Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
St000734: Standard tableaux ⟶ ℤ
Values
[.,[.,.]] => [2,1] => [1] => [[1]] => 1
[[.,.],.] => [1,2] => [1] => [[1]] => 1
[.,[.,[.,.]]] => [3,2,1] => [2,1] => [[1],[2]] => 1
[.,[[.,.],.]] => [2,3,1] => [2,1] => [[1],[2]] => 1
[[.,.],[.,.]] => [1,3,2] => [1,2] => [[1,2]] => 2
[[.,[.,.]],.] => [2,1,3] => [2,1] => [[1],[2]] => 1
[[[.,.],.],.] => [1,2,3] => [1,2] => [[1,2]] => 2
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [3,2,1] => [[1],[2],[3]] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,2,1] => [[1],[2],[3]] => 1
[.,[[.,.],[.,.]]] => [2,4,3,1] => [2,3,1] => [[1,2],[3]] => 2
[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,2,1] => [[1],[2],[3]] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [2,3,1] => [[1,2],[3]] => 2
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,3,2] => [[1,2],[3]] => 2
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,3,2] => [[1,2],[3]] => 2
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,3] => [[1,3],[2]] => 3
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,3] => [[1,2,3]] => 3
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1] => [[1],[2],[3]] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => [2,3,1] => [[1,2],[3]] => 2
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2] => [[1,2],[3]] => 2
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3] => [[1,3],[2]] => 3
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3] => [[1,2,3]] => 3
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [4,3,2,1] => [[1],[2],[3],[4]] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,3,2,1] => [[1],[2],[3],[4]] => 1
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [3,4,2,1] => [[1,2],[3],[4]] => 2
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,2,1] => [[1],[2],[3],[4]] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,4,2,1] => [[1,2],[3],[4]] => 2
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [2,4,3,1] => [[1,2],[3],[4]] => 2
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [2,4,3,1] => [[1,2],[3],[4]] => 2
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [3,2,4,1] => [[1,3],[2],[4]] => 3
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [2,3,4,1] => [[1,2,3],[4]] => 3
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,1] => [[1],[2],[3],[4]] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,4,2,1] => [[1,2],[3],[4]] => 2
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [2,4,3,1] => [[1,2],[3],[4]] => 2
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,4,1] => [[1,3],[2],[4]] => 3
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,3,4,1] => [[1,2,3],[4]] => 3
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,4,3,2] => [[1,2],[3],[4]] => 2
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,4,3,2] => [[1,2],[3],[4]] => 2
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,3,4,2] => [[1,2,3],[4]] => 3
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,4,3,2] => [[1,2],[3],[4]] => 2
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,3,4,2] => [[1,2,3],[4]] => 3
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,4,3] => [[1,3],[2,4]] => 3
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,4,3] => [[1,3],[2,4]] => 3
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,4,3] => [[1,2,3],[4]] => 3
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,4,3] => [[1,2,3],[4]] => 3
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,2,1,4] => [[1,4],[2],[3]] => 4
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [2,3,1,4] => [[1,2,4],[3]] => 4
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,4] => [[1,2,4],[3]] => 4
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,4] => [[1,3,4],[2]] => 4
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,4] => [[1,2,3,4]] => 4
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1] => [[1],[2],[3],[4]] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,4,2,1] => [[1,2],[3],[4]] => 2
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [2,4,3,1] => [[1,2],[3],[4]] => 2
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,4,1] => [[1,3],[2],[4]] => 3
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,3,4,1] => [[1,2,3],[4]] => 3
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,4,3,2] => [[1,2],[3],[4]] => 2
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,3,4,2] => [[1,2,3],[4]] => 3
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3] => [[1,3],[2,4]] => 3
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3] => [[1,2,3],[4]] => 3
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4] => [[1,4],[2],[3]] => 4
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3,1,4] => [[1,2,4],[3]] => 4
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4] => [[1,2,4],[3]] => 4
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4] => [[1,3,4],[2]] => 4
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4] => [[1,2,3,4]] => 4
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 3
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 3
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 3
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 3
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 2
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [2,4,5,3,1] => [[1,2,3],[4],[5]] => 3
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 2
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [2,4,5,3,1] => [[1,2,3],[4],[5]] => 3
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [3,2,5,4,1] => [[1,3],[2,4],[5]] => 3
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [3,2,5,4,1] => [[1,3],[2,4],[5]] => 3
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [2,3,5,4,1] => [[1,2,3],[4],[5]] => 3
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [2,3,5,4,1] => [[1,2,3],[4],[5]] => 3
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 4
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [3,4,2,5,1] => [[1,2,4],[3],[5]] => 4
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [2,4,3,5,1] => [[1,2,4],[3],[5]] => 4
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [3,2,4,5,1] => [[1,3,4],[2],[5]] => 4
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 4
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 3
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 3
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 2
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [2,4,5,3,1] => [[1,2,3],[4],[5]] => 3
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [3,2,5,4,1] => [[1,3],[2,4],[5]] => 3
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [2,3,5,4,1] => [[1,2,3],[4],[5]] => 3
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 4
>>> Load all 1042 entries. <<<[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,4,2,5,1] => [[1,2,4],[3],[5]] => 4
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [2,4,3,5,1] => [[1,2,4],[3],[5]] => 4
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,4,5,1] => [[1,3,4],[2],[5]] => 4
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 4
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 2
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 2
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,4,5,3,2] => [[1,2,3],[4],[5]] => 3
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 2
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,4,5,3,2] => [[1,2,3],[4],[5]] => 3
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,3,5,4,2] => [[1,2,3],[4],[5]] => 3
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,3,5,4,2] => [[1,2,3],[4],[5]] => 3
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,4,3,5,2] => [[1,2,4],[3],[5]] => 4
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,3,4,5,2] => [[1,2,3,4],[5]] => 4
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 2
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,4,5,3,2] => [[1,2,3],[4],[5]] => 3
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,3,5,4,2] => [[1,2,3],[4],[5]] => 3
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,4,3,5,2] => [[1,2,4],[3],[5]] => 4
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,3,4,5,2] => [[1,2,3,4],[5]] => 4
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 3
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 3
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,4,5,3] => [[1,3,4],[2,5]] => 4
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 3
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,4,5,3] => [[1,3,4],[2,5]] => 4
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => 3
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => 3
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,4,5,3] => [[1,2,3,4],[5]] => 4
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => 3
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,4,5,3] => [[1,2,3,4],[5]] => 4
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => 4
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => 4
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [2,3,1,5,4] => [[1,2,4],[3,5]] => 4
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [2,3,1,5,4] => [[1,2,4],[3,5]] => 4
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,5,4] => [[1,2,4],[3,5]] => 4
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,5,4] => [[1,2,4],[3,5]] => 4
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,5,4] => [[1,3,4],[2,5]] => 4
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,5,4] => [[1,3,4],[2,5]] => 4
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,5,4] => [[1,2,3,4],[5]] => 4
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,5,4] => [[1,2,3,4],[5]] => 4
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 5
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [3,4,2,1,5] => [[1,2,5],[3],[4]] => 5
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [2,4,3,1,5] => [[1,2,5],[3],[4]] => 5
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,4,1,5] => [[1,3,5],[2],[4]] => 5
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [2,3,4,1,5] => [[1,2,3,5],[4]] => 5
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,4,3,2,5] => [[1,2,5],[3],[4]] => 5
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,3,4,2,5] => [[1,2,3,5],[4]] => 5
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,5] => [[1,3,5],[2,4]] => 5
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,5] => [[1,2,3,5],[4]] => 5
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => 5
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [2,3,1,4,5] => [[1,2,4,5],[3]] => 5
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,5] => [[1,2,4,5],[3]] => 5
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 5
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,5] => [[1,2,3,4,5]] => 5
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 3
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 3
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 2
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [2,4,5,3,1] => [[1,2,3],[4],[5]] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,2,5,4,1] => [[1,3],[2,4],[5]] => 3
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [2,3,5,4,1] => [[1,2,3],[4],[5]] => 3
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 4
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,4,2,5,1] => [[1,2,4],[3],[5]] => 4
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [2,4,3,5,1] => [[1,2,4],[3],[5]] => 4
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,4,5,1] => [[1,3,4],[2],[5]] => 4
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 4
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 2
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,4,5,3,2] => [[1,2,3],[4],[5]] => 3
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,3,5,4,2] => [[1,2,3],[4],[5]] => 3
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,4,3,5,2] => [[1,2,4],[3],[5]] => 4
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,3,4,5,2] => [[1,2,3,4],[5]] => 4
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 3
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,4,5,3] => [[1,3,4],[2,5]] => 4
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => 3
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,4,5,3] => [[1,2,3,4],[5]] => 4
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => 4
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [2,3,1,5,4] => [[1,2,4],[3,5]] => 4
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4] => [[1,2,4],[3,5]] => 4
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4] => [[1,3,4],[2,5]] => 4
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4] => [[1,2,3,4],[5]] => 4
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 5
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,4,2,1,5] => [[1,2,5],[3],[4]] => 5
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [2,4,3,1,5] => [[1,2,5],[3],[4]] => 5
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,4,1,5] => [[1,3,5],[2],[4]] => 5
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,3,4,1,5] => [[1,2,3,5],[4]] => 5
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,4,3,2,5] => [[1,2,5],[3],[4]] => 5
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,3,4,2,5] => [[1,2,3,5],[4]] => 5
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5] => [[1,3,5],[2,4]] => 5
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5] => [[1,2,3,5],[4]] => 5
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => 5
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,3,1,4,5] => [[1,2,4,5],[3]] => 5
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5] => [[1,2,4,5],[3]] => 5
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 5
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5] => [[1,2,3,4,5]] => 5
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 3
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 3
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 4
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 4
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 3
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 4
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [2,5,4,6,3,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [2,4,5,6,3,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [2,5,4,6,3,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [2,4,5,6,3,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [3,2,5,6,4,1] => [[1,3,4],[2,5],[6]] => 4
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,5,6,4,1] => [[1,3,4],[2,5],[6]] => 4
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [2,3,5,6,4,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [2,3,5,6,4,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => 4
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => 4
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [3,4,2,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,4,2,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => 4
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => 4
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [2,3,4,6,5,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [2,3,4,6,5,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 5
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => 5
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [3,5,4,2,6,1] => [[1,2,5],[3],[4],[6]] => 5
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => 5
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => 5
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [2,5,4,3,6,1] => [[1,2,5],[3],[4],[6]] => 5
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [2,4,5,3,6,1] => [[1,2,3,5],[4],[6]] => 5
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,5,4,6,1] => [[1,3,5],[2,4],[6]] => 5
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [2,3,5,4,6,1] => [[1,2,3,5],[4],[6]] => 5
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => 5
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => 5
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [2,4,3,5,6,1] => [[1,2,4,5],[3],[6]] => 5
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => 5
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 5
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 3
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 4
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [2,5,4,6,3,1] => [[1,2,4],[3],[5],[6]] => 4
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [2,4,5,6,3,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 3
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,5,6,4,1] => [[1,3,4],[2,5],[6]] => 4
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => 3
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [2,3,5,6,4,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => 4
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,4,2,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => 4
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [2,3,4,6,5,1] => [[1,2,3,4],[5],[6]] => 4
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 5
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => 5
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [3,5,4,2,6,1] => [[1,2,5],[3],[4],[6]] => 5
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => 5
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => 5
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [2,5,4,3,6,1] => [[1,2,5],[3],[4],[6]] => 5
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [2,4,5,3,6,1] => [[1,2,3,5],[4],[6]] => 5
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,2,5,4,6,1] => [[1,3,5],[2,4],[6]] => 5
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [2,3,5,4,6,1] => [[1,2,3,5],[4],[6]] => 5
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => 5
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => 5
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [2,4,3,5,6,1] => [[1,2,4,5],[3],[6]] => 5
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => 5
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 5
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,5,4,6,3,2] => [[1,2,4],[3],[5],[6]] => 4
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,4,5,6,3,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,5,4,6,3,2] => [[1,2,4],[3],[5],[6]] => 4
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,4,5,6,3,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,3,5,6,4,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,3,5,6,4,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => 4
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => 4
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,3,4,6,5,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,3,4,6,5,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,5,4,3,6,2] => [[1,2,5],[3],[4],[6]] => 5
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,4,5,3,6,2] => [[1,2,3,5],[4],[6]] => 5
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,3,5,4,6,2] => [[1,2,3,5],[4],[6]] => 5
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,4,3,5,6,2] => [[1,2,4,5],[3],[6]] => 5
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,3,4,5,6,2] => [[1,2,3,4,5],[6]] => 5
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,5,4,6,3,2] => [[1,2,4],[3],[5],[6]] => 4
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,4,5,6,3,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => 3
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,3,5,6,4,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => 4
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,3,4,6,5,2] => [[1,2,3,4],[5],[6]] => 4
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,5,4,3,6,2] => [[1,2,5],[3],[4],[6]] => 5
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,4,5,3,6,2] => [[1,2,3,5],[4],[6]] => 5
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,3,5,4,6,2] => [[1,2,3,5],[4],[6]] => 5
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,4,3,5,6,2] => [[1,2,4,5],[3],[6]] => 5
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,3,4,5,6,2] => [[1,2,3,4,5],[6]] => 5
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 3
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 3
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,5,6,4,3] => [[1,3,4],[2,5],[6]] => 4
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 3
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,5,6,4,3] => [[1,3,4],[2,5],[6]] => 4
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => 4
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => 4
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,5,4,6,3] => [[1,3,5],[2,4],[6]] => 5
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => 5
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 3
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,5,6,4,3] => [[1,3,4],[2,5],[6]] => 4
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => 4
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,5,4,6,3] => [[1,3,5],[2,4],[6]] => 5
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => 5
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,5,6,4,3] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,5,6,4,3] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,4,6,5,3] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,4,6,5,3] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,5,4,6,3] => [[1,2,3,5],[4],[6]] => 5
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,4,5,6,3] => [[1,2,3,4,5],[6]] => 5
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,5,6,4,3] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,4,6,5,3] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,5,4,6,3] => [[1,2,3,5],[4],[6]] => 5
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,4,5,6,3] => [[1,2,3,4,5],[6]] => 5
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 4
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 4
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,1,5,6,4] => [[1,4,5],[2,6],[3]] => 5
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 4
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,5,6,4] => [[1,4,5],[2,6],[3]] => 5
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => 5
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => 5
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => 5
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => 5
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => 4
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => 4
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => 5
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => 4
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => 5
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => 4
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => 4
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,5,6,4] => [[1,2,3,4,5],[6]] => 5
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => 4
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,5,6,4] => [[1,2,3,4,5],[6]] => 5
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => 5
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => 5
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,4,2,1,6,5] => [[1,2,5],[3,6],[4]] => 5
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,4,2,1,6,5] => [[1,2,5],[3,6],[4]] => 5
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [2,4,3,1,6,5] => [[1,2,5],[3,6],[4]] => 5
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [2,4,3,1,6,5] => [[1,2,5],[3,6],[4]] => 5
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,2,4,1,6,5] => [[1,3,5],[2,6],[4]] => 5
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,4,1,6,5] => [[1,3,5],[2,6],[4]] => 5
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => 5
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => 5
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => 5
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => 5
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => 5
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => 5
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => 5
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => 5
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => 5
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => 5
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => 5
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => 5
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => 5
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => 5
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => 5
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => 5
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => 5
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => 5
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => 5
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => 5
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 6
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,5,3,2,1,6] => [[1,2,6],[3],[4],[5]] => 6
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [3,5,4,2,1,6] => [[1,2,6],[3],[4],[5]] => 6
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,3,5,2,1,6] => [[1,3,6],[2],[4],[5]] => 6
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => 6
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [2,5,4,3,1,6] => [[1,2,6],[3],[4],[5]] => 6
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [2,4,5,3,1,6] => [[1,2,3,6],[4],[5]] => 6
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,5,4,1,6] => [[1,3,6],[2,4],[5]] => 6
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [2,3,5,4,1,6] => [[1,2,3,6],[4],[5]] => 6
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => 6
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,4,2,5,1,6] => [[1,2,4,6],[3],[5]] => 6
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [2,4,3,5,1,6] => [[1,2,4,6],[3],[5]] => 6
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => 6
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => 6
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => 6
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,4,5,3,2,6] => [[1,2,3,6],[4],[5]] => 6
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,3,5,4,2,6] => [[1,2,3,6],[4],[5]] => 6
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,4,3,5,2,6] => [[1,2,4,6],[3],[5]] => 6
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,3,4,5,2,6] => [[1,2,3,4,6],[5]] => 6
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => 6
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,4,5,3,6] => [[1,3,4,6],[2,5]] => 6
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => 6
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,4,5,3,6] => [[1,2,3,4,6],[5]] => 6
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => 6
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,3,1,5,4,6] => [[1,2,4,6],[3,5]] => 6
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => 6
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => 6
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => 6
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => 6
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,4,2,1,5,6] => [[1,2,5,6],[3],[4]] => 6
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [2,4,3,1,5,6] => [[1,2,5,6],[3],[4]] => 6
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => 6
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => 6
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => 6
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,3,4,2,5,6] => [[1,2,3,5,6],[4]] => 6
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => 6
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => 6
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => 6
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => 6
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => 6
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 6
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 3
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 3
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [3,5,6,4,2,1] => [[1,2,3],[4],[5],[6]] => 3
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 3
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [3,4,6,5,2,1] => [[1,2,3],[4],[5],[6]] => 3
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => 4
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 4
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 4
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [2,5,6,4,3,1] => [[1,2,3],[4],[5],[6]] => 3
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [2,4,6,5,3,1] => [[1,2,3],[4],[5],[6]] => 3
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [2,5,4,6,3,1] => [[1,2,4],[3],[5],[6]] => 4
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [2,4,5,6,3,1] => [[1,2,3,4],[5],[6]] => 4
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 3
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,5,6,4,1] => [[1,3,4],[2,5],[6]] => 4
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [2,3,6,5,4,1] => [[1,2,3],[4],[5],[6]] => 3
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [2,3,5,6,4,1] => [[1,2,3,4],[5],[6]] => 4
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => 4
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,4,2,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => 4
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => 4
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [2,3,4,6,5,1] => [[1,2,3,4],[5],[6]] => 4
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 5
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => 5
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [3,5,4,2,6,1] => [[1,2,5],[3],[4],[6]] => 5
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => 5
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => 5
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [2,5,4,3,6,1] => [[1,2,5],[3],[4],[6]] => 5
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [2,4,5,3,6,1] => [[1,2,3,5],[4],[6]] => 5
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,2,5,4,6,1] => [[1,3,5],[2,4],[6]] => 5
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [2,3,5,4,6,1] => [[1,2,3,5],[4],[6]] => 5
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => 5
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => 5
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [2,4,3,5,6,1] => [[1,2,4,5],[3],[6]] => 5
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => 5
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 5
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,5,6,4,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,4,6,5,3,2] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,5,4,6,3,2] => [[1,2,4],[3],[5],[6]] => 4
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,4,5,6,3,2] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,3,6,5,4,2] => [[1,2,3],[4],[5],[6]] => 3
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,3,5,6,4,2] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => 4
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,3,4,6,5,2] => [[1,2,3,4],[5],[6]] => 4
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,5,4,3,6,2] => [[1,2,5],[3],[4],[6]] => 5
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,4,5,3,6,2] => [[1,2,3,5],[4],[6]] => 5
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,3,5,4,6,2] => [[1,2,3,5],[4],[6]] => 5
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,4,3,5,6,2] => [[1,2,4,5],[3],[6]] => 5
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,3,4,5,6,2] => [[1,2,3,4,5],[6]] => 5
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,5,6,4,3] => [[1,3,4],[2,5],[6]] => 4
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => 4
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,5,4,6,3] => [[1,3,5],[2,4],[6]] => 5
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => 5
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 3
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,5,6,4,3] => [[1,2,3,4],[5],[6]] => 4
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,4,6,5,3] => [[1,2,3,4],[5],[6]] => 4
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,5,4,6,3] => [[1,2,3,5],[4],[6]] => 5
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,4,5,6,3] => [[1,2,3,4,5],[6]] => 5
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 4
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,5,6,4] => [[1,4,5],[2,6],[3]] => 5
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => 5
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => 4
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => 5
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => 4
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => 5
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => 4
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,5,6,4] => [[1,2,3,4,5],[6]] => 5
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => 5
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,4,2,1,6,5] => [[1,2,5],[3,6],[4]] => 5
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [2,4,3,1,6,5] => [[1,2,5],[3,6],[4]] => 5
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,4,1,6,5] => [[1,3,5],[2,6],[4]] => 5
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => 5
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => 5
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => 5
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => 5
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => 5
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => 5
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => 5
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => 5
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => 5
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => 5
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 6
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6] => [[1,2,6],[3],[4],[5]] => 6
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [3,5,4,2,1,6] => [[1,2,6],[3],[4],[5]] => 6
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6] => [[1,3,6],[2],[4],[5]] => 6
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => 6
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [2,5,4,3,1,6] => [[1,2,6],[3],[4],[5]] => 6
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [2,4,5,3,1,6] => [[1,2,3,6],[4],[5]] => 6
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,2,5,4,1,6] => [[1,3,6],[2,4],[5]] => 6
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [2,3,5,4,1,6] => [[1,2,3,6],[4],[5]] => 6
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => 6
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6] => [[1,2,4,6],[3],[5]] => 6
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [2,4,3,5,1,6] => [[1,2,4,6],[3],[5]] => 6
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => 6
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => 6
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => 6
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,4,5,3,2,6] => [[1,2,3,6],[4],[5]] => 6
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,3,5,4,2,6] => [[1,2,3,6],[4],[5]] => 6
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,4,3,5,2,6] => [[1,2,4,6],[3],[5]] => 6
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,3,4,5,2,6] => [[1,2,3,4,6],[5]] => 6
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => 6
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,4,5,3,6] => [[1,3,4,6],[2,5]] => 6
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => 6
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,4,5,3,6] => [[1,2,3,4,6],[5]] => 6
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => 6
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,3,1,5,4,6] => [[1,2,4,6],[3,5]] => 6
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => 6
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => 6
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => 6
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => 6
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6] => [[1,2,5,6],[3],[4]] => 6
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [2,4,3,1,5,6] => [[1,2,5,6],[3],[4]] => 6
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => 6
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => 6
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => 6
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,3,4,2,5,6] => [[1,2,3,5,6],[4]] => 6
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => 6
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => 6
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => 6
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => 6
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => 6
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 6
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 6
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [5,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 3
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 3
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,6,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [4,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 3
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [4,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,5,6,7,3,2,1] => [[1,2,3,4],[5],[6],[7]] => 4
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [3,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [3,5,7,6,4,2,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [3,5,6,7,4,2,1] => [[1,2,3,4],[5],[6],[7]] => 4
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [3,4,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [3,4,5,7,6,2,1] => [[1,2,3,4],[5],[6],[7]] => 4
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,3,6,5,7,2,1] => [[1,3,5],[2,4],[6],[7]] => 5
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [5,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,4,6,7,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 4
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,3,5,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 5
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [2,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [2,6,7,5,4,3,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [2,5,6,7,4,3,1] => [[1,2,3,4],[5],[6],[7]] => 4
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [2,4,7,6,5,3,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [2,4,6,7,5,3,1] => [[1,2,3,4],[5],[6],[7]] => 4
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [2,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [2,3,5,6,7,4,1] => [[1,2,3,4,5],[6],[7]] => 5
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [2,3,5,6,7,4,1] => [[1,2,3,4,5],[6],[7]] => 5
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [4,3,2,7,6,5,1] => [[1,4],[2,5],[3,6],[7]] => 4
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [3,4,2,7,6,5,1] => [[1,2,4],[3,5],[6],[7]] => 4
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [2,4,3,7,6,5,1] => [[1,2,4],[3,5],[6],[7]] => 4
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [3,2,4,7,6,5,1] => [[1,3,4],[2,5],[6],[7]] => 4
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [2,3,4,7,6,5,1] => [[1,2,3,4],[5],[6],[7]] => 4
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => 5
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => 5
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [2,5,4,3,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 5
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [2,5,4,3,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 5
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [2,4,5,3,7,6,1] => [[1,2,3,5],[4,6],[7]] => 5
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,4,2,5,7,6,1] => [[1,2,4,5],[3,6],[7]] => 5
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,3,6,5,2,7,1] => [[1,3,6],[2,4],[5],[7]] => 6
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [3,2,6,5,4,7,1] => [[1,3,6],[2,4],[5],[7]] => 6
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [2,4,3,6,5,7,1] => [[1,2,4,6],[3,5],[7]] => 6
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => 6
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [2,5,4,3,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 6
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [2,4,3,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => 6
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 6
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 3
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,5,4,3,7,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 5
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,1] => [[1,3,5],[2],[4],[6],[7]] => 5
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [4,3,6,5,7,2,1] => [[1,3,5],[2,4],[6],[7]] => 5
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [2,5,4,7,6,3,1] => [[1,2,4],[3,5],[6],[7]] => 4
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [2,5,4,6,7,3,1] => [[1,2,4,5],[3],[6],[7]] => 5
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [3,2,6,5,7,4,1] => [[1,3,5],[2,4],[6],[7]] => 5
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,2,7,6,5,1] => [[1,4],[2,5],[3,6],[7]] => 4
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,4,2,6,7,5,1] => [[1,2,4,5],[3,6],[7]] => 5
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => 5
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,3,5,2,7,6,1] => [[1,3,5],[2,6],[4],[7]] => 5
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [2,5,4,3,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 5
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,5,4,7,6,1] => [[1,3,5],[2,4,6],[7]] => 5
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [2,3,5,4,7,6,1] => [[1,2,3,5],[4,6],[7]] => 5
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,2,4,5,7,6,1] => [[1,3,4,5],[2,6],[7]] => 5
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [2,4,3,6,5,7,1] => [[1,2,4,6],[3,5],[7]] => 6
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => 6
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,5,2,6,7,1] => [[1,2,3,5,6],[4],[7]] => 6
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [2,5,4,3,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 6
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,3,2,5,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 6
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => 6
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 6
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 6
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,6,7,5,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,6,7,5,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [1,5,7,6,4,3,2] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,5,6,7,4,3,2] => [[1,2,3,4],[5],[6],[7]] => 4
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [1,4,7,6,5,3,2] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [1,4,7,6,5,3,2] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,3,5,7,6,4,2] => [[1,2,3,4],[5],[6],[7]] => 4
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,3,6,5,7,4,2] => [[1,2,3,5],[4],[6],[7]] => 5
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,3,5,6,7,4,2] => [[1,2,3,4,5],[6],[7]] => 5
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,4,3,7,6,5,2] => [[1,2,4],[3,5],[6],[7]] => 4
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [1,4,3,7,6,5,2] => [[1,2,4],[3,5],[6],[7]] => 4
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,3,4,7,6,5,2] => [[1,2,3,4],[5],[6],[7]] => 4
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,3,4,5,7,6,2] => [[1,2,3,4,5],[6],[7]] => 5
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,6,5,4,3,7,2] => [[1,2,6],[3],[4],[5],[7]] => 6
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [1,5,6,4,3,7,2] => [[1,2,3,6],[4],[5],[7]] => 6
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,4,3,6,5,7,2] => [[1,2,4,6],[3,5],[7]] => 6
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,3,4,5,6,7,2] => [[1,2,3,4,5,6],[7]] => 6
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [1,5,4,3,6,7,2] => [[1,2,5,6],[3],[4],[7]] => 6
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,4,5,3,6,7,2] => [[1,2,3,5,6],[4],[7]] => 6
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,4,3,5,6,7,2] => [[1,2,4,5,6],[3],[7]] => 6
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,2] => [[1,2,3,4,5,6],[7]] => 6
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 3
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,6,7,5,4,3] => [[1,3,4],[2,5],[6],[7]] => 4
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [2,1,6,5,7,4,3] => [[1,3,5],[2,4],[6],[7]] => 5
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 3
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,6,7,5,4,3] => [[1,3,4],[2,5],[6],[7]] => 4
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [2,1,6,5,7,4,3] => [[1,3,5],[2,4],[6],[7]] => 5
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [2,1,5,6,7,4,3] => [[1,3,4,5],[2,6],[7]] => 5
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [2,1,4,7,6,5,3] => [[1,3,4],[2,5],[6],[7]] => 4
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [2,1,4,5,7,6,3] => [[1,3,4,5],[2,6],[7]] => 5
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [2,1,4,5,7,6,3] => [[1,3,4,5],[2,6],[7]] => 5
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [2,1,4,6,5,7,3] => [[1,3,4,6],[2,5],[7]] => 6
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [2,1,6,5,7,4,3] => [[1,3,5],[2,4],[6],[7]] => 5
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [2,1,5,4,7,6,3] => [[1,3,5],[2,4,6],[7]] => 5
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,4,5,6,7,3] => [[1,3,4,5,6],[2,7]] => 6
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,6,7,5,4,3] => [[1,2,3,4],[5],[6],[7]] => 4
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,5,6,7,4,3] => [[1,2,3,4,5],[6],[7]] => 5
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,4,7,6,5,3] => [[1,2,3,4],[5],[6],[7]] => 4
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,4,6,7,5,3] => [[1,2,3,4,5],[6],[7]] => 5
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [1,2,6,5,4,7,3] => [[1,2,3,6],[4],[5],[7]] => 6
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,5,6,4,7,3] => [[1,2,3,4,6],[5],[7]] => 6
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,5,4,6,7,3] => [[1,2,3,5,6],[4],[7]] => 6
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,3] => [[1,2,3,4,5,6],[7]] => 6
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 4
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 4
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [3,2,1,6,7,5,4] => [[1,4,5],[2,6],[3,7]] => 5
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 4
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,2,1,6,7,5,4] => [[1,4,5],[2,6],[3,7]] => 5
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [3,2,1,5,7,6,4] => [[1,4,5],[2,6],[3,7]] => 5
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,2,1,5,7,6,4] => [[1,4,5],[2,6],[3,7]] => 5
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,2,1,6,5,7,4] => [[1,4,6],[2,5],[3,7]] => 6
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,2,1,5,6,7,4] => [[1,4,5,6],[2,7],[3]] => 6
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 4
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,2,1,6,7,5,4] => [[1,4,5],[2,6],[3,7]] => 5
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,2,1,5,7,6,4] => [[1,4,5],[2,6],[3,7]] => 5
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,2,1,6,5,7,4] => [[1,4,6],[2,5],[3,7]] => 6
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,5,6,7,4] => [[1,4,5,6],[2,7],[3]] => 6
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [2,3,1,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => 4
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => 4
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => 4
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => 4
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => 4
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,6,7,5,4] => [[1,2,3,4,5],[6],[7]] => 5
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => 4
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,6,7,5,4] => [[1,2,3,4,5],[6],[7]] => 5
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,5,7,6,4] => [[1,2,3,4,5],[6],[7]] => 5
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,5,7,6,4] => [[1,2,3,4,5],[6],[7]] => 5
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,6,5,7,4] => [[1,2,3,4,6],[5],[7]] => 6
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,5,6,7,4] => [[1,2,3,4,5,6],[7]] => 6
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => 4
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,6,7,5,4] => [[1,2,3,4,5],[6],[7]] => 5
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,5,7,6,4] => [[1,2,3,4,5],[6],[7]] => 5
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,6,5,7,4] => [[1,2,3,4,6],[5],[7]] => 6
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,4] => [[1,2,3,4,5,6],[7]] => 6
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 5
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 5
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,2,1,6,7,5] => [[1,5,6],[2,7],[3],[4]] => 6
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 5
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,3,2,1,6,7,5] => [[1,5,6],[2,7],[3],[4]] => 6
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [3,4,2,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,4,2,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,4,2,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => 6
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,4,2,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,4,2,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => 6
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [2,4,3,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [2,4,3,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [2,4,3,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => 6
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [2,4,3,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [2,4,3,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => 6
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [3,2,4,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => 5
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,2,4,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => 5
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,2,4,1,6,7,5] => [[1,3,5,6],[2,7],[4]] => 6
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,2,4,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => 5
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,4,1,6,7,5] => [[1,3,5,6],[2,7],[4]] => 6
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [2,3,4,1,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [2,3,4,1,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [2,3,4,1,6,7,5] => [[1,2,3,5,6],[4,7]] => 6
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [2,3,4,1,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,3,4,1,6,7,5] => [[1,2,3,5,6],[4,7]] => 6
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,4,3,2,6,7,5] => [[1,2,5,6],[3,7],[4]] => 6
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,3,4,2,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,3,4,2,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,3,4,2,6,7,5] => [[1,2,3,5,6],[4,7]] => 6
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => 5
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => 5
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,6,7,5] => [[1,3,5,6],[2,4,7]] => 6
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => 5
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,6,7,5] => [[1,3,5,6],[2,4,7]] => 6
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,4,3,6,7,5] => [[1,2,3,5,6],[4,7]] => 6
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => 5
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => 5
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => 5
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,4,6,7,5] => [[1,4,5,6],[2,7],[3]] => 6
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [2,3,1,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 5
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [2,3,1,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 5
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,3,1,4,6,7,5] => [[1,2,4,5,6],[3,7]] => 6
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 5
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 5
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,3,2,4,6,7,5] => [[1,2,4,5,6],[3,7]] => 6
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => 5
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => 5
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => 5
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,1,3,4,6,7,5] => [[1,3,4,5,6],[2,7]] => 6
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => 5
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => 5
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => 5
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,5] => [[1,2,3,4,5,6],[7]] => 6
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => 6
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => 6
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,5,3,2,1,7,6] => [[1,2,6],[3,7],[4],[5]] => 6
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [3,5,4,2,1,7,6] => [[1,2,6],[3,7],[4],[5]] => 6
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,5,2,1,7,6] => [[1,3,6],[2,7],[4],[5]] => 6
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,4,5,2,1,7,6] => [[1,2,3,6],[4,7],[5]] => 6
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [2,5,4,3,1,7,6] => [[1,2,6],[3,7],[4],[5]] => 6
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [2,4,5,3,1,7,6] => [[1,2,3,6],[4,7],[5]] => 6
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,2,5,4,1,7,6] => [[1,3,6],[2,4,7],[5]] => 6
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [2,3,5,4,1,7,6] => [[1,2,3,6],[4,7],[5]] => 6
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,2,5,1,7,6] => [[1,4,6],[2,7],[3],[5]] => 6
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,4,2,5,1,7,6] => [[1,2,4,6],[3,7],[5]] => 6
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [2,4,3,5,1,7,6] => [[1,2,4,6],[3,7],[5]] => 6
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,2,4,5,1,7,6] => [[1,3,4,6],[2,7],[5]] => 6
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [2,3,4,5,1,7,6] => [[1,2,3,4,6],[5,7]] => 6
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => 6
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => 6
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,2,4,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => 6
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,4,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => 6
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [2,3,4,1,5,7,6] => [[1,2,3,5,6],[4,7]] => 6
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,3,4,1,5,7,6] => [[1,2,3,5,6],[4,7]] => 6
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => 6
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,3,1,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 6
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => 6
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 7
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,6,4,3,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 7
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,5,6,3,2,1,7] => [[1,2,3,7],[4],[5],[6]] => 7
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [3,6,5,4,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 7
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,3,6,5,2,1,7] => [[1,3,7],[2,4],[5],[6]] => 7
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,4,3,6,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 7
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,5,3,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => 7
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,3,5,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 7
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [2,3,6,5,4,1,7] => [[1,2,3,7],[4],[5],[6]] => 7
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [2,4,3,6,5,1,7] => [[1,2,4,7],[3,5],[6]] => 7
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,4,3,2,6,1,7] => [[1,5,7],[2],[3],[4],[6]] => 7
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [4,5,3,2,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 7
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,3,5,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => 7
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,5,4,6,1,7] => [[1,3,5,7],[2,4],[6]] => 7
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,3,2,5,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 7
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => 7
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [1,5,6,4,3,2,7] => [[1,2,3,7],[4],[5],[6]] => 7
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => 7
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,5,6,4,3,7] => [[1,3,4,7],[2,5],[6]] => 7
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,4,6,5,3,7] => [[1,3,4,7],[2,5],[6]] => 7
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,5,4,6,3,7] => [[1,3,5,7],[2,4],[6]] => 7
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,4,5,6,3,7] => [[1,3,4,5,7],[2,6]] => 7
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => 7
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,4,2,1,6,5,7] => [[1,2,5,7],[3,6],[4]] => 7
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [2,4,3,1,6,5,7] => [[1,2,5,7],[3,6],[4]] => 7
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,4,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => 7
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,3,4,1,6,5,7] => [[1,2,3,5,7],[4,6]] => 7
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => 7
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => 7
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => 7
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => 7
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,4,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 7
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => 7
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 7
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 7
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [5,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 3
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,6,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [4,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,5,4,7,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 4
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [3,4,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7]] => 3
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [3,2,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7]] => 3
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [3,2,6,7,5,4,1] => [[1,3,4],[2,5],[6],[7]] => 4
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => 5
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [4,5,3,2,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 5
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [3,5,4,2,7,6,1] => [[1,2,5],[3,6],[4],[7]] => 5
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,5,4,7,6,1] => [[1,3,5],[2,4,6],[7]] => 5
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [2,3,4,5,7,6,1] => [[1,2,3,4,5],[6],[7]] => 5
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,5,3,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => 6
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => 6
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [3,5,4,2,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 6
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 6
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 6
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [1,3,4,6,7,5,2] => [[1,2,3,4,5],[6],[7]] => 5
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,3,4,5,7,6,2] => [[1,2,3,4,5],[6],[7]] => 5
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [2,1,6,7,5,4,3] => [[1,3,4],[2,5],[6],[7]] => 4
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,3,1,5,6,7,4] => [[1,2,4,5,6],[3,7]] => 6
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 5
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [4,3,2,1,6,7,5] => [[1,5,6],[2,7],[3],[4]] => 6
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,2,4,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => 5
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,4,1,6,7,5] => [[1,3,5,6],[2,7],[4]] => 6
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [2,3,4,1,7,6,5] => [[1,2,3,5],[4,6],[7]] => 5
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,3,4,1,6,7,5] => [[1,2,3,5,6],[4,7]] => 6
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => 5
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5] => [[1,2,3,5,6],[4,7]] => 6
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => 5
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => 6
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3]] => 6
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,3,1,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 6
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 6
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => 6
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => 6
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,4,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => 6
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,3,4,1,5,7,6] => [[1,2,3,5,6],[4,7]] => 6
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 6
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => 6
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 7
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [2,3,4,6,5,1,7] => [[1,2,3,4,7],[5],[6]] => 7
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,4,3,2,6,1,7] => [[1,5,7],[2],[3],[4],[6]] => 7
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [4,5,3,2,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 7
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => 7
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [1,2,4,6,5,3,7] => [[1,2,3,4,7],[5],[6]] => 7
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => 7
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,4,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => 7
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [2,3,4,1,6,5,7] => [[1,2,3,5,7],[4,6]] => 7
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => 7
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => 7
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [3,2,5,4,1,6,7] => [[1,3,6,7],[2,4],[5]] => 7
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => 7
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => 7
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => 7
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => 7
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 7
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => 7
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => 7
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 7
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 7
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 7
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => 7
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 8
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [6,7,8,9,5,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => 4
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,2] => [[1,2,3,4,5,6,7],[8]] => 7
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,1] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9]] => 9
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => 9
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 8
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9]] => 9
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 7
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,10] => [[1,2,3,4,5,6,7,8,9,10]] => 10
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [3,4,2,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => 7
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [3,2,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8],[2],[9]] => 8
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,1] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => 7
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,7],[8]] => 7
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,6,7,8,5] => [[1,2,3,4,5,6,7],[8]] => 7
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,4] => [[1,2,3,4,5,6,7],[8]] => 7
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,3] => [[1,2,3,4,5,6,7],[8]] => 7
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => 7
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8]] => 6
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,8,9,7] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,7,6,8,5] => [[1,2,3,4,5,7],[6],[8]] => 7
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,7,8,9,6] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,6,5,7,8,4] => [[1,2,3,4,6,7],[5],[8]] => 7
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,6,7,8,9,5] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,5,4,6,7,8,3] => [[1,2,3,5,6,7],[4],[8]] => 7
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,5,6,7,8,9,4] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,4,3,5,6,7,8,2] => [[1,2,4,5,6,7],[3],[8]] => 7
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,4,5,6,7,8,9,3] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,3,4,5,6,7,8,9,2] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [8,9,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [7,6,8,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 3
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [1,10,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,1,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 3
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [4,3,2,1,9,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8],[9]] => 5
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,5,4,3,2,1,9,8,7] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 7
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 9
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => 8
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 8
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 8
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 8
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 8
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 8
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 9
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 9
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 9
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => 9
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => 9
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => 9
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 9
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => 10
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => 7
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => 8
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,1] => [[1,2,3,4,5,6,7,8],[9]] => 8
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
3,2 4,6,4 5,12,15,10 6,20,36,42,28 7,30,70,112,126,84
$F_{2} = 2\ q$
$F_{3} = 3\ q + 2\ q^{2}$
$F_{4} = 4\ q + 6\ q^{2} + 4\ q^{3}$
$F_{5} = 5\ q + 12\ q^{2} + 15\ q^{3} + 10\ q^{4}$
$F_{6} = 6\ q + 20\ q^{2} + 36\ q^{3} + 42\ q^{4} + 28\ q^{5}$
$F_{7} = 7\ q + 30\ q^{2} + 70\ q^{3} + 112\ q^{4} + 126\ q^{5} + 84\ q^{6}$
Description
The last entry in the first row of a standard tableau.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!