,4,7,8],[5,6]] => 1
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 2
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,3,4,1,5,8,6,7] => [[1,2,3,5,6,8],[4,7]] => 2
[.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 2
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6,8] => [[1,2,3,4,5,8],[6,7]] => 1
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 2
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,4,5,7,1,8,6] => [[1,2,3,4,5,7],[6,8]] => 2
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,5,7,8,1,6] => [[1,2,3,4,5,6],[7,8]] => 1
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,3,4,5,1,8,6,7] => [[1,2,3,4,6,8],[5,7]] => 2
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,3,4,5,8,1,6,7] => [[1,2,3,4,5,8],[6,7]] => 1
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,8,7] => [[1,2,3,4,6,7],[5,8]] => 2
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,8,7] => [[1,2,3,4,5,7],[6,8]] => 2
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,4,5,6,8,1,7] => [[1,2,3,4,5,6],[7,8]] => 1
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => 4
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,8,7] => [[1,2,5,7],[3,4,6,8]] => 3
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,8,7] => [[1,3,4,7],[2,5,6,8]] => 3
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,8,7] => [[1,2,4,7],[3,5,6,8]] => 3
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,8,7] => [[1,2,3,7],[4,5,6,8]] => 2
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,8,5,7] => [[1,3,5,6],[2,4,7,8]] => 3
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,8,5,7] => [[1,2,5,6],[3,4,7,8]] => 2
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,8,5,7] => [[1,3,4,6],[2,5,7,8]] => 3
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,8,2,5,7] => [[1,3,4,5],[2,6,7,8]] => 2
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,8,5,7] => [[1,2,4,6],[3,5,7,8]] => 3
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,8,2,5,7] => [[1,2,4,5],[3,6,7,8]] => 2
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,8,1,2,5,7] => [[1,2,3,4],[5,6,7,8]] => 1
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7,8] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5,8] => [[1,3,5,6,8],[2,4,7]] => 3
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,6,7,8,5] => [[1,3,5,6,7],[2,4,8]] => 3
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,7,8,5] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,6,2,7,8,5] => [[1,3,4,6,7],[2,5,8]] => 3
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,6,7,2,8,5] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,6,7,8,2,5] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5,8] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,6,2,7,8,5] => [[1,2,4,6,7],[3,5,8]] => 3
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [3,4,6,1,2,7,8,5] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,6,7,2,8,5] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,6,7,8,2,5] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [3,4,6,1,7,2,8,5] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,6,7,1,2,8,5] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [3,4,6,1,7,8,2,5] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,4,6,7,1,8,2,5] => [[1,2,3,4,6],[5,7,8]] => 2
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,6,7,8,1,2,5] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,7,5,8,6] => [[1,3,5,7],[2,4,6,8]] => 4
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,7,5,8,6] => [[1,2,5,7],[3,4,6,8]] => 3
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,7,2,5,8,6] => [[1,3,4,7],[2,5,6,8]] => 3
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,7,1,2,5,8,6] => [[1,2,3,7],[4,5,6,8]] => 2
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,7,8,5,6] => [[1,3,5,6],[2,4,7,8]] => 3
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,6] => [[1,2,5,6],[3,4,7,8]] => 2
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,7,1,8,2,5,6] => [[1,2,3,5],[4,6,7,8]] => 2
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,7,8,1,2,5,6] => [[1,2,3,4],[5,6,7,8]] => 1
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6,8] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,4,2,8,5,6,7] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,8,5,6,7] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,4,8,2,5,6,7] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,4,1,8,2,5,6,7] => [[1,2,4,7,8],[3,5,6]] => 2
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,4,8,1,2,5,6,7] => [[1,2,3,7,8],[4,5,6]] => 1
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,7,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,7,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,8,6,7] => [[1,3,5,6,8],[2,4,7]] => 3
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,5,8,6,7] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,8,7] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6,8] => [[1,3,4,6,8],[2,5,7]] => 3
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,7,8,6] => [[1,3,4,6,7],[2,5,8]] => 3
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,4,5,7,2,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,4,5,7,8,2,6] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,4,5,8,2,6,7] => [[1,3,4,5,8],[2,6,7]] => 2
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [3,1,4,5,6,8,2,7] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,4,5,6,7,8,2] => [[1,3,4,5,6,7],[2,8]] => 2
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,7,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [3,4,1,5,7,2,8,6] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,5,7,8,2,6] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [3,4,5,1,7,8,2,6] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,7,1,8,2,6] => [[1,2,3,4,6],[5,7,8]] => 2
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,7,8,1,2,6] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [3,4,1,5,2,8,6,7] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,4,5,1,2,8,6,7] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,4,1,5,8,2,6,7] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,8,1,2,6,7] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,8,7] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [3,4,1,5,6,8,2,7] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1,5,6,7,8,2] => [[1,2,4,5,6,7],[3,8]] => 2
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,4,5,6,1,8,2,7] => [[1,2,3,4,6],[5,7,8]] => 2
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,6,8,1,2,7] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [3,4,5,1,6,7,8,2] => [[1,2,3,5,6,7],[4,8]] => 2
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,4,5,6,1,7,8,2] => [[1,2,3,4,6,7],[5,8]] => 2
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,4,5,6,7,1,8,2] => [[1,2,3,4,5,7],[6,8]] => 2
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2] => [[1,2,3,4,5,6],[7,8]] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,8,7] => [[1,3,5,7],[2,4,6,8]] => 4
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,8,7] => [[1,2,5,7],[3,4,6,8]] => 3
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,8,7] => [[1,3,4,7],[2,5,6,8]] => 3
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,8,7] => [[1,2,4,7],[3,5,6,8]] => 3
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,8,7] => [[1,2,3,7],[4,5,6,8]] => 2
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,8,4,7] => [[1,3,5,6],[2,4,7,8]] => 3
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,8,4,7] => [[1,2,5,6],[3,4,7,8]] => 2
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,8,4,7] => [[1,3,4,6],[2,5,7,8]] => 3
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,5,6,8,2,4,7] => [[1,3,4,5],[2,6,7,8]] => 2
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,8,4,7] => [[1,2,3,6],[4,5,7,8]] => 2
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,5,1,6,8,2,4,7] => [[1,2,4,5],[3,6,7,8]] => 2
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,5,6,1,8,2,4,7] => [[1,2,3,5],[4,6,7,8]] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,5,6,8,1,2,4,7] => [[1,2,3,4],[5,6,7,8]] => 1
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7,8] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7,8] => [[1,2,4,7,8],[3,5,6]] => 2
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,5,2,6,7,8,4] => [[1,3,5,6,7],[2,4,8]] => 3
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,5,1,2,6,7,8,4] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,5,6,2,7,8,4] => [[1,3,4,6,7],[2,5,8]] => 3
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,5,6,7,2,8,4] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,5,6,7,8,2,4] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4,8] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4,8] => [[1,2,3,5,8],[4,6,7]] => 2
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5,1,6,2,7,8,4] => [[1,2,4,6,7],[3,5,8]] => 3
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5,6,1,2,7,8,4] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5,1,6,7,2,8,4] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5,1,6,7,8,2,4] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5,6,1,7,2,8,4] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5,6,7,1,2,8,4] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5,6,1,7,8,2,4] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5,6,7,1,8,2,4] => [[1,2,3,4,6],[5,7,8]] => 2
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5,6,7,8,1,2,4] => [[1,2,3,4,5],[6,7,8]] => 1
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7] => [[1,3,5,7],[2,4,6,8]] => 4
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,8,7] => [[1,2,5,7],[3,4,6,8]] => 3
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,8,7] => [[1,3,4,7],[2,5,6,8]] => 3
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,8,7] => [[1,2,4,7],[3,5,6,8]] => 3
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,8,7] => [[1,2,3,7],[4,5,6,8]] => 2
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,8,3,7] => [[1,3,5,6],[2,4,7,8]] => 3
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,8,3,7] => [[1,2,5,6],[3,4,7,8]] => 2
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,8,3,7] => [[1,3,4,6],[2,5,7,8]] => 3
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [4,1,5,6,8,2,3,7] => [[1,3,4,5],[2,6,7,8]] => 2
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,8,3,7] => [[1,2,4,6],[3,5,7,8]] => 3
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,8,3,7] => [[1,2,3,6],[4,5,7,8]] => 2
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [4,5,1,6,8,2,3,7] => [[1,2,4,5],[3,6,7,8]] => 2
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [4,5,6,1,8,2,3,7] => [[1,2,3,5],[4,6,7,8]] => 2
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,8,1,2,3,7] => [[1,2,3,4],[5,6,7,8]] => 1
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7,8] => [[1,3,4,7,8],[2,5,6]] => 2
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7,8] => [[1,2,4,7,8],[3,5,6]] => 2
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,6,7,8,3] => [[1,3,5,6,7],[2,4,8]] => 3
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,6,7,8,3] => [[1,2,5,6,7],[3,4,8]] => 2
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3,8] => [[1,3,4,5,8],[2,6,7]] => 2
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [4,1,5,6,7,2,8,3] => [[1,3,4,5,7],[2,6,8]] => 3
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,1,5,6,7,8,2,3] => [[1,3,4,5,6],[2,7,8]] => 2
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3,8] => [[1,2,3,6,8],[4,5,7]] => 2
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3,8] => [[1,2,3,5,8],[4,6,7]] => 2
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [4,5,1,6,2,7,8,3] => [[1,2,4,6,7],[3,5,8]] => 3
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [4,5,6,1,2,7,8,3] => [[1,2,3,6,7],[4,5,8]] => 2
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [4,5,1,6,7,2,8,3] => [[1,2,4,5,7],[3,6,8]] => 3
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,5,1,6,7,8,2,3] => [[1,2,4,5,6],[3,7,8]] => 2
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5,6,1,7,2,8,3] => [[1,2,3,5,7],[4,6,8]] => 3
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [4,5,6,7,1,2,8,3] => [[1,2,3,4,7],[5,6,8]] => 2
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [4,5,6,1,7,8,2,3] => [[1,2,3,5,6],[4,7,8]] => 2
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5,6,7,1,8,2,3] => [[1,2,3,4,6],[5,7,8]] => 2
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,1,2,3] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,7,4,8,6] => [[1,3,5,7],[2,4,6,8]] => 4
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,7,4,8,6] => [[1,2,5,7],[3,4,6,8]] => 3
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,7,2,4,8,6] => [[1,3,4,7],[2,5,6,8]] => 3
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,7,2,4,8,6] => [[1,2,4,7],[3,5,6,8]] => 3
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,7,1,2,4,8,6] => [[1,2,3,7],[4,5,6,8]] => 2
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,7,8,4,6] => [[1,3,5,6],[2,4,7,8]] => 3
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,7,8,4,6] => [[1,2,5,6],[3,4,7,8]] => 2
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,7,2,8,4,6] => [[1,3,4,6],[2,5,7,8]] => 3
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,7,8,2,4,6] => [[1,3,4,5],[2,6,7,8]] => 2
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,7,2,8,4,6] => [[1,2,4,6],[3,5,7,8]] => 3
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,7,8,2,4,6] => [[1,2,4,5],[3,6,7,8]] => 2
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,7,8,1,2,4,6] => [[1,2,3,4],[5,6,7,8]] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,6,2,7,4,8,5] => [[1,3,5,7],[2,4,6,8]] => 4
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,6,1,2,7,4,8,5] => [[1,2,5,7],[3,4,6,8]] => 3
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,6,1,7,2,4,8,5] => [[1,2,4,7],[3,5,6,8]] => 3
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,6,7,1,2,4,8,5] => [[1,2,3,7],[4,5,6,8]] => 2
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,6,1,2,7,8,4,5] => [[1,2,5,6],[3,4,7,8]] => 2
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,6,7,2,8,4,5] => [[1,3,4,6],[2,5,7,8]] => 3
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,6,1,7,2,8,4,5] => [[1,2,4,6],[3,5,7,8]] => 3
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,8,4,5] => [[1,2,3,6],[4,5,7,8]] => 2
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,6,1,7,8,2,4,5] => [[1,2,4,5],[3,6,7,8]] => 2
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,6,7,8,1,2,4,5] => [[1,2,3,4],[5,6,7,8]] => 1
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,7,3,8,6] => [[1,3,5,7],[2,4,6,8]] => 4
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,5,1,7,2,3,8,6] => [[1,2,4,7],[3,5,6,8]] => 3
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,7,8,3,6] => [[1,3,5,6],[2,4,7,8]] => 3
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,7,8,3,6] => [[1,2,5,6],[3,4,7,8]] => 2
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,1,5,7,2,8,3,6] => [[1,3,4,6],[2,5,7,8]] => 3
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,5,1,7,2,8,3,6] => [[1,2,4,6],[3,5,7,8]] => 3
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [4,5,7,1,2,8,3,6] => [[1,2,3,6],[4,5,7,8]] => 2
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,5,1,7,8,2,3,6] => [[1,2,4,5],[3,6,7,8]] => 2
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,5,7,8,1,2,3,6] => [[1,2,3,4],[5,6,7,8]] => 1
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,6,2,7,3,8,5] => [[1,3,5,7],[2,4,6,8]] => 4
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,6,7,2,3,8,5] => [[1,3,4,7],[2,5,6,8]] => 3
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,6,7,1,2,3,8,5] => [[1,2,3,7],[4,5,6,8]] => 2
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,6,1,2,7,8,3,5] => [[1,2,5,6],[3,4,7,8]] => 2
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,6,7,8,2,3,5] => [[1,3,4,5],[2,6,7,8]] => 2
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,6,1,7,2,8,3,5] => [[1,2,4,6],[3,5,7,8]] => 3
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,6,7,1,2,8,3,5] => [[1,2,3,6],[4,5,7,8]] => 2
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,6,1,7,8,2,3,5] => [[1,2,4,5],[3,6,7,8]] => 2
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,6,7,1,8,2,3,5] => [[1,2,3,5],[4,6,7,8]] => 2
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,6,7,8,1,2,3,5] => [[1,2,3,4],[5,6,7,8]] => 1
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4] => [[1,3,5,7],[2,4,6,8]] => 4
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [5,6,1,2,7,3,8,4] => [[1,2,5,7],[3,4,6,8]] => 3
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,6,7,2,3,8,4] => [[1,3,4,7],[2,5,6,8]] => 3
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [5,6,1,7,2,3,8,4] => [[1,2,4,7],[3,5,6,8]] => 3
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [5,6,7,1,2,3,8,4] => [[1,2,3,7],[4,5,6,8]] => 2
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,6,1,2,7,8,3,4] => [[1,2,5,6],[3,4,7,8]] => 2
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [5,1,6,7,2,8,3,4] => [[1,3,4,6],[2,5,7,8]] => 3
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,1,6,7,8,2,3,4] => [[1,3,4,5],[2,6,7,8]] => 2
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [5,6,7,1,2,8,3,4] => [[1,2,3,6],[4,5,7,8]] => 2
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [5,6,1,7,8,2,3,4] => [[1,2,4,5],[3,6,7,8]] => 2
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [5,6,7,1,8,2,3,4] => [[1,2,3,5],[4,6,7,8]] => 2
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6,8] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6,8] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6,8] => [[1,2,4,7,8],[3,5,6]] => 2
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,5,2,8,4,6,7] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,5,1,2,8,4,6,7] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,5,8,2,4,6,7] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,5,1,8,2,4,6,7] => [[1,2,4,7,8],[3,5,6]] => 2
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5,8] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,8,4,5,7] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,8,4,5,7] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,6,8,2,4,5,7] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,6,1,8,2,4,5,7] => [[1,2,4,7,8],[3,5,6]] => 2
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,6,8,1,2,4,5,7] => [[1,2,3,7,8],[4,5,6]] => 1
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [3,1,7,2,8,4,5,6] => [[1,3,5,7,8],[2,4,6]] => 3
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [3,7,1,2,8,4,5,6] => [[1,2,5,7,8],[3,4,6]] => 2
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [3,1,7,8,2,4,5,6] => [[1,3,4,7,8],[2,5,6]] => 2
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,7,1,8,2,4,5,6] => [[1,2,4,7,8],[3,5,6]] => 2
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,7,8,1,2,4,5,6] => [[1,2,3,7,8],[4,5,6]] => 1
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6,8] => [[1,2,5,7,8],[3,4,6]] => 2
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,8,3,6,7] => [[1,3,5,7,8],[2,4,6]] => 3
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,8,3,6,7] => [[1,2,5,7,8],[3,4,6]] => 2
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,8,2,3,6,7] => [[1,2,4,7,8],[3,5,6]] => 2
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [4,5,8,1,2,3,6,7] => [[1,2,3,7,8],[4,5,6]] => 1
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5,8] => [[1,2,5,7,8],[3,4,6]] => 2
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5,8] => [[1,3,4,7,8],[2,5,6]] => 2
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5,8] => [[1,2,4,7,8],[3,5,6]] => 2
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4,8] => [[1,2,4,7,8],[3,5,6]] => 2
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,8,3,5,7] => [[1,3,5,7,8],[2,4,6]] => 3
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,8,3,5,7] => [[1,2,5,7,8],[3,4,6]] => 2
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,8,2,3,5,7] => [[1,3,4,7,8],[2,5,6]] => 2
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,8,2,3,5,7] => [[1,2,4,7,8],[3,5,6]] => 2
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,8,1,2,3,5,7] => [[1,2,3,7,8],[4,5,6]] => 1
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,7,2,8,3,5,6] => [[1,3,5,7,8],[2,4,6]] => 3
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [4,7,1,2,8,3,5,6] => [[1,2,5,7,8],[3,4,6]] => 2
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [4,1,7,8,2,3,5,6] => [[1,3,4,7,8],[2,5,6]] => 2
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [4,7,1,8,2,3,5,6] => [[1,2,4,7,8],[3,5,6]] => 2
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [4,7,8,1,2,3,5,6] => [[1,2,3,7,8],[4,5,6]] => 1
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,6,2,8,3,4,7] => [[1,3,5,7,8],[2,4,6]] => 3
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,6,1,2,8,3,4,7] => [[1,2,5,7,8],[3,4,6]] => 2
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,6,1,8,2,3,4,7] => [[1,2,4,7,8],[3,5,6]] => 2
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,6,8,1,2,3,4,7] => [[1,2,3,7,8],[4,5,6]] => 1
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,7,2,8,3,4,6] => [[1,3,5,7,8],[2,4,6]] => 3
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,7,1,2,8,3,4,6] => [[1,2,5,7,8],[3,4,6]] => 2
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,1,7,8,2,3,4,6] => [[1,3,4,7,8],[2,5,6]] => 2
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,7,1,8,2,3,4,6] => [[1,2,4,7,8],[3,5,6]] => 2
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,7,8,1,2,3,4,6] => [[1,2,3,7,8],[4,5,6]] => 1
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,7,2,8,3,4,5] => [[1,3,5,7,8],[2,4,6]] => 3
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [6,7,1,2,8,3,4,5] => [[1,2,5,7,8],[3,4,6]] => 2
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [6,1,7,8,2,3,4,5] => [[1,3,4,7,8],[2,5,6]] => 2
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [6,7,1,8,2,3,4,5] => [[1,2,4,7,8],[3,5,6]] => 2
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,7,8,1,2,3,4,5] => [[1,2,3,7,8],[4,5,6]] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6,8] => [[1,3,5,6,8],[2,4,7]] => 3
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,7,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,4,8,6,7] => [[1,3,5,6,8],[2,4,7]] => 3
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,5,1,2,4,8,6,7] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,8,7] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5,8] => [[1,3,5,6,8],[2,4,7]] => 3
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,7,8,5] => [[1,3,5,6,7],[2,4,8]] => 3
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,7,8,5] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,8,5,7] => [[1,3,5,6,8],[2,4,7]] => 3
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,8,5,7] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [3,7,1,2,4,8,5,6] => [[1,2,5,6,8],[3,4,7]] => 2
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,8,7] => [[1,3,5,6,7],[2,4,8]] => 3
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,8,7] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [3,1,7,2,4,5,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,7,1,2,4,5,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [3,1,8,2,4,5,6,7] => [[1,3,5,6,7,8],[2,4]] => 2
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [3,8,1,2,4,5,6,7] => [[1,2,5,6,7,8],[3,4]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6,8] => [[1,3,5,6,8],[2,4,7]] => 3
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,7,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,8,6,7] => [[1,3,5,6,8],[2,4,7]] => 3
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,8,6,7] => [[1,2,5,6,8],[3,4,7]] => 2
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5,8] => [[1,3,5,6,8],[2,4,7]] => 3
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5,8] => [[1,2,5,6,8],[3,4,7]] => 2
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,6,2,3,7,8,5] => [[1,3,5,6,7],[2,4,8]] => 3
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4,8] => [[1,3,5,6,8],[2,4,7]] => 3
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [5,1,6,2,3,7,8,4] => [[1,3,5,6,7],[2,4,8]] => 3
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [5,6,1,2,3,7,8,4] => [[1,2,5,6,7],[3,4,8]] => 2
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,8,5,7] => [[1,3,5,6,8],[2,4,7]] => 3
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,8,5,7] => [[1,2,5,6,8],[3,4,7]] => 2
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,7,2,3,8,5,6] => [[1,3,5,6,8],[2,4,7]] => 3
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [4,7,1,2,3,8,5,6] => [[1,2,5,6,8],[3,4,7]] => 2
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,8,4,7] => [[1,3,5,6,8],[2,4,7]] => 3
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,8,4,7] => [[1,2,5,6,8],[3,4,7]] => 2
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [5,1,7,2,3,8,4,6] => [[1,3,5,6,8],[2,4,7]] => 3
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [5,7,1,2,3,8,4,6] => [[1,2,5,6,8],[3,4,7]] => 2
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,7,2,3,8,4,5] => [[1,3,5,6,8],[2,4,7]] => 3
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,7,1,2,3,8,4,5] => [[1,2,5,6,8],[3,4,7]] => 2
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,8,7] => [[1,3,5,6,7],[2,4,8]] => 3
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,8,7] => [[1,2,5,6,7],[3,4,8]] => 2
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,7,2,3,5,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [4,7,1,2,3,5,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [4,1,8,2,3,5,6,7] => [[1,3,5,6,7,8],[2,4]] => 2
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [4,8,1,2,3,5,6,7] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,8,7] => [[1,3,5,6,7],[2,4,8]] => 3
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,8,7] => [[1,2,5,6,7],[3,4,8]] => 2
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [5,1,7,2,3,4,8,6] => [[1,3,5,6,7],[2,4,8]] => 3
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [5,7,1,2,3,4,8,6] => [[1,2,5,6,7],[3,4,8]] => 2
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,1,7,2,3,4,8,5] => [[1,3,5,6,7],[2,4,8]] => 3
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,7,1,2,3,4,8,5] => [[1,2,5,6,7],[3,4,8]] => 2
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [5,1,8,2,3,4,6,7] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [5,8,1,2,3,4,6,7] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,8,2,3,4,5,7] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,8,1,2,3,4,5,7] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [7,1,8,2,3,4,5,6] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,8,1,2,3,4,5,6] => [[1,2,5,6,7,8],[3,4]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6,8] => [[1,3,4,6,8],[2,5,7]] => 3
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6,8] => [[1,3,4,5,8],[2,6,7]] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,7,4,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,5,8,4,6,7] => [[1,3,4,5,8],[2,6,7]] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,5,6,8,4,7] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,5,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5,8] => [[1,3,4,6,8],[2,5,7]] => 3
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,7,8,5] => [[1,3,4,6,7],[2,5,8]] => 3
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,2,6,7,4,8,5] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,2,6,7,8,4,5] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,8,4,5,7] => [[1,3,4,5,8],[2,6,7]] => 2
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [3,1,2,7,4,8,5,6] => [[1,3,4,6,8],[2,5,7]] => 3
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [3,1,2,7,8,4,5,6] => [[1,3,4,5,8],[2,6,7]] => 2
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [3,1,2,8,4,5,6,7] => [[1,3,4,6,7,8],[2,5]] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,8,5,7] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => 2
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [3,1,2,4,7,5,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [3,1,2,4,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,8,5,6,7] => [[1,3,4,5,7,8],[2,6]] => 2
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => 2
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [3,1,2,4,5,8,6,7] => [[1,3,4,5,6,8],[2,7]] => 2
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 2
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6,8] => [[1,3,4,6,8],[2,5,7]] => 3
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6,8] => [[1,3,4,5,8],[2,6,7]] => 2
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,7,8,6] => [[1,3,4,6,7],[2,5,8]] => 3
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,7,3,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,7,8,3,6] => [[1,3,4,5,6],[2,7,8]] => 2
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,8,6,7] => [[1,3,4,6,8],[2,5,7]] => 3
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,8,3,6,7] => [[1,3,4,5,8],[2,6,7]] => 2
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,5,6,8,3,7] => [[1,3,4,5,6],[2,7,8]] => 2
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [4,1,2,5,6,7,8,3] => [[1,3,4,5,6,7],[2,8]] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5,8] => [[1,3,4,6,8],[2,5,7]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5,8] => [[1,3,4,5,8],[2,6,7]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,6,3,7,8,5] => [[1,3,4,6,7],[2,5,8]] => 3
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,6,7,3,8,5] => [[1,3,4,5,7],[2,6,8]] => 3
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4,8] => [[1,3,4,6,8],[2,5,7]] => 3
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4,8] => [[1,3,4,5,8],[2,6,7]] => 2
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [5,1,2,6,3,7,8,4] => [[1,3,4,6,7],[2,5,8]] => 3
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [5,1,2,6,7,3,8,4] => [[1,3,4,5,7],[2,6,8]] => 3
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [5,1,2,6,7,8,3,4] => [[1,3,4,5,6],[2,7,8]] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,8,5,7] => [[1,3,4,6,8],[2,5,7]] => 3
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,7,8,3,5,6] => [[1,3,4,5,8],[2,6,7]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,8,4,7] => [[1,3,4,6,8],[2,5,7]] => 3
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [5,1,2,6,8,3,4,7] => [[1,3,4,5,8],[2,6,7]] => 2
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,7,3,8,4,6] => [[1,3,4,6,8],[2,5,7]] => 3
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,7,8,3,4,6] => [[1,3,4,5,8],[2,6,7]] => 2
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [6,1,2,7,3,8,4,5] => [[1,3,4,6,8],[2,5,7]] => 3
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [6,1,2,7,8,3,4,5] => [[1,3,4,5,8],[2,6,7]] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,2,7,3,5,8,6] => [[1,3,4,6,7],[2,5,8]] => 3
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [4,1,2,8,3,5,6,7] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,8,7] => [[1,3,4,6,7],[2,5,8]] => 3
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,7,3,4,8,6] => [[1,3,4,6,7],[2,5,8]] => 3
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [6,1,2,7,3,4,8,5] => [[1,3,4,6,7],[2,5,8]] => 3
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,8,3,4,6,7] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [6,1,2,8,3,4,5,7] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,1,2,8,3,4,5,6] => [[1,3,4,6,7,8],[2,5]] => 2
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => 3
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,8,5,7] => [[1,3,4,5,6],[2,7,8]] => 2
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => 2
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,2,3,7,5,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,3,7,8,5,6] => [[1,3,4,5,6],[2,7,8]] => 2
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [4,1,2,3,8,5,6,7] => [[1,3,4,5,7,8],[2,6]] => 2
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => 2
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [4,1,2,3,5,8,6,7] => [[1,3,4,5,6,8],[2,7]] => 2
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 2
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,8,4,7] => [[1,3,4,5,6],[2,7,8]] => 2
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => 2
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,7,4,8,6] => [[1,3,4,5,7],[2,6,8]] => 3
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,7,8,4,6] => [[1,3,4,5,6],[2,7,8]] => 2
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [6,1,2,3,7,4,8,5] => [[1,3,4,5,7],[2,6,8]] => 3
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [6,1,2,3,7,8,4,5] => [[1,3,4,5,6],[2,7,8]] => 2
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,3,8,4,6,7] => [[1,3,4,5,7,8],[2,6]] => 2
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,8,4,5,7] => [[1,3,4,5,7,8],[2,6]] => 2
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,1,2,3,8,4,5,6] => [[1,3,4,5,7,8],[2,6]] => 2
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,8,6] => [[1,3,4,5,6,7],[2,8]] => 2
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [5,1,2,3,4,8,6,7] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 2
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,8,5] => [[1,3,4,5,6,7],[2,8]] => 2
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,8,5,7] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,1,2,3,4,8,5,6] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,8,7] => [[1,3,4,5,6,7],[2,8]] => 2
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,1,2,3,4,5,8,6] => [[1,3,4,5,6,7],[2,8]] => 2
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7] => [[1,3,4,5,6,7,8],[2]] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6,8] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6,8] => [[1,2,3,5,8],[4,6,7]] => 2
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,7,8,6] => [[1,2,4,6,7],[3,5,8]] => 3
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,7,8,4,6] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,7,4,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,7,8,4,6] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,7,2,8,4,6] => [[1,2,3,4,6],[5,7,8]] => 2
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,7,8,2,4,6] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,5,4,8,6,7] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,5,2,4,8,6,7] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,5,8,4,6,7] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,5,2,8,4,6,7] => [[1,2,3,5,8],[4,6,7]] => 2
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,5,8,2,4,6,7] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,8,7] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,5,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => 2
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,5,2,6,8,4,7] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,5,6,2,8,4,7] => [[1,2,3,4,6],[5,7,8]] => 2
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,5,6,8,2,4,7] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,5,6,2,7,8,4] => [[1,2,3,4,6,7],[5,8]] => 2
[[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,5,6,7,2,8,4] => [[1,2,3,4,5,7],[6,8]] => 2
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5,6,7,8,2,4] => [[1,2,3,4,5,6],[7,8]] => 1
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5,8] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5,8] => [[1,2,3,5,8],[4,6,7]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,7,8,5] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,6,7,4,8,5] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,2,6,7,8,4,5] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,6,2,7,4,8,5] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,6,2,7,8,4,5] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,6,7,8,2,4,5] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,8,5,7] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,8,5,7] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,8,4,5,7] => [[1,2,4,5,8],[3,6,7]] => 2
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,3,2,7,4,8,5,6] => [[1,2,4,6,8],[3,5,7]] => 3
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,3,7,2,4,8,5,6] => [[1,2,3,6,8],[4,5,7]] => 2
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,3,7,2,8,4,5,6] => [[1,2,3,5,8],[4,6,7]] => 2
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,3,7,8,2,4,5,6] => [[1,2,3,4,8],[5,6,7]] => 1
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,8,7] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,3,7,2,4,5,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,3,2,8,4,5,6,7] => [[1,2,4,6,7,8],[3,5]] => 2
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,3,8,2,4,5,6,7] => [[1,2,3,6,7,8],[4,5]] => 1
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,8,5,7] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,6,7,8,5] => [[1,2,4,5,6,7],[3,8]] => 2
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,3,2,4,7,5,8,6] => [[1,2,4,5,7],[3,6,8]] => 3
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,3,2,4,7,8,5,6] => [[1,2,4,5,6],[3,7,8]] => 2
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,3,2,4,8,5,6,7] => [[1,2,4,5,7,8],[3,6]] => 2
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,7,8,6] => [[1,2,4,5,6,7],[3,8]] => 2
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,3,2,4,5,8,6,7] => [[1,2,4,5,6,8],[3,7]] => 2
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 2
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,8,2,5,7] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 2
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,4,6,7,2,8,5] => [[1,2,3,4,5,7],[6,8]] => 2
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,3,4,2,7,5,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,3,4,2,7,8,5,6] => [[1,2,3,5,6],[4,7,8]] => 2
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,3,4,7,8,2,5,6] => [[1,2,3,4,5],[6,7,8]] => 1
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,3,4,2,8,5,6,7] => [[1,2,3,5,7,8],[4,6]] => 2
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,3,4,8,2,5,6,7] => [[1,2,3,4,7,8],[5,6]] => 1
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 2
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,3,4,2,5,8,6,7] => [[1,2,3,5,6,8],[4,7]] => 2
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 2
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 2
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,3,4,5,7,8,2,6] => [[1,2,3,4,5,6],[7,8]] => 1
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,3,4,5,2,8,6,7] => [[1,2,3,4,6,8],[5,7]] => 2
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,3,4,5,8,2,6,7] => [[1,2,3,4,5,8],[6,7]] => 1
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,8,7] => [[1,2,3,4,5,7],[6,8]] => 2
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,3,4,5,6,8,2,7] => [[1,2,3,4,5,6],[7,8]] => 1
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,4,5,6,7,8,2] => [[1,2,3,4,5,6,7],[8]] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6,8] => [[1,2,3,6,8],[4,5,7]] => 2
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6,8] => [[1,2,3,5,8],[4,6,7]] => 2
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,7,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,7,3,8,6] => [[1,2,4,5,7],[3,6,8]] => 3
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,7,8,3,6] => [[1,2,4,5,6],[3,7,8]] => 2
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,7,3,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,4,5,7,2,3,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,7,8,3,6] => [[1,2,3,5,6],[4,7,8]] => 2
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,4,5,7,8,2,3,6] => [[1,2,3,4,5],[6,7,8]] => 1
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,8,6,7] => [[1,2,4,6,8],[3,5,7]] => 3
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,8,6,7] => [[1,2,3,6,8],[4,5,7]] => 2
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,8,3,6,7] => [[1,2,4,5,8],[3,6,7]] => 2
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,8,3,6,7] => [[1,2,3,5,8],[4,6,7]] => 2
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,8,7] => [[1,2,4,6,7],[3,5,8]] => 3
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,5,6,8,3,7] => [[1,2,4,5,6],[3,7,8]] => 2
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,4,2,5,6,7,8,3] => [[1,2,4,5,6,7],[3,8]] => 2
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,4,5,2,6,8,3,7] => [[1,2,3,5,6],[4,7,8]] => 2
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,4,5,6,8,2,3,7] => [[1,2,3,4,5],[6,7,8]] => 1
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,4,5,2,6,7,8,3] => [[1,2,3,5,6,7],[4,8]] => 2
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,4,5,6,2,7,8,3] => [[1,2,3,4,6,7],[5,8]] => 2
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,4,5,6,7,2,8,3] => [[1,2,3,4,5,7],[6,8]] => 2
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,4,5,6,7,8,2,3] => [[1,2,3,4,5,6],[7,8]] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5,8] => [[1,2,3,5,8],[4,6,7]] => 2
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,6,2,3,7,8,5] => [[1,2,3,6,7],[4,5,8]] => 2
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,6,7,8,3,5] => [[1,2,4,5,6],[3,7,8]] => 2
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,2,7,3,8,5] => [[1,2,3,5,7],[4,6,8]] => 3
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,6,2,7,8,3,5] => [[1,2,3,5,6],[4,7,8]] => 2
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,6,7,2,8,3,5] => [[1,2,3,4,6],[5,7,8]] => 2
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,6,7,8,2,3,5] => [[1,2,3,4,5],[6,7,8]] => 1
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4,8] => [[1,2,4,5,8],[3,6,7]] => 2
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,5,2,6,3,7,8,4] => [[1,2,4,6,7],[3,5,8]] => 3
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,5,6,2,3,7,8,4] => [[1,2,3,6,7],[4,5,8]] => 2
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,5,2,6,7,8,3,4] => [[1,2,4,5,6],[3,7,8]] => 2
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,5,6,7,2,3,8,4] => [[1,2,3,4,7],[5,6,8]] => 2
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,5,6,2,7,8,3,4] => [[1,2,3,5,6],[4,7,8]] => 2
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,5,6,7,2,8,3,4] => [[1,2,3,4,6],[5,7,8]] => 2
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,5,6,7,8,2,3,4] => [[1,2,3,4,5],[6,7,8]] => 1
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,8,5,7] => [[1,2,4,6,8],[3,5,7]] => 3
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,8,5,7] => [[1,2,3,6,8],[4,5,7]] => 2
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,8,3,5,7] => [[1,2,4,5,8],[3,6,7]] => 2
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,8,3,5,7] => [[1,2,3,5,8],[4,6,7]] => 2
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,8,2,3,5,7] => [[1,2,3,4,8],[5,6,7]] => 1
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,2,7,3,8,5,6] => [[1,2,4,6,8],[3,5,7]] => 3
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,7,2,3,8,5,6] => [[1,2,3,6,8],[4,5,7]] => 2
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,7,8,3,5,6] => [[1,2,4,5,8],[3,6,7]] => 2
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,7,2,8,3,5,6] => [[1,2,3,5,8],[4,6,7]] => 2
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,7,8,2,3,5,6] => [[1,2,3,4,8],[5,6,7]] => 1
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,8,4,7] => [[1,2,4,6,8],[3,5,7]] => 3
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,8,4,7] => [[1,2,3,6,8],[4,5,7]] => 2
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,8,3,4,7] => [[1,2,4,5,8],[3,6,7]] => 2
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,5,6,2,8,3,4,7] => [[1,2,3,5,8],[4,6,7]] => 2
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,5,6,8,2,3,4,7] => [[1,2,3,4,8],[5,6,7]] => 1
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,7,3,8,4,6] => [[1,2,4,6,8],[3,5,7]] => 3
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,5,7,2,3,8,4,6] => [[1,2,3,6,8],[4,5,7]] => 2
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,7,8,3,4,6] => [[1,2,4,5,8],[3,6,7]] => 2
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,5,7,2,8,3,4,6] => [[1,2,3,5,8],[4,6,7]] => 2
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,5,7,8,2,3,4,6] => [[1,2,3,4,8],[5,6,7]] => 1
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,6,2,7,3,8,4,5] => [[1,2,4,6,8],[3,5,7]] => 3
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,6,7,2,3,8,4,5] => [[1,2,3,6,8],[4,5,7]] => 2
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,6,2,7,8,3,4,5] => [[1,2,4,5,8],[3,6,7]] => 2
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,6,7,2,8,3,4,5] => [[1,2,3,5,8],[4,6,7]] => 2
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,6,7,8,2,3,4,5] => [[1,2,3,4,8],[5,6,7]] => 1
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,8,7] => [[1,2,4,6,7],[3,5,8]] => 3
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,8,7] => [[1,2,3,6,7],[4,5,8]] => 2
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,2,7,3,5,8,6] => [[1,2,4,6,7],[3,5,8]] => 3
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,7,2,3,5,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,4,2,8,3,5,6,7] => [[1,2,4,6,7,8],[3,5]] => 2
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,4,8,2,3,5,6,7] => [[1,2,3,6,7,8],[4,5]] => 1
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,8,7] => [[1,2,4,6,7],[3,5,8]] => 3
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,8,7] => [[1,2,3,6,7],[4,5,8]] => 2
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,7,3,4,8,6] => [[1,2,4,6,7],[3,5,8]] => 3
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,5,7,2,3,4,8,6] => [[1,2,3,6,7],[4,5,8]] => 2
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,6,2,7,3,4,8,5] => [[1,2,4,6,7],[3,5,8]] => 3
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,6,7,2,3,4,8,5] => [[1,2,3,6,7],[4,5,8]] => 2
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,5,2,8,3,4,6,7] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,5,8,2,3,4,6,7] => [[1,2,3,6,7,8],[4,5]] => 1
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,6,2,8,3,4,5,7] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,6,8,2,3,4,5,7] => [[1,2,3,6,7,8],[4,5]] => 1
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,7,2,8,3,4,5,6] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,7,8,2,3,4,5,6] => [[1,2,3,6,7,8],[4,5]] => 1
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,6,7,8,5] => [[1,2,4,5,6,7],[3,8]] => 2
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,2,3,7,5,8,6] => [[1,2,4,5,7],[3,6,8]] => 3
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,3,7,8,5,6] => [[1,2,4,5,6],[3,7,8]] => 2
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,4,2,3,8,5,6,7] => [[1,2,4,5,7,8],[3,6]] => 2
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,7,8,6] => [[1,2,4,5,6,7],[3,8]] => 2
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,4,2,3,5,8,6,7] => [[1,2,4,5,6,8],[3,7]] => 2
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 2
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,8,7] => [[1,2,4,5,7],[3,6,8]] => 3
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,8,4,7] => [[1,2,4,5,6],[3,7,8]] => 2
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,5,2,3,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => 2
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,7,4,8,6] => [[1,2,4,5,7],[3,6,8]] => 3
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,8,4,6] => [[1,2,4,5,6],[3,7,8]] => 2
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,6,2,3,7,4,8,5] => [[1,2,4,5,7],[3,6,8]] => 3
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,6,2,3,7,8,4,5] => [[1,2,4,5,6],[3,7,8]] => 2
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,5,2,3,8,4,6,7] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,8,4,5,7] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,7,2,3,8,4,5,6] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,7,8,6] => [[1,2,4,5,6,7],[3,8]] => 2
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,5,2,3,4,8,6,7] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 2
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,8,5] => [[1,2,4,5,6,7],[3,8]] => 2
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,8,5,7] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,7,2,3,4,8,5,6] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,8,7] => [[1,2,4,5,6,7],[3,8]] => 2
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6] => [[1,2,4,5,6,7],[3,8]] => 2
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,8,2,3,4,5,6,7] => [[1,2,4,5,6,7,8],[3]] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,8,5,7] => [[1,2,3,5,6],[4,7,8]] => 2
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,8,3,5,7] => [[1,2,3,4,5],[6,7,8]] => 1
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 2
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,6,7,8,3,5] => [[1,2,3,4,5,6],[7,8]] => 1
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,4,3,7,5,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,4,7,3,5,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,4,3,7,8,5,6] => [[1,2,3,5,6],[4,7,8]] => 2
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,4,7,3,8,5,6] => [[1,2,3,4,6],[5,7,8]] => 2
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,4,7,8,3,5,6] => [[1,2,3,4,5],[6,7,8]] => 1
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,4,3,8,5,6,7] => [[1,2,3,5,7,8],[4,6]] => 2
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,4,8,3,5,6,7] => [[1,2,3,4,7,8],[5,6]] => 1
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 2
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,4,3,5,8,6,7] => [[1,2,3,5,6,8],[4,7]] => 2
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 2
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,4,5,7,3,8,6] => [[1,2,3,4,5,7],[6,8]] => 2
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,4,5,7,8,3,6] => [[1,2,3,4,5,6],[7,8]] => 1
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,4,5,3,8,6,7] => [[1,2,3,4,6,8],[5,7]] => 2
[[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,4,5,8,3,6,7] => [[1,2,3,4,5,8],[6,7]] => 1
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,8,7] => [[1,2,3,4,5,7],[6,8]] => 2
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,4,5,6,8,3,7] => [[1,2,3,4,5,6],[7,8]] => 1
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,4,5,6,7,8,3] => [[1,2,3,4,5,6,7],[8]] => 1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,8,7] => [[1,2,3,5,7],[4,6,8]] => 3
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,8,7] => [[1,2,3,4,7],[5,6,8]] => 2
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,8,4,7] => [[1,2,3,4,6],[5,7,8]] => 2
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,2,5,3,6,7,8,4] => [[1,2,3,5,6,7],[4,8]] => 2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,2,5,6,3,7,8,4] => [[1,2,3,4,6,7],[5,8]] => 2
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,2,5,6,7,3,8,4] => [[1,2,3,4,5,7],[6,8]] => 2
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,2,5,6,7,8,3,4] => [[1,2,3,4,5,6],[7,8]] => 1
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,7,4,8,6] => [[1,2,3,5,7],[4,6,8]] => 3
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,7,3,4,8,6] => [[1,2,3,4,7],[5,6,8]] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,7,3,8,4,6] => [[1,2,3,4,6],[5,7,8]] => 2
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,7,8,3,4,6] => [[1,2,3,4,5],[6,7,8]] => 1
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,2,6,3,7,4,8,5] => [[1,2,3,5,7],[4,6,8]] => 3
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,2,6,3,7,8,4,5] => [[1,2,3,5,6],[4,7,8]] => 2
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,6,7,3,8,4,5] => [[1,2,3,4,6],[5,7,8]] => 2
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,2,6,7,8,3,4,5] => [[1,2,3,4,5],[6,7,8]] => 1
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,2,5,3,8,4,6,7] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,2,5,8,3,4,6,7] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,8,4,5,7] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,2,6,8,3,4,5,7] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,2,7,3,8,4,5,6] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,2,7,8,3,4,5,6] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 2
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,2,5,3,4,8,6,7] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 2
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,8,5,7] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,2,7,3,4,8,5,6] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,8,7] => [[1,2,3,5,6,7],[4,8]] => 2
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,2,7,3,4,5,8,6] => [[1,2,3,5,6,7],[4,8]] => 2
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,2,8,3,4,5,6,7] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 2
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,7,4,8,6] => [[1,2,3,4,5,7],[6,8]] => 2
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,7,8,4,6] => [[1,2,3,4,5,6],[7,8]] => 1
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,5,4,8,6,7] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,5,8,4,6,7] => [[1,2,3,4,5,8],[6,7]] => 1
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => 2
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,8,7] => [[1,2,3,4,5,7],[6,8]] => 2
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,5,6,8,4,7] => [[1,2,3,4,5,6],[7,8]] => 1
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,5,6,7,8,4] => [[1,2,3,4,5,6,7],[8]] => 1
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,7,8,5] => [[1,2,3,4,6,7],[5,8]] => 2
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,2,3,6,7,4,8,5] => [[1,2,3,4,5,7],[6,8]] => 2
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,2,3,6,7,8,4,5] => [[1,2,3,4,5,6],[7,8]] => 1
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,8,5,7] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,8,4,5,7] => [[1,2,3,4,5,8],[6,7]] => 1
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,2,3,7,4,8,5,6] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,2,3,7,8,4,5,6] => [[1,2,3,4,5,8],[6,7]] => 1
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,8,7] => [[1,2,3,4,6,7],[5,8]] => 2
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,2,3,7,4,5,8,6] => [[1,2,3,4,6,7],[5,8]] => 2
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,2,3,8,4,5,6,7] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,8,7] => [[1,2,3,4,5,7],[6,8]] => 2
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,8,5,7] => [[1,2,3,4,5,6],[7,8]] => 1
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,6,7,8,5] => [[1,2,3,4,5,6,7],[8]] => 1
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,2,3,4,7,5,8,6] => [[1,2,3,4,5,7],[6,8]] => 2
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,2,3,4,7,8,5,6] => [[1,2,3,4,5,6],[7,8]] => 1
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,2,3,4,8,5,6,7] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,7],[8]] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,8,6,7] => [[1,2,3,4,5,6,8],[7]] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7,9] => [[1,2,3,4,9],[5,6,7,8]] => 1
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,6,7,8,9,1,3,5] => [[1,2,3,4,5,6],[7,8,9]] => 1
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,4,5,6,7,8,9,1,3] => [[1,2,3,4,5,6,7],[8,9]] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1] => [[1,2,3,4,5,6,7,8],[9]] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9]] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => 5
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]] => 4
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,8,10,1,3,5,7,9] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,5,6,7,8,9,1,3,4] => [[1,2,3,4,5,6],[7,8,9]] => 1
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,4,5,6,7,8,9,10,1,3] => [[1,2,3,4,5,6,7,8],[9,10]] => 1
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,1,2] => [[1,2,3,4,5,6,7],[8,9]] => 1
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,1] => [[1,2,3,4,5,6,7,8,9],[10]] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10] => [[1,2,3,4,5,6,7,8,9,10]] => 0
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5,9,8] => [[1,2,4,6,8],[3,5,7,9]] => 4
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => 4
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => 4
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,8,5,10,7,9] => [[1,2,4,6,8],[3,5,7,9,10]] => 4
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => 4
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,9,8,10] => [[1,2,4,6,8,10],[3,5,7,9]] => 4
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8] => [[1,3,4,5,6,7,8,9],[2]] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1,2,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [8,1,9,2,3,4,5,6,7] => [[1,3,5,6,7,8,9],[2,4]] => 2
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,9,2] => [[1,2,3,4,5,6,8],[7,9]] => 2
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,1,2] => [[1,2,3,4,5,6,7,8],[9,10]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => 5
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,7,4,9,6,8] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,9,8] => [[1,2,3,4,6,8],[5,7,9]] => 3
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,9,8] => [[1,2,3,4,5,6,8],[7,9]] => 2
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9]] => 1
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,8,7,10,9] => [[1,2,3,5,7,9],[4,6,8,10]] => 4
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,9,8,10] => [[1,2,3,4,6,8,10],[5,7,9]] => 3
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,8,7,10,9] => [[1,2,3,4,5,7,9],[6,8,10]] => 3
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5,9,8] => [[1,2,3,4,6,8],[5,7,9]] => 3
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,7,10,9] => [[1,2,3,4,5,6,7,9],[8,10]] => 2
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,8,6,9,7] => [[1,2,3,4,5,6,8],[7,9]] => 2
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,9,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => 1
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,10,9] => [[1,2,3,4,5,6,7,8,9],[10]] => 1
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,5,6,7,8,9,1,4] => [[1,2,3,4,5,6,7],[8,9]] => 1
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,3,4,5,6,7,8,9,2] => [[1,2,3,4,5,6,7,8],[9]] => 1
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,9,7] => [[1,2,3,4,5,6,7,8],[9]] => 1
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,9,2,3,4,5,6,7,8] => [[1,2,4,5,6,7,8,9],[3]] => 1
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,10,8,9] => [[1,2,3,4,5,6,7,8,10],[9]] => 1
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,10,7,8,9] => [[1,2,3,4,5,6,7,9,10],[8]] => 1
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,10,6,7,8,9] => [[1,2,3,4,5,6,8,9,10],[7]] => 1
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,2,3,4,10,5,6,7,8,9] => [[1,2,3,4,5,7,8,9,10],[6]] => 1
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,2,3,10,4,5,6,7,8,9] => [[1,2,3,4,6,7,8,9,10],[5]] => 1
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,2,10,3,4,5,6,7,8,9] => [[1,2,3,5,6,7,8,9,10],[4]] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,10,2,3,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9,10],[3]] => 1
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6,9,8] => [[1,2,3,4,6,8],[5,7,9]] => 3
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => 5
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,7,3,8,6,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,5,6,7,8,9,1,2,4] => [[1,2,3,4,5,6],[7,8,9]] => 1
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,4,5,6,7,8,9,2,3] => [[1,2,3,4,5,6,7],[8,9]] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [9,1,10,2,3,4,5,6,7,8] => [[1,3,5,6,7,8,9,10],[2,4]] => 2
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6,9,8] => [[1,2,3,4,6,8],[5,7,9]] => 3
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,8,2,9,3,4,5,6] => [[1,3,5,7,8,9],[2,4,6]] => 3
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,7,2,8,3,9,4,5] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [8,1,9,2,10,3,4,5,6,7] => [[1,3,5,7,8,9,10],[2,4,6]] => 3
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [7,1,8,2,9,3,10,4,5,6] => [[1,3,5,7,9,10],[2,4,6,8]] => 4
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [6,1,7,2,8,3,9,4,10,5] => [[1,3,5,7,9],[2,4,6,8,10]] => 5
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,9,4,8] => [[1,3,5,7,9],[2,4,6,8]] => 4
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => 5
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6,9,8] => [[1,2,4,6,8],[3,5,7,9]] => 4
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,8,9,6,7] => [[1,2,3,4,5,6,7],[8,9]] => 1
[[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,6,2,7,3,8,4,9,5] => [[1,2,4,6,8],[3,5,7,9]] => 4
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,4 1,11,2 1,26,15 1,57,69,5 1,120,252,56
F1=1
F2=1+q
F3=1+4 q
F4=1+11 q+2 q2
F5=1+26 q+15 q2
F6=1+57 q+69 q2+5 q3
F7=1+120 q+252 q2+56 q3
Description
The number of descents of a standard tableau.
Entry i of a standard Young tableau is a descent if i+1 appears in a row below the row of i.
Entry i of a standard Young tableau is a descent if i+1 appears in a row below the row of i.
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
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length n and pairs of standard Young tableaux of the same shape and of size n, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length n and pairs of standard Young tableaux of the same shape and of size n, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!