Identifier
Mp00014:
Binary trees
—to 132-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]
[[.,.],[.,.]] => [3,1,2] => [[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]
[.,[[.,.],[.,.]]] => [4,2,3,1] => [[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]
[[.,.],[.,[.,.]]] => [4,3,1,2] => [[1,2],[3],[4]] => [4]
[[.,.],[[.,.],.]] => [3,4,1,2] => [[1,2],[3,4]] => [3,1]
[[.,[.,.]],[.,.]] => [4,2,1,3] => [[1,3],[2],[4]] => [2,2]
[[[.,.],.],[.,.]] => [4,1,2,3] => [[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]
[[[.,.],[.,.]],.] => [3,1,2,4] => [[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]
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [[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]
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [[1,3],[2],[4],[5]] => [2,3]
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [[1,3],[2,5],[4]] => [2,2,1]
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [[1,4],[2],[3],[5]] => [3,2]
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [[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]
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [[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]
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [[1,2],[3],[4],[5]] => [5]
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [[1,2],[3,5],[4]] => [4,1]
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [[1,2],[3,4],[5]] => [3,2]
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [[1,2],[3,5],[4]] => [4,1]
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [[1,2,5],[3,4]] => [3,2]
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [[1,3],[2],[4],[5]] => [2,3]
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [[1,3],[2,5],[4]] => [2,2,1]
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [[1,2,3],[4],[5]] => [5]
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [[1,2,3],[4,5]] => [4,1]
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [[1,4],[2],[3],[5]] => [3,2]
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [[1,3,4],[2],[5]] => [2,3]
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [[1,2,4],[3],[5]] => [3,2]
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [[1,3,4],[2],[5]] => [2,3]
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [[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]
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [[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]
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [[1,2,5],[3],[4]] => [4,1]
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [[1,2,5],[3,4]] => [3,2]
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [[1,3,5],[2],[4]] => [2,2,1]
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [[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]
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [[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]
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [[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]
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => [3,3]
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [[1,4],[2,6],[3],[5]] => [3,2,1]
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6]] => [4,2]
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [[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]
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [[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]
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6]] => [2,4]
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [[1,3],[2,6],[4],[5]] => [2,3,1]
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => [2,2,2]
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [[1,3],[2,6],[4],[5]] => [2,3,1]
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [[1,3,6],[2,5],[4]] => [2,2,2]
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6]] => [3,3]
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [[1,4],[2,6],[3],[5]] => [3,2,1]
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [[1,3,4],[2],[5],[6]] => [2,4]
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [[1,3,4],[2,6],[5]] => [2,3,1]
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => [4,2]
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [3,3]
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [[1,3,5],[2],[4],[6]] => [2,2,2]
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => [3,3]
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [[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]
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [[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]
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [[1,3,6],[2,5],[4]] => [2,2,2]
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [[1,3,4,6],[2],[5]] => [2,3,1]
>>> Load all 1730 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]
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [[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]
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6]] => [6]
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => [5,1]
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [[1,2],[3,5],[4],[6]] => [4,2]
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [[1,2],[3,6],[4],[5]] => [5,1]
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [[1,2,6],[3,5],[4]] => [4,2]
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [[1,2],[3,4],[5],[6]] => [3,3]
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => [3,2,1]
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [[1,2],[3,5],[4],[6]] => [4,2]
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [[1,2,5],[3,4],[6]] => [3,3]
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [[1,2],[3,6],[4],[5]] => [5,1]
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [[1,2,6],[3,5],[4]] => [4,2]
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [[1,2,6],[3,4],[5]] => [3,2,1]
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [[1,2,6],[3,5],[4]] => [4,2]
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [[1,2,5,6],[3,4]] => [3,3]
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6]] => [2,4]
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [[1,3],[2,6],[4],[5]] => [2,3,1]
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [[1,3],[2,5],[4],[6]] => [2,2,2]
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => [2,3,1]
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [[1,3,6],[2,5],[4]] => [2,2,2]
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [[1,2,3],[4],[5],[6]] => [6]
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [[1,2,3],[4,6],[5]] => [5,1]
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [[1,2,3],[4,5],[6]] => [4,2]
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [[1,2,3],[4,6],[5]] => [5,1]
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => [4,2]
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6]] => [3,3]
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [[1,4],[2,6],[3],[5]] => [3,2,1]
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [[1,3,4],[2],[5],[6]] => [2,4]
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [[1,3,4],[2,6],[5]] => [2,3,1]
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [[1,2,4],[3],[5],[6]] => [3,3]
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [[1,2,4],[3,6],[5]] => [3,2,1]
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [[1,3,4],[2],[5],[6]] => [2,4]
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [[1,3,4],[2,6],[5]] => [2,3,1]
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [[1,2,3,4],[5],[6]] => [6]
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [[1,2,3,4],[5,6]] => [5,1]
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6]] => [4,2]
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [3,3]
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [[1,3,5],[2],[4],[6]] => [2,2,2]
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [[1,4,5],[2],[3],[6]] => [3,3]
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [[1,3,4,5],[2],[6]] => [2,4]
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [[1,2,5],[3],[4],[6]] => [4,2]
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [[1,2,5],[3,4],[6]] => [3,3]
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [[1,3,5],[2],[4],[6]] => [2,2,2]
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [[1,2,3,5],[4],[6]] => [4,2]
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [[1,4,5],[2],[3],[6]] => [3,3]
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [[1,3,4,5],[2],[6]] => [2,4]
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [[1,2,4,5],[3],[6]] => [3,3]
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [[1,3,4,5],[2],[6]] => [2,4]
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [[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]
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [[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]
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [[1,3,6],[2,5],[4]] => [2,2,2]
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [[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]
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [[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]
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [[1,2,6],[3],[4],[5]] => [5,1]
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => [4,2]
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [[1,2,6],[3,4],[5]] => [3,2,1]
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [[1,2,6],[3,5],[4]] => [4,2]
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [[1,2,5,6],[3,4]] => [3,3]
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [[1,3,6],[2],[4],[5]] => [2,3,1]
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [[1,3,6],[2,5],[4]] => [2,2,2]
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [[1,2,3,6],[4],[5]] => [5,1]
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [[1,2,3,6],[4,5]] => [4,2]
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [[1,4,6],[2],[3],[5]] => [3,2,1]
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [[1,3,4,6],[2],[5]] => [2,3,1]
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [[1,2,4,6],[3],[5]] => [3,2,1]
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [[1,3,4,6],[2],[5]] => [2,3,1]
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [[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]
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [[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]
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [[1,2,5,6],[3],[4]] => [4,2]
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => [3,3]
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [[1,3,5,6],[2],[4]] => [2,2,2]
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [[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]
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [[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]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [[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]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [4,3]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [[1,5],[2,7],[3],[4],[6]] => [4,2,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [5,2]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [[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]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [[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]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [3,4]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [3,3,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => [3,2,2]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [3,3,1]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [4,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [4,2,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [3,3,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [5,2]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [[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]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [[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]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [[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]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [[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]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [2,5]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [2,4,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => [2,3,2]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [2,4,1]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [[1,3],[2,5],[4],[6],[7]] => [2,2,3]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6]] => [2,2,2,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => [2,3,2]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [[1,3,6],[2,5],[4],[7]] => [2,2,3]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [2,4,1]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6]] => [2,2,2,1]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6],[7]] => [3,4]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [3,3,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => [3,2,2]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [3,3,1]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [2,5]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [2,4,1]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7]] => [2,3,2]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [2,4,1]
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5]] => [2,3,2]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6],[7]] => [4,3]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [4,2,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [3,3,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [[1,3,5],[2],[4],[6],[7]] => [2,2,3]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [[1,3,5],[2,7],[4],[6]] => [2,2,2,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [3,3,1]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [2,5]
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [2,4,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => [5,2]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [[1,3,6],[2],[4],[5],[7]] => [2,3,2]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [[1,3,6],[2,5],[4],[7]] => [2,2,3]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [[1,3,4,6],[2],[5],[7]] => [2,3,2]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [[1,3,5,6],[2],[4],[7]] => [2,2,3]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [[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]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [[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]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [[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]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [[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]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [[1,3,7],[2,5],[4],[6]] => [2,2,2,1]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [2,3,2]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [[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]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [[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]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [[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]
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [[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]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7]] => [7]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [[1,2],[3,6],[4],[5],[7]] => [5,2]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,1]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [[1,2],[3,5],[4],[6],[7]] => [4,3]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [[1,2],[3,5],[4,7],[6]] => [4,2,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [[1,2],[3,6],[4],[5],[7]] => [5,2]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [[1,2,6],[3,5],[4],[7]] => [4,3]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,1]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [[1,2,7],[3,5],[4],[6]] => [4,2,1]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [[1,2],[3,4],[5],[6],[7]] => [3,4]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [3,3,1]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7]] => [3,2,2]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [[1,2],[3,4],[5,7],[6]] => [3,3,1]
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [[1,2,7],[3,4],[5,6]] => [3,2,2]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [[1,2],[3,5],[4],[6],[7]] => [4,3]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => [4,2,1]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [[1,2,5],[3,4],[6],[7]] => [3,4]
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => [3,3,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [[1,2],[3,6],[4],[5],[7]] => [5,2]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [[1,2,6],[3,5],[4],[7]] => [4,3]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [[1,2,6],[3,4],[5],[7]] => [3,2,2]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [[1,2,6],[3,5],[4],[7]] => [4,3]
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7]] => [3,4]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [[1,2],[3,7],[4],[5],[6]] => [6,1]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [[1,2,7],[3,5],[4],[6]] => [4,2,1]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [[1,2,7],[3,4],[5],[6]] => [3,3,1]
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [[1,2,7],[3,4],[5,6]] => [3,2,2]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [[1,2,7],[3,5],[4],[6]] => [4,2,1]
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [[1,2,5,7],[3,4],[6]] => [3,3,1]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [[1,2,6,7],[3,4],[5]] => [3,2,2]
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [[1,2,5,6,7],[3,4]] => [3,4]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7]] => [2,5]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [2,4,1]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7]] => [2,3,2]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [2,4,1]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [[1,3],[2,5],[4],[6],[7]] => [2,2,3]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [[1,3],[2,5],[4,7],[6]] => [2,2,2,1]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [[1,3],[2,6],[4],[5],[7]] => [2,3,2]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [[1,3,6],[2,5],[4],[7]] => [2,2,3]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [2,4,1]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [[1,3,7],[2,5],[4],[6]] => [2,2,2,1]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7]] => [7]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,1]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [[1,2,3],[4,6],[5],[7]] => [5,2]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,1]
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,2]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [[1,2,3],[4,5],[6],[7]] => [4,3]
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [[1,2,3],[4,5],[6,7]] => [4,2,1]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [[1,2,3],[4,6],[5],[7]] => [5,2]
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [[1,2,3],[4,5,6],[7]] => [4,3]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [6,1]
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,2]
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [[1,2,3],[4,5,7],[6]] => [4,2,1]
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [[1,2,3],[4,6,7],[5]] => [5,2]
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [[1,2,3,7],[4,5,6]] => [4,3]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6],[7]] => [3,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [3,3,1]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7]] => [3,2,2]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [3,3,1]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [2,5]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [2,4,1]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7]] => [2,3,2]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [2,4,1]
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [[1,3,4],[2,6,7],[5]] => [2,3,2]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [[1,2,4],[3],[5],[6],[7]] => [3,4]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [[1,2,4],[3,7],[5],[6]] => [3,3,1]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [[1,2,4],[3,6],[5],[7]] => [3,2,2]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [[1,2,4],[3,7],[5],[6]] => [3,3,1]
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [[1,2,4],[3,6,7],[5]] => [3,2,2]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [[1,3,4],[2],[5],[6],[7]] => [2,5]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [2,4,1]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7]] => [2,3,2]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [2,4,1]
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [[1,3,4],[2,6,7],[5]] => [2,3,2]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [7]
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,1]
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [[1,2,3,4],[5,6],[7]] => [5,2]
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [[1,2,3,4],[5,7],[6]] => [6,1]
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7]] => [5,2]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7]] => [4,3]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [4,2,1]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [3,3,1]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [[1,3,5],[2],[4],[6],[7]] => [2,2,3]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [[1,3,5],[2,7],[4],[6]] => [2,2,2,1]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [3,3,1]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [2,5]
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [2,4,1]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [[1,2,5],[3],[4],[6],[7]] => [4,3]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [[1,2,5],[3,7],[4],[6]] => [4,2,1]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [[1,2,5],[3,4],[6],[7]] => [3,4]
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [[1,2,5],[3,4],[6,7]] => [3,3,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [[1,3,5],[2],[4],[6],[7]] => [2,2,3]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [[1,3,5],[2,7],[4],[6]] => [2,2,2,1]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [[1,2,3,5],[4],[6],[7]] => [4,3]
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [[1,2,3,5],[4,7],[6]] => [4,2,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [[1,4,5],[2],[3],[6],[7]] => [3,4]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [3,3,1]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [2,5]
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [2,4,1]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [[1,2,4,5],[3],[6],[7]] => [3,4]
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [[1,2,4,5],[3,7],[6]] => [3,3,1]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [[1,3,4,5],[2],[6],[7]] => [2,5]
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [[1,3,4,5],[2,7],[6]] => [2,4,1]
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [7]
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [6,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5],[7]] => [5,2]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [[1,3,6],[2],[4],[5],[7]] => [2,3,2]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [[1,3,6],[2,5],[4],[7]] => [2,2,3]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [[1,3,4,6],[2],[5],[7]] => [2,3,2]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [[1,3,5,6],[2],[4],[7]] => [2,2,3]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [2,5]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [[1,2,6],[3],[4],[5],[7]] => [5,2]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [[1,2,6],[3,5],[4],[7]] => [4,3]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [[1,2,6],[3,4],[5],[7]] => [3,2,2]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [[1,2,6],[3,5],[4],[7]] => [4,3]
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [[1,2,5,6],[3,4],[7]] => [3,4]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [[1,3,6],[2],[4],[5],[7]] => [2,3,2]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [[1,3,6],[2,5],[4],[7]] => [2,2,3]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [[1,2,3,6],[4],[5],[7]] => [5,2]
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [[1,2,3,6],[4,5],[7]] => [4,3]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [[1,4,6],[2],[3],[5],[7]] => [3,2,2]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [[1,3,4,6],[2],[5],[7]] => [2,3,2]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [[1,2,4,6],[3],[5],[7]] => [3,2,2]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [[1,3,4,6],[2],[5],[7]] => [2,3,2]
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [[1,2,3,4,6],[5],[7]] => [5,2]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [[1,5,6],[2],[3],[4],[7]] => [4,3]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [[1,3,5,6],[2],[4],[7]] => [2,2,3]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [2,5]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [[1,2,5,6],[3],[4],[7]] => [4,3]
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [[1,2,5,6],[3,4],[7]] => [3,4]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [[1,3,5,6],[2],[4],[7]] => [2,2,3]
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [[1,2,3,5,6],[4],[7]] => [4,3]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [[1,4,5,6],[2],[3],[7]] => [3,4]
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [[1,3,4,5,6],[2],[7]] => [2,5]
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [[1,2,4,5,6],[3],[7]] => [3,4]
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [[1,3,4,5,6],[2],[7]] => [2,5]
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [[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]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [[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]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [[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]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [[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]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => [2,2,2,1]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [2,3,2]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [[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]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [[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]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [[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]
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [[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]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [[1,2,7],[3],[4],[5],[6]] => [6,1]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [[1,2,7],[3,5],[4],[6]] => [4,2,1]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [[1,2,7],[3,4],[5],[6]] => [3,3,1]
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => [3,2,2]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [[1,2,7],[3,5],[4],[6]] => [4,2,1]
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [[1,2,5,7],[3,4],[6]] => [3,3,1]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [5,2]
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [[1,2,6,7],[3,4],[5]] => [3,2,2]
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [[1,2,5,6,7],[3,4]] => [3,4]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [[1,3,7],[2],[4],[5],[6]] => [2,4,1]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [[1,3,7],[2,5],[4],[6]] => [2,2,2,1]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [2,3,2]
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [6,1]
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,2]
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [[1,2,3,7],[4,5],[6]] => [4,2,1]
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [[1,2,3,7],[4,6],[5]] => [5,2]
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => [4,3]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [[1,4,7],[2],[3],[5],[6]] => [3,3,1]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [3,2,2]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [2,3,2]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [[1,2,4,7],[3],[5],[6]] => [3,3,1]
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [[1,2,4,7],[3,6],[5]] => [3,2,2]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [[1,3,4,7],[2],[5],[6]] => [2,4,1]
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [[1,3,4,7],[2,6],[5]] => [2,3,2]
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [6,1]
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [5,2]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [[1,5,7],[2],[3],[4],[6]] => [4,2,1]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [2,4,1]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [[1,2,5,7],[3],[4],[6]] => [4,2,1]
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [[1,2,5,7],[3,4],[6]] => [3,3,1]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [[1,3,5,7],[2],[4],[6]] => [2,2,2,1]
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [[1,2,3,5,7],[4],[6]] => [4,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [[1,4,5,7],[2],[3],[6]] => [3,3,1]
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [[1,3,4,5,7],[2],[6]] => [2,4,1]
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [[1,2,4,5,7],[3],[6]] => [3,3,1]
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [[1,3,4,5,7],[2],[6]] => [2,4,1]
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [[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]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [[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]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [[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]
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [[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]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [5,2]
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [[1,2,6,7],[3,4],[5]] => [3,2,2]
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => [4,3]
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [[1,2,5,6,7],[3,4]] => [3,4]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [[1,3,6,7],[2],[4],[5]] => [2,3,2]
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [2,2,3]
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [5,2]
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [4,3]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [[1,4,6,7],[2],[3],[5]] => [3,2,2]
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [[1,2,4,6,7],[3],[5]] => [3,2,2]
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [[1,3,4,6,7],[2],[5]] => [2,3,2]
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [[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]
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [[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]
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [4,3]
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => [3,4]
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [[1,3,5,6,7],[2],[4]] => [2,2,3]
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [[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]
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [[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]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [[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]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [5,3]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [6,2]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [[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]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [[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]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [4,4]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => [4,2,2]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [5,3]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [5,3]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [4,2,2]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [[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]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [[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]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [[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]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [[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]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [3,5]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [3,2,3]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => [3,2,2,1]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [[1,4,7],[2,6],[3],[5],[8]] => [3,2,3]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [4,4]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [3,5]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [[1,4,5],[2,7],[3],[6],[8]] => [3,3,2]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [[1,4,5],[2,7,8],[3],[6]] => [3,3,2]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => [5,3]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [[1,4,6],[2,8],[3],[5],[7]] => [3,2,2,1]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => [3,5]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [6,2]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [4,2,2]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => [3,2,3]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [[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]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [[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]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [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]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [[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]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [[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]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [[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]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => [2,6]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [2,4,2]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => [2,3,3]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => [2,4,2]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [2,3,3]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => [2,2,4]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => [2,2,2,2]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => [2,2,3,1]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [[1,3,6],[2,5],[4],[7],[8]] => [2,2,4]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [[1,3,6],[2,5],[4,8],[7]] => [2,2,3,1]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => [2,3,3]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => [2,2,2,2]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [[1,3,6,7],[2,5],[4],[8]] => [2,2,4]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [[1,3,8],[2,5],[4,7],[6]] => [2,2,2,2]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => [3,5]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [3,3,2]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [[1,4],[2,6],[3],[5],[7],[8]] => [3,2,3]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => [3,3,2]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => [3,2,3]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => [2,6]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [[1,3,4],[2,7],[5],[6],[8]] => [2,4,2]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => [2,3,3]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [[1,3,4],[2,6],[5,8],[7]] => [2,3,2,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [[1,3,4],[2,7],[5],[6],[8]] => [2,4,2]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => [2,3,3]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => [4,4]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [3,5]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [3,3,2]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [3,3,2]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [[1,3,5],[2,7,8],[4],[6]] => [2,2,2,2]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [[1,4,5],[2],[3],[6],[7],[8]] => [3,5]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [[1,4,5],[2,7],[3],[6],[8]] => [3,3,2]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [[1,4,5],[2,7,8],[3],[6]] => [3,3,2]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => [2,6]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [2,5,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [[1,3,4,5],[2,7],[6],[8]] => [2,4,2]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [[1,3,4,5],[2,8],[6],[7]] => [2,5,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [[1,3,4,5],[2,7,8],[6]] => [2,4,2]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [5,2,1]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [[1,4,6],[2,8],[3],[5],[7]] => [3,2,2,1]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [[1,5,6],[2,8],[3],[4],[7]] => [4,3,1]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [[1,3,5,6],[2,8],[4],[7]] => [2,2,3,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7],[8]] => [2,6]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [[1,3,4,5,6],[2,8],[7]] => [2,5,1]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => [6,2]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [[1,4,7],[2,6],[3],[5],[8]] => [3,2,3]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => [4,2,2]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6],[8]] => [3,3,2]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => [2,4,2]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [[1,3,7],[2,6],[4],[5],[8]] => [2,3,3]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => [3,3,2]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => [2,2,2,2]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [[1,3,4,5,7],[2],[6],[8]] => [2,4,2]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => [5,3]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => [3,2,3]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => [2,3,3]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => [2,2,4]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [[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]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [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]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,2]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [[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]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [[1,4,8],[2,6],[3],[5],[7]] => [3,2,2,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [[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]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [[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]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [[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]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [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]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [[1,3,8],[2,5],[4],[6],[7]] => [2,2,3,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [[1,3,8],[2,5],[4,7],[6]] => [2,2,2,2]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [2,2,3,1]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => [2,3,2,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => [2,2,3,1]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [[1,4,5,8],[2,7],[3],[6]] => [3,3,2]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [[1,3,4,5,8],[2,7],[6]] => [2,4,2]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [[1,3,6,8],[2],[4],[5],[7]] => [2,3,2,1]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [[1,3,6,8],[2,5],[4],[7]] => [2,2,3,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [[1,4,5,6,8],[2],[3],[7]] => [3,4,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [[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]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [[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]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [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]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [[1,3,7,8],[2,5],[4],[6]] => [2,2,2,2]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [[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]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [[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]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [[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]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [[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]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [6,2]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [[1,2],[3,6],[4],[5],[7],[8]] => [5,3]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => [5,2,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [[1,2],[3,7],[4],[5],[6],[8]] => [6,2]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [[1,2,8],[3,6],[4],[5],[7]] => [5,2,1]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [[1,2],[3,5],[4],[6],[7],[8]] => [4,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [[1,2],[3,5],[4,8],[6],[7]] => [4,3,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [[1,2],[3,5],[4,7],[6],[8]] => [4,2,2]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [4,2,2]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [[1,2],[3,6],[4],[5],[7],[8]] => [5,3]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [5,3]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [[1,2,7],[3,5],[4],[6],[8]] => [4,2,2]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [5,3]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,1]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [[1,2,8],[3,6],[4],[5],[7]] => [5,2,1]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [[1,2,8],[3,5],[4],[6],[7]] => [4,3,1]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [4,2,2]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [[1,2],[3,4],[5],[6],[7],[8]] => [3,5]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [3,4,1]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [3,4,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [[1,2,8],[3,4],[5,7],[6]] => [3,3,2]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7],[8]] => [3,2,3]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => [3,2,2,1]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [[1,2],[3,4],[5,7],[6],[8]] => [3,3,2]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [[1,2,7],[3,4],[5,6],[8]] => [3,2,3]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => [3,4,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [[1,2,8],[3,4],[5,7],[6]] => [3,3,2]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [[1,2,8],[3,4],[5,6],[7]] => [3,2,2,1]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [[1,2,8],[3,4],[5,7],[6]] => [3,3,2]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [[1,2,7,8],[3,4],[5,6]] => [3,2,3]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [4,2,2]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [[1,2,5],[3,4],[6],[7],[8]] => [3,5]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7],[8]] => [3,3,2]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => [5,2,1]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [[1,2,6],[3,5],[4],[7],[8]] => [4,4]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [4,3,1]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => [3,2,2,1]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [[1,2,6],[3,5],[4],[7],[8]] => [4,4]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => [4,3,1]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7],[8]] => [3,5]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => [3,4,1]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [[1,2,7],[3,6],[4],[5],[8]] => [5,3]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [[1,2,6,7],[3,4],[5],[8]] => [3,2,3]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [[1,2,6,7],[3,5],[4],[8]] => [4,4]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [[1,2,5,6,7],[3,4],[8]] => [3,5]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,1]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [[1,2,8],[3,6],[4],[5],[7]] => [5,2,1]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [[1,2,8],[3,5],[4,7],[6]] => [4,2,2]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [[1,2,8],[3,4],[5],[6],[7]] => [3,4,1]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [[1,2,8],[3,5],[4],[6],[7]] => [4,3,1]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [[1,2,5,8],[3,4],[6],[7]] => [3,4,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [[1,2,8],[3,6],[4],[5],[7]] => [5,2,1]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [[1,2,6,8],[3,4],[5],[7]] => [3,2,2,1]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [[1,2,5,6,8],[3,4],[7]] => [3,4,1]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [[1,2,7,8],[3,4],[5,6]] => [3,2,3]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [[1,2,7,8],[3,5],[4],[6]] => [4,2,2]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [[1,2,5,7,8],[3,4],[6]] => [3,3,2]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [[1,2,6,7,8],[3,4],[5]] => [3,2,3]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [[1,2,5,6,7,8],[3,4]] => [3,5]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8]] => [2,6]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [[1,3],[2,7],[4],[5],[6],[8]] => [2,4,2]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [[1,3],[2,6],[4],[5],[7],[8]] => [2,3,3]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => [2,3,2,1]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [[1,3],[2,5],[4],[6],[7],[8]] => [2,2,4]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => [2,2,3,1]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [[1,3,6,7],[2,5],[4],[8]] => [2,2,4]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => [2,5,1]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [[1,3,8],[2,5],[4],[6],[7]] => [2,2,3,1]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [[1,3,6,8],[2,5],[4],[7]] => [2,2,3,1]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7],[8]] => [8]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,1]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,2]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [5,2,1]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [[1,2,3],[4,7],[5],[6],[8]] => [6,2]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [5,3]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,1]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,2]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [5,2,1]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,2]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,3]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [[1,2,3],[4,5],[6,7],[8]] => [4,2,2]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [4,2,2]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [[1,2,3],[4,6],[5],[7],[8]] => [5,3]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [[1,2,3],[4,6],[5,8],[7]] => [5,2,1]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [[1,2,3],[4,5,6],[7],[8]] => [4,4]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [[1,2,3],[4,6,7],[5],[8]] => [5,3]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [[1,2,3],[4,5,7],[6],[8]] => [4,2,2]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [[1,2,3,7],[4,5,6],[8]] => [4,4]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [[1,2,3],[4,8],[5],[6],[7]] => [7,1]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,2]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,3]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => [4,2,2]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [[1,2,3],[4,6,8],[5],[7]] => [5,2,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => [6,2]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,3]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [[1,2,3,8],[4,6,7],[5]] => [5,3]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [[1,2,3,7,8],[4,5,6]] => [4,4]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6],[7],[8]] => [3,5]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [3,3,2]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [[1,4],[2,6],[3],[5],[7],[8]] => [3,2,3]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => [3,2,2,1]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [[1,4],[2,7],[3],[5],[6],[8]] => [3,3,2]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5],[8]] => [3,2,3]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => [3,4,1]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => [3,2,2,1]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7],[8]] => [2,6]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [[1,3,4],[2,7],[5],[6],[8]] => [2,4,2]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [[1,3,4],[2,6],[5],[7],[8]] => [2,3,3]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [[1,3,4],[2,6],[5,8],[7]] => [2,3,2,1]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [[1,3,4],[2,7],[5],[6],[8]] => [2,4,2]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [[1,3,4],[2,6,7],[5],[8]] => [2,3,3]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => [2,3,2,1]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [[1,2,4],[3],[5],[6],[7],[8]] => [3,5]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [[1,2,4],[3,8],[5],[6],[7]] => [3,4,1]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [[1,2,4],[3,7],[5],[6],[8]] => [3,3,2]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [[1,2,4],[3,8],[5],[6],[7]] => [3,4,1]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [[1,2,4],[3,6],[5],[7],[8]] => [3,2,3]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [[1,2,4],[3,6],[5,8],[7]] => [3,2,2,1]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [[1,2,4],[3,8],[5],[6],[7]] => [3,4,1]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [[1,2,4],[3,7,8],[5],[6]] => [3,3,2]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [[1,2,4],[3,6,8],[5],[7]] => [3,2,2,1]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [[1,2,4],[3,7,8],[5],[6]] => [3,3,2]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [[1,2,4,8],[3,6,7],[5]] => [3,2,3]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [[1,3,4],[2],[5],[6],[7],[8]] => [2,6]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [[1,3,4],[2,6],[5],[7],[8]] => [2,3,3]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [[1,3,4],[2,6],[5,8],[7]] => [2,3,2,1]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [[1,3,4],[2,7],[5],[6],[8]] => [2,4,2]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [[1,3,4],[2,6,7],[5],[8]] => [2,3,3]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [[1,3,4],[2,8],[5],[6],[7]] => [2,5,1]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [[1,3,4],[2,6,8],[5],[7]] => [2,3,2,1]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => [2,4,2]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7],[8]] => [8]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [6,2]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,1]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,2]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [[1,2,3,4],[5,6],[7],[8]] => [5,3]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [[1,2,3,4],[5,6],[7,8]] => [5,2,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [[1,2,3,4],[5,7],[6],[8]] => [6,2]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7],[8]] => [5,3]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [[1,2,3,4],[5,8],[6],[7]] => [7,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,2]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [[1,2,3,4],[5,6,8],[7]] => [5,2,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [[1,2,3,4],[5,7,8],[6]] => [6,2]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]] => [5,3]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7],[8]] => [4,4]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [4,3,1]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [[1,5],[2,7],[3],[4],[6],[8]] => [4,2,2]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => [4,3,1]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [3,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [3,3,2]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [2,2,4]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [[1,3,5],[2,7,8],[4],[6]] => [2,2,2,2]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [3,5]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [[1,4,5],[2,7],[3],[6],[8]] => [3,3,2]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [[1,4,5],[2,7,8],[3],[6]] => [3,3,2]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [[1,3,4,5],[2],[6],[7],[8]] => [2,6]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [[1,3,4,5],[2,7],[6],[8]] => [2,4,2]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [[1,3,4,5],[2,8],[6],[7]] => [2,5,1]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [[1,3,4,5],[2,7,8],[6]] => [2,4,2]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [[1,2,5],[3],[4],[6],[7],[8]] => [4,4]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [[1,2,5],[3,7,8],[4],[6]] => [4,2,2]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [[1,2,5],[3,4],[6],[7],[8]] => [3,5]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [[1,2,5],[3,4],[6,8],[7]] => [3,4,1]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [[1,2,5],[3,4],[6,7],[8]] => [3,3,2]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [[1,2,5],[3,4,8],[6,7]] => [3,3,2]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [[1,3,5],[2],[4],[6],[7],[8]] => [2,2,4]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [[1,3,5],[2,8],[4],[6],[7]] => [2,2,3,1]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [[1,3,5],[2,7],[4],[6],[8]] => [2,2,2,2]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [[1,3,5],[2,7,8],[4],[6]] => [2,2,2,2]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [[1,2,3,5],[4],[6],[7],[8]] => [4,4]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [[1,2,3,5],[4,8],[6],[7]] => [4,3,1]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [[1,2,3,5],[4,8],[6],[7]] => [4,3,1]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [[1,2,3,5],[4,7,8],[6]] => [4,2,2]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [[1,4,5],[2],[3],[6],[7],[8]] => [3,5]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [[1,4,5],[2,7],[3],[6],[8]] => [3,3,2]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [[1,4,5],[2,8],[3],[6],[7]] => [3,4,1]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [[1,4,5],[2,7,8],[3],[6]] => [3,3,2]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [2,6]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [2,5,1]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [[1,3,4,5],[2,7],[6],[8]] => [2,4,2]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [2,5,1]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [[1,3,4,5],[2,7,8],[6]] => [2,4,2]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [[1,2,4,5],[3],[6],[7],[8]] => [3,5]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [[1,2,4,5],[3,8],[6],[7]] => [3,4,1]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [[1,2,4,5],[3,7],[6],[8]] => [3,3,2]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [[1,2,4,5],[3,8],[6],[7]] => [3,4,1]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [[1,2,4,5],[3,7,8],[6]] => [3,3,2]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [[1,3,4,5],[2],[6],[7],[8]] => [2,6]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [[1,3,4,5],[2,8],[6],[7]] => [2,5,1]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [[1,3,4,5],[2,7],[6],[8]] => [2,4,2]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [[1,3,4,5],[2,7,8],[6]] => [2,4,2]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8]] => [8]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [[1,2,3,4,5],[6,7],[8]] => [6,2]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [[1,2,3,4,5],[6,8],[7]] => [7,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8]] => [6,2]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5],[7],[8]] => [5,3]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => [5,2,1]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [[1,5,6],[2,8],[3],[4],[7]] => [4,3,1]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [3,5]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [[1,3,6],[2,5],[4],[7],[8]] => [2,2,4]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [[1,3,6],[2,5],[4,8],[7]] => [2,2,3,1]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [[1,3,4,6],[2,8],[5],[7]] => [2,3,2,1]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [[1,5,6],[2,8],[3],[4],[7]] => [4,3,1]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7],[8]] => [3,5]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [[1,3,4,5,6],[2],[7],[8]] => [2,6]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [[1,3,4,5,6],[2,8],[7]] => [2,5,1]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [[1,2,6],[3],[4],[5],[7],[8]] => [5,3]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [[1,2,6],[3,8],[4],[5],[7]] => [5,2,1]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [[1,2,6],[3,4],[5],[7],[8]] => [3,2,3]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [[1,2,5,6],[3,4],[7],[8]] => [3,5]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [[1,2,5,6],[3,4],[7,8]] => [3,4,1]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [[1,3,6],[2,8],[4],[5],[7]] => [2,3,2,1]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [[1,2,3,6],[4],[5],[7],[8]] => [5,3]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [[1,2,3,6],[4,8],[5],[7]] => [5,2,1]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [[1,2,3,6],[4,5],[7,8]] => [4,3,1]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [[1,4,6],[2],[3],[5],[7],[8]] => [3,2,3]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [[1,4,6],[2,8],[3],[5],[7]] => [3,2,2,1]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [[1,2,4,6],[3],[5],[7],[8]] => [3,2,3]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [[1,2,4,6],[3,8],[5],[7]] => [3,2,2,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [[1,3,4,6],[2],[5],[7],[8]] => [2,3,3]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [[1,3,4,6],[2,8],[5],[7]] => [2,3,2,1]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [[1,2,3,4,6],[5],[7],[8]] => [5,3]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [[1,2,3,4,6],[5,8],[7]] => [5,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [[1,5,6],[2],[3],[4],[7],[8]] => [4,4]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [[1,5,6],[2,8],[3],[4],[7]] => [4,3,1]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [3,5]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [2,2,3,1]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [3,5]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [2,6]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [[1,3,4,5,6],[2,8],[7]] => [2,5,1]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [[1,2,5,6],[3,8],[4],[7]] => [4,3,1]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [[1,2,5,6],[3,4],[7],[8]] => [3,5]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [[1,2,5,6],[3,4],[7,8]] => [3,4,1]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [[1,3,5,6],[2],[4],[7],[8]] => [2,2,4]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [[1,3,5,6],[2,8],[4],[7]] => [2,2,3,1]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [[1,2,3,5,6],[4],[7],[8]] => [4,4]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [[1,4,5,6],[2],[3],[7],[8]] => [3,5]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [[1,4,5,6],[2,8],[3],[7]] => [3,4,1]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [2,6]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [2,5,1]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [[1,2,4,5,6],[3,8],[7]] => [3,4,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [[1,3,4,5,6],[2],[7],[8]] => [2,6]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [[1,3,4,5,6],[2,8],[7]] => [2,5,1]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8]] => [8]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8]] => [7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6],[8]] => [6,2]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [5,3]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6],[8]] => [4,2,2]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [3,3,2]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [[1,4,7],[2,6],[3],[5],[8]] => [3,2,3]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [[1,3,7],[2],[4],[5],[6],[8]] => [2,4,2]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [[1,3,7],[2,6],[4],[5],[8]] => [2,3,3]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [2,2,4]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [3,3,2]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [[1,3,4,7],[2],[5],[6],[8]] => [2,4,2]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [[1,3,4,7],[2,6],[5],[8]] => [2,3,3]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [[1,3,5,7],[2],[4],[6],[8]] => [2,2,2,2]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6],[8]] => [3,3,2]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [5,3]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [[1,3,6,7],[2],[4],[5],[8]] => [2,3,3]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [[1,3,6,7],[2,5],[4],[8]] => [2,2,4]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [[1,4,6,7],[2],[3],[5],[8]] => [3,2,3]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [[1,3,4,6,7],[2],[5],[8]] => [2,3,3]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2],[8]] => [2,6]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [[1,2,7],[3],[4],[5],[6],[8]] => [6,2]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [[1,2,7],[3,5],[4],[6],[8]] => [4,2,2]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [[1,2,7],[3,4],[5],[6],[8]] => [3,3,2]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6],[8]] => [3,2,3]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [[1,2,7],[3,6],[4],[5],[8]] => [5,3]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [[1,2,6,7],[3,4],[5],[8]] => [3,2,3]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [[1,2,6,7],[3,5],[4],[8]] => [4,4]
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [[1,2,5,6,7],[3,4],[8]] => [3,5]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [[1,3,7],[2],[4],[5],[6],[8]] => [2,4,2]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [[1,3,7],[2,6],[4],[5],[8]] => [2,3,3]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [[1,3,6,7],[2,5],[4],[8]] => [2,2,4]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [[1,2,3,7],[4],[5],[6],[8]] => [6,2]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [[1,2,3,7],[4,6],[5],[8]] => [5,3]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [[1,2,3,7],[4,5],[6],[8]] => [4,2,2]
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6],[8]] => [4,4]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [[1,4,7],[2],[3],[5],[6],[8]] => [3,3,2]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [[1,4,7],[2,6],[3],[5],[8]] => [3,2,3]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [[1,3,4,7],[2],[5],[6],[8]] => [2,4,2]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [[1,3,4,7],[2,6],[5],[8]] => [2,3,3]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [[1,2,4,7],[3,6],[5],[8]] => [3,2,3]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [[1,3,4,7],[2],[5],[6],[8]] => [2,4,2]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [[1,3,4,7],[2,6],[5],[8]] => [2,3,3]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [[1,2,3,4,7],[5],[6],[8]] => [6,2]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [[1,2,3,4,7],[5,6],[8]] => [5,3]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [[1,5,7],[2],[3],[4],[6],[8]] => [4,2,2]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [[1,4,5,7],[2],[3],[6],[8]] => [3,3,2]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [[1,3,5,7],[2],[4],[6],[8]] => [2,2,2,2]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [[1,4,5,7],[2],[3],[6],[8]] => [3,3,2]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [[1,3,4,5,7],[2],[6],[8]] => [2,4,2]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [[1,2,5,7],[3],[4],[6],[8]] => [4,2,2]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [[1,2,5,7],[3,4],[6],[8]] => [3,3,2]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [[1,3,5,7],[2],[4],[6],[8]] => [2,2,2,2]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [[1,2,3,5,7],[4],[6],[8]] => [4,2,2]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [[1,4,5,7],[2],[3],[6],[8]] => [3,3,2]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6],[8]] => [6,2]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5],[8]] => [5,3]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [[1,3,6,7],[2,5],[4],[8]] => [2,2,4]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5],[8]] => [2,3,3]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [2,2,4]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2],[8]] => [2,6]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [[1,2,6,7],[3,4],[5],[8]] => [3,2,3]
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [[1,2,5,6,7],[3,4],[8]] => [3,5]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [[1,3,6,7],[2],[4],[5],[8]] => [2,3,3]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [[1,2,3,6,7],[4],[5],[8]] => [5,3]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [[1,2,3,6,7],[4,5],[8]] => [4,4]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [[1,4,6,7],[2],[3],[5],[8]] => [3,2,3]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [[1,2,4,6,7],[3],[5],[8]] => [3,2,3]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [[1,2,3,4,6,7],[5],[8]] => [5,3]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4],[8]] => [4,4]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [2,2,4]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [2,6]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4],[8]] => [3,5]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [[1,3,5,6,7],[2],[4],[8]] => [2,2,4]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [[1,2,3,5,6,7],[4],[8]] => [4,4]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3],[8]] => [3,5]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [2,6]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [[1,2,4,5,6,7],[3],[8]] => [3,5]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2],[8]] => [2,6]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [[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]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [[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]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [[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]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [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]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => [3,2,2,1]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [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]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [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]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [[1,3,8],[2,5],[4],[6],[7]] => [2,2,3,1]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => [2,2,2,2]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [[1,4,8],[2,7],[3],[5],[6]] => [3,3,2]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [[1,3,4,8],[2,7],[5],[6]] => [2,4,2]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => [2,3,2,1]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [[1,3,4,8],[2,7],[5],[6]] => [2,4,2]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [[1,4,5,8],[2,7],[3],[6]] => [3,3,2]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => [2,2,3,1]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [[1,3,5,8],[2,7],[4],[6]] => [2,2,2,2]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [[1,4,5,8],[2,7],[3],[6]] => [3,3,2]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [[1,3,4,5,8],[2,7],[6]] => [2,4,2]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [[1,3,5,6,8],[2],[4],[7]] => [2,2,3,1]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [[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]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [[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]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [[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]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [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]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [[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]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [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]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,1]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [[1,2,8],[3,6],[4],[5],[7]] => [5,2,1]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [[1,2,8],[3,5],[4],[6],[7]] => [4,3,1]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [[1,2,8],[3,4],[5],[6],[7]] => [3,4,1]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [[1,2,5,8],[3,4],[6,7]] => [3,3,2]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => [6,2]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [[1,2,7,8],[3,4],[5,6]] => [3,2,3]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [[1,2,5,7,8],[3,4],[6]] => [3,3,2]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [[1,2,5,6,7,8],[3,4]] => [3,5]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [[1,3,8],[2],[4],[5],[6],[7]] => [2,5,1]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [[1,3,8],[2,7],[4],[5],[6]] => [2,4,2]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [[1,3,8],[2,5],[4],[6],[7]] => [2,2,3,1]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [[1,3,8],[2,6],[4],[5],[7]] => [2,3,2,1]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => [7,1]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,3]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [[1,2,3,8],[4,5,6],[7]] => [4,3,1]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => [5,3]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [[1,2,3,7,8],[4,5,6]] => [4,4]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [[1,4,8],[2],[3],[5],[6],[7]] => [3,4,1]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [[1,3,4,8],[2,7],[5],[6]] => [2,4,2]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [2,3,2,1]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [[1,3,4,8],[2,7],[5],[6]] => [2,4,2]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [[1,3,4,8],[2],[5],[6],[7]] => [2,5,1]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [[1,3,4,8],[2,6],[5],[7]] => [2,3,2,1]
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [[1,3,4,8],[2,6,7],[5]] => [2,3,3]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [[1,2,3,4,8],[5],[6],[7]] => [7,1]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,2]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [[1,2,3,4,8],[5,6],[7]] => [5,2,1]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [[1,2,3,4,8],[5,7],[6]] => [6,2]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [[1,2,3,4,8],[5,6,7]] => [5,3]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [[1,5,8],[2],[3],[4],[6],[7]] => [4,3,1]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [[1,5,8],[2,7],[3],[4],[6]] => [4,2,2]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [3,3,2]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [[1,3,5,8],[2],[4],[6],[7]] => [2,2,3,1]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [[1,3,4,5,8],[2,7],[6]] => [2,4,2]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [[1,2,5,8],[3],[4],[6],[7]] => [4,3,1]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [[1,3,5,8],[2],[4],[6],[7]] => [2,2,3,1]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [[1,4,5,8],[2],[3],[6],[7]] => [3,4,1]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [[1,4,5,8],[2,7],[3],[6]] => [3,3,2]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [[1,3,4,5,8],[2],[6],[7]] => [2,5,1]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [[1,3,4,5,8],[2,7],[6]] => [2,4,2]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [[1,2,4,5,8],[3,7],[6]] => [3,3,2]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [[1,2,3,4,5,8],[6],[7]] => [7,1]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [[1,2,3,4,5,8],[6,7]] => [6,2]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [[1,6,8],[2],[3],[4],[5],[7]] => [5,2,1]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [[1,4,5,6,8],[2],[3],[7]] => [3,4,1]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [[1,3,6,8],[2],[4],[5],[7]] => [2,3,2,1]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [[1,3,5,6,8],[2],[4],[7]] => [2,2,3,1]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [[1,2,6,8],[3],[4],[5],[7]] => [5,2,1]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [[1,2,3,6,8],[4,5],[7]] => [4,3,1]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [[1,4,6,8],[2],[3],[5],[7]] => [3,2,2,1]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [[1,3,4,6,8],[2],[5],[7]] => [2,3,2,1]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [[1,2,4,6,8],[3],[5],[7]] => [3,2,2,1]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [[1,2,3,4,6,8],[5],[7]] => [5,2,1]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [[1,5,6,8],[2],[3],[4],[7]] => [4,3,1]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [[1,2,5,6,8],[3],[4],[7]] => [4,3,1]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [[1,2,5,6,8],[3,4],[7]] => [3,4,1]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [[1,2,3,5,6,8],[4],[7]] => [4,3,1]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [[1,4,5,6,8],[2],[3],[7]] => [3,4,1]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [[1,2,4,5,6,8],[3],[7]] => [3,4,1]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [[1,3,4,5,6,8],[2],[7]] => [2,5,1]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [[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]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => [3,3,2]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [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]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [[1,3,7,8],[2,6],[4],[5]] => [2,3,3]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [[1,3,4,7,8],[2],[5],[6]] => [2,4,2]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [[1,3,4,7,8],[2,6],[5]] => [2,3,3]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [[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]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [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]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [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]
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [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]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => [6,2]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => [5,3]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,5]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [[1,3,7,8],[2],[4],[5],[6]] => [2,4,2]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [[1,3,7,8],[2,5],[4],[6]] => [2,2,2,2]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => [4,4]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [[1,4,7,8],[2,6],[3],[5]] => [3,2,3]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [[1,3,4,7,8],[2,6],[5]] => [2,3,3]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => [4,2,2]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [[1,4,5,7,8],[2],[3],[6]] => [3,3,2]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [[1,2,5,7,8],[3],[4],[6]] => [4,2,2]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [[1,3,5,7,8],[2],[4],[6]] => [2,2,2,2]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [[1,2,3,5,7,8],[4],[6]] => [4,2,2]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [[1,3,4,5,7,8],[2],[6]] => [2,4,2]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [[1,2,4,5,7,8],[3],[6]] => [3,3,2]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [[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]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [[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]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [[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]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [[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]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => [5,3]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [[1,2,6,7,8],[3,5],[4]] => [4,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,5]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => [2,3,3]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => [2,2,4]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [[1,2,3,6,7,8],[4,5]] => [4,4]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => [3,2,3]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => [2,3,3]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => [3,2,3]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [[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]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [[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]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => [4,4]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => [3,5]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => [2,2,4]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [[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]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [[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]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [7,2]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [6,2,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,6]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [[1,3,6,7,8,9],[2,5],[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]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [[1,2,5,6,7,8,9],[3,4]] => [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]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [[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]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [[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]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [3,2,2,2,1]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9]] => [9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9],[10]] => [10]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [[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]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2],[10]] => [2,8]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [2,7]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [[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]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9]] => [8,1]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9]] => [7,2]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9]] => [6,3]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [[1,2,3,4,9],[5,6,7,8]] => [5,4]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [[1,2,3,7,8,9],[4,5,6]] => [4,5]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8],[9]] => [9]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,1]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,2]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,3]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,4]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,5]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,6]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,7]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [[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]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [[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]
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [8,6,7,5,4,3,2,1,9] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [6,2,1]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7],[9]] => [7,2]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [9,8,10,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6,10],[8],[9]] => [2,2,2,3,1]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [[1,5,7,8,9,10],[2],[3],[4],[6]] => [4,2,4]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [8,9,6,7,4,5,2,3,10,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [2,2,2,2,2]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [2,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [7,2]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [2,8]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [2,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [9,6,7,5,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [6,3]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [8,2]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [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]
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [6,5,4,3,1,2,7,8,9] => [[1,2,7,8,9],[3],[4],[5],[6]] => [6,3]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [5,4,3,1,2,6,7,8,9] => [[1,2,6,7,8,9],[3],[4],[5]] => [5,4]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,6]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [[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]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [[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]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [2,7]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [8,2]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [2,8]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6,9],[8],[10]] => [2,2,2,2,2]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => [2,7]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [8,9,2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2,9],[8]] => [2,6,1]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2,9],[8]] => [2,6,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2],[10]] => [2,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [6,2,1]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [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]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [[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]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [[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]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [[1,2,3,4,5,6,7,9],[8]] => [8,1]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,7]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,6]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,5]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,4]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,3]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,2]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [[1,2,5,6,7,8],[3,4],[9]] => [3,6]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [7,2]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [8,9,6,5,4,3,2,1,7] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [6,2,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,1]
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,2,3,1] => [[1,3],[2,9],[4],[5],[6],[7],[8]] => [2,6,1]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,6]
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [9,2,3,4,5,1,6,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [2,7]
[.,[.,[[[[.,[[[.,.],.],.]],.],.],.]]] => [4,5,6,3,7,8,9,2,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[.,[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]] => [3,4,5,6,2,7,8,9,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,7]
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [4,5,2,1,3,6,7,8,9] => [[1,3,6,7,8,9],[2,5],[4]] => [2,2,5]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [8,2]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,2,1,3] => [[1,3,6,7,8,9],[2,5],[4]] => [2,2,5]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,6]
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [8,9,7,6,5,4,2,1,3] => [[1,3],[2,9],[4],[5],[6],[7],[8]] => [2,6,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [[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]
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => [[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]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9]] => [9]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,2,3,1] => [[1,3],[2,9],[4],[5],[6],[7],[8]] => [2,6,1]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,2]
[.,[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]] => [7,6,8,5,4,3,2,9,1] => [[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]
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]] => [5,4,6,7,8,9,3,2,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]] => [6,5,7,8,9,4,3,2,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[.,[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]] => [6,5,7,8,9,10,4,3,2,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,4]
[.,[.,[[.,[[[[.,[.,.]],.],.],.]],.]]] => [5,4,6,7,8,3,9,2,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]] => [5,4,6,7,8,9,10,3,2,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,5]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [6,5,4,3,2,7,1,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.] => [5,4,3,2,6,1,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4]
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [4,3,2,5,1,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,5]
[[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,4,3,2,1,5] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [4,2,4]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [7,2,1]
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] => [9,6,7,8,5,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [6,3]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [[1,3,4,5,6,7,8],[2],[9]] => [2,7]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [[1,2,5,6,7,8,9],[3,4]] => [3,6]
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,9,2,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,7]
[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]] => [9,3,4,5,6,7,2,1,8] => [[1,4,5,6,7,8],[2],[3],[9]] => [3,6]
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [4,5,6,7,8,9,10,2,3,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => [2,2,6]
[[[[.,[.,[[[[.,.],.],.],.]]],.],.],.] => [3,4,5,6,2,1,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,1,2,3,9] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [8,1]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8],[9]] => [2,7]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2],[9],[10]] => [2,8]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [[1,2,4,5,6,7,8,9],[3],[10]] => [3,7]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [[1,3,4,5,6,7,8],[2],[9]] => [2,7]
[[[.,[.,[[[[[.,.],.],.],.],.]]],.],.] => [3,4,5,6,7,2,1,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,3]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [9,10,7,6,5,4,3,2,1,8] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [7,2,1]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2],[8],[9]] => [2,7]
[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.] => [3,4,5,2,1,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => [3,6]
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [[1,4,5,6,7,8],[2],[3],[9]] => [3,6]
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [7,6,8,9,5,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]] => [7,6,8,5,9,4,3,2,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,2]
[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]] => [8,7,9,10,6,5,4,3,2,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,2]
Map
to 132-avoiding permutation
Description
Return a 132-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 maximal element of the 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 maximal element of the 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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