Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
St001712: Standard tableaux ⟶ ℤ
Values
[.,.] => [1] => [[1]] => 0
[.,[.,.]] => [2,1] => [[1],[2]] => 0
[[.,.],.] => [1,2] => [[1,2]] => 0
[.,[.,[.,.]]] => [3,2,1] => [[1],[2],[3]] => 0
[.,[[.,.],.]] => [2,3,1] => [[1,2],[3]] => 0
[[.,.],[.,.]] => [1,3,2] => [[1,2],[3]] => 0
[[.,[.,.]],.] => [2,1,3] => [[1,3],[2]] => 1
[[[.,.],.],.] => [1,2,3] => [[1,2,3]] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [[1],[2],[3],[4]] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [[1,2],[3],[4]] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => [[1,2],[3],[4]] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [[1,3],[2],[4]] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [[1,2,3],[4]] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [[1,2],[3],[4]] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [[1,2,3],[4]] => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => [[1,3],[2,4]] => 1
[[[.,.],.],[.,.]] => [1,2,4,3] => [[1,2,3],[4]] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [[1,4],[2],[3]] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => [[1,2,4],[3]] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [[1,2,4],[3]] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [[1,3,4],[2]] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [[1,2,3,4]] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 0
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 0
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 0
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [[1,2,3],[4],[5]] => 0
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [[1,3],[2,4],[5]] => 1
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [[1,2,3],[4],[5]] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [[1,2,4],[3],[5]] => 1
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [[1,2,4],[3],[5]] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [[1,3,4],[2],[5]] => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 0
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [[1,2,3],[4],[5]] => 0
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [[1,2,3],[4],[5]] => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [[1,2,4],[3],[5]] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [[1,2,3,4],[5]] => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 1
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [[1,3,4],[2,5]] => 1
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [[1,2,3,4],[5]] => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => 1
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [[1,2,4],[3,5]] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [[1,2,4],[3,5]] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [[1,3,4],[2,5]] => 1
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [[1,2,3,4],[5]] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [[1,2,5],[3],[4]] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [[1,2,5],[3],[4]] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [[1,3,5],[2],[4]] => 2
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [[1,2,3,5],[4]] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [[1,2,5],[3],[4]] => 1
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [[1,2,3,5],[4]] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [[1,3,5],[2,4]] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [[1,2,3,5],[4]] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [[1,2,4,5],[3]] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [[1,2,4,5],[3]] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [[1,2,3,4,5]] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [[1,2,4],[3],[5],[6]] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [[1,2,3,4],[5],[6]] => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [[1,3,4],[2,5],[6]] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [[1,2,3,4],[5],[6]] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [[1,2,4],[3,5],[6]] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => 1
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [[1,2,3,4],[5],[6]] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [[1,2,5],[3],[4],[6]] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [[1,2,5],[3],[4],[6]] => 1
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [[1,2,3,5],[4],[6]] => 1
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [[1,3,5],[2,4],[6]] => 2
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [[1,2,3,5],[4],[6]] => 1
>>> Load all 1647 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => 1
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => 1
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [[1,2,4,5],[3],[6]] => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => 0
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [[1,2,4],[3],[5],[6]] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [[1,2,3,4],[5],[6]] => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [[1,2,3,4],[5],[6]] => 0
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [[1,2,3,4],[5],[6]] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [[1,2,5],[3],[4],[6]] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [[1,2,3,5],[4],[6]] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [[1,2,3,5],[4],[6]] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [[1,2,4,5],[3],[6]] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [[1,2,3,4,5],[6]] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [[1,3,4],[2,5],[6]] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [[1,3,5],[2,4],[6]] => 2
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [[1,2,3,4],[5],[6]] => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [[1,2,3,4],[5],[6]] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [[1,2,3,5],[4],[6]] => 1
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [[1,2,3,4,5],[6]] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 1
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [[1,4,5],[2,6],[3]] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => 1
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => 1
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [[1,2,3,4,5],[6]] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [[1,2,5],[3,6],[4]] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [[1,2,5],[3,6],[4]] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [[1,3,5],[2,6],[4]] => 2
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => 1
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => 2
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => 1
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => 1
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => 1
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [[1,2,6],[3],[4],[5]] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [[1,2,6],[3],[4],[5]] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [[1,3,6],[2],[4],[5]] => 2
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [[1,2,6],[3],[4],[5]] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [[1,2,3,6],[4],[5]] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [[1,3,6],[2,4],[5]] => 2
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [[1,2,3,6],[4],[5]] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [[1,2,4,6],[3],[5]] => 2
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [[1,2,4,6],[3],[5]] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => 2
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [[1,2,3,6],[4],[5]] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [[1,2,3,6],[4],[5]] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [[1,2,4,6],[3],[5]] => 2
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [[1,2,3,4,6],[5]] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => 2
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [[1,3,4,6],[2,5]] => 2
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => 1
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [[1,2,3,4,6],[5]] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => 2
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [[1,2,4,6],[3,5]] => 2
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => 2
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => 2
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [[1,2,5,6],[3],[4]] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [[1,2,5,6],[3],[4]] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => 2
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [[1,2,3,5,6],[4]] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => 2
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [[1,3],[2,4],[5],[6],[7]] => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [[1,2,4],[3],[5],[6],[7]] => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [[1,2,4],[3],[5],[6],[7]] => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 0
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [[1,2,4],[3],[5],[6],[7]] => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [[1,3],[2,4],[5],[6],[7]] => 1
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [[1,3,4],[2,5],[6],[7]] => 1
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [[1,4],[2,5],[3],[6],[7]] => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [[1,2,4],[3,5],[6],[7]] => 1
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [[1,2,4],[3,5],[6],[7]] => 1
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [[1,3,4],[2,5],[6],[7]] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => 1
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [[1,3,5],[2],[4],[6],[7]] => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [[1,2,3,5],[4],[6],[7]] => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [[1,2,3,5],[4],[6],[7]] => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [[1,3,5],[2,4],[6],[7]] => 2
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [[1,2,3,5],[4],[6],[7]] => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [[1,2,4,5],[3],[6],[7]] => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [[1,2,4,5],[3],[6],[7]] => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [[1,2,3,4,5],[6],[7]] => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7]] => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [[1,2,4],[3],[5],[6],[7]] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [[1,2,4],[3,5],[6],[7]] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [[1,2,5],[3],[4],[6],[7]] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [[1,2,3,5],[4],[6],[7]] => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [[1,2,3,5],[4],[6],[7]] => 1
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [[1,2,4,5],[3],[6],[7]] => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [[1,2,3,4,5],[6],[7]] => 0
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7]] => 1
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [[1,3,4],[2,5],[6],[7]] => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [[1,3,4],[2,5],[6],[7]] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [[1,3,5],[2,4],[6],[7]] => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [[1,3,4,5],[2,6],[7]] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [[1,2,3,5],[4],[6],[7]] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [[1,2,3,4,5],[6],[7]] => 0
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [[1,4],[2,5],[3,6],[7]] => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [[1,4,5],[2,6],[3],[7]] => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [[1,2,4],[3,5],[6],[7]] => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [[1,2,4,5],[3,6],[7]] => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [[1,2,4],[3,5],[6],[7]] => 1
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [[1,2,4,5],[3,6],[7]] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [[1,3,4],[2,5],[6],[7]] => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [[1,3,4,5],[2,6],[7]] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [[1,2,3,4,5],[6],[7]] => 0
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 1
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 1
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [[1,3,5],[2,6],[4],[7]] => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [[1,2,3,5],[4,6],[7]] => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 1
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [[1,2,3,5],[4,6],[7]] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [[1,3,5],[2,4,6],[7]] => 2
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [[1,2,3,5],[4,6],[7]] => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [[1,4,5],[2,6],[3],[7]] => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [[1,2,4,5],[3,6],[7]] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [[1,2,4,5],[3,6],[7]] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [[1,3,4,5],[2,6],[7]] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [[1,2,3,4,5],[6],[7]] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [[1,6],[2],[3],[4],[5],[7]] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [[1,2,6],[3],[4],[5],[7]] => 1
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [[1,2,6],[3],[4],[5],[7]] => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [[1,3,6],[2],[4],[5],[7]] => 2
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [[1,2,3,6],[4],[5],[7]] => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [[1,2,6],[3],[4],[5],[7]] => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [[1,2,3,6],[4],[5],[7]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [[1,3,6],[2,4],[5],[7]] => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [[1,2,3,6],[4],[5],[7]] => 1
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 2
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => 2
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [[1,2,3,4,6],[5],[7]] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [[1,2,6],[3],[4],[5],[7]] => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [[1,2,3,6],[4],[5],[7]] => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [[1,2,3,6],[4],[5],[7]] => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [[1,2,4,6],[3],[5],[7]] => 2
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [[1,2,3,4,6],[5],[7]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [[1,3,6],[2,4],[5],[7]] => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [[1,3,4,6],[2,5],[7]] => 2
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [[1,2,3,6],[4],[5],[7]] => 1
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [[1,2,3,4,6],[5],[7]] => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [[1,4,6],[2,5],[3],[7]] => 2
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [[1,2,4,6],[3,5],[7]] => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [[1,2,4,6],[3,5],[7]] => 2
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [[1,3,4,6],[2,5],[7]] => 2
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [[1,2,3,4,6],[5],[7]] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 1
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [[1,2,3,5,6],[4],[7]] => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 1
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [[1,2,3,5,6],[4],[7]] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [[1,3,5,6],[2,4],[7]] => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [[1,2,3,5,6],[4],[7]] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => 0
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => 0
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [[1,2,4],[3],[5],[6],[7]] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [[1,2,3,4],[5],[6],[7]] => 0
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [[1,2,3],[4],[5],[6],[7]] => 0
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [[1,2,3,4],[5],[6],[7]] => 0
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [[1,2,4],[3,5],[6],[7]] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [[1,2,3,4],[5],[6],[7]] => 0
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [[1,2,5],[3],[4],[6],[7]] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [[1,2,3,5],[4],[6],[7]] => 1
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [[1,2,3,5],[4],[6],[7]] => 1
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [[1,2,4,5],[3],[6],[7]] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [[1,2,3,4,5],[6],[7]] => 0
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7]] => 0
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [[1,2,3,4],[5],[6],[7]] => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [[1,2,3,4],[5],[6],[7]] => 0
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [[1,2,3,5],[4],[6],[7]] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [[1,2,3,4,5],[6],[7]] => 0
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [[1,2,4],[3,5],[6],[7]] => 1
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [[1,2,4,5],[3,6],[7]] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [[1,2,3,4],[5],[6],[7]] => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [[1,2,3,4,5],[6],[7]] => 0
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [[1,2,5],[3,6],[4],[7]] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [[1,2,3,5],[4,6],[7]] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [[1,2,3,5],[4,6],[7]] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [[1,2,4,5],[3,6],[7]] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [[1,2,3,4,5],[6],[7]] => 0
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [[1,2,6],[3],[4],[5],[7]] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [[1,2,3,6],[4],[5],[7]] => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [[1,2,3,6],[4],[5],[7]] => 1
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [[1,2,4,6],[3],[5],[7]] => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [[1,2,3,4,6],[5],[7]] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [[1,2,3,6],[4],[5],[7]] => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [[1,2,3,4,6],[5],[7]] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [[1,2,4,6],[3,5],[7]] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [[1,2,3,4,6],[5],[7]] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [[1,2,5,6],[3],[4],[7]] => 1
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [[1,2,3,5,6],[4],[7]] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [[1,2,3,5,6],[4],[7]] => 1
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [[1,2,4,5,6],[3],[7]] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [[1,2,3,4,5,6],[7]] => 0
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 1
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [[1,3,4],[2,5],[6],[7]] => 1
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [[1,3,4],[2,5],[6],[7]] => 1
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [[1,3,5],[2,4],[6],[7]] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [[1,3,4,5],[2,6],[7]] => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [[1,3,4],[2,5],[6],[7]] => 1
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [[1,3,4,5],[2,6],[7]] => 1
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [[1,3,5],[2,4,6],[7]] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [[1,3,4,5],[2,6],[7]] => 1
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [[1,3,6],[2,4],[5],[7]] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [[1,3,4,6],[2,5],[7]] => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [[1,3,4,6],[2,5],[7]] => 2
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [[1,3,5,6],[2,4],[7]] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [[1,3,4,5,6],[2,7]] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [[1,2,3,4],[5],[6],[7]] => 0
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [[1,2,3,4],[5],[6],[7]] => 0
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [[1,2,3,5],[4],[6],[7]] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [[1,2,3,4,5],[6],[7]] => 0
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [[1,2,3,4],[5],[6],[7]] => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [[1,2,3,4,5],[6],[7]] => 0
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [[1,2,3,5],[4,6],[7]] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [[1,2,3,4,5],[6],[7]] => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [[1,2,3,6],[4],[5],[7]] => 1
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [[1,2,3,4,6],[5],[7]] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [[1,2,3,4,6],[5],[7]] => 1
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [[1,2,3,5,6],[4],[7]] => 1
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [[1,2,3,4,5,6],[7]] => 0
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 1
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [[1,4,5],[2,6],[3,7]] => 1
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [[1,4,5],[2,6],[3,7]] => 1
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [[1,4,6],[2,5],[3,7]] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [[1,4,5,6],[2,7],[3]] => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => 1
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [[1,2,4,5],[3,6],[7]] => 1
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [[1,2,4,5],[3,6],[7]] => 1
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [[1,2,4,6],[3,5],[7]] => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [[1,2,4,5,6],[3,7]] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [[1,2,4,5],[3,6],[7]] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [[1,2,4,5],[3,6],[7]] => 1
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [[1,2,4,6],[3,5],[7]] => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [[1,2,4,5,6],[3,7]] => 1
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [[1,3,4,5],[2,6],[7]] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [[1,3,4,5],[2,6],[7]] => 1
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [[1,3,4,6],[2,5],[7]] => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [[1,3,4,5,6],[2,7]] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [[1,2,3,4,5],[6],[7]] => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [[1,2,3,4,5],[6],[7]] => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [[1,2,3,4,6],[5],[7]] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [[1,2,3,4,5,6],[7]] => 0
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 1
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [[1,5,6],[2,7],[3],[4]] => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 1
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 1
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => 1
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [[1,3,5,6],[2,7],[4]] => 2
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [[1,2,3,5],[4,6],[7]] => 1
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [[1,2,3,5,6],[4,7]] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => 1
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [[1,2,5,6],[3,7],[4]] => 1
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [[1,2,3,5],[4,6],[7]] => 1
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [[1,2,3,5,6],[4,7]] => 1
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => 2
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [[1,3,5,6],[2,4,7]] => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => 1
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [[1,2,3,5,6],[4,7]] => 1
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => 1
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [[1,4,5,6],[2,7],[3]] => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 1
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [[1,2,4,5,6],[3,7]] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 1
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [[1,2,4,5,6],[3,7]] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => 1
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [[1,3,4,5,6],[2,7]] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [[1,2,3,4,5,6],[7]] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [[1,2,6],[3,7],[4],[5]] => 1
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [[1,2,6],[3,7],[4],[5]] => 1
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [[1,3,6],[2,7],[4],[5]] => 2
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [[1,2,3,6],[4,7],[5]] => 1
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [[1,2,6],[3,7],[4],[5]] => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [[1,2,3,6],[4,7],[5]] => 1
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [[1,3,6],[2,4,7],[5]] => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [[1,2,3,6],[4,7],[5]] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [[1,4,6],[2,7],[3],[5]] => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [[1,2,4,6],[3,7],[5]] => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [[1,2,4,6],[3,7],[5]] => 2
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [[1,3,4,6],[2,7],[5]] => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [[1,2,3,4,6],[5,7]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [[1,2,3,6],[4,7],[5]] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [[1,2,3,6],[4,7],[5]] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [[1,2,4,6],[3,7],[5]] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [[1,2,3,4,6],[5,7]] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => 2
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [[1,3,4,6],[2,5,7]] => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [[1,2,3,4,6],[5,7]] => 1
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3]] => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 2
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => 2
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [[1,2,5,6],[3,7],[4]] => 1
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [[1,2,5,6],[3,7],[4]] => 1
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [[1,2,3,5,6],[4,7]] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [[1,2,3,5,6],[4,7]] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7]] => 2
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [[1,3,7],[2],[4],[5],[6]] => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 1
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [[1,3,7],[2,4],[5],[6]] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 2
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => 2
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [[1,2,3,4,7],[5],[6]] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [[1,2,7],[3],[4],[5],[6]] => 1
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [[1,2,4,7],[3],[5],[6]] => 2
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [[1,2,3,4,7],[5],[6]] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [[1,3,7],[2,4],[5],[6]] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [[1,3,4,7],[2,5],[6]] => 2
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [[1,2,3,4,7],[5],[6]] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [[1,4,7],[2,5],[3],[6]] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [[1,2,4,7],[3,5],[6]] => 2
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [[1,2,4,7],[3,5],[6]] => 2
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [[1,3,4,7],[2,5],[6]] => 2
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [[1,2,3,4,7],[5],[6]] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [[1,5,7],[2],[3],[4],[6]] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 2
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => 3
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [[1,2,3,5,7],[4],[6]] => 2
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [[1,2,3,5,7],[4],[6]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [[1,3,5,7],[2,4],[6]] => 3
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [[1,2,3,5,7],[4],[6]] => 2
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [[1,2,4,5,7],[3],[6]] => 2
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [[1,2,4,5,7],[3],[6]] => 2
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [[1,2,4,7],[3],[5],[6]] => 2
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [[1,2,3,4,7],[5],[6]] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [[1,2,3,4,7],[5],[6]] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [[1,2,4,7],[3,5],[6]] => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [[1,2,3,4,7],[5],[6]] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [[1,2,5,7],[3],[4],[6]] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [[1,2,3,5,7],[4],[6]] => 2
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [[1,2,3,5,7],[4],[6]] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [[1,2,4,5,7],[3],[6]] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [[1,2,3,4,5,7],[6]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => 2
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [[1,3,4,7],[2,5],[6]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [[1,3,4,7],[2,5],[6]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [[1,3,5,7],[2,4],[6]] => 3
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [[1,3,4,5,7],[2,6]] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [[1,2,3,4,7],[5],[6]] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [[1,2,3,4,7],[5],[6]] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [[1,2,3,5,7],[4],[6]] => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [[1,2,3,4,5,7],[6]] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6]] => 2
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [[1,4,5,7],[2,6],[3]] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [[1,2,4,5,7],[3,6]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => 2
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [[1,2,4,5,7],[3,6]] => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => 2
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [[1,3,4,5,7],[2,6]] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [[1,2,3,4,5,7],[6]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => 2
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [[1,2,5,7],[3,6],[4]] => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [[1,2,5,7],[3,6],[4]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => 3
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [[1,2,3,5,7],[4,6]] => 2
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => 2
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [[1,2,3,5,7],[4,6]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => 3
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3]] => 2
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [[1,2,4,5,7],[3,6]] => 2
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => 2
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => 2
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [[1,2,6,7],[3],[4],[5]] => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [[1,2,6,7],[3],[4],[5]] => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [[1,2,3,6,7],[4],[5]] => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [[1,2,6,7],[3],[4],[5]] => 1
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [[1,2,3,6,7],[4],[5]] => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [[1,3,6,7],[2,4],[5]] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [[1,2,3,6,7],[4],[5]] => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [[1,2,4,6,7],[3],[5]] => 2
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [[1,2,4,6,7],[3],[5]] => 2
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => 2
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [[1,2,3,6,7],[4],[5]] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [[1,2,3,6,7],[4],[5]] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [[1,2,4,6,7],[3],[5]] => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [[1,3,4,6,7],[2,5]] => 2
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3]] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [[1,2,4,6,7],[3,5]] => 2
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => 2
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => 2
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [[1,2,5,6,7],[3],[4]] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [[1,2,5,6,7],[3],[4]] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => 2
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 1
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 1
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [[1,2,5],[3],[4],[6],[7],[8]] => 1
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [[1,2,5],[3],[4],[6],[7],[8]] => 1
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 2
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [[1,2,5],[3],[4],[6],[7],[8]] => 1
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [[1,3,5],[2,4],[6],[7],[8]] => 2
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 1
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [[1,2,4,5],[3],[6],[7],[8]] => 1
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [[1,2,4,5],[3],[6],[7],[8]] => 1
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 1
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 1
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [[1,2,5],[3],[4],[6],[7],[8]] => 1
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 1
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [[1,3,4,5],[2,6],[7],[8]] => 1
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [[1,4],[2,5],[3,6],[7],[8]] => 1
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [[1,4,5],[2,6],[3],[7],[8]] => 1
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [[1,2,4,5],[3,6],[7],[8]] => 1
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 1
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [[1,2,5],[3,6],[4],[7],[8]] => 1
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [[1,2,3,5],[4,6],[7],[8]] => 1
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [[1,2,5],[3,6],[4],[7],[8]] => 1
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [[1,3,5],[2,4,6],[7],[8]] => 2
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [[1,4,5],[2,6],[3],[7],[8]] => 1
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [[1,2,4,5],[3,6],[7],[8]] => 1
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 1
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 1
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 1
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [[1,3,6],[2],[4],[5],[7],[8]] => 2
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 1
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [[1,3,6],[2,4],[5],[7],[8]] => 2
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 2
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 2
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 1
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [[1,3,6],[2,4],[5],[7],[8]] => 2
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [[1,2,4,6],[3,5],[7],[8]] => 2
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [[1,2,4,6],[3,5],[7],[8]] => 2
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [[1,3,4,6],[2,5],[7],[8]] => 2
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 1
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [[1,2,5,6],[3],[4],[7],[8]] => 1
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [[1,2,3,5,6],[4],[7],[8]] => 1
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [[1,3,5,6],[2,4],[7],[8]] => 2
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [[1,2,3,5,6],[4],[7],[8]] => 1
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 1
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [[1,2,4,5,6],[3],[7],[8]] => 1
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 1
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 1
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [[1,2,4,5],[3,6],[7],[8]] => 1
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [[1,2,5],[3,6],[4],[7],[8]] => 1
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [[1,2,3,5],[4,6],[7],[8]] => 1
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [[1,2,3,5],[4,6],[7],[8]] => 1
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 1
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [[1,2,4,6],[3,5],[7],[8]] => 2
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [[1,2,5,6],[3],[4],[7],[8]] => 1
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [[1,2,3,5,6],[4],[7],[8]] => 1
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [[1,2,3,5,6],[4],[7],[8]] => 1
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [[1,2,4,5,6],[3],[7],[8]] => 1
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 1
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [[1,3,4,5],[2,6],[7],[8]] => 1
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [[1,3,4,6],[2,5],[7],[8]] => 2
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [[1,3,4,5,6],[2,7],[8]] => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [[1,2,3,5],[4,6],[7],[8]] => 1
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [[1,4],[2,5],[3,6],[7],[8]] => 1
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [[1,4,5],[2,6],[3,7],[8]] => 1
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [[1,2,4,5],[3,6],[7],[8]] => 1
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [[1,2,4,5],[3,6],[7],[8]] => 1
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [[1,2,4,5,6],[3,7],[8]] => 1
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [[1,2,3,4,6],[5],[7],[8]] => 1
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [[1,5],[2,6],[3,7],[4],[8]] => 1
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [[1,5,6],[2,7],[3],[4],[8]] => 1
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [[1,2,5,6],[3,7],[4],[8]] => 1
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [[1,2,3,5,6],[4,7],[8]] => 1
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [[1,2,5],[3,6],[4,7],[8]] => 1
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [[1,2,5,6],[3,7],[4],[8]] => 1
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [[1,2,3,5,6],[4,7],[8]] => 1
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [[1,3,5,6],[2,4,7],[8]] => 2
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [[1,2,3,5],[4,6],[7],[8]] => 1
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [[1,2,3,5,6],[4,7],[8]] => 1
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [[1,4,5],[2,6],[3,7],[8]] => 1
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [[1,4,5,6],[2,7],[3],[8]] => 1
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [[1,2,4,5],[3,6],[7],[8]] => 1
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [[1,2,4,5,6],[3,7],[8]] => 1
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [[1,3,4,5,6],[2,7],[8]] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 1
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [[1,2,6],[3,7],[4],[5],[8]] => 1
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [[1,3,6],[2,7],[4],[5],[8]] => 2
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [[1,2,3,6],[4,7],[5],[8]] => 1
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [[1,2,6],[3,7],[4],[5],[8]] => 1
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [[1,2,3,6],[4,7],[5],[8]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [[1,3,6],[2,4,7],[5],[8]] => 2
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [[1,4,6],[2,7],[3],[5],[8]] => 2
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [[1,2,4,6],[3,7],[5],[8]] => 2
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [[1,2,3,4,6],[5,7],[8]] => 1
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [[1,2,6],[3,7],[4],[5],[8]] => 1
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [[1,2,3,6],[4,7],[5],[8]] => 1
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [[1,2,3,4,6],[5,7],[8]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [[1,3,6],[2,4,7],[5],[8]] => 2
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [[1,2,3,4,6],[5,7],[8]] => 1
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [[1,4,6],[2,5,7],[3],[8]] => 2
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [[1,2,4,6],[3,5,7],[8]] => 2
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [[1,3,4,6],[2,5,7],[8]] => 2
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [[1,2,3,4,6],[5,7],[8]] => 1
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [[1,5,6],[2,7],[3],[4],[8]] => 1
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [[1,2,5,6],[3,7],[4],[8]] => 1
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [[1,2,3,5,6],[4,7],[8]] => 1
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [[1,3,5,6],[2,4,7],[8]] => 2
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [[1,4,5,6],[2,7],[3],[8]] => 1
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [[1,2,4,5,6],[3,7],[8]] => 1
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [[1,2,4,5,6],[3,7],[8]] => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [[1,3,4,5,6],[2,7],[8]] => 1
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => 1
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => 1
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 2
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => 1
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 2
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [[1,2,4,7],[3],[5],[6],[8]] => 2
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [[1,3,7],[2,4],[5],[6],[8]] => 2
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [[1,3,4,7],[2,5],[6],[8]] => 2
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [[1,4,7],[2,5],[3],[6],[8]] => 2
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [[1,2,4,7],[3,5],[6],[8]] => 2
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 2
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [[1,2,5,7],[3],[4],[6],[8]] => 2
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 3
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [[1,2,3,5,7],[4],[6],[8]] => 2
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [[1,2,5,7],[3],[4],[6],[8]] => 2
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [[1,2,3,5,7],[4],[6],[8]] => 2
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [[1,3,5,7],[2,4],[6],[8]] => 3
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [[1,2,3,5,7],[4],[6],[8]] => 2
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 2
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [[1,2,4,5,7],[3],[6],[8]] => 2
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [[1,2,4,5,7],[3],[6],[8]] => 2
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 2
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [[1,2,3,4,5,7],[6],[8]] => 1
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => 1
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [[1,2,4,7],[3],[5],[6],[8]] => 2
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [[1,2,4,7],[3,5],[6],[8]] => 2
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [[1,2,3,5,7],[4],[6],[8]] => 2
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [[1,2,4,5,7],[3],[6],[8]] => 2
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [[1,2,3,4,5,7],[6],[8]] => 1
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [[1,3,7],[2,4],[5],[6],[8]] => 2
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [[1,3,4,7],[2,5],[6],[8]] => 2
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [[1,3,4,7],[2,5],[6],[8]] => 2
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [[1,3,5,7],[2,4],[6],[8]] => 3
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [[1,3,4,5,7],[2,6],[8]] => 2
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [[1,2,3,4,5,7],[6],[8]] => 1
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [[1,4,7],[2,5],[3,6],[8]] => 2
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [[1,4,5,7],[2,6],[3],[8]] => 2
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [[1,2,4,7],[3,5],[6],[8]] => 2
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [[1,2,4,5,7],[3,6],[8]] => 2
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [[1,2,4,7],[3,5],[6],[8]] => 2
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [[1,2,4,5,7],[3,6],[8]] => 2
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [[1,3,4,7],[2,5],[6],[8]] => 2
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 1
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [[1,2,3,4,5,7],[6],[8]] => 1
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [[1,5,7],[2,6],[3],[4],[8]] => 2
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [[1,2,5,7],[3,6],[4],[8]] => 2
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [[1,3,5,7],[2,6],[4],[8]] => 3
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [[1,2,3,5,7],[4,6],[8]] => 2
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [[1,2,5,7],[3,6],[4],[8]] => 2
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [[1,3,5,7],[2,4,6],[8]] => 3
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [[1,2,3,5,7],[4,6],[8]] => 2
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [[1,4,5,7],[2,6],[3],[8]] => 2
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [[1,2,4,5,7],[3,6],[8]] => 2
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [[1,2,4,5,7],[3,6],[8]] => 2
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [[1,3,4,5,7],[2,6],[8]] => 2
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [[1,2,3,4,5,7],[6],[8]] => 1
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 1
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [[1,3,6,7],[2],[4],[5],[8]] => 2
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 1
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [[1,2,6,7],[3],[4],[5],[8]] => 1
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 1
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 1
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 2
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [[1,2,4,6,7],[3],[5],[8]] => 2
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [[1,3,4,6,7],[2],[5],[8]] => 2
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [[1,2,3,4,6,7],[5],[8]] => 1
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [[1,2,6,7],[3],[4],[5],[8]] => 1
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 1
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 1
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [[1,2,3,4,6,7],[5],[8]] => 1
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [[1,3,4,6,7],[2,5],[8]] => 2
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 1
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [[1,2,3,4,6,7],[5],[8]] => 1
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [[1,4,6,7],[2,5],[3],[8]] => 2
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [[1,2,4,6,7],[3,5],[8]] => 2
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [[1,2,4,6,7],[3,5],[8]] => 2
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [[1,2,3,4,6,7],[5],[8]] => 1
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 1
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [[1,2,5,6,7],[3],[4],[8]] => 1
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [[1,2,5,6,7],[3],[4],[8]] => 1
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [[1,3,5,6,7],[2],[4],[8]] => 2
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => 1
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [[1,2,5,6,7],[3],[4],[8]] => 1
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => 1
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [[1,3,5,6,7],[2,4],[8]] => 2
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 1
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => 1
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => 1
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [[1,2,4],[3],[5],[6],[7],[8]] => 1
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => 1
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [[1,2,4,5],[3],[6],[7],[8]] => 1
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => 1
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [[1,2,3,4,6],[5],[7],[8]] => 1
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [[1,2,5,6],[3],[4],[7],[8]] => 1
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [[1,2,3,5,6],[4],[7],[8]] => 1
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [[1,2,4,5,6],[3],[7],[8]] => 1
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [[1,2,3,4,5,6],[7],[8]] => 0
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [[1,2,3,4,6],[5],[7],[8]] => 1
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [[1,2,3,5,6],[4],[7],[8]] => 1
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [[1,2,3,4,5,6],[7],[8]] => 0
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [[1,2,4,6],[3,5],[7],[8]] => 2
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [[1,2,4,5,6],[3,7],[8]] => 1
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [[1,2,3,4,6],[5],[7],[8]] => 1
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [[1,2,3,4,5,6],[7],[8]] => 0
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [[1,2,5],[3,6],[4,7],[8]] => 1
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [[1,2,3,5,6],[4,7],[8]] => 1
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [[1,2,4,5,6],[3,7],[8]] => 1
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [[1,2,3,4,5,6],[7],[8]] => 0
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [[1,2,6],[3,7],[4],[5],[8]] => 1
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [[1,2,3,6],[4,7],[5],[8]] => 1
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [[1,2,3,6],[4,7],[5],[8]] => 1
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [[1,2,3,4,6],[5,7],[8]] => 1
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [[1,2,3,6],[4,7],[5],[8]] => 1
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [[1,2,4,6],[3,5,7],[8]] => 2
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [[1,2,5,6],[3,7],[4],[8]] => 1
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [[1,2,3,5,6],[4,7],[8]] => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [[1,2,3,4,5,6],[7],[8]] => 0
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [[1,2,7],[3],[4],[5],[6],[8]] => 1
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [[1,2,4,7],[3],[5],[6],[8]] => 2
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [[1,2,3,4,7],[5],[6],[8]] => 1
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [[1,2,3,4,7],[5],[6],[8]] => 1
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [[1,2,3,5,7],[4],[6],[8]] => 2
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [[1,2,3,5,7],[4],[6],[8]] => 2
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [[1,2,4,5,7],[3],[6],[8]] => 2
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [[1,2,3,4,5,7],[6],[8]] => 1
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [[1,2,3,5,7],[4],[6],[8]] => 2
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [[1,2,3,4,5,7],[6],[8]] => 1
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [[1,2,3,4,7],[5],[6],[8]] => 1
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [[1,2,3,4,5,7],[6],[8]] => 1
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [[1,2,3,5,7],[4,6],[8]] => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [[1,2,3,4,5,7],[6],[8]] => 1
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [[1,2,4,6,7],[3],[5],[8]] => 2
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [[1,2,4,6,7],[3,5],[8]] => 2
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [[1,2,3,4,6,7],[5],[8]] => 1
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [[1,2,5,6,7],[3],[4],[8]] => 1
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [[1,2,3,5,6,7],[4],[8]] => 1
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [[1,2,4,5,6,7],[3],[8]] => 1
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 1
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [[1,3,5],[2,4],[6],[7],[8]] => 2
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [[1,3,5],[2,4,6],[7],[8]] => 2
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [[1,3,6],[2,4],[5],[7],[8]] => 2
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [[1,3,4,6],[2,5],[7],[8]] => 2
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [[1,3,4,6],[2,5],[7],[8]] => 2
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [[1,3,5,6],[2,4],[7],[8]] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [[1,3,4,5,6],[2,7],[8]] => 1
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [[1,3,4,5,6],[2,7],[8]] => 1
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [[1,3,5],[2,4,6],[7],[8]] => 2
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [[1,3,5,6],[2,4,7],[8]] => 2
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [[1,3,4,5,6],[2,7],[8]] => 1
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [[1,3,6],[2,4,7],[5],[8]] => 2
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [[1,3,4,6],[2,5,7],[8]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [[1,3,4,6],[2,5,7],[8]] => 2
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [[1,3,5,6],[2,4,7],[8]] => 2
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [[1,3,4,5,6],[2,7],[8]] => 1
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [[1,3,7],[2,4],[5],[6],[8]] => 2
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [[1,3,4,7],[2,5],[6],[8]] => 2
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [[1,3,4,7],[2,5],[6],[8]] => 2
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [[1,3,5,7],[2,4],[6],[8]] => 3
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [[1,3,4,5,7],[2,6],[8]] => 2
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [[1,3,4,7],[2,5],[6],[8]] => 2
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [[1,3,4,5,7],[2,6],[8]] => 2
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [[1,3,5,7],[2,4,6],[8]] => 3
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [[1,3,4,6,7],[2,5],[8]] => 2
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [[1,3,5,6,7],[2,4],[8]] => 2
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [[1,3,4,5,6,7],[2,8]] => 1
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [[1,2,3,5],[4],[6],[7],[8]] => 1
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => 1
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [[1,2,3,4,6],[5],[7],[8]] => 1
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [[1,2,3,5,6],[4],[7],[8]] => 1
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [[1,2,3,6],[4,7],[5],[8]] => 1
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [[1,2,3,7],[4],[5],[6],[8]] => 1
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [[1,2,3,4,7],[5],[6],[8]] => 1
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [[1,2,3,4,5,7],[6],[8]] => 1
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [[1,2,3,4,7],[5],[6],[8]] => 1
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [[1,2,3,5,7],[4,6],[8]] => 2
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [[1,2,3,6,7],[4],[5],[8]] => 1
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [[1,2,3,4,6,7],[5],[8]] => 1
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [[1,2,3,5,6,7],[4],[8]] => 1
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => 1
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [[1,4,5],[2,6],[3,7],[8]] => 1
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [[1,4,5],[2,6],[3,7],[8]] => 1
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [[1,4,6],[2,5],[3,7],[8]] => 2
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [[1,4,5,6],[2,7],[3,8]] => 1
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [[1,4,5],[2,6],[3,7],[8]] => 1
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [[1,4,5,6],[2,7],[3,8]] => 1
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [[1,4,6],[2,5,7],[3,8]] => 2
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [[1,4,5,6],[2,7],[3,8]] => 1
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [[1,4,7],[2,5],[3,6],[8]] => 2
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [[1,4,5,7],[2,6],[3,8]] => 2
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [[1,4,5,7],[2,6],[3,8]] => 2
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [[1,4,6,7],[2,5],[3,8]] => 2
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [[1,4,5,6,7],[2,8],[3]] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [[1,2,4,6],[3,5],[7],[8]] => 2
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [[1,2,4,5,6],[3,7],[8]] => 1
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [[1,2,4,5,6],[3,7],[8]] => 1
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [[1,2,4,6],[3,5,7],[8]] => 2
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [[1,2,4,7],[3,5],[6],[8]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [[1,2,4,5,7],[3,6],[8]] => 2
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [[1,2,4,5,7],[3,6],[8]] => 2
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => 1
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 1
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [[1,2,4,6],[3,5],[7],[8]] => 2
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [[1,2,4,5,6],[3,7],[8]] => 1
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [[1,2,4,5,6],[3,7],[8]] => 1
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [[1,2,4,6],[3,5,7],[8]] => 2
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [[1,2,4,5,6],[3,7],[8]] => 1
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [[1,2,4,7],[3,5],[6],[8]] => 2
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [[1,2,4,5,7],[3,6],[8]] => 2
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [[1,2,4,6,7],[3,5],[8]] => 2
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => 1
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => 1
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [[1,3,4,5,6],[2,7],[8]] => 1
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [[1,3,4,6],[2,5,7],[8]] => 2
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [[1,3,4,5,6,7],[2,8]] => 1
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [[1,2,3,4,6],[5],[7],[8]] => 1
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [[1,2,3,4,6],[5,7],[8]] => 1
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [[1,2,3,4,7],[5],[6],[8]] => 1
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [[1,2,3,4,5,7],[6],[8]] => 1
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [[1,2,3,4,5,7],[6],[8]] => 1
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [[1,2,3,4,6,7],[5],[8]] => 1
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => 1
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [[1,5,6],[2,7],[3,8],[4]] => 1
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [[1,5,6],[2,7],[3,8],[4]] => 1
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [[1,5,7],[2,6],[3,8],[4]] => 2
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [[1,5,6,7],[2,8],[3],[4]] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 1
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [[1,2,5,6],[3,7],[4,8]] => 1
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [[1,2,5,6],[3,7],[4,8]] => 1
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [[1,2,5,7],[3,6],[4,8]] => 2
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [[1,2,5,6,7],[3,8],[4]] => 1
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 1
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [[1,2,5,6],[3,7],[4,8]] => 1
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [[1,2,5,6],[3,7],[4,8]] => 1
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [[1,2,5,7],[3,6],[4,8]] => 2
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [[1,2,5,6,7],[3,8],[4]] => 1
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => 2
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [[1,3,5,6],[2,7],[4,8]] => 2
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [[1,3,5,6],[2,7],[4,8]] => 2
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [[1,3,5,7],[2,6],[4,8]] => 3
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [[1,3,5,6,7],[2,8],[4]] => 2
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [[1,2,3,5,6],[4,7],[8]] => 1
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [[1,2,3,5,6],[4,7],[8]] => 1
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [[1,2,3,5,7],[4,6],[8]] => 2
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 1
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 1
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [[1,2,5,6],[3,7],[4,8]] => 1
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [[1,2,5,7],[3,6],[4,8]] => 2
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [[1,2,5,6,7],[3,8],[4]] => 1
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [[1,2,3,5,7],[4,6],[8]] => 2
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 1
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 2
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [[1,3,5,6],[2,4,7],[8]] => 2
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [[1,3,5,6],[2,4,7],[8]] => 2
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [[1,3,5,7],[2,4,6],[8]] => 3
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [[1,3,5,6,7],[2,4,8]] => 2
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 1
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [[1,2,3,5,7],[4,6],[8]] => 2
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => 1
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => 1
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [[1,4,5,6],[2,7],[3,8]] => 1
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [[1,4,5,6],[2,7],[3,8]] => 1
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [[1,4,5,7],[2,6],[3,8]] => 2
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [[1,4,5,6,7],[2,8],[3]] => 1
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [[1,2,4,5,6],[3,7],[8]] => 1
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [[1,2,4,5,7],[3,6],[8]] => 2
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [[1,2,4,5,6,7],[3,8]] => 1
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [[1,2,4,5,6],[3,7],[8]] => 1
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [[1,2,4,5,7],[3,6],[8]] => 2
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [[1,2,4,5,6,7],[3,8]] => 1
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [[1,3,4,5,6],[2,7],[8]] => 1
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [[1,3,4,5,7],[2,6],[8]] => 2
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => 1
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => 0
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [[1,2,3,4,5,7],[6],[8]] => 1
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => 1
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [[1,6,7],[2,8],[3],[4],[5]] => 1
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 1
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 1
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [[1,2,6,7],[3,8],[4],[5]] => 1
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [[1,3,6],[2,7],[4,8],[5]] => 2
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 1
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 1
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [[1,2,6,7],[3,8],[4],[5]] => 1
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 1
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [[1,2,3,6,7],[4,8],[5]] => 1
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [[1,3,6],[2,4,7],[5,8]] => 2
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [[1,3,6,7],[2,4,8],[5]] => 2
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 1
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [[1,4,6],[2,7],[3,8],[5]] => 2
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [[1,4,6,7],[2,8],[3],[5]] => 2
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [[1,2,4,6],[3,7],[5,8]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [[1,2,4,6,7],[3,8],[5]] => 2
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [[1,2,4,6],[3,7],[5,8]] => 2
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [[1,2,4,6,7],[3,8],[5]] => 2
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => 2
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => 1
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 1
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [[1,2,6,7],[3,8],[4],[5]] => 1
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 1
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => 1
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 1
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [[1,3,6],[2,4,7],[5,8]] => 2
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [[1,3,4,6],[2,5,7],[8]] => 2
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 1
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => 1
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 1
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => 2
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [[1,2,4,6,7],[3,5,8]] => 2
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [[1,3,4,6],[2,5,7],[8]] => 2
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [[1,3,4,6,7],[2,5,8]] => 2
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => 1
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [[1,2,3,4,6,7],[5,8]] => 1
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => 1
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [[1,5,6,7],[2,8],[3],[4]] => 1
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => 1
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => 2
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [[1,3,5,6,7],[2,8],[4]] => 2
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 1
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => 1
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [[1,2,5,6,7],[3,8],[4]] => 1
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 1
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => 2
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [[1,3,5,6,7],[2,4,8]] => 2
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => 1
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => 1
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => 1
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [[1,4,5,6,7],[2,8],[3]] => 1
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [[1,2,4,5,6,7],[3,8]] => 1
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [[1,2,4,5,6],[3,7],[8]] => 1
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [[1,2,4,5,6,7],[3,8]] => 1
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [[1,3,4,5,6],[2,7],[8]] => 1
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [[1,3,4,5,6,7],[2,8]] => 1
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8]] => 0
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [[1,7],[2,8],[3],[4],[5],[6]] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [[1,3,7],[2,8],[4],[5],[6]] => 2
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => 1
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [[1,3,7],[2,4,8],[5],[6]] => 2
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => 2
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [[1,2,4,7],[3,8],[5],[6]] => 2
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => 2
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [[1,2,3,4,7],[5,8],[6]] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => 1
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [[1,3,7],[2,4,8],[5],[6]] => 2
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [[1,3,4,7],[2,5,8],[6]] => 2
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [[1,2,3,4,7],[5,8],[6]] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => 2
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [[1,2,4,7],[3,5,8],[6]] => 2
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [[1,2,4,7],[3,5,8],[6]] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [[1,5,7],[2,8],[3],[4],[6]] => 2
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [[1,2,5,7],[3,8],[4],[6]] => 2
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [[1,2,5,7],[3,8],[4],[6]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => 3
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [[1,2,3,5,7],[4,8],[6]] => 2
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [[1,2,5,7],[3,8],[4],[6]] => 2
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [[1,2,3,5,7],[4,8],[6]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [[1,3,5,7],[2,4,8],[6]] => 3
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => 2
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [[1,2,4,5,7],[3,8],[6]] => 2
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [[1,2,4,5,7],[3,8],[6]] => 2
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [[1,2,3,4,5,7],[6,8]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => 1
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [[1,2,4,7],[3,8],[5],[6]] => 2
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [[1,2,3,4,5,7],[6,8]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => 2
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [[1,3,4,7],[2,5,8],[6]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [[1,3,4,7],[2,5,8],[6]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => 3
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [[1,3,4,5,7],[2,6,8]] => 2
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [[1,2,3,4,5,7],[6,8]] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [[1,4,7],[2,5,8],[3,6]] => 2
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => 2
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [[1,2,4,5,7],[3,6,8]] => 2
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [[1,3,4,5,7],[2,6,8]] => 2
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [[1,2,3,4,7],[5,8],[6]] => 1
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [[1,2,3,4,5,7],[6,8]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [[1,5,7],[2,6,8],[3],[4]] => 2
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => 2
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => 3
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => 2
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => 3
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => 2
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => 2
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => 2
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => 2
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [[1,2,3,4,5,7],[6,8]] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => 1
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [[1,2,6,7],[3,8],[4],[5]] => 1
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [[1,2,6,7],[3,8],[4],[5]] => 1
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [[1,3,6,7],[2,8],[4],[5]] => 2
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [[1,2,6,7],[3,8],[4],[5]] => 1
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [[1,3,6,7],[2,4,8],[5]] => 2
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [[1,2,4,6,7],[3,8],[5]] => 2
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [[1,2,3,4,6,7],[5,8]] => 1
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [[1,3,4,6,7],[2,5,8]] => 2
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => 1
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [[1,3,4,6,7],[2,5,8]] => 2
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => 1
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 1
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [[1,3,5,6,7],[2,8],[4]] => 2
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 1
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [[1,2,5,6,7],[3,8],[4]] => 1
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 1
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [[1,3,5,6,7],[2,4,8]] => 2
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => 1
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 1
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 1
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 2
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 1
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [[1,3,8],[2,4],[5],[6],[7]] => 2
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 2
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [[1,2,4,8],[3],[5],[6],[7]] => 2
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [[1,2,4,8],[3],[5],[6],[7]] => 2
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => 2
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [[1,3,8],[2,4],[5],[6],[7]] => 2
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => 2
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [[1,2,4,8],[3,5],[6],[7]] => 2
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [[1,2,4,8],[3,5],[6],[7]] => 2
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [[1,3,4,8],[2,5],[6],[7]] => 2
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 2
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [[1,2,5,8],[3],[4],[6],[7]] => 2
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => 3
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [[1,2,5,8],[3],[4],[6],[7]] => 2
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [[1,2,3,5,8],[4],[6],[7]] => 2
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [[1,3,5,8],[2,4],[6],[7]] => 3
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => 2
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 1
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [[1,2,4,8],[3,5],[6],[7]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [[1,2,3,5,8],[4],[6],[7]] => 2
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [[1,2,4,5,8],[3],[6],[7]] => 2
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [[1,3,8],[2,4],[5],[6],[7]] => 2
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [[1,3,4,8],[2,5],[6],[7]] => 2
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [[1,3,4,8],[2,5],[6],[7]] => 2
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [[1,3,5,8],[2,4],[6],[7]] => 3
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [[1,3,4,5,8],[2,6],[7]] => 2
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [[1,2,3,5,8],[4],[6],[7]] => 2
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => 2
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [[1,2,4,8],[3,5],[6],[7]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [[1,3,4,5,8],[2,6],[7]] => 2
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [[1,5,8],[2,6],[3],[4],[7]] => 2
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [[1,2,5,8],[3,6],[4],[7]] => 2
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [[1,2,5,8],[3,6],[4],[7]] => 2
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [[1,3,5,8],[2,6],[4],[7]] => 3
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [[1,2,3,5,8],[4,6],[7]] => 2
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [[1,3,5,8],[2,4,6],[7]] => 3
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [[1,4,5,8],[2,6],[3],[7]] => 2
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 2
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [[1,2,6,8],[3],[4],[5],[7]] => 2
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [[1,3,6,8],[2],[4],[5],[7]] => 3
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [[1,2,6,8],[3],[4],[5],[7]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [[1,2,3,6,8],[4],[5],[7]] => 2
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [[1,2,3,6,8],[4],[5],[7]] => 2
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 3
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [[1,2,4,6,8],[3],[5],[7]] => 3
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [[1,2,4,6,8],[3],[5],[7]] => 3
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 3
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [[1,2,4,6,8],[3],[5],[7]] => 3
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [[1,3,6,8],[2,4],[5],[7]] => 3
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [[1,4,6,8],[2,5],[3],[7]] => 3
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [[1,2,4,6,8],[3,5],[7]] => 3
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [[1,2,4,6,8],[3,5],[7]] => 3
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 2
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [[1,2,5,6,8],[3],[4],[7]] => 2
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [[1,2,3,5,6,8],[4],[7]] => 2
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [[1,2,5,6,8],[3],[4],[7]] => 2
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [[1,2,3,5,6,8],[4],[7]] => 2
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 2
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [[1,2,4,5,6,8],[3],[7]] => 2
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 2
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 1
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [[1,2,4,8],[3],[5],[6],[7]] => 2
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [[1,2,3,5,8],[4],[6],[7]] => 2
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [[1,2,3,5,8],[4],[6],[7]] => 2
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [[1,2,4,5,8],[3],[6],[7]] => 2
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [[1,2,3,5,8],[4],[6],[7]] => 2
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [[1,2,3,5,8],[4,6],[7]] => 2
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [[1,2,4,6,8],[3],[5],[7]] => 3
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [[1,2,3,6,8],[4],[5],[7]] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [[1,2,4,6,8],[3,5],[7]] => 3
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [[1,2,5,6,8],[3],[4],[7]] => 2
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [[1,2,3,5,6,8],[4],[7]] => 2
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [[1,3,8],[2,4],[5],[6],[7]] => 2
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [[1,3,4,8],[2,5],[6],[7]] => 2
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [[1,3,4,5,8],[2,6],[7]] => 2
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => 1
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [[1,2,3,5,6,8],[4],[7]] => 2
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => 2
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [[1,4,5,8],[2,6],[3,7]] => 2
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [[1,2,4,6,8],[3,5],[7]] => 3
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => 2
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [[1,2,4,6,8],[3,5],[7]] => 3
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [[1,3,4,5,8],[2,6],[7]] => 2
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => 1
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [[1,5,8],[2,6],[3,7],[4]] => 2
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [[1,5,6,8],[2,7],[3],[4]] => 2
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [[1,3,5,8],[2,6],[4,7]] => 3
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [[1,3,5,6,8],[2,7],[4]] => 3
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [[1,2,3,5,8],[4,6],[7]] => 2
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => 2
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [[1,2,5,6,8],[3,7],[4]] => 2
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => 2
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => 2
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [[1,6,8],[2,7],[3],[4],[5]] => 2
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => 2
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => 2
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => 2
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => 2
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => 2
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [[1,3,6,8],[2,4,7],[5]] => 3
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => 2
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => 3
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => 3
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => 2
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => 2
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => 2
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => 3
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [[1,3,6,8],[2,4,7],[5]] => 3
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => 3
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 3
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => 2
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [[1,5,6,8],[2,7],[3],[4]] => 2
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [[1,3,5,6,8],[2,7],[4]] => 3
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [[1,2,5,6,8],[3,7],[4]] => 2
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => 2
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 2
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => 2
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 1
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => 1
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [[1,3,7,8],[2],[4],[5],[6]] => 2
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 1
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => 1
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [[1,3,7,8],[2,4],[5],[6]] => 2
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => 2
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 1
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 1
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [[1,4,7,8],[2,5],[3],[6]] => 2
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [[1,2,4,7,8],[3,5],[6]] => 2
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => 2
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [[1,2,5,7,8],[3],[4],[6]] => 2
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [[1,2,5,7,8],[3],[4],[6]] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => 3
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [[1,2,3,5,7,8],[4],[6]] => 2
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [[1,2,3,5,7,8],[4],[6]] => 2
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 2
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [[1,2,4,5,7,8],[3],[6]] => 2
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => 1
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 1
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 1
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [[1,2,4,7,8],[3],[5],[6]] => 2
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [[1,2,4,7,8],[3,5],[6]] => 2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => 2
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [[1,2,3,5,7,8],[4],[6]] => 2
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [[1,2,4,5,7,8],[3],[6]] => 2
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [[1,3,4,7,8],[2,5],[6]] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [[1,3,4,7,8],[2,5],[6]] => 2
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 1
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [[1,4,7,8],[2,5],[3,6]] => 2
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [[1,4,5,7,8],[2,6],[3]] => 2
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => 2
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => 2
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [[1,2,3,4,7,8],[5],[6]] => 1
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [[1,5,7,8],[2,6],[3],[4]] => 2
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [[1,2,5,7,8],[3,6],[4]] => 2
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => 3
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => 3
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => 2
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [[1,2,4,5,7,8],[3,6]] => 2
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => 2
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 1
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => 1
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => 1
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 2
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 1
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => 1
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 1
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => 2
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 1
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 2
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => 2
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => 2
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 2
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => 1
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 1
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => 2
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [[1,3,4,6,7,8],[2,5]] => 2
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 1
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [[1,4,6,7,8],[2,5],[3]] => 2
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => 2
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 1
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => 1
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => 1
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => 1
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 0
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Generating function
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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:
4,1 8,6 16,24,2 32,80,20 64,240,120,5
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 4 + q$
$F_{4} = 8 + 6\ q$
$F_{5} = 16 + 24\ q + 2\ q^{2}$
$F_{6} = 32 + 80\ q + 20\ q^{2}$
$F_{7} = 64 + 240\ q + 120\ q^{2} + 5\ q^{3}$
Description
The number of natural descents of a standard Young tableau.
A natural descent of a standard tableau $T$ is an entry $i$ such that $i+1$ appears in a higher row than $i$ in English notation.
A natural descent of a standard tableau $T$ is an entry $i$ such that $i+1$ appears in a higher row than $i$ in English notation.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
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.
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