Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00295: Standard tableaux —valley composition⟶ Integer compositions
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00295: Standard tableaux —valley composition⟶ Integer compositions
Images
[.,.] => [1] => [[1]] => [1]
[.,[.,.]] => [2,1] => [[1],[2]] => [2]
[[.,.],.] => [1,2] => [[1,2]] => [2]
[.,[.,[.,.]]] => [3,2,1] => [[1],[2],[3]] => [3]
[.,[[.,.],.]] => [2,3,1] => [[1,3],[2]] => [2,1]
[[.,.],[.,.]] => [1,3,2] => [[1,2],[3]] => [3]
[[.,[.,.]],.] => [2,1,3] => [[1,3],[2]] => [2,1]
[[[.,.],.],.] => [1,2,3] => [[1,2,3]] => [3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [[1],[2],[3],[4]] => [4]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [[1,4],[2],[3]] => [3,1]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [[1,3],[2],[4]] => [2,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [[1,4],[2],[3]] => [3,1]
[.,[[[.,.],.],.]] => [2,3,4,1] => [[1,3,4],[2]] => [2,2]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [[1,2],[3],[4]] => [4]
[[.,.],[[.,.],.]] => [1,3,4,2] => [[1,2,4],[3]] => [3,1]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [[1,3],[2,4]] => [2,2]
[[[.,.],.],[.,.]] => [1,2,4,3] => [[1,2,3],[4]] => [4]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [[1,4],[2],[3]] => [3,1]
[[.,[[.,.],.]],.] => [2,3,1,4] => [[1,3,4],[2]] => [2,2]
[[[.,.],[.,.]],.] => [1,3,2,4] => [[1,2,4],[3]] => [3,1]
[[[.,[.,.]],.],.] => [2,1,3,4] => [[1,3,4],[2]] => [2,2]
[[[[.,.],.],.],.] => [1,2,3,4] => [[1,2,3,4]] => [4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => [5]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [[1,5],[2],[3],[4]] => [4,1]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [[1,4],[2],[3],[5]] => [3,2]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [[1,5],[2],[3],[4]] => [4,1]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [[1,4,5],[2],[3]] => [3,2]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [[1,3],[2],[4],[5]] => [2,3]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [[1,3,5],[2],[4]] => [2,2,1]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [[1,4],[2,5],[3]] => [3,2]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [[1,3,4],[2],[5]] => [2,3]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [[1,5],[2],[3],[4]] => [4,1]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [[1,4,5],[2],[3]] => [3,2]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [[1,3,5],[2],[4]] => [2,2,1]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [[1,4,5],[2],[3]] => [3,2]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [[1,3,4,5],[2]] => [2,3]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => [5]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [[1,2,5],[3],[4]] => [4,1]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [[1,2,4],[3],[5]] => [3,2]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [[1,2,5],[3],[4]] => [4,1]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [[1,2,4,5],[3]] => [3,2]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => [2,3]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [[1,3,5],[2,4]] => [2,2,1]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => [5]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [[1,2,3,5],[4]] => [4,1]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => [3,2]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [[1,3,4],[2,5]] => [2,3]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [[1,2,4],[3,5]] => [3,2]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [[1,3,4],[2,5]] => [2,3]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [[1,2,3,4],[5]] => [5]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => [4,1]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [[1,4,5],[2],[3]] => [3,2]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [[1,3,5],[2],[4]] => [2,2,1]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [[1,4,5],[2],[3]] => [3,2]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [[1,3,4,5],[2]] => [2,3]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [[1,2,5],[3],[4]] => [4,1]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [[1,2,4,5],[3]] => [3,2]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [[1,3,5],[2,4]] => [2,2,1]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [[1,2,3,5],[4]] => [4,1]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => [3,2]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [[1,3,4,5],[2]] => [2,3]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [[1,2,4,5],[3]] => [3,2]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [[1,3,4,5],[2]] => [2,3]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [[1,2,3,4,5]] => [5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => [6]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5]] => [5,1]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [4,2]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5]] => [5,1]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]] => [4,2]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [3,3]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]] => [4,2]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]] => [3,3]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5]] => [5,1]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [[1,5,6],[2],[3],[4]] => [4,2]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [[1,5,6],[2],[3],[4]] => [4,2]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [[1,4,5,6],[2],[3]] => [3,3]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [2,4]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [[1,3,5],[2],[4],[6]] => [2,2,2]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [[1,3,5,6],[2],[4]] => [2,2,2]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]] => [3,3]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [[1,4,6],[2,5],[3]] => [3,2,1]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]] => [2,4]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [[1,3,4,6],[2],[5]] => [2,3,1]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]] => [4,2]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [[1,4,5],[2,6],[3]] => [3,3]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [[1,3,5],[2,6],[4]] => [2,2,2]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [[1,4,5],[2,6],[3]] => [3,3]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [[1,3,4,5],[2],[6]] => [2,4]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5]] => [5,1]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [[1,5,6],[2],[3],[4]] => [4,2]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [[1,5,6],[2],[3],[4]] => [4,2]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [[1,4,5,6],[2],[3]] => [3,3]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [[1,3,5,6],[2],[4]] => [2,2,2]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [[1,4,6],[2,5],[3]] => [3,2,1]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [[1,3,4,6],[2],[5]] => [2,3,1]
>>> Load all 1747 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [[1,5,6],[2],[3],[4]] => [4,2]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [[1,4,5,6],[2],[3]] => [3,3]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [[1,3,5,6],[2],[4]] => [2,2,2]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [[1,4,5,6],[2],[3]] => [3,3]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [[1,3,4,5,6],[2]] => [2,4]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [6]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]] => [5,1]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [[1,2,5],[3],[4],[6]] => [4,2]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [5,1]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [[1,2,5,6],[3],[4]] => [4,2]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [[1,2,4],[3],[5],[6]] => [3,3]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [[1,2,4,6],[3],[5]] => [3,2,1]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [[1,2,5],[3,6],[4]] => [4,2]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [[1,2,4,5],[3],[6]] => [3,3]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [5,1]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [[1,2,5,6],[3],[4]] => [4,2]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [[1,2,4,6],[3],[5]] => [3,2,1]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [[1,2,5,6],[3],[4]] => [4,2]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [[1,2,4,5,6],[3]] => [3,3]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => [2,4]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [[1,3,6],[2,4],[5]] => [2,3,1]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [[1,3,5],[2,4],[6]] => [2,2,2]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [[1,3,6],[2,4],[5]] => [2,3,1]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [[1,3,5,6],[2,4]] => [2,2,2]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => [6]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [[1,2,3,6],[4],[5]] => [5,1]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [[1,2,3,5],[4],[6]] => [4,2]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [[1,2,3,6],[4],[5]] => [5,1]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [[1,2,3,5,6],[4]] => [4,2]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => [3,3]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [[1,4,6],[2,5],[3]] => [3,2,1]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [[1,3,4],[2,5],[6]] => [2,4]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [[1,3,4,6],[2,5]] => [2,3,1]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => [3,3]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [[1,2,4,6],[3,5]] => [3,2,1]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => [2,4]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [[1,3,4,6],[2,5]] => [2,3,1]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => [6]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [[1,2,3,4,6],[5]] => [5,1]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => [4,2]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [[1,4,5],[2,6],[3]] => [3,3]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [[1,3,5],[2,6],[4]] => [2,2,2]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [[1,4,5],[2,6],[3]] => [3,3]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [[1,3,4,5],[2,6]] => [2,4]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => [4,2]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [[1,2,4,5],[3,6]] => [3,3]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => [2,2,2]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => [4,2]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => [3,3]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [[1,3,4,5],[2,6]] => [2,4]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => [3,3]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => [2,4]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => [6]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => [5,1]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [[1,5,6],[2],[3],[4]] => [4,2]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [[1,5,6],[2],[3],[4]] => [4,2]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [[1,4,5,6],[2],[3]] => [3,3]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [[1,3,5,6],[2],[4]] => [2,2,2]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [[1,4,6],[2,5],[3]] => [3,2,1]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [[1,3,4,6],[2],[5]] => [2,3,1]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [[1,5,6],[2],[3],[4]] => [4,2]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [[1,4,5,6],[2],[3]] => [3,3]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [[1,3,5,6],[2],[4]] => [2,2,2]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [[1,4,5,6],[2],[3]] => [3,3]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [[1,3,4,5,6],[2]] => [2,4]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [5,1]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [[1,2,5,6],[3],[4]] => [4,2]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [[1,2,4,6],[3],[5]] => [3,2,1]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [[1,2,5,6],[3],[4]] => [4,2]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [[1,2,4,5,6],[3]] => [3,3]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => [2,3,1]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [[1,3,5,6],[2,4]] => [2,2,2]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => [5,1]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [[1,2,3,5,6],[4]] => [4,2]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => [3,2,1]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [[1,3,4,6],[2,5]] => [2,3,1]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => [3,2,1]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => [2,3,1]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => [5,1]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => [4,2]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [[1,4,5,6],[2],[3]] => [3,3]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [[1,3,5,6],[2],[4]] => [2,2,2]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [[1,4,5,6],[2],[3]] => [3,3]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [[1,3,4,5,6],[2]] => [2,4]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => [4,2]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [[1,2,4,5,6],[3]] => [3,3]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => [2,2,2]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => [4,2]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => [3,3]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [[1,3,4,5,6],[2]] => [2,4]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => [3,3]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => [2,4]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => [6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => [7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [5,2]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [4,3]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,2]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [3,4]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [4,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [5,2]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5]] => [3,2,2]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [[1,4,5,6,7],[2],[3]] => [3,4]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [2,5]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [[1,3,6],[2],[4],[5],[7]] => [2,3,2]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => [2,2,3]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [[1,3,6],[2,7],[4],[5]] => [2,3,2]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [[1,3,5,6],[2],[4],[7]] => [2,2,3]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [3,4]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [3,3,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [[1,4,6],[2,5],[3],[7]] => [3,2,2]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [3,3,1]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [2,5]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [[1,3,4,6],[2],[5],[7]] => [2,3,2]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [4,3]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [3,4]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7]] => [2,2,3]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [[1,3,5,7],[2,6],[4]] => [2,2,2,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [3,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [2,5]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [[1,3,4,5,7],[2],[6]] => [2,4,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5]] => [5,2]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5]] => [3,2,2]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [[1,4,5,6],[2,7],[3]] => [3,4]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [[1,3,6],[2,7],[4],[5]] => [2,3,2]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [[1,3,5,6],[2,7],[4]] => [2,2,3]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [[1,4,6],[2,5,7],[3]] => [3,2,2]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [[1,3,4,6],[2,7],[5]] => [2,3,2]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => [3,4]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [[1,3,5,6],[2,7],[4]] => [2,2,3]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => [3,4]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [[1,3,4,5,6],[2],[7]] => [2,5]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6]] => [6,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [[1,4,5,6,7],[2],[3]] => [3,4]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [3,3,1]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [[1,3,5,7],[2,6],[4]] => [2,2,2,1]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [[1,3,4,5,7],[2],[6]] => [2,4,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [[1,4,5,6,7],[2],[3]] => [3,4]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [[1,4,5,6,7],[2],[3]] => [3,4]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3]] => [3,4]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2]] => [2,5]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [7]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [[1,2,6],[3],[4],[5],[7]] => [5,2]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,1]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => [4,3]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [[1,2,5,7],[3],[4],[6]] => [4,2,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [[1,2,6],[3,7],[4],[5]] => [5,2]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [[1,2,5,6],[3],[4],[7]] => [4,3]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [6,1]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [[1,2,5,7],[3],[4],[6]] => [4,2,1]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => [3,4]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [[1,2,4,7],[3],[5],[6]] => [3,3,1]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7]] => [3,2,2]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [[1,2,4,7],[3],[5],[6]] => [3,3,1]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7]] => [4,3]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [[1,2,5,7],[3,6],[4]] => [4,2,1]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [[1,2,4,5],[3],[6],[7]] => [3,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [[1,2,4,5,7],[3],[6]] => [3,3,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [[1,2,6],[3,7],[4],[5]] => [5,2]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5]] => [3,2,2]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [[1,2,5,6],[3,7],[4]] => [4,3]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [[1,2,4,5,6],[3],[7]] => [3,4]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [6,1]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [[1,2,5,7],[3],[4],[6]] => [4,2,1]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [[1,2,4,7],[3],[5],[6]] => [3,3,1]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [[1,2,5,7],[3,6],[4]] => [4,2,1]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [[1,2,4,5,7],[3],[6]] => [3,3,1]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3]] => [3,4]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [2,5]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [2,4,1]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [[1,3,6],[2,4],[5],[7]] => [2,3,2]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [2,4,1]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => [2,3,2]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [[1,3,5],[2,4],[6],[7]] => [2,2,3]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [[1,3,5,7],[2,4],[6]] => [2,2,2,1]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [[1,3,6],[2,4,7],[5]] => [2,3,2]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [[1,3,5,6],[2,4],[7]] => [2,2,3]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [2,4,1]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [[1,3,6,7],[2,4],[5]] => [2,3,2]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [[1,3,5,7],[2,4],[6]] => [2,2,2,1]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [2,3,2]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [[1,3,5,6,7],[2,4]] => [2,2,3]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [7]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6]] => [6,1]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [[1,2,3,6],[4],[5],[7]] => [5,2]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [6,1]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7]] => [4,3]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [[1,2,3,5,7],[4],[6]] => [4,2,1]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [[1,2,3,6],[4,7],[5]] => [5,2]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [[1,2,3,5,6],[4],[7]] => [4,3]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [6,1]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [[1,2,3,5,7],[4],[6]] => [4,2,1]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4]] => [4,3]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [3,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [[1,4,7],[2,5],[3,6]] => [3,3,1]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [[1,4,6],[2,5],[3,7]] => [3,2,2]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [[1,4,7],[2,5],[3,6]] => [3,3,1]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [2,5]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => [2,4,1]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [[1,3,4,6],[2,5],[7]] => [2,3,2]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => [2,4,1]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [[1,3,4,6,7],[2,5]] => [2,3,2]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => [3,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [[1,2,4,7],[3,5],[6]] => [3,3,1]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [[1,2,4,6],[3,5],[7]] => [3,2,2]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [[1,2,4,7],[3,5],[6]] => [3,3,1]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [[1,2,4,6,7],[3,5]] => [3,2,2]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [2,5]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => [2,4,1]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [[1,3,4,6],[2,5],[7]] => [2,3,2]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => [2,4,1]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [[1,3,4,6,7],[2,5]] => [2,3,2]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [7]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6]] => [6,1]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [[1,2,3,4,6],[5],[7]] => [5,2]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [[1,2,3,4,7],[5],[6]] => [6,1]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5]] => [5,2]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => [4,3]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => [3,4]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => [2,2,3]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [[1,3,5,7],[2,6],[4]] => [2,2,2,1]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => [3,4]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [[1,3,4,5],[2,6],[7]] => [2,5]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [[1,3,4,5,7],[2,6]] => [2,4,1]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => [4,3]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [[1,2,5,7],[3,6],[4]] => [4,2,1]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [[1,2,4,5],[3,6],[7]] => [3,4]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [[1,2,4,5,7],[3,6]] => [3,3,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => [2,2,3]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [[1,3,5,7],[2,4,6]] => [2,2,2,1]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => [4,3]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [[1,2,3,5,7],[4,6]] => [4,2,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => [3,4]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => [2,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [[1,3,4,5,7],[2,6]] => [2,4,1]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => [3,4]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [[1,2,4,5,7],[3,6]] => [3,3,1]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => [2,5]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [[1,3,4,5,7],[2,6]] => [2,4,1]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => [7]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6]] => [6,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => [5,2]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [[1,4,6],[2,7],[3],[5]] => [3,2,2]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [[1,4,5,6],[2,7],[3]] => [3,4]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => [2,3,2]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [[1,3,5,6],[2,7],[4]] => [2,2,3]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,2]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [[1,3,4,6],[2,7],[5]] => [2,3,2]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => [3,4]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [[1,3,5,6],[2,7],[4]] => [2,2,3]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => [3,4]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [[1,3,4,5,6],[2,7]] => [2,5]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => [5,2]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [[1,2,4,6],[3,7],[5]] => [3,2,2]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [[1,2,4,5,6],[3,7]] => [3,4]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => [2,3,2]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [[1,3,5,6],[2,4,7]] => [2,2,3]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => [5,2]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [[1,2,3,5,6],[4,7]] => [4,3]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3]] => [3,2,2]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,3,2]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => [3,2,2]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => [2,3,2]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => [5,2]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => [4,3]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => [3,4]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => [2,2,3]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => [3,4]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,5]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => [4,3]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [[1,2,4,5,6],[3,7]] => [3,4]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7]] => [2,2,3]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]] => [4,3]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => [3,4]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,5]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => [3,4]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [2,5]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => [7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => [6,1]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [3,3,1]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [[1,3,5,7],[2,6],[4]] => [2,2,2,1]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [[1,3,4,5,7],[2],[6]] => [2,4,1]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2]] => [2,5]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,1]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [[1,2,5,7],[3],[4],[6]] => [4,2,1]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => [3,3,1]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [[1,2,5,7],[3,6],[4]] => [4,2,1]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [[1,2,4,5,7],[3],[6]] => [3,3,1]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [[1,2,4,5,6,7],[3]] => [3,4]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [2,4,1]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => [2,3,2]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [[1,3,5,7],[2,4],[6]] => [2,2,2,1]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [2,3,2]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [[1,3,5,6,7],[2,4]] => [2,2,3]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,1]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [[1,2,3,5,7],[4],[6]] => [4,2,1]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [[1,2,3,5,6,7],[4]] => [4,3]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6]] => [3,3,1]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => [2,4,1]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [[1,3,4,6,7],[2,5]] => [2,3,2]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => [3,3,1]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [[1,2,4,6,7],[3,5]] => [3,2,2]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => [2,4,1]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [[1,3,4,6,7],[2,5]] => [2,3,2]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]] => [6,1]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5]] => [5,2]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => [4,2,1]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => [2,2,2,1]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,4,1]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => [4,2,1]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,3,1]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => [2,2,2,1]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => [4,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3]] => [3,3,1]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,4,1]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => [3,3,1]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [2,4,1]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => [6,1]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => [5,2]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2]] => [2,5]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3]] => [3,4]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [2,3,2]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [[1,3,5,6,7],[2,4]] => [2,2,3]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [[1,2,3,5,6,7],[4]] => [4,3]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3]] => [3,2,2]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,3,2]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => [3,2,2]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [2,3,2]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => [5,2]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => [4,3]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,5]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,4]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => [2,2,3]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [4,3]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => [3,4]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,5]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [3,4]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => [2,5]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => [7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [6,2]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [5,3]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [5,3]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [4,4]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [4,2,2]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [[1,5,7],[2,8],[3],[4],[6]] => [4,2,2]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [3,5]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [3,3,2]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [3,2,3]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => [4,4]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [[1,5,8],[2,6],[3],[4],[7]] => [4,3,1]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,3]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [[1,4,5,6,8],[2],[3],[7]] => [3,4,1]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,2]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [[1,4,7],[2,8],[3],[5],[6]] => [3,3,2]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,2,2]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [[1,5,8],[2,6],[3],[4],[7]] => [4,3,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [[1,4,5,6,8],[2],[3],[7]] => [3,4,1]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [2,6]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [2,4,2]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [[1,3,6],[2],[4],[5],[7],[8]] => [2,3,3]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => [2,2,4]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => [2,2,3,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => [2,2,2,2]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [[1,3,6],[2,7],[4],[5],[8]] => [2,3,3]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [[1,3,6,8],[2,7],[4],[5]] => [2,3,2,1]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [[1,3,5,6,8],[2],[4],[7]] => [2,2,3,1]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [[1,3,7],[2,8],[4],[5],[6]] => [2,4,2]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [[1,3,6,7],[2,8],[4],[5]] => [2,3,3]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => [2,2,2,2]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [[1,3,5,6,7],[2],[4],[8]] => [2,2,4]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [[1,3,6,8],[2,7],[4],[5]] => [2,3,2,1]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => [3,5]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => [3,4,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [[1,4,7],[2,5],[3],[6],[8]] => [3,3,2]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [3,2,2,1]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => [3,2,2,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [2,6]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [[1,3,4,7],[2,8],[5],[6]] => [2,4,2]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [[1,3,4,6,7],[2],[5],[8]] => [2,3,3]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => [4,4]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [3,5]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [[1,4,5,8],[2,6],[3],[7]] => [3,4,1]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => [2,2,4]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => [2,2,2,2]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => [3,5]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [2,6]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [[1,3,4,5,7],[2],[6],[8]] => [2,4,2]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => [5,3]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => [2,3,3]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [[1,3,6,8],[2,7],[4],[5]] => [2,3,2,1]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [[1,3,5,6,8],[2,7],[4]] => [2,2,3,1]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,2,1]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [[1,3,4,6,8],[2,7],[5]] => [2,3,2,1]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => [4,4]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [[1,4,5,6],[2,7],[3],[8]] => [3,5]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [2,6]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,2]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [[1,5,7],[2,8],[3],[4],[6]] => [4,2,2]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [[1,4,6,7],[2,8],[3],[5]] => [3,2,3]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,2,2]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [[1,3,7],[2,8],[4],[5],[6]] => [2,4,2]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [[1,3,5,7],[2,8],[4],[6]] => [2,2,2,2]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [2,2,4]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [[1,4,7],[2,5,8],[3],[6]] => [3,3,2]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [[1,3,4,6,7],[2,8],[5]] => [2,3,3]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => [4,2,2]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [[1,3,5,7],[2,6,8],[4]] => [2,2,2,2]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [[1,4,5,7],[2,6,8],[3]] => [3,3,2]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [[1,3,4,5,7],[2,8],[6]] => [2,4,2]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [2,2,4]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [[1,4,6,7],[2,5,8],[3]] => [3,2,3]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [[1,3,5,6,7],[2,8],[4]] => [2,2,4]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [[1,3,4,5,6,7],[2],[8]] => [2,6]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [[1,5,8],[2,6],[3],[4],[7]] => [4,3,1]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [[1,4,5,6,8],[2],[3],[7]] => [3,4,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [[1,4,8],[2,5],[3],[6],[7]] => [3,4,1]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [3,3,2]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => [3,2,2,1]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => [3,3,2]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,1]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [3,4,1]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => [2,2,3,1]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => [3,4,1]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => [3,2,2,1]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [[1,3,4,6,8],[2,7],[5]] => [2,3,2,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => [6,2]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => [5,3]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [[1,2,6,8],[3],[4],[5],[7]] => [5,2,1]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => [4,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [4,3,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => [4,2,2]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [[1,2,6,8],[3,7],[4],[5]] => [5,2,1]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [[1,2,5,6],[3],[4],[7],[8]] => [4,4]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [[1,2,5,7],[3,8],[4],[6]] => [4,2,2]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => [4,3,1]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => [3,5]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [[1,2,4,8],[3],[5],[6],[7]] => [3,4,1]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [[1,2,4,7],[3],[5],[6],[8]] => [3,3,2]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => [3,2,3]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [[1,2,4,6,8],[3],[5],[7]] => [3,2,2,1]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [[1,2,4,6,7],[3],[5],[8]] => [3,2,3]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [[1,2,4,6,7,8],[3],[5]] => [3,2,3]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => [4,4]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [4,3,1]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [[1,2,5,7],[3,6],[4],[8]] => [4,2,2]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => [4,3,1]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [[1,2,5,7,8],[3,6],[4]] => [4,2,2]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => [3,5]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [[1,2,4,5,8],[3],[6],[7]] => [3,4,1]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [[1,2,4,5,7,8],[3],[6]] => [3,3,2]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [[1,2,6],[3,7],[4,8],[5]] => [5,3]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => [4,4]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => [3,2,3]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [[1,2,4,5,6],[3],[7],[8]] => [3,5]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [[1,2,4,5,6,8],[3],[7]] => [3,4,1]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [[1,2,7],[3,8],[4],[5],[6]] => [6,2]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,3]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [[1,2,5,7],[3,8],[4],[6]] => [4,2,2]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [[1,2,5,6,7],[3,8],[4]] => [4,4]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => [4,2,2]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [[1,2,6,7],[3,8],[4],[5]] => [5,3]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [[1,2,5,6,7],[3,8],[4]] => [4,4]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [[1,2,4,5,6,7],[3],[8]] => [3,5]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [[1,2,4,6,7,8],[3],[5]] => [3,2,3]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [[1,2,4,5,7,8],[3],[6]] => [3,3,2]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [[1,2,4,6,8],[3,7],[5]] => [3,2,2,1]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [[1,2,4,5,6,8],[3],[7]] => [3,4,1]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [[1,2,5,7,8],[3,6],[4]] => [4,2,2]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [[1,2,4,5,7,8],[3],[6]] => [3,3,2]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [[1,2,4,5,6,7,8],[3]] => [3,5]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => [2,6]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => [2,4,2]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [[1,3,6],[2,4],[5],[7],[8]] => [2,3,3]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [[1,3,6,8],[2,4],[5],[7]] => [2,3,2,1]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [[1,3,7],[2,4,8],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [[1,3,6,7],[2,4],[5],[8]] => [2,3,3]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [[1,3,6,8],[2,4],[5],[7]] => [2,3,2,1]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => [2,2,4]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [[1,3,5,8],[2,4],[6],[7]] => [2,2,3,1]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => [2,2,2,2]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [[1,3,5,7,8],[2,4],[6]] => [2,2,2,2]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => [2,3,3]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [[1,3,6,8],[2,4,7],[5]] => [2,3,2,1]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => [2,2,4]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [[1,3,5,6,8],[2,4],[7]] => [2,2,3,1]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [[1,3,7],[2,4,8],[5],[6]] => [2,4,2]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [[1,3,6,7],[2,4,8],[5]] => [2,3,3]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => [2,2,2,2]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [[1,3,6,7],[2,4,8],[5]] => [2,3,3]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [[1,3,5,6,7],[2,4],[8]] => [2,2,4]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [[1,3,8],[2,4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [2,4,2]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [[1,3,6,8],[2,4],[5],[7]] => [2,3,2,1]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => [2,4,2]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [[1,3,5,8],[2,4],[6],[7]] => [2,2,3,1]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [[1,3,5,7,8],[2,4],[6]] => [2,2,2,2]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [[1,3,6,8],[2,4,7],[5]] => [2,3,2,1]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [[1,3,5,6,7,8],[2,4]] => [2,2,4]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,1]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,2]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [[1,2,3,6],[4],[5],[7],[8]] => [5,3]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [[1,2,3,7],[4,8],[5],[6]] => [6,2]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [[1,2,3,6,7],[4],[5],[8]] => [5,3]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,1]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [[1,2,3,6,8],[4],[5],[7]] => [5,2,1]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,2]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => [4,4]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [[1,2,3,5,8],[4],[6],[7]] => [4,3,1]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [[1,2,3,5,7],[4],[6],[8]] => [4,2,2]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [[1,2,3,5,7,8],[4],[6]] => [4,2,2]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => [5,3]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [[1,2,3,5,6],[4],[7],[8]] => [4,4]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [[1,2,3,5,6,8],[4],[7]] => [4,3,1]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [[1,2,3,6,7],[4,8],[5]] => [5,3]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [[1,2,3,5,6,7],[4],[8]] => [4,4]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => [7,1]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [[1,2,3,6,8],[4],[5],[7]] => [5,2,1]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [[1,2,3,5,8],[4],[6],[7]] => [4,3,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [[1,2,3,6,8],[4,7],[5]] => [5,2,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [[1,2,3,7,8],[4],[5],[6]] => [6,2]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [[1,2,3,5,6,7,8],[4]] => [4,4]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => [3,5]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [3,4,1]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [[1,4,7],[2,5],[3,6],[8]] => [3,3,2]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [[1,4,8],[2,5],[3,6],[7]] => [3,4,1]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => [3,3,2]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [[1,4,6],[2,5],[3,7],[8]] => [3,2,3]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => [3,2,2,1]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [[1,4,7],[2,5,8],[3,6]] => [3,3,2]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [[1,4,6,7],[2,5],[3,8]] => [3,2,3]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => [3,4,1]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,3,2]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [[1,4,6,8],[2,5],[3,7]] => [3,2,2,1]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [[1,4,7,8],[2,5],[3,6]] => [3,3,2]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [2,6]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [[1,3,4,8],[2,5],[6],[7]] => [2,5,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [2,4,2]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [[1,3,4,8],[2,5],[6],[7]] => [2,5,1]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [[1,3,4,7,8],[2,5],[6]] => [2,4,2]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [[1,3,4,6,8],[2,5],[7]] => [2,3,2,1]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [2,4,2]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [[1,3,4,8],[2,5],[6],[7]] => [2,5,1]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [[1,3,4,7,8],[2,5],[6]] => [2,4,2]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [[1,3,4,6,8],[2,5],[7]] => [2,3,2,1]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [[1,3,4,6,7,8],[2,5]] => [2,3,3]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => [3,5]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [[1,2,4,7],[3,5],[6],[8]] => [3,3,2]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => [3,4,1]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [[1,2,4,7,8],[3,5],[6]] => [3,3,2]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => [3,2,3]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [[1,2,4,6,8],[3,5],[7]] => [3,2,2,1]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [[1,2,4,7],[3,5,8],[6]] => [3,3,2]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [[1,2,4,6,7],[3,5],[8]] => [3,2,3]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => [3,4,1]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [[1,2,4,7,8],[3,5],[6]] => [3,3,2]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => [3,3,2]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [[1,2,4,6,7,8],[3,5]] => [3,2,3]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => [2,6]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [[1,3,4,8],[2,5],[6],[7]] => [2,5,1]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => [2,4,2]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [[1,3,4,7,8],[2,5],[6]] => [2,4,2]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => [2,4,2]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [[1,3,4,6,7,8],[2,5]] => [2,3,3]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [[1,2,3,4,7],[5],[6],[8]] => [6,2]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,1]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [[1,2,3,4,7,8],[5],[6]] => [6,2]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => [5,3]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [[1,2,3,4,6,8],[5],[7]] => [5,2,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [[1,2,3,4,7],[5,8],[6]] => [6,2]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [[1,2,3,4,6,7],[5],[8]] => [5,3]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => [7,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [[1,2,3,4,7,8],[5],[6]] => [6,2]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [[1,2,3,4,6,8],[5],[7]] => [5,2,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [[1,2,3,4,7,8],[5],[6]] => [6,2]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [[1,2,3,4,6,7,8],[5]] => [5,3]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => [4,4]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,1]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [[1,5,7],[2,6],[3,8],[4]] => [4,2,2]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,1]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [3,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,3,2]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => [2,2,4]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [[1,3,5,8],[2,6],[4,7]] => [2,2,3,1]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [[1,3,5,7],[2,6],[4,8]] => [2,2,2,2]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [[1,3,5,8],[2,6],[4,7]] => [2,2,3,1]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [3,5]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,3,2]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [2,6]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [[1,3,4,5,7],[2,6],[8]] => [2,4,2]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [[1,2,5],[3,6],[4,7],[8]] => [4,4]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [[1,2,5,7],[3,6],[4,8]] => [4,2,2]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => [4,3,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [[1,2,5,7,8],[3,6],[4]] => [4,2,2]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [3,5]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [[1,2,4,5,8],[3,6],[7]] => [3,4,1]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [[1,2,4,5,7],[3,6],[8]] => [3,3,2]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [3,4,1]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [[1,2,4,5,7,8],[3,6]] => [3,3,2]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => [2,2,4]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [[1,3,5,8],[2,4,6],[7]] => [2,2,3,1]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [[1,3,5,7],[2,4,6],[8]] => [2,2,2,2]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => [2,2,3,1]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [[1,3,5,7,8],[2,4,6]] => [2,2,2,2]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => [4,4]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [[1,2,3,5,8],[4,6],[7]] => [4,3,1]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => [4,3,1]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [[1,2,3,5,7,8],[4,6]] => [4,2,2]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => [3,5]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => [3,3,2]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [2,6]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => [3,5]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [[1,2,4,5,7],[3,6],[8]] => [3,3,2]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => [3,4,1]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [[1,2,4,5,7,8],[3,6]] => [3,3,2]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => [2,6]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => [8]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [[1,2,3,4,5,8],[6],[7]] => [7,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [[1,2,3,4,5,7],[6],[8]] => [6,2]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [[1,2,3,4,5,8],[6],[7]] => [7,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [[1,2,3,4,5,7,8],[6]] => [6,2]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => [5,3]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,4]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [[1,4,6],[2,7],[3,8],[5]] => [3,2,3]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,4]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,5]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [[1,3,6],[2,7],[4,8],[5]] => [2,3,3]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [2,2,4]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [[1,3,5,6,8],[2,7],[4]] => [2,2,3,1]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [[1,4,6],[2,5,7],[3,8]] => [3,2,3]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [[1,4,6,8],[2,5,7],[3]] => [3,2,2,1]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => [2,3,3]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,4]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,5]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [2,2,4]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [[1,3,5,6,8],[2,7],[4]] => [2,2,3,1]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,5]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [[1,3,4,5,6],[2,7],[8]] => [2,6]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [[1,2,6],[3,7],[4,8],[5]] => [5,3]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [[1,2,6,8],[3,7],[4],[5]] => [5,2,1]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,4]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => [3,2,2,1]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [[1,2,4,5,6],[3,7],[8]] => [3,5]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,4,1]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => [2,2,4]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => [5,3]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [[1,2,3,6,8],[4,7],[5]] => [5,2,1]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => [4,4]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,3,1]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => [3,2,3]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [[1,2,4,6,8],[3,5,7]] => [3,2,2,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [[1,3,4,6],[2,5,7],[8]] => [2,3,3]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [[1,3,4,6,8],[2,5,7]] => [2,3,2,1]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [[1,2,3,4,6],[5,7],[8]] => [5,3]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [[1,2,3,4,6,8],[5,7]] => [5,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => [4,4]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => [2,2,4]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,5]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [[1,3,4,5,6],[2,7],[8]] => [2,6]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => [4,4]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,4,1]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => [2,2,4]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [[1,3,5,6,8],[2,4,7]] => [2,2,3,1]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => [4,4]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [[1,2,3,5,6,8],[4,7]] => [4,3,1]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => [3,5]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [[1,2,4,5,6],[3,7],[8]] => [3,5]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [[1,2,4,5,6,8],[3,7]] => [3,4,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [[1,3,4,5,6],[2,7],[8]] => [2,6]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8]] => [8]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,8],[7]] => [7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,2]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [[1,5,7],[2,8],[3],[4],[6]] => [4,2,2]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => [3,3,2]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [3,2,3]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,2,2]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [[1,4,5,7],[2,8],[3],[6]] => [3,3,2]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [[1,3,7],[2,8],[4],[5],[6]] => [2,4,2]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [[1,3,6,7],[2,8],[4],[5]] => [2,3,3]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => [2,2,2,2]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => [3,3,2]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,3]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => [2,4,2]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [[1,3,4,6,7],[2,8],[5]] => [2,3,3]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,2,2]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,3,2]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [[1,3,5,7],[2,6,8],[4]] => [2,2,2,2]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [[1,3,6,7],[2,8],[4],[5]] => [2,3,3]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [[1,3,5,6,7],[2,8],[4]] => [2,2,4]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,3]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [[1,3,5,6,7],[2,8],[4]] => [2,2,4]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,6]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => [6,2]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,3]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => [5,3]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [[1,2,4,7],[3,8],[5],[6]] => [3,3,2]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,5]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => [2,4,2]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [2,3,3]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => [2,2,2,2]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => [2,3,3]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,2,4]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [[1,2,3,5,6,7],[4,8]] => [4,4]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => [2,4,2]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => [3,3,2]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [[1,2,4,6,7],[3,5,8]] => [3,2,3]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [[1,3,4,6,7],[2,5,8]] => [2,3,3]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [[1,2,3,4,7],[5,8],[6]] => [6,2]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,3]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [[1,5,7],[2,6,8],[3],[4]] => [4,2,2]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,3,2]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => [2,2,2,2]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => [3,3,2]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,4,2]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,3,2]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => [2,2,2,2]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [[1,2,3,5,7],[4,6,8]] => [4,2,2]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,4,2]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [[1,2,4,5,7],[3,6,8]] => [3,3,2]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => [2,4,2]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [[1,2,3,4,5,7],[6,8]] => [6,2]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => [5,3]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [[1,4,6,7],[2,8],[3],[5]] => [3,2,3]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [[1,3,6,7],[2,8],[4],[5]] => [2,3,3]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [[1,3,5,6,7],[2,8],[4]] => [2,2,4]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [[1,4,6,7],[2,5,8],[3]] => [3,2,3]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [[1,3,4,6,7],[2,8],[5]] => [2,3,3]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,6]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [[1,2,5,6,7],[3,8],[4]] => [4,4]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [[1,2,4,6,7],[3,8],[5]] => [3,2,3]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,2,4]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [[1,2,3,6,7],[4,8],[5]] => [5,3]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [[1,2,3,4,6,7],[5,8]] => [5,3]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => [4,4]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,6]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [[1,2,5,6,7],[3,8],[4]] => [4,4]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,5]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [[1,3,5,6,7],[2,4,8]] => [2,2,4]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [[1,2,3,5,6,7],[4,8]] => [4,4]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => [3,5]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,6]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => [3,5]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => [2,6]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => [8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [[1,5,8],[2,6],[3],[4],[7]] => [4,3,1]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [[1,3,6,8],[2],[4],[5],[7]] => [2,3,2,1]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => [3,4,1]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [3,3,2]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => [3,2,2,1]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [3,3,2]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,2,1]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [[1,4,7,8],[2,5],[3],[6]] => [3,3,2]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => [4,3,1]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [[1,2,4,6,8],[3],[5],[7]] => [3,2,2,1]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [[1,2,4,6,7,8],[3],[5]] => [3,2,3]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [[1,2,4,5,7,8],[3],[6]] => [3,3,2]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [[1,2,4,6,8],[3,7],[5]] => [3,2,2,1]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [[1,2,4,5,6,8],[3],[7]] => [3,4,1]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [[1,2,4,7,8],[3],[5],[6]] => [3,3,2]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [[1,2,4,5,6,7,8],[3]] => [3,5]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [[1,3,8],[2,4],[5],[6],[7]] => [2,5,1]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [[1,3,7,8],[2,4],[5],[6]] => [2,4,2]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [[1,3,5,6,7,8],[2,4]] => [2,2,4]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,1]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [[1,2,3,7,8],[4],[5],[6]] => [6,2]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [[1,2,3,6,8],[4],[5],[7]] => [5,2,1]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [[1,2,3,5,7,8],[4],[6]] => [4,2,2]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [[1,2,3,5,6,7,8],[4]] => [4,4]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => [3,4,1]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => [3,2,2,1]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [[1,3,4,7,8],[2,5],[6]] => [2,4,2]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [[1,3,4,6,7,8],[2,5]] => [2,3,3]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => [3,4,1]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [[1,2,4,7,8],[3,5],[6]] => [3,3,2]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => [3,2,2,1]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [[1,2,4,6,7,8],[3,5]] => [3,2,3]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [[1,3,4,7,8],[2,5],[6]] => [2,4,2]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,1]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [[1,2,3,4,7,8],[5],[6]] => [6,2]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [[1,2,3,4,6,8],[5],[7]] => [5,2,1]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [[1,2,3,4,7,8],[5],[6]] => [6,2]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [[1,2,3,4,6,7,8],[5]] => [5,3]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,1]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [[1,3,4,5,8],[2,6],[7]] => [2,5,1]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => [4,3,1]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [[1,2,5,7,8],[3,6],[4]] => [4,2,2]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [[1,2,4,5,7,8],[3,6]] => [3,3,2]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [[1,2,3,5,7,8],[4,6]] => [4,2,2]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => [3,4,1]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [[1,2,4,5,8],[3,6],[7]] => [3,4,1]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,1]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [[1,2,3,4,5,7,8],[6]] => [6,2]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [[1,6,8],[2,7],[3],[4],[5]] => [5,2,1]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [[1,4,6,8],[2,7],[3],[5]] => [3,2,2,1]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [[1,3,5,6,8],[2,7],[4]] => [2,2,3,1]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,2,1]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [[1,2,6,8],[3,7],[4],[5]] => [5,2,1]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => [3,2,2,1]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,4,1]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [[1,3,6,8],[2,4,7],[5]] => [2,3,2,1]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,3,1]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => [3,2,2,1]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [[1,3,4,6,8],[2,5,7]] => [2,3,2,1]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => [3,2,2,1]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [[1,2,3,4,6,8],[5,7]] => [5,2,1]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,1]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [[1,4,5,6,8],[2,7],[3]] => [3,4,1]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [[1,2,5,6,8],[3,7],[4]] => [4,3,1]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,4,1]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => [4,3,1]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => [3,4,1]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [[1,3,4,5,6,8],[2,7]] => [2,5,1]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [[1,2,3,4,5,6,8],[7]] => [7,1]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [[1,2,4,6,7,8],[3],[5]] => [3,2,3]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [[1,2,5,7,8],[3,6],[4]] => [4,2,2]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,5]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [[1,3,5,7,8],[2,4],[6]] => [2,2,2,2]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [[1,2,3,7,8],[4],[5],[6]] => [6,2]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [[1,2,3,5,7,8],[4],[6]] => [4,2,2]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [[1,2,3,5,6,7,8],[4]] => [4,4]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [[1,3,4,7,8],[2,5],[6]] => [2,4,2]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,3,3]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [[1,2,4,7,8],[3,5],[6]] => [3,3,2]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,2,3]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [[1,2,3,4,7,8],[5],[6]] => [6,2]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,3]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [[1,5,7,8],[2,6],[3],[4]] => [4,2,2]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [[1,3,5,7,8],[2,6],[4]] => [2,2,2,2]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [[1,4,5,7,8],[2,6],[3]] => [3,3,2]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => [2,2,2,2]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => [4,2,2]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [[1,2,4,5,7,8],[3,6]] => [3,3,2]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => [2,4,2]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [[1,2,3,4,5,7,8],[6]] => [6,2]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => [5,3]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [[1,4,6,7,8],[2,5],[3]] => [3,2,3]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,5]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => [2,3,3]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,2,4]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => [5,3]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [[1,3,4,6,7,8],[2,5]] => [2,3,3]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => [3,2,3]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [[1,2,3,4,6,7,8],[5]] => [5,3]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => [4,4]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,5]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => [2,2,4]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => [4,4]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => [3,5]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => [3,5]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => [2,6]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => [8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2]] => [2,7]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9]] => [9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [7,2]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [[1,4,6,7,8,9],[2],[3],[5]] => [3,2,4]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,6]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1] => [[1,3,5,6,7,8,9],[2],[4]] => [2,2,5]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,7]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [[1,2,4,5,6,7,8,9],[3]] => [3,6]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,8]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [[1,2,3,4,5,6,7,8,9,10]] => [10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [6,2,1]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,1]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,4]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,2,2,2,2]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,2,2,2,2,2]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9]] => [9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,7]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,8]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,7]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [[1,3,5,6,7,8,9],[2],[4]] => [2,2,5]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,7]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [[1,2,3,4,5,6,7,9],[8]] => [8,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [[1,2,3,4,5,6,9],[7],[8]] => [8,1]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,2]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,3]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,4]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,5]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [[1,2,5,6,7,8,9],[3],[4]] => [4,5]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,6]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,7]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,2]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,1]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => [5,5]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,7]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,2]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,6]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3],[4]] => [4,5]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,7]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,6]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,8]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [2,7]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [2,7]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [2,8]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,7]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,7]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [[1,3,4,5,6,7,8,9],[2]] => [2,7]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,8]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [[1,3,5,6,7,8,9],[2],[4]] => [2,2,5]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,8]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,7]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,6]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,5]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,4]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,3]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,2]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,6]
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]] => [5,4,3,2,6,7,8,9,10,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]] => [6,5,4,3,2,7,8,9,10,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]] => [7,6,5,4,3,2,8,9,10,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,2]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,6]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,6]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.] => [6,5,4,7,8,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.] => [6,5,4,3,7,8,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [7,6,8,9,5,4,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.] => [7,6,5,8,9,4,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[.,[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]],.] => [7,6,5,4,8,9,3,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]],.] => [7,6,5,4,3,8,9,2,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [7,6,5,4,3,2,8,9,1,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,3]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,9,8,10,7,6,5,4,3,2] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,7]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [6,7,5,8,4,3,2,1,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [[1,3,4,6,7,8,9],[2,5]] => [2,3,4]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [2,7]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [[1,3,4,5,6,7,8],[2,9]] => [2,7]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3]] => [3,6]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,2]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2] => [[1,2,5,6,7,8,9],[3],[4]] => [4,5]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => [[1,3,4,6,7,8,9],[2,5]] => [2,3,4]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [5,6,4,3,2,7,1,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
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 insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion 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 insertion 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 insertion tableau.
Map
valley composition
Description
The composition corresponding to the valley set of a standard tableau.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a valley if $i-1$ is a descent and $i$ is an ascent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the valley set of $T$.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a valley if $i-1$ is a descent and $i$ is an ascent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the valley set of $T$.
searching the database
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