- FindStat

Identifier

Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
St000507: Standard tableaux ⟶ ℤ

Values

[.,.] => [1] => [1] => [[1]] => 1

[.,[.,.]] => [2,1] => [2,1] => [[1],[2]] => 1

[[.,.],.] => [1,2] => [1,2] => [[1,2]] => 2

[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [[1],[2],[3]] => 1

[.,[[.,.],.]] => [2,3,1] => [2,3,1] => [[1,2],[3]] => 2

[[.,.],[.,.]] => [3,1,2] => [3,1,2] => [[1,3],[2]] => 2

[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [[1,3],[2]] => 2

[[[.,.],.],.] => [1,2,3] => [1,3,2] => [[1,2],[3]] => 2

[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [[1],[2],[3],[4]] => 1

[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,4,2,1] => [[1,2],[3],[4]] => 2

[.,[[.,.],[.,.]]] => [4,2,3,1] => [4,2,3,1] => [[1,3],[2],[4]] => 2

[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,2,4,1] => [[1,3],[2],[4]] => 2

[.,[[[.,.],.],.]] => [2,3,4,1] => [2,4,3,1] => [[1,2],[3],[4]] => 2

[[.,.],[.,[.,.]]] => [4,3,1,2] => [4,3,1,2] => [[1,4],[2],[3]] => 2

[[.,.],[[.,.],.]] => [3,4,1,2] => [3,4,1,2] => [[1,2],[3,4]] => 3

[[.,[.,.]],[.,.]] => [4,2,1,3] => [4,2,1,3] => [[1,4],[2],[3]] => 2

[[[.,.],.],[.,.]] => [4,1,2,3] => [4,1,3,2] => [[1,3],[2],[4]] => 2

[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [[1,4],[2],[3]] => 2

[[.,[[.,.],.]],.] => [2,3,1,4] => [2,4,1,3] => [[1,2],[3,4]] => 3

[[[.,.],[.,.]],.] => [3,1,2,4] => [3,1,4,2] => [[1,3],[2,4]] => 2

[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,4,3] => [[1,3],[2,4]] => 2

[[[[.,.],.],.],.] => [1,2,3,4] => [1,4,3,2] => [[1,2],[3],[4]] => 2

[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 1

[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 2

[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [5,3,4,2,1] => [[1,3],[2],[4],[5]] => 2

[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 2

[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,5,4,2,1] => [[1,2],[3],[4],[5]] => 2

[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [5,4,2,3,1] => [[1,4],[2],[3],[5]] => 2

[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [4,5,2,3,1] => [[1,2],[3,4],[5]] => 3

[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [5,3,2,4,1] => [[1,4],[2],[3],[5]] => 2

[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [5,2,4,3,1] => [[1,3],[2],[4],[5]] => 2

[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 2

[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,5,2,4,1] => [[1,2],[3,4],[5]] => 3

[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [4,2,5,3,1] => [[1,3],[2,4],[5]] => 2

[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,5,4,1] => [[1,3],[2,4],[5]] => 2

[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,5,4,3,1] => [[1,2],[3],[4],[5]] => 2

[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [5,4,3,1,2] => [[1,5],[2],[3],[4]] => 2

[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,5,3,1,2] => [[1,2],[3,5],[4]] => 3

[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [5,3,4,1,2] => [[1,3],[2,5],[4]] => 3

[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,3,5,1,2] => [[1,3],[2,5],[4]] => 3

[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [3,5,4,1,2] => [[1,2],[3,5],[4]] => 3

[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [5,4,2,1,3] => [[1,5],[2],[3],[4]] => 2

[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,5,2,1,3] => [[1,2],[3,5],[4]] => 3

[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [5,4,1,3,2] => [[1,4],[2],[3],[5]] => 2

[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [4,5,1,3,2] => [[1,2],[3,4],[5]] => 3

[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [5,3,2,1,4] => [[1,5],[2],[3],[4]] => 2

[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [5,2,4,1,3] => [[1,3],[2,5],[4]] => 3

[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [5,3,1,4,2] => [[1,4],[2,5],[3]] => 2

[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [5,2,1,4,3] => [[1,4],[2,5],[3]] => 2

[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [5,1,4,3,2] => [[1,3],[2],[4],[5]] => 2

[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 2

[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,5,2,1,4] => [[1,2],[3,5],[4]] => 3

[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,2,5,1,3] => [[1,3],[2,5],[4]] => 3

[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,5,1,4] => [[1,3],[2,5],[4]] => 3

[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,5,4,1,3] => [[1,2],[3,5],[4]] => 3

[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [4,3,1,5,2] => [[1,4],[2,5],[3]] => 2

[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,5,1,4,2] => [[1,2],[3,4],[5]] => 3

[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [4,2,1,5,3] => [[1,4],[2,5],[3]] => 2

[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [4,1,5,3,2] => [[1,3],[2,4],[5]] => 2

[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => 2

[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,5,1,4,3] => [[1,2],[3,4],[5]] => 3

[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [3,1,5,4,2] => [[1,3],[2,4],[5]] => 2

[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 2

[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 2

[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 1

[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2

[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [6,4,5,3,2,1] => [[1,3],[2],[4],[5],[6]] => 2

[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 2

[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,6,5,3,2,1] => [[1,2],[3],[4],[5],[6]] => 2

[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => 2

[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [5,6,3,4,2,1] => [[1,2],[3,4],[5],[6]] => 3

[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [6,4,3,5,2,1] => [[1,4],[2],[3],[5],[6]] => 2

[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [6,3,5,4,2,1] => [[1,3],[2],[4],[5],[6]] => 2

[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 2

[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,6,3,5,2,1] => [[1,2],[3,4],[5],[6]] => 3

[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [5,3,6,4,2,1] => [[1,3],[2,4],[5],[6]] => 2

[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,6,5,2,1] => [[1,3],[2,4],[5],[6]] => 2

[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,6,5,4,2,1] => [[1,2],[3],[4],[5],[6]] => 2

[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [6,5,4,2,3,1] => [[1,5],[2],[3],[4],[6]] => 2

[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [5,6,4,2,3,1] => [[1,2],[3,5],[4],[6]] => 3

[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => 3

[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [5,4,6,2,3,1] => [[1,3],[2,5],[4],[6]] => 3

[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [4,6,5,2,3,1] => [[1,2],[3,5],[4],[6]] => 3

[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [6,5,3,2,4,1] => [[1,5],[2],[3],[4],[6]] => 2

[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [5,6,3,2,4,1] => [[1,2],[3,5],[4],[6]] => 3

[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [6,5,2,4,3,1] => [[1,4],[2],[3],[5],[6]] => 2

[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [5,6,2,4,3,1] => [[1,2],[3,4],[5],[6]] => 3

[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => 2

[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [6,3,5,2,4,1] => [[1,3],[2,5],[4],[6]] => 3

[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [6,4,2,5,3,1] => [[1,4],[2,5],[3],[6]] => 2

[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => 2

[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => 2

[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 2

[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,6,3,2,5,1] => [[1,2],[3,5],[4],[6]] => 3

[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [5,3,6,2,4,1] => [[1,3],[2,5],[4],[6]] => 3

[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,6,2,5,1] => [[1,3],[2,5],[4],[6]] => 3

[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,6,5,2,4,1] => [[1,2],[3,5],[4],[6]] => 3

[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [5,4,2,6,3,1] => [[1,4],[2,5],[3],[6]] => 2

[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [4,6,2,5,3,1] => [[1,2],[3,4],[5],[6]] => 3

[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [5,3,2,6,4,1] => [[1,4],[2,5],[3],[6]] => 2

[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [5,2,6,4,3,1] => [[1,3],[2,4],[5],[6]] => 2

>>> Load all 1573 entries. <<<

[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => 2

[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,6,2,5,4,1] => [[1,2],[3,4],[5],[6]] => 3

[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [4,2,6,5,3,1] => [[1,3],[2,4],[5],[6]] => 2

[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => 2

[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,6,5,4,3,1] => [[1,2],[3],[4],[5],[6]] => 2

[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [6,5,4,3,1,2] => [[1,6],[2],[3],[4],[5]] => 2

[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => 3

[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [6,4,5,3,1,2] => [[1,3],[2,6],[4],[5]] => 3

[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,4,6,3,1,2] => [[1,3],[2,6],[4],[5]] => 3

[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [4,6,5,3,1,2] => [[1,2],[3,6],[4],[5]] => 3

[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [6,5,3,4,1,2] => [[1,4],[2,6],[3],[5]] => 3

[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => 4

[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [6,4,3,5,1,2] => [[1,4],[2,6],[3],[5]] => 3

[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [6,3,5,4,1,2] => [[1,3],[2,6],[4],[5]] => 3

[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,4,3,6,1,2] => [[1,4],[2,6],[3],[5]] => 3

[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [4,6,3,5,1,2] => [[1,2],[3,4],[5,6]] => 4

[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [5,3,6,4,1,2] => [[1,3],[2,4],[5,6]] => 3

[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [4,3,6,5,1,2] => [[1,3],[2,4],[5,6]] => 3

[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [3,6,5,4,1,2] => [[1,2],[3,6],[4],[5]] => 3

[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [6,5,4,2,1,3] => [[1,6],[2],[3],[4],[5]] => 2

[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,6,4,2,1,3] => [[1,2],[3,6],[4],[5]] => 3

[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [6,4,5,2,1,3] => [[1,3],[2,6],[4],[5]] => 3

[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => 3

[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [4,6,5,2,1,3] => [[1,2],[3,6],[4],[5]] => 3

[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [6,5,4,1,3,2] => [[1,5],[2],[3],[4],[6]] => 2

[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [5,6,4,1,3,2] => [[1,2],[3,5],[4],[6]] => 3

[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [6,4,5,1,3,2] => [[1,3],[2,5],[4],[6]] => 3

[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [5,4,6,1,3,2] => [[1,3],[2,5],[4],[6]] => 3

[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]] => 3

[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [6,5,3,2,1,4] => [[1,6],[2],[3],[4],[5]] => 2

[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,6,3,2,1,4] => [[1,2],[3,6],[4],[5]] => 3

[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [6,5,2,4,1,3] => [[1,4],[2,6],[3],[5]] => 3

[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [5,6,2,4,1,3] => [[1,2],[3,4],[5,6]] => 4

[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [6,5,3,1,4,2] => [[1,5],[2,6],[3],[4]] => 2

[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [5,6,3,1,4,2] => [[1,2],[3,5],[4,6]] => 3

[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [6,5,2,1,4,3] => [[1,5],[2,6],[3],[4]] => 2

[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [5,6,2,1,4,3] => [[1,2],[3,5],[4,6]] => 3

[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [6,5,1,4,3,2] => [[1,4],[2],[3],[5],[6]] => 2

[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [5,6,1,4,3,2] => [[1,2],[3,4],[5],[6]] => 3

[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [6,4,3,2,1,5] => [[1,6],[2],[3],[4],[5]] => 2

[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [6,3,5,2,1,4] => [[1,3],[2,6],[4],[5]] => 3

[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [6,4,2,5,1,3] => [[1,4],[2,6],[3],[5]] => 3

[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [6,3,2,5,1,4] => [[1,4],[2,6],[3],[5]] => 3

[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [6,2,5,4,1,3] => [[1,3],[2,6],[4],[5]] => 3

[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [6,4,3,1,5,2] => [[1,5],[2,6],[3],[4]] => 2

[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [6,3,5,1,4,2] => [[1,3],[2,5],[4],[6]] => 3

[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [6,4,2,1,5,3] => [[1,5],[2,6],[3],[4]] => 2

[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [6,4,1,5,3,2] => [[1,4],[2,5],[3],[6]] => 2

[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [6,3,2,1,5,4] => [[1,5],[2,6],[3],[4]] => 2

[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [6,2,5,1,4,3] => [[1,3],[2,5],[4],[6]] => 3

[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [6,3,1,5,4,2] => [[1,4],[2,5],[3],[6]] => 2

[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [6,2,1,5,4,3] => [[1,4],[2,5],[3],[6]] => 2

[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [6,1,5,4,3,2] => [[1,3],[2],[4],[5],[6]] => 2

[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 2

[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,6,3,2,1,5] => [[1,2],[3,6],[4],[5]] => 3

[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,3,6,2,1,4] => [[1,3],[2,6],[4],[5]] => 3

[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,6,2,1,5] => [[1,3],[2,6],[4],[5]] => 3

[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,6,5,2,1,4] => [[1,2],[3,6],[4],[5]] => 3

[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,4,2,6,1,3] => [[1,4],[2,6],[3],[5]] => 3

[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [4,6,2,5,1,3] => [[1,2],[3,4],[5,6]] => 4

[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => 3

[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,2,6,4,1,3] => [[1,3],[2,4],[5,6]] => 3

[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,6,1,5] => [[1,4],[2,6],[3],[5]] => 3

[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,6,2,5,1,4] => [[1,2],[3,4],[5,6]] => 4

[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [4,2,6,5,1,3] => [[1,3],[2,4],[5,6]] => 3

[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,6,5,1,4] => [[1,3],[2,4],[5,6]] => 3

[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,6,5,4,1,3] => [[1,2],[3,6],[4],[5]] => 3

[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [5,4,3,1,6,2] => [[1,5],[2,6],[3],[4]] => 2

[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,6,3,1,5,2] => [[1,2],[3,5],[4,6]] => 3

[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [5,3,6,1,4,2] => [[1,3],[2,5],[4,6]] => 3

[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,3,6,1,5,2] => [[1,3],[2,5],[4,6]] => 3

[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [3,6,5,1,4,2] => [[1,2],[3,5],[4],[6]] => 3

[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [5,4,2,1,6,3] => [[1,5],[2,6],[3],[4]] => 2

[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,6,2,1,5,3] => [[1,2],[3,5],[4,6]] => 3

[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [5,4,1,6,3,2] => [[1,4],[2,5],[3],[6]] => 2

[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [4,6,1,5,3,2] => [[1,2],[3,4],[5],[6]] => 3

[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [5,3,2,1,6,4] => [[1,5],[2,6],[3],[4]] => 2

[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [5,2,6,1,4,3] => [[1,3],[2,5],[4,6]] => 3

[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [5,3,1,6,4,2] => [[1,4],[2,5],[3,6]] => 2

[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [5,2,1,6,4,3] => [[1,4],[2,5],[3,6]] => 2

[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [5,1,6,4,3,2] => [[1,3],[2,4],[5],[6]] => 2

[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => 2

[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,6,2,1,5,4] => [[1,2],[3,5],[4,6]] => 3

[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,2,6,1,5,3] => [[1,3],[2,5],[4,6]] => 3

[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,6,1,5,4] => [[1,3],[2,5],[4,6]] => 3

[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,6,5,1,4,3] => [[1,2],[3,5],[4],[6]] => 3

[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [4,3,1,6,5,2] => [[1,4],[2,5],[3,6]] => 2

[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,6,1,5,4,2] => [[1,2],[3,4],[5],[6]] => 3

[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [4,2,1,6,5,3] => [[1,4],[2,5],[3,6]] => 2

[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [4,1,6,5,3,2] => [[1,3],[2,4],[5],[6]] => 2

[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 2

[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,6,1,5,4,3] => [[1,2],[3,4],[5],[6]] => 3

[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [3,1,6,5,4,2] => [[1,3],[2,4],[5],[6]] => 2

[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 2

[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 2

[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1

[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2

[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [7,5,6,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 2

[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 2

[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2

[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [7,6,4,5,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 2

[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [6,7,4,5,3,2,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [7,5,4,6,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 2

[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [7,4,6,5,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 2

[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 2

[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,7,4,6,3,2,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [6,4,7,5,3,2,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,7,6,3,2,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2

[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [7,6,5,3,4,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 2

[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [6,7,5,3,4,2,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [7,5,6,3,4,2,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [6,5,7,3,4,2,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [5,7,6,3,4,2,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 2

[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [6,7,4,3,5,2,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 2

[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [6,7,3,5,4,2,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [7,5,4,3,6,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 2

[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [7,4,6,3,5,2,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [7,5,3,6,4,2,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [7,4,3,6,5,2,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [7,3,6,5,4,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 2

[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 2

[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,7,4,3,6,2,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [6,4,7,3,5,2,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,7,3,6,2,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,7,6,3,5,2,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [6,5,3,7,4,2,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [5,7,3,6,4,2,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [6,4,3,7,5,2,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [6,3,7,5,4,2,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,7,6,2,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,7,3,6,5,2,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [5,3,7,6,4,2,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,7,6,5,2,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 2

[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [7,6,5,4,2,3,1] => [[1,6],[2],[3],[4],[5],[7]] => 2

[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [6,7,5,4,2,3,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [6,5,7,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [5,7,6,4,2,3,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [7,6,4,5,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [6,7,4,5,2,3,1] => [[1,2],[3,4],[5,6],[7]] => 4

[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [7,5,4,6,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [7,4,6,5,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [6,5,4,7,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [5,7,4,6,2,3,1] => [[1,2],[3,4],[5,6],[7]] => 4

[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [6,4,7,5,2,3,1] => [[1,3],[2,4],[5,6],[7]] => 3

[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [5,4,7,6,2,3,1] => [[1,3],[2,4],[5,6],[7]] => 3

[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [4,7,6,5,2,3,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [7,6,5,3,2,4,1] => [[1,6],[2],[3],[4],[5],[7]] => 2

[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [6,7,5,3,2,4,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [7,5,6,3,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [6,5,7,3,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [5,7,6,3,2,4,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [7,6,5,2,4,3,1] => [[1,5],[2],[3],[4],[6],[7]] => 2

[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [6,7,5,2,4,3,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [7,5,6,2,4,3,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [6,5,7,2,4,3,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [5,7,6,2,4,3,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [7,6,4,3,2,5,1] => [[1,6],[2],[3],[4],[5],[7]] => 2

[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [6,7,4,3,2,5,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [7,6,3,5,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [6,7,3,5,2,4,1] => [[1,2],[3,4],[5,6],[7]] => 4

[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [7,6,4,2,5,3,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [6,7,4,2,5,3,1] => [[1,2],[3,5],[4,6],[7]] => 3

[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [7,6,3,2,5,4,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [6,7,3,2,5,4,1] => [[1,2],[3,5],[4,6],[7]] => 3

[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [7,6,2,5,4,3,1] => [[1,4],[2],[3],[5],[6],[7]] => 2

[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [6,7,2,5,4,3,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => 2

[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [7,4,6,3,2,5,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [7,5,3,6,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [7,4,3,6,2,5,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [7,3,6,5,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [7,5,4,2,6,3,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [7,4,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [7,5,3,2,6,4,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [7,5,2,6,4,3,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [7,4,3,2,6,5,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [7,3,6,2,5,4,1] => [[1,3],[2,5],[4],[6],[7]] => 3

[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [7,4,2,6,5,3,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [7,3,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [7,2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => 2

[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,7,1] => [[1,6],[2],[3],[4],[5],[7]] => 2

[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,7,4,3,2,6,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [6,4,7,3,2,5,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,7,3,2,6,1] => [[1,3],[2,6],[4],[5],[7]] => 3

[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,7,6,3,2,5,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [6,5,3,7,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [5,7,3,6,2,4,1] => [[1,2],[3,4],[5,6],[7]] => 4

[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [6,4,3,7,2,5,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [6,3,7,5,2,4,1] => [[1,3],[2,4],[5,6],[7]] => 3

[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,7,2,6,1] => [[1,4],[2,6],[3],[5],[7]] => 3

[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,7,3,6,2,5,1] => [[1,2],[3,4],[5,6],[7]] => 4

[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [5,3,7,6,2,4,1] => [[1,3],[2,4],[5,6],[7]] => 3

[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,7,6,2,5,1] => [[1,3],[2,4],[5,6],[7]] => 3

[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,7,6,5,2,4,1] => [[1,2],[3,6],[4],[5],[7]] => 3

[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [6,5,4,2,7,3,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [5,7,4,2,6,3,1] => [[1,2],[3,5],[4,6],[7]] => 3

[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [6,4,7,2,5,3,1] => [[1,3],[2,5],[4,6],[7]] => 3

[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [5,4,7,2,6,3,1] => [[1,3],[2,5],[4,6],[7]] => 3

[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [4,7,6,2,5,3,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [6,5,3,2,7,4,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [5,7,3,2,6,4,1] => [[1,2],[3,5],[4,6],[7]] => 3

[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [6,5,2,7,4,3,1] => [[1,4],[2,5],[3],[6],[7]] => 2

[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [5,7,2,6,4,3,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [6,4,3,2,7,5,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [6,3,7,2,5,4,1] => [[1,3],[2,5],[4,6],[7]] => 3

[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [6,4,2,7,5,3,1] => [[1,4],[2,5],[3,6],[7]] => 2

[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [6,3,2,7,5,4,1] => [[1,4],[2,5],[3,6],[7]] => 2

[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [6,2,7,5,4,3,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => 2

[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,7,3,2,6,5,1] => [[1,2],[3,5],[4,6],[7]] => 3

[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [5,3,7,2,6,4,1] => [[1,3],[2,5],[4,6],[7]] => 3

[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,7,2,6,5,1] => [[1,3],[2,5],[4,6],[7]] => 3

[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,7,6,2,5,4,1] => [[1,2],[3,5],[4],[6],[7]] => 3

[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [5,4,2,7,6,3,1] => [[1,4],[2,5],[3,6],[7]] => 2

[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [4,7,2,6,5,3,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [5,3,2,7,6,4,1] => [[1,4],[2,5],[3,6],[7]] => 2

[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [5,2,7,6,4,3,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,7,6,5,1] => [[1,4],[2,5],[3,6],[7]] => 2

[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,7,2,6,5,4,1] => [[1,2],[3,4],[5],[6],[7]] => 3

[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [4,2,7,6,5,3,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7]] => 2

[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7]] => 2

[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [7,6,5,4,3,1,2] => [[1,7],[2],[3],[4],[5],[6]] => 2

[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [7,5,6,4,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [6,5,7,4,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [5,7,6,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [7,6,4,5,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [6,7,4,5,3,1,2] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [7,5,4,6,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [7,4,6,5,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [6,5,4,7,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [5,7,4,6,3,1,2] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [6,4,7,5,3,1,2] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [5,4,7,6,3,1,2] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [4,7,6,5,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [7,6,5,3,4,1,2] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [6,7,5,3,4,1,2] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [7,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [6,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [5,7,6,3,4,1,2] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [7,6,4,3,5,1,2] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [7,6,3,5,4,1,2] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [6,7,3,5,4,1,2] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [7,5,4,3,6,1,2] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [7,4,6,3,5,1,2] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [7,5,3,6,4,1,2] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [7,4,3,6,5,1,2] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [7,3,6,5,4,1,2] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [6,5,4,3,7,1,2] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [5,7,4,3,6,1,2] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [6,4,7,3,5,1,2] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [5,4,7,3,6,1,2] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [4,7,6,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [6,5,3,7,4,1,2] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [5,7,3,6,4,1,2] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [6,4,3,7,5,1,2] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [6,3,7,5,4,1,2] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [5,4,3,7,6,1,2] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [4,7,3,6,5,1,2] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [5,3,7,6,4,1,2] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [4,3,7,6,5,1,2] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [3,7,6,5,4,1,2] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [7,6,5,4,2,1,3] => [[1,7],[2],[3],[4],[5],[6]] => 2

[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [6,7,5,4,2,1,3] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [7,5,6,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [5,7,6,4,2,1,3] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [7,6,4,5,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [6,7,4,5,2,1,3] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [7,5,4,6,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [7,4,6,5,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [6,5,4,7,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [5,7,4,6,2,1,3] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [6,4,7,5,2,1,3] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [5,4,7,6,2,1,3] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [4,7,6,5,2,1,3] => [[1,2],[3,7],[4],[5],[6]] => 3

[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [7,6,5,4,1,3,2] => [[1,6],[2],[3],[4],[5],[7]] => 2

[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [6,7,5,4,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => 3

[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [7,5,6,4,1,3,2] => [[1,3],[2,6],[4],[5],[7]] => 3

[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [6,5,7,4,1,3,2] => [[1,3],[2,6],[4],[5],[7]] => 3

[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [5,7,6,4,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => 3

[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [7,6,4,5,1,3,2] => [[1,4],[2,6],[3],[5],[7]] => 3

[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [6,7,4,5,1,3,2] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [7,5,4,6,1,3,2] => [[1,4],[2,6],[3],[5],[7]] => 3

[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [7,4,6,5,1,3,2] => [[1,3],[2,6],[4],[5],[7]] => 3

[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [6,5,4,7,1,3,2] => [[1,4],[2,6],[3],[5],[7]] => 3

[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [5,7,4,6,1,3,2] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [6,4,7,5,1,3,2] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [5,4,7,6,1,3,2] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [4,7,6,5,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => 3

[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [7,6,5,3,2,1,4] => [[1,7],[2],[3],[4],[5],[6]] => 2

[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [6,7,5,3,2,1,4] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [7,5,6,3,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [6,5,7,3,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [5,7,6,3,2,1,4] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [7,6,5,2,4,1,3] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [6,7,5,2,4,1,3] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [7,5,6,2,4,1,3] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [6,5,7,2,4,1,3] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [5,7,6,2,4,1,3] => [[1,2],[3,5],[4,7],[6]] => 4

[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [7,6,5,3,1,4,2] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [6,7,5,3,1,4,2] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [7,5,6,3,1,4,2] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [6,5,7,3,1,4,2] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [5,7,6,3,1,4,2] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [7,6,5,2,1,4,3] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [6,7,5,2,1,4,3] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [7,5,6,2,1,4,3] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [6,5,7,2,1,4,3] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [5,7,6,2,1,4,3] => [[1,2],[3,6],[4,7],[5]] => 3

[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [7,6,5,1,4,3,2] => [[1,5],[2],[3],[4],[6],[7]] => 2

[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [6,7,5,1,4,3,2] => [[1,2],[3,5],[4],[6],[7]] => 3

[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [7,5,6,1,4,3,2] => [[1,3],[2,5],[4],[6],[7]] => 3

[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [6,5,7,1,4,3,2] => [[1,3],[2,5],[4],[6],[7]] => 3

[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [5,7,6,1,4,3,2] => [[1,2],[3,5],[4],[6],[7]] => 3

[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [7,6,4,3,2,1,5] => [[1,7],[2],[3],[4],[5],[6]] => 2

[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [6,7,4,3,2,1,5] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [7,6,3,5,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [6,7,3,5,2,1,4] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [7,6,4,2,5,1,3] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [6,7,4,2,5,1,3] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [7,6,3,2,5,1,4] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [6,7,3,2,5,1,4] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [7,6,2,5,4,1,3] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [6,7,2,5,4,1,3] => [[1,2],[3,4],[5,7],[6]] => 4

[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [7,6,4,3,1,5,2] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [6,7,4,3,1,5,2] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [7,6,3,5,1,4,2] => [[1,4],[2,6],[3],[5],[7]] => 3

[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [6,7,3,5,1,4,2] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [7,6,4,2,1,5,3] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [6,7,4,2,1,5,3] => [[1,2],[3,6],[4,7],[5]] => 3

[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [7,6,4,1,5,3,2] => [[1,5],[2,6],[3],[4],[7]] => 2

[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [6,7,4,1,5,3,2] => [[1,2],[3,5],[4,6],[7]] => 3

[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [7,6,3,2,1,5,4] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [6,7,3,2,1,5,4] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [7,6,2,5,1,4,3] => [[1,4],[2,6],[3],[5],[7]] => 3

[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [6,7,2,5,1,4,3] => [[1,2],[3,4],[5,6],[7]] => 4

[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [7,6,3,1,5,4,2] => [[1,5],[2,6],[3],[4],[7]] => 2

[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [6,7,3,1,5,4,2] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [7,6,2,1,5,4,3] => [[1,5],[2,6],[3],[4],[7]] => 2

[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [6,7,2,1,5,4,3] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [7,6,1,5,4,3,2] => [[1,4],[2],[3],[5],[6],[7]] => 2

[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [6,7,1,5,4,3,2] => [[1,2],[3,4],[5],[6],[7]] => 3

[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [7,5,4,3,2,1,6] => [[1,7],[2],[3],[4],[5],[6]] => 2

[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [7,4,6,3,2,1,5] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [7,5,3,6,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [7,4,3,6,2,1,5] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [7,3,6,5,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [7,5,4,2,6,1,3] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [7,4,6,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [7,5,3,2,6,1,4] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [7,5,2,6,4,1,3] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [7,4,3,2,6,1,5] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [7,3,6,2,5,1,4] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [7,4,2,6,5,1,3] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [7,3,2,6,5,1,4] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [7,2,6,5,4,1,3] => [[1,3],[2,7],[4],[5],[6]] => 3

[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [7,5,4,3,1,6,2] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [7,4,6,3,1,5,2] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [7,5,3,6,1,4,2] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [7,4,3,6,1,5,2] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [7,3,6,5,1,4,2] => [[1,3],[2,6],[4],[5],[7]] => 3

[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [7,5,4,2,1,6,3] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [7,4,6,2,1,5,3] => [[1,3],[2,6],[4,7],[5]] => 3

[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [7,5,4,1,6,3,2] => [[1,5],[2,6],[3],[4],[7]] => 2

[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [7,4,6,1,5,3,2] => [[1,3],[2,5],[4],[6],[7]] => 3

[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [7,5,3,2,1,6,4] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [7,5,2,6,1,4,3] => [[1,4],[2,6],[3,7],[5]] => 3

[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [7,5,3,1,6,4,2] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [7,5,2,1,6,4,3] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [7,5,1,6,4,3,2] => [[1,4],[2,5],[3],[6],[7]] => 2

[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [7,4,3,2,1,6,5] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [7,3,6,2,1,5,4] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [7,4,2,6,1,5,3] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [7,3,2,6,1,5,4] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [7,2,6,5,1,4,3] => [[1,3],[2,6],[4],[5],[7]] => 3

[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [7,4,3,1,6,5,2] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [7,3,6,1,5,4,2] => [[1,3],[2,5],[4],[6],[7]] => 3

[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [7,4,2,1,6,5,3] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [7,4,1,6,5,3,2] => [[1,4],[2,5],[3],[6],[7]] => 2

[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [7,3,2,1,6,5,4] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [7,2,6,1,5,4,3] => [[1,3],[2,5],[4],[6],[7]] => 3

[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [7,3,1,6,5,4,2] => [[1,4],[2,5],[3],[6],[7]] => 2

[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [7,2,1,6,5,4,3] => [[1,4],[2,5],[3],[6],[7]] => 2

[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [7,1,6,5,4,3,2] => [[1,3],[2],[4],[5],[6],[7]] => 2

[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 2

[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,7,4,3,2,1,6] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [6,4,7,3,2,1,5] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,7,3,2,1,6] => [[1,3],[2,7],[4],[5],[6]] => 3

[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,7,6,3,2,1,5] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [6,5,3,7,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [5,7,3,6,2,1,4] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [6,4,3,7,2,1,5] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [6,3,7,5,2,1,4] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,7,2,1,6] => [[1,4],[2,7],[3],[5],[6]] => 3

[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,7,3,6,2,1,5] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [5,3,7,6,2,1,4] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,7,6,2,1,5] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,7,6,5,2,1,4] => [[1,2],[3,7],[4],[5],[6]] => 3

[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [6,5,4,2,7,1,3] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [5,7,4,2,6,1,3] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [6,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [5,4,7,2,6,1,3] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [4,7,6,2,5,1,3] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [6,5,3,2,7,1,4] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [5,7,3,2,6,1,4] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [6,5,2,7,4,1,3] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [5,7,2,6,4,1,3] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [6,4,3,2,7,1,5] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [6,3,7,2,5,1,4] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [6,4,2,7,5,1,3] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [6,3,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [6,2,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,7,1,6] => [[1,5],[2,7],[3],[4],[6]] => 3

[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,7,3,2,6,1,5] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [5,3,7,2,6,1,4] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,7,2,6,1,5] => [[1,3],[2,5],[4,7],[6]] => 4

[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,7,6,2,5,1,4] => [[1,2],[3,5],[4,7],[6]] => 4

[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [5,4,2,7,6,1,3] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [4,7,2,6,5,1,3] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [5,3,2,7,6,1,4] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [5,2,7,6,4,1,3] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,7,6,1,5] => [[1,4],[2,5],[3,7],[6]] => 3

[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,7,2,6,5,1,4] => [[1,2],[3,4],[5,7],[6]] => 4

[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [4,2,7,6,5,1,3] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,7,6,5,1,4] => [[1,3],[2,4],[5,7],[6]] => 3

[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,7,6,5,4,1,3] => [[1,2],[3,7],[4],[5],[6]] => 3

[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [6,5,4,3,1,7,2] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [5,7,4,3,1,6,2] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [6,4,7,3,1,5,2] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [5,4,7,3,1,6,2] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [4,7,6,3,1,5,2] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [6,5,3,7,1,4,2] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [5,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [6,4,3,7,1,5,2] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [6,3,7,5,1,4,2] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [5,4,3,7,1,6,2] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [4,7,3,6,1,5,2] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [5,3,7,6,1,4,2] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [4,3,7,6,1,5,2] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [3,7,6,5,1,4,2] => [[1,2],[3,6],[4],[5],[7]] => 3

[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [6,5,4,2,1,7,3] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [5,7,4,2,1,6,3] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [6,4,7,2,1,5,3] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [5,4,7,2,1,6,3] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [4,7,6,2,1,5,3] => [[1,2],[3,6],[4,7],[5]] => 3

[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [6,5,4,1,7,3,2] => [[1,5],[2,6],[3],[4],[7]] => 2

[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [5,7,4,1,6,3,2] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [6,4,7,1,5,3,2] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [5,4,7,1,6,3,2] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [4,7,6,1,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => 3

[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [6,5,3,2,1,7,4] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [5,7,3,2,1,6,4] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [6,5,2,7,1,4,3] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [5,7,2,6,1,4,3] => [[1,2],[3,4],[5,6],[7]] => 4

[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [6,5,3,1,7,4,2] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [5,7,3,1,6,4,2] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [6,5,2,1,7,4,3] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [5,7,2,1,6,4,3] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [6,5,1,7,4,3,2] => [[1,4],[2,5],[3],[6],[7]] => 2

[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [5,7,1,6,4,3,2] => [[1,2],[3,4],[5],[6],[7]] => 3

[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [6,4,3,2,1,7,5] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [6,3,7,2,1,5,4] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [6,4,2,7,1,5,3] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [6,3,2,7,1,5,4] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [6,2,7,5,1,4,3] => [[1,3],[2,4],[5,6],[7]] => 3

[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [6,4,3,1,7,5,2] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [6,3,7,1,5,4,2] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [6,4,2,1,7,5,3] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [6,4,1,7,5,3,2] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [6,3,2,1,7,5,4] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [6,2,7,1,5,4,3] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [6,3,1,7,5,4,2] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [6,2,1,7,5,4,3] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [6,1,7,5,4,3,2] => [[1,3],[2,4],[5],[6],[7]] => 2

[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => 2

[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,7,3,2,1,6,5] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [5,3,7,2,1,6,4] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,7,2,1,6,5] => [[1,3],[2,6],[4,7],[5]] => 3

[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,7,6,2,1,5,4] => [[1,2],[3,6],[4,7],[5]] => 3

[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [5,4,2,7,1,6,3] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [4,7,2,6,1,5,3] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [5,3,2,7,1,6,4] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [5,2,7,6,1,4,3] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,7,1,6,5] => [[1,4],[2,6],[3,7],[5]] => 3

[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,7,2,6,1,5,4] => [[1,2],[3,4],[5,6],[7]] => 4

[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [4,2,7,6,1,5,3] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,7,6,1,5,4] => [[1,3],[2,4],[5,6],[7]] => 3

[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,7,6,5,1,4,3] => [[1,2],[3,6],[4],[5],[7]] => 3

[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [5,4,3,1,7,6,2] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [4,7,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [5,3,7,1,6,4,2] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [4,3,7,1,6,5,2] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [3,7,6,1,5,4,2] => [[1,2],[3,5],[4],[6],[7]] => 3

[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [5,4,2,1,7,6,3] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,7,2,1,6,5,3] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [5,4,1,7,6,3,2] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [4,7,1,6,5,3,2] => [[1,2],[3,4],[5],[6],[7]] => 3

[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [5,3,2,1,7,6,4] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [5,2,7,1,6,4,3] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [5,3,1,7,6,4,2] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [5,2,1,7,6,4,3] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [5,1,7,6,4,3,2] => [[1,3],[2,4],[5],[6],[7]] => 2

[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 2

[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,7,2,1,6,5,4] => [[1,2],[3,5],[4,6],[7]] => 3

[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,2,7,1,6,5,3] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,7,1,6,5,4] => [[1,3],[2,5],[4,6],[7]] => 3

[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,7,6,1,5,4,3] => [[1,2],[3,5],[4],[6],[7]] => 3

[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [4,3,1,7,6,5,2] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => 3

[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [4,2,1,7,6,5,3] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [4,1,7,6,5,3,2] => [[1,3],[2,4],[5],[6],[7]] => 2

[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 2

[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,7,1,6,5,4,3] => [[1,2],[3,4],[5],[6],[7]] => 3

[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [3,1,7,6,5,4,2] => [[1,3],[2,4],[5],[6],[7]] => 2

[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 2

[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 2

[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [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

[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [8,6,7,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,6,8,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [8,7,5,6,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [7,8,5,6,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [8,6,5,7,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [8,5,7,6,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,6,5,8,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [6,8,5,7,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [7,5,8,6,4,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,5,8,7,4,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [8,7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [7,8,6,4,5,3,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [8,6,7,4,5,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [7,6,8,4,5,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [6,8,7,4,5,3,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [8,7,5,4,6,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [8,7,4,6,5,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 2

[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [8,6,5,4,7,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [8,5,7,4,6,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [8,6,4,7,5,3,2,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [8,5,4,7,6,3,2,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [8,4,7,6,5,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,5,4,8,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [6,8,5,4,7,3,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [7,5,8,4,6,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,5,8,4,7,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [5,8,7,4,6,3,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [7,6,4,8,5,3,2,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [7,4,8,6,5,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,8,4,7,6,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [6,4,8,7,5,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [8,7,6,5,3,4,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [7,8,6,5,3,4,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [8,6,7,5,3,4,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [7,6,8,5,3,4,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [8,7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [7,8,5,6,3,4,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [7,6,5,8,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [6,5,8,7,3,4,2,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [5,8,7,6,3,4,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [8,7,6,4,3,5,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [7,8,6,4,3,5,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [8,6,7,4,3,5,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [7,6,8,4,3,5,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [6,8,7,4,3,5,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [8,7,6,3,5,4,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [7,8,6,3,5,4,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [8,6,7,3,5,4,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [7,6,8,3,5,4,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [6,8,7,3,5,4,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [8,7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [7,8,5,4,3,6,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [8,7,4,6,3,5,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [8,7,5,3,6,4,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [7,8,5,3,6,4,2,1] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [8,7,4,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [8,7,3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 2

[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [8,6,5,4,3,7,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [8,5,4,7,3,6,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [8,6,4,3,7,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [8,5,4,3,7,6,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [8,4,3,7,6,5,2,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [8,3,7,6,5,4,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,6,5,4,3,8,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [6,8,5,4,3,7,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [7,5,8,4,3,6,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [6,5,8,4,3,7,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [5,8,7,4,3,6,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [7,6,4,8,3,5,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [6,8,4,7,3,5,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [7,5,4,8,3,6,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [7,4,8,6,3,5,2,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [6,5,4,8,3,7,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [6,4,8,7,3,5,2,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,4,8,7,3,6,2,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,8,7,6,3,5,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [7,6,4,3,8,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [7,6,3,8,5,4,2,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [7,5,4,3,8,6,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [7,5,3,8,6,4,2,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [7,3,8,6,5,4,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [6,5,4,3,8,7,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [4,8,7,3,6,5,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [6,3,8,7,5,4,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [5,4,3,8,7,6,2,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,3,8,7,6,5,2,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [3,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [8,7,6,5,4,2,3,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [7,8,6,5,4,2,3,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [8,6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [7,6,8,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [8,7,5,6,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [8,6,5,7,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [8,5,7,6,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [7,6,5,8,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [6,8,5,7,4,2,3,1] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [5,8,7,6,4,2,3,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [8,7,6,4,5,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [8,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [7,6,8,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [8,7,5,4,6,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [8,7,4,6,5,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [8,6,5,4,7,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [8,5,7,4,6,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [8,6,4,7,5,2,3,1] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [8,4,7,6,5,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [7,6,5,4,8,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [7,5,8,4,6,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [6,5,8,4,7,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [7,6,4,8,5,2,3,1] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [4,8,7,6,5,2,3,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [8,7,6,5,3,2,4,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [7,8,6,5,3,2,4,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [8,6,7,5,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [7,6,8,5,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [6,8,7,5,3,2,4,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [8,7,5,6,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [8,6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [8,5,7,6,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [7,6,5,8,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [5,8,7,6,3,2,4,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [8,7,6,5,2,4,3,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [8,6,7,5,2,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [7,6,8,5,2,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [7,8,5,6,2,4,3,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [8,6,5,7,2,4,3,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [8,5,7,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [7,6,5,8,2,4,3,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [6,5,8,7,2,4,3,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [5,8,7,6,2,4,3,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [8,7,6,4,3,2,5,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [7,8,6,4,3,2,5,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [8,6,7,4,3,2,5,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [7,6,8,4,3,2,5,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [6,8,7,4,3,2,5,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [8,7,6,3,5,2,4,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [8,6,7,3,5,2,4,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [7,6,8,3,5,2,4,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [6,8,7,3,5,2,4,1] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [7,6,8,4,2,5,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [6,8,7,4,2,5,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [8,7,6,3,2,5,4,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [7,8,6,3,2,5,4,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [8,7,6,2,5,4,3,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [8,6,7,2,5,4,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [6,8,7,2,5,4,3,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [8,7,5,4,3,2,6,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [7,8,5,4,3,2,6,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [8,7,5,3,6,2,4,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [7,8,5,3,6,2,4,1] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [8,7,4,3,6,2,5,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [8,7,5,3,2,6,4,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [7,8,4,3,2,6,5,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [7,8,3,6,2,5,4,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [7,8,4,2,6,5,3,1] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [7,8,3,2,6,5,4,1] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [7,8,2,6,5,4,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [8,6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [8,5,7,4,3,2,6,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [8,6,4,7,3,2,5,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [8,6,5,3,7,2,4,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [8,5,7,3,6,2,4,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [8,6,4,3,7,2,5,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [8,6,3,7,5,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [8,5,4,3,7,2,6,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [8,4,7,3,6,2,5,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [8,3,7,6,5,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [8,6,5,4,2,7,3,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [8,5,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [8,6,4,2,7,5,3,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [8,5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [8,5,3,7,2,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [8,3,7,6,2,5,4,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [8,5,4,2,7,6,3,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [8,4,7,2,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [8,4,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [8,3,7,2,6,5,4,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [8,3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [8,2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,8,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,8,5,4,3,2,7,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [7,5,8,4,3,2,6,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,8,4,3,2,7,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [7,6,4,8,3,2,5,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [6,8,4,7,3,2,5,1] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [7,4,8,6,3,2,5,1] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [6,5,4,8,3,2,7,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [6,4,8,7,3,2,5,1] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,8,7,6,3,2,5,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [7,6,5,3,8,2,4,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [7,5,8,3,6,2,4,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [6,5,8,3,7,2,4,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [5,8,7,3,6,2,4,1] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [7,6,4,3,8,2,5,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [7,5,4,3,8,2,6,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [7,4,8,3,6,2,5,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [7,5,3,8,6,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,5,4,3,8,2,7,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [6,4,8,3,7,2,5,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,4,8,3,7,2,6,1] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [4,8,7,3,6,2,5,1] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [6,5,3,8,7,2,4,1] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [5,8,3,7,6,2,4,1] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [6,4,3,8,7,2,5,1] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [6,3,8,7,5,2,4,1] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [4,8,3,7,6,2,5,1] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [4,3,8,7,6,2,5,1] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [3,8,7,6,5,2,4,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [6,8,5,4,2,7,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [6,5,8,4,2,7,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [5,8,7,4,2,6,3,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [6,8,4,7,2,5,3,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [7,5,4,8,2,6,3,1] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [7,4,8,6,2,5,3,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [6,5,4,8,2,7,3,1] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [5,8,4,7,2,6,3,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [6,4,8,7,2,5,3,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [5,4,8,7,2,6,3,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [4,8,7,6,2,5,3,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [5,8,7,2,6,4,3,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [6,8,4,3,2,7,5,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [7,6,4,2,8,5,3,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [7,6,3,2,8,5,4,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [6,8,3,2,7,5,4,1] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [6,8,2,7,5,4,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [7,4,3,8,2,6,5,1] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [7,4,8,2,6,5,3,1] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [7,5,3,2,8,6,4,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [7,5,2,8,6,4,3,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [7,4,2,8,6,5,3,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [7,3,2,8,6,5,4,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [7,2,8,6,5,4,3,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [6,5,4,3,2,8,7,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [5,4,8,3,2,7,6,1] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [4,8,7,3,2,6,5,1] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [6,5,3,8,2,7,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [6,3,8,7,2,5,4,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [5,4,3,8,2,7,6,1] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [4,3,8,7,2,6,5,1] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [3,8,7,6,2,5,4,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [5,4,8,2,7,6,3,1] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [4,8,7,2,6,5,3,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [6,5,2,8,7,4,3,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [5,8,2,7,6,4,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [6,2,8,7,5,4,3,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,4,3,2,8,7,6,1] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [4,8,3,2,7,6,5,1] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [5,3,8,2,7,6,4,1] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [4,3,8,2,7,6,5,1] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,8,7,2,6,5,4,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [4,8,2,7,6,5,3,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [5,2,8,7,6,4,3,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,3,2,8,7,6,5,1] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,8,2,7,6,5,4,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [4,2,8,7,6,5,3,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,2,8,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [8,7,6,5,4,3,1,2] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,8,6,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [8,6,7,5,4,3,1,2] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [7,6,8,5,4,3,1,2] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [6,8,7,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [8,7,5,6,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [7,8,5,6,4,3,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [8,6,5,7,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [7,6,5,8,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [6,5,8,7,4,3,1,2] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [5,8,7,6,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [8,7,6,4,5,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [7,8,6,4,5,3,1,2] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [8,6,7,4,5,3,1,2] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [6,8,7,4,5,3,1,2] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [8,7,5,4,6,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [7,8,4,6,5,3,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [8,6,4,7,5,3,1,2] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [8,5,4,7,6,3,1,2] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [7,6,5,4,8,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [7,5,8,4,6,3,1,2] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [7,6,4,8,5,3,1,2] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [6,8,4,7,5,3,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [5,8,4,7,6,3,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [4,8,7,6,5,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [8,7,6,5,3,4,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [7,8,6,5,3,4,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [7,6,8,5,3,4,1,2] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [6,8,7,5,3,4,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [8,7,5,6,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [8,6,5,7,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [8,5,7,6,3,4,1,2] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [7,6,5,8,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [6,8,5,7,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [7,5,8,6,3,4,1,2] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [6,5,8,7,3,4,1,2] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [5,8,7,6,3,4,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [6,8,7,4,3,5,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [8,7,6,3,5,4,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [7,8,5,4,3,6,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [8,7,4,6,3,5,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [7,8,4,6,3,5,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [7,8,5,3,6,4,1,2] => [[1,2],[3,5],[4,6],[7,8]] => 4

[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [8,7,4,3,6,5,1,2] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [7,8,4,3,6,5,1,2] => [[1,2],[3,5],[4,6],[7,8]] => 4

[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [7,8,3,6,5,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [8,6,5,4,3,7,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [8,5,4,7,3,6,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [8,5,4,3,7,6,1,2] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [8,5,3,7,6,4,1,2] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [8,4,3,7,6,5,1,2] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [7,6,5,4,3,8,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [7,5,8,4,3,6,1,2] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [6,5,8,4,3,7,1,2] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [5,8,7,4,3,6,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [6,8,4,7,3,5,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [6,5,4,8,3,7,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [5,8,4,7,3,6,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [6,4,8,7,3,5,1,2] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [5,4,8,7,3,6,1,2] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [7,6,5,3,8,4,1,2] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [7,5,8,3,6,4,1,2] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [7,6,4,3,8,5,1,2] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [7,6,3,8,5,4,1,2] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [7,4,8,3,6,5,1,2] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [7,5,3,8,6,4,1,2] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [7,3,8,6,5,4,1,2] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [6,5,4,3,8,7,1,2] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [5,8,4,3,7,6,1,2] => [[1,2],[3,5],[4,6],[7,8]] => 4

[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [5,4,8,3,7,6,1,2] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [4,8,7,3,6,5,1,2] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [6,5,3,8,7,4,1,2] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [5,8,3,7,6,4,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [6,4,3,8,7,5,1,2] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [6,3,8,7,5,4,1,2] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [5,4,3,8,7,6,1,2] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [4,8,3,7,6,5,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [5,3,8,7,6,4,1,2] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [4,3,8,7,6,5,1,2] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [3,8,7,6,5,4,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [8,7,6,5,4,2,1,3] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [7,8,6,5,4,2,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [8,6,7,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,8,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [6,8,7,5,4,2,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [8,7,5,6,4,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [7,8,5,6,4,2,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [7,6,5,8,4,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [6,8,5,7,4,2,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [7,5,8,6,4,2,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [6,5,8,7,4,2,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [5,8,7,6,4,2,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [8,7,6,4,5,2,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [8,7,4,6,5,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [8,6,4,7,5,2,1,3] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [8,4,7,6,5,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [7,6,5,4,8,2,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [6,5,8,4,7,2,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [5,8,7,4,6,2,1,3] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [7,6,4,8,5,2,1,3] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [7,5,4,8,6,2,1,3] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [7,4,8,6,5,2,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [4,8,7,6,5,2,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [8,7,6,5,4,1,3,2] => [[1,7],[2],[3],[4],[5],[6],[8]] => 2

[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [7,8,6,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [7,6,8,5,4,1,3,2] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,8,7,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [7,8,5,6,4,1,3,2] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [8,6,5,7,4,1,3,2] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [8,5,7,6,4,1,3,2] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [7,6,5,8,4,1,3,2] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [7,5,8,6,4,1,3,2] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [6,5,8,7,4,1,3,2] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [5,8,7,6,4,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [8,7,6,4,5,1,3,2] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [8,6,7,4,5,1,3,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [6,8,7,4,5,1,3,2] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [8,7,5,4,6,1,3,2] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [8,7,4,6,5,1,3,2] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [8,6,5,4,7,1,3,2] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [8,5,7,4,6,1,3,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [8,6,4,7,5,1,3,2] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [8,4,7,6,5,1,3,2] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [7,6,5,4,8,1,3,2] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [6,8,5,4,7,1,3,2] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [7,5,8,4,6,1,3,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [6,5,8,4,7,1,3,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [5,8,7,4,6,1,3,2] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [7,6,4,8,5,1,3,2] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [6,8,4,7,5,1,3,2] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [7,4,8,6,5,1,3,2] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [6,5,4,8,7,1,3,2] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [5,4,8,7,6,1,3,2] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [4,8,7,6,5,1,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [8,7,6,5,3,2,1,4] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [7,8,6,5,3,2,1,4] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [8,6,7,5,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [7,6,8,5,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [6,8,7,5,3,2,1,4] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [8,7,5,6,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [7,8,5,6,3,2,1,4] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [8,6,5,7,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [8,5,7,6,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,8,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [6,8,5,7,3,2,1,4] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [7,5,8,6,3,2,1,4] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [6,5,8,7,3,2,1,4] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [5,8,7,6,3,2,1,4] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [8,7,6,5,2,4,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [6,8,7,5,2,4,1,3] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [8,7,5,6,2,4,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [7,8,5,6,2,4,1,3] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [8,6,5,7,2,4,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [7,6,5,8,2,4,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [6,8,5,7,2,4,1,3] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [7,5,8,6,2,4,1,3] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [6,5,8,7,2,4,1,3] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [5,8,7,6,2,4,1,3] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [8,7,6,5,3,1,4,2] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [8,6,7,5,3,1,4,2] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [8,7,5,6,3,1,4,2] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [7,8,5,6,3,1,4,2] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [7,6,5,8,3,1,4,2] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,8,5,7,3,1,4,2] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [7,5,8,6,3,1,4,2] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [6,5,8,7,3,1,4,2] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [5,8,7,6,3,1,4,2] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [8,7,6,5,2,1,4,3] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [7,8,6,5,2,1,4,3] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [7,6,8,5,2,1,4,3] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [6,8,7,5,2,1,4,3] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [8,7,5,6,2,1,4,3] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [7,8,5,6,2,1,4,3] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [8,6,5,7,2,1,4,3] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [8,5,7,6,2,1,4,3] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [7,6,5,8,2,1,4,3] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [6,8,5,7,2,1,4,3] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [7,5,8,6,2,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,8,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [5,8,7,6,2,1,4,3] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [8,7,6,5,1,4,3,2] => [[1,6],[2],[3],[4],[5],[7],[8]] => 2

[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [7,8,6,5,1,4,3,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [8,6,7,5,1,4,3,2] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [7,6,8,5,1,4,3,2] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [6,8,7,5,1,4,3,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [8,7,5,6,1,4,3,2] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [7,8,5,6,1,4,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [8,6,5,7,1,4,3,2] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [8,5,7,6,1,4,3,2] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [7,6,5,8,1,4,3,2] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [6,8,5,7,1,4,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [7,5,8,6,1,4,3,2] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [6,5,8,7,1,4,3,2] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,8,7,6,1,4,3,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [8,7,6,4,3,2,1,5] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [7,8,6,4,3,2,1,5] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [8,6,7,4,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [7,6,8,4,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [6,8,7,4,3,2,1,5] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [8,7,6,3,5,2,1,4] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [6,8,7,3,5,2,1,4] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [8,7,6,4,2,5,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [6,8,7,4,2,5,1,3] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [8,7,6,3,2,5,1,4] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [6,8,7,3,2,5,1,4] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [8,7,6,2,5,4,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [6,8,7,2,5,4,1,3] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [8,7,6,4,3,1,5,2] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [8,7,6,3,5,1,4,2] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [7,8,6,3,5,1,4,2] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [8,6,7,3,5,1,4,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [6,8,7,3,5,1,4,2] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [8,7,6,4,2,1,5,3] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [8,7,6,4,1,5,3,2] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [7,6,8,4,1,5,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [8,7,6,3,2,1,5,4] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [7,6,8,3,2,1,5,4] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [8,7,6,2,5,1,4,3] => [[1,5],[2,7],[3],[4],[6],[8]] => 3

[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [8,6,7,2,5,1,4,3] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [7,6,8,2,5,1,4,3] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [7,8,6,3,1,5,4,2] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [7,6,8,3,1,5,4,2] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [6,8,7,3,1,5,4,2] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [7,8,6,2,1,5,4,3] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [6,8,7,2,1,5,4,3] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [8,7,6,1,5,4,3,2] => [[1,5],[2],[3],[4],[6],[7],[8]] => 2

[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [7,8,6,1,5,4,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [8,6,7,1,5,4,3,2] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [7,6,8,1,5,4,3,2] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [6,8,7,1,5,4,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [8,7,5,4,3,2,1,6] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [7,8,5,4,3,2,1,6] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [8,7,4,6,3,2,1,5] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [7,8,4,6,3,2,1,5] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [8,7,3,6,5,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [7,8,3,6,5,2,1,4] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [8,7,4,6,2,5,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [7,8,4,6,2,5,1,3] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [8,7,5,3,2,6,1,4] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [8,7,4,3,2,6,1,5] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [8,7,3,6,2,5,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [7,8,3,6,2,5,1,4] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [8,7,2,6,5,4,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [7,8,2,6,5,4,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [8,7,5,4,3,1,6,2] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [7,8,5,4,3,1,6,2] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [7,8,5,3,6,1,4,2] => [[1,2],[3,5],[4,7],[6,8]] => 4

[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [8,7,3,6,5,1,4,2] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [7,8,5,4,2,1,6,3] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [7,8,5,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [8,7,4,6,1,5,3,2] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [8,7,5,3,2,1,6,4] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [7,8,5,3,2,1,6,4] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [8,7,5,3,1,6,4,2] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [7,8,5,3,1,6,4,2] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [8,7,5,2,1,6,4,3] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [7,8,5,2,1,6,4,3] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [8,7,5,1,6,4,3,2] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [7,8,5,1,6,4,3,2] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [8,7,4,3,2,1,6,5] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [7,8,4,3,2,1,6,5] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [8,7,3,6,2,1,5,4] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [7,8,3,6,2,1,5,4] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [7,8,4,2,6,1,5,3] => [[1,2],[3,5],[4,7],[6,8]] => 4

[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [8,7,3,2,6,1,5,4] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [8,7,2,6,5,1,4,3] => [[1,4],[2,7],[3],[5],[6],[8]] => 3

[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [7,8,2,6,5,1,4,3] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [8,7,3,6,1,5,4,2] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [7,8,3,6,1,5,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [8,7,4,2,1,6,5,3] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [7,8,4,2,1,6,5,3] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [8,7,4,1,6,5,3,2] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [7,8,4,1,6,5,3,2] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [8,7,3,2,1,6,5,4] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [7,8,3,2,1,6,5,4] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [8,7,2,6,1,5,4,3] => [[1,4],[2,6],[3],[5],[7],[8]] => 3

[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [7,8,2,6,1,5,4,3] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [7,8,3,1,6,5,4,2] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [8,7,2,1,6,5,4,3] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [7,8,2,1,6,5,4,3] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [8,7,1,6,5,4,3,2] => [[1,4],[2],[3],[5],[6],[7],[8]] => 2

[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [7,8,1,6,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [8,6,5,4,3,2,1,7] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [8,5,7,4,3,2,1,6] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [8,4,7,6,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [8,6,5,3,7,2,1,4] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [8,4,7,3,6,2,1,5] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [8,4,3,7,6,2,1,5] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [8,5,7,4,2,6,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [8,6,4,7,2,5,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [8,4,7,6,2,5,1,3] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [8,6,5,3,2,7,1,4] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [8,6,4,2,7,5,1,3] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [8,6,3,2,7,5,1,4] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [8,4,3,7,2,6,1,5] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [8,5,4,2,7,6,1,3] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [8,4,7,2,6,5,1,3] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [8,5,3,2,7,6,1,4] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [8,3,7,2,6,5,1,4] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [8,3,2,7,6,5,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [8,2,7,6,5,4,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [8,6,5,4,3,1,7,2] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [8,6,4,7,3,1,5,2] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [8,5,7,3,6,1,4,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [8,4,7,3,6,1,5,2] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [8,5,3,7,6,1,4,2] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [8,4,3,7,6,1,5,2] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [8,3,7,6,5,1,4,2] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [8,6,5,4,2,1,7,3] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [8,5,7,4,2,1,6,3] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [8,4,7,6,2,1,5,3] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [8,5,7,4,1,6,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [8,6,4,7,1,5,3,2] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [8,6,5,3,2,1,7,4] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [8,5,7,3,2,1,6,4] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [8,6,5,2,7,1,4,3] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [8,5,7,2,6,1,4,3] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [8,5,7,3,1,6,4,2] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [8,6,5,2,1,7,4,3] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [8,5,7,2,1,6,4,3] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [8,6,5,1,7,4,3,2] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [8,5,7,1,6,4,3,2] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [8,6,4,3,2,1,7,5] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [8,6,3,7,2,1,5,4] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [8,6,3,2,7,1,5,4] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [8,6,2,7,5,1,4,3] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [8,6,3,7,1,5,4,2] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [8,6,4,2,1,7,5,3] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [8,6,4,1,7,5,3,2] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [8,6,3,2,1,7,5,4] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [8,6,1,7,5,4,3,2] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [8,5,4,3,2,1,7,6] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [8,3,7,6,2,1,5,4] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [8,4,7,2,6,1,5,3] => [[1,3],[2,5],[4,7],[6],[8]] => 4

[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [8,5,2,7,6,1,4,3] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [8,4,2,7,6,1,5,3] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [8,2,7,6,5,1,4,3] => [[1,3],[2,7],[4],[5],[6],[8]] => 3

[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [8,5,3,7,1,6,4,2] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [8,3,7,6,1,5,4,2] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [8,5,4,2,1,7,6,3] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [8,5,4,1,7,6,3,2] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [8,4,7,1,6,5,3,2] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [8,5,2,1,7,6,4,3] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [8,5,1,7,6,4,3,2] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [8,4,3,2,1,7,6,5] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [8,3,7,2,1,6,5,4] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [8,4,2,7,1,6,5,3] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [8,2,7,6,1,5,4,3] => [[1,3],[2,6],[4],[5],[7],[8]] => 3

[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [8,3,7,1,6,5,4,2] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [8,4,2,1,7,6,5,3] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [8,4,1,7,6,5,3,2] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [8,3,2,1,7,6,5,4] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [8,2,7,1,6,5,4,3] => [[1,3],[2,5],[4],[6],[7],[8]] => 3

[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [8,3,1,7,6,5,4,2] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [8,2,1,7,6,5,4,3] => [[1,4],[2,5],[3],[6],[7],[8]] => 2

[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [8,1,7,6,5,4,3,2] => [[1,3],[2],[4],[5],[6],[7],[8]] => 2

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => 2

[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,8,5,4,3,2,1,7] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [7,5,8,4,3,2,1,6] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,5,8,4,3,2,1,7] => [[1,3],[2,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,8,7,4,3,2,1,6] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [7,6,4,8,3,2,1,5] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [6,8,4,7,3,2,1,5] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,5,4,8,3,2,1,7] => [[1,4],[2,8],[3],[5],[6],[7]] => 3

[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,8,4,7,3,2,1,6] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,8,7,6,3,2,1,5] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [6,8,5,3,7,2,1,4] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [7,5,8,3,6,2,1,4] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [6,5,8,3,7,2,1,4] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [7,6,4,3,8,2,1,5] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [6,8,4,3,7,2,1,5] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [7,6,3,8,5,2,1,4] => [[1,4],[2,5],[3,8],[6],[7]] => 3

[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [7,5,4,3,8,2,1,6] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [7,4,8,3,6,2,1,5] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [7,3,8,6,5,2,1,4] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [6,5,4,3,8,2,1,7] => [[1,5],[2,8],[3],[4],[6],[7]] => 3

[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [5,8,4,3,7,2,1,6] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [5,4,8,3,7,2,1,6] => [[1,3],[2,5],[4,8],[6],[7]] => 4

[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [3,8,7,6,5,2,1,4] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [7,6,5,4,2,8,1,3] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [6,8,5,4,2,7,1,3] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [5,8,7,4,2,6,1,3] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [7,6,4,8,2,5,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [6,8,4,7,2,5,1,3] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [7,5,4,8,2,6,1,3] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [5,8,4,7,2,6,1,3] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [5,4,8,7,2,6,1,3] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [6,5,8,3,2,7,1,4] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [5,8,7,3,2,6,1,4] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [7,6,5,2,8,4,1,3] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [6,8,5,2,7,4,1,3] => [[1,2],[3,5],[4,6],[7,8]] => 4

[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [7,5,8,2,6,4,1,3] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [6,5,8,2,7,4,1,3] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [5,8,7,2,6,4,1,3] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [6,8,4,3,2,7,1,5] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [6,8,3,7,2,5,1,4] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [7,6,4,2,8,5,1,3] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [6,8,4,2,7,5,1,3] => [[1,2],[3,5],[4,6],[7,8]] => 4

[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [7,6,3,2,8,5,1,4] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [6,8,3,2,7,5,1,4] => [[1,2],[3,5],[4,6],[7,8]] => 4

[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [6,8,2,7,5,4,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [7,5,4,3,2,8,1,6] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [7,4,8,3,2,6,1,5] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [7,5,3,8,2,6,1,4] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [7,4,3,8,2,6,1,5] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [7,5,4,2,8,6,1,3] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [7,4,8,2,6,5,1,3] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [7,5,3,2,8,6,1,4] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [7,4,2,8,6,5,1,3] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [7,2,8,6,5,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [6,5,4,3,2,8,1,7] => [[1,6],[2,8],[3],[4],[5],[7]] => 3

[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [5,4,8,3,2,7,1,6] => [[1,3],[2,6],[4,8],[5],[7]] => 4

[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [5,8,3,7,2,6,1,4] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [6,3,8,7,2,5,1,4] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [5,4,3,8,2,7,1,6] => [[1,4],[2,6],[3,8],[5],[7]] => 4

[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,8,3,7,2,6,1,5] => [[1,2],[3,4],[5,6],[7,8]] => 5

[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,3,8,7,2,6,1,5] => [[1,3],[2,4],[5,6],[7,8]] => 4

[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [3,8,7,6,2,5,1,4] => [[1,2],[3,6],[4,8],[5],[7]] => 4

[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [5,4,8,2,7,6,1,3] => [[1,3],[2,5],[4,6],[7,8]] => 4

[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [6,5,3,2,8,7,1,4] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [6,4,2,8,7,5,1,3] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [6,3,2,8,7,5,1,4] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [6,2,8,7,5,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,4,3,2,8,7,1,6] => [[1,5],[2,6],[3,8],[4],[7]] => 3

[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [3,8,7,2,6,5,1,4] => [[1,2],[3,5],[4,8],[6],[7]] => 4

[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [5,4,2,8,7,6,1,3] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [4,8,2,7,6,5,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [5,2,8,7,6,4,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [4,3,2,8,7,6,1,5] => [[1,4],[2,5],[3,6],[7,8]] => 3

[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [3,8,2,7,6,5,1,4] => [[1,2],[3,4],[5,8],[6],[7]] => 4

[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [4,2,8,7,6,5,1,3] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,2,8,7,6,5,1,4] => [[1,3],[2,4],[5,8],[6],[7]] => 3

[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,8,7,6,5,4,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 3

[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [7,6,5,4,3,1,8,2] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [6,8,5,4,3,1,7,2] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [7,5,8,4,3,1,6,2] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [7,6,4,8,3,1,5,2] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [7,4,8,6,3,1,5,2] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [4,8,7,6,3,1,5,2] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [7,5,8,3,6,1,4,2] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [6,5,8,3,7,1,4,2] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [6,8,3,7,5,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [7,5,3,8,6,1,4,2] => [[1,4],[2,5],[3,7],[6,8]] => 3

[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [6,5,4,3,8,1,7,2] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [6,4,8,3,7,1,5,2] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [5,8,3,7,6,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [6,4,3,8,7,1,5,2] => [[1,4],[2,5],[3,7],[6,8]] => 3

[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [6,3,8,7,5,1,4,2] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [4,3,8,7,6,1,5,2] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [3,8,7,6,5,1,4,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [7,6,5,4,2,1,8,3] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [6,5,8,4,2,1,7,3] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [7,6,4,8,2,1,5,3] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [7,4,8,6,2,1,5,3] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [7,6,5,4,1,8,3,2] => [[1,6],[2,7],[3],[4],[5],[8]] => 2

[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [7,5,8,4,1,6,3,2] => [[1,3],[2,6],[4,7],[5],[8]] => 3

[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [5,8,7,4,1,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [7,6,4,8,1,5,3,2] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [7,5,4,8,1,6,3,2] => [[1,4],[2,6],[3,7],[5],[8]] => 3

[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [7,4,8,6,1,5,3,2] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [5,8,4,7,1,6,3,2] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [5,4,8,7,1,6,3,2] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [4,8,7,6,1,5,3,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [7,6,5,3,2,1,8,4] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [7,6,5,2,8,1,4,3] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [6,8,5,2,7,1,4,3] => [[1,2],[3,5],[4,7],[6,8]] => 4

[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [7,5,8,2,6,1,4,3] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [6,5,8,2,7,1,4,3] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [5,8,7,2,6,1,4,3] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [7,5,8,3,1,6,4,2] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [5,8,7,3,1,6,4,2] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [7,6,5,2,1,8,4,3] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [6,8,5,2,1,7,4,3] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [7,5,8,2,1,6,4,3] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [5,8,7,2,1,6,4,3] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [7,6,5,1,8,4,3,2] => [[1,5],[2,6],[3],[4],[7],[8]] => 2

[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [6,8,5,1,7,4,3,2] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [7,5,8,1,6,4,3,2] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [6,5,8,1,7,4,3,2] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [5,8,7,1,6,4,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [7,6,4,3,2,1,8,5] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [7,6,3,8,2,1,5,4] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [6,8,3,7,2,1,5,4] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [7,6,4,2,8,1,5,3] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [6,8,4,2,7,1,5,3] => [[1,2],[3,5],[4,7],[6,8]] => 4

[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [7,6,3,2,8,1,5,4] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [6,8,3,2,7,1,5,4] => [[1,2],[3,5],[4,7],[6,8]] => 4

[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [7,6,2,8,5,1,4,3] => [[1,4],[2,5],[3,7],[6],[8]] => 3

[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [6,8,2,7,5,1,4,3] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [7,6,4,3,1,8,5,2] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [7,6,3,2,1,8,5,4] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [6,8,3,1,7,5,4,2] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [6,8,1,7,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [7,5,4,3,2,1,8,6] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [7,4,8,3,2,1,6,5] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [7,4,3,8,2,1,6,5] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [7,5,4,2,8,1,6,3] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [7,5,3,2,8,1,6,4] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [7,5,2,8,6,1,4,3] => [[1,4],[2,5],[3,7],[6,8]] => 3

[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [7,2,8,6,5,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [7,5,3,8,1,6,4,2] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [7,4,8,1,6,5,3,2] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [7,5,3,2,1,8,6,4] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [7,5,2,8,1,6,4,3] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [7,5,3,1,8,6,4,2] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [7,5,1,8,6,4,3,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [7,4,3,2,1,8,6,5] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [7,4,3,1,8,6,5,2] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [7,3,8,1,6,5,4,2] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [7,3,2,1,8,6,5,4] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [7,3,1,8,6,5,4,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [7,2,1,8,6,5,4,3] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [7,1,8,6,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,8,7] => [[1,7],[2,8],[3],[4],[5],[6]] => 2

[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [5,8,4,3,2,1,7,6] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [5,4,8,3,2,1,7,6] => [[1,3],[2,7],[4,8],[5],[6]] => 3

[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [4,8,7,3,2,1,6,5] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [6,5,3,8,2,1,7,4] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [5,8,3,7,2,1,6,4] => [[1,2],[3,4],[5,7],[6,8]] => 4

[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [6,3,8,7,2,1,5,4] => [[1,3],[2,4],[5,7],[6,8]] => 3

[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,4,3,8,2,1,7,6] => [[1,4],[2,7],[3,8],[5],[6]] => 3

[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [3,8,7,6,2,1,5,4] => [[1,2],[3,7],[4,8],[5],[6]] => 3

[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [5,4,8,2,7,1,6,3] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [5,8,3,2,7,1,6,4] => [[1,2],[3,5],[4,7],[6,8]] => 4

[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [6,5,2,8,7,1,4,3] => [[1,4],[2,5],[3,7],[6,8]] => 3

[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [5,8,2,7,6,1,4,3] => [[1,2],[3,4],[5,7],[6],[8]] => 4

[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [6,2,8,7,5,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,4,3,2,8,1,7,6] => [[1,5],[2,7],[3,8],[4],[6]] => 3

[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [4,3,8,2,7,1,6,5] => [[1,3],[2,5],[4,7],[6,8]] => 4

[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,8,7,2,6,1,5,4] => [[1,2],[3,5],[4,7],[6],[8]] => 4

[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [5,3,2,8,7,1,6,4] => [[1,4],[2,5],[3,7],[6,8]] => 3

[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [5,2,8,7,6,1,4,3] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [4,3,2,8,7,1,6,5] => [[1,4],[2,5],[3,7],[6,8]] => 3

[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [4,2,8,7,6,1,5,3] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [3,2,8,7,6,1,5,4] => [[1,3],[2,4],[5,7],[6],[8]] => 3

[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,8,7,6,5,1,4,3] => [[1,2],[3,7],[4],[5],[6],[8]] => 3

[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [6,5,4,3,1,8,7,2] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [5,8,4,3,1,7,6,2] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [6,4,8,3,1,7,5,2] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [5,4,8,3,1,7,6,2] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [5,8,3,7,1,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [6,4,3,8,1,7,5,2] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [5,4,3,8,1,7,6,2] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [3,8,7,6,1,5,4,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [5,8,4,2,1,7,6,3] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [5,4,8,2,1,7,6,3] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [4,8,7,2,1,6,5,3] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [6,5,4,1,8,7,3,2] => [[1,5],[2,6],[3,7],[4],[8]] => 2

[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [4,8,7,1,6,5,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [6,5,3,2,1,8,7,4] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [5,8,3,2,1,7,6,4] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [6,5,1,8,7,4,3,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [5,8,1,7,6,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [6,4,3,2,1,8,7,5] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [6,3,8,2,1,7,5,4] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [6,4,3,1,8,7,5,2] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [6,4,2,1,8,7,5,3] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [6,4,1,8,7,5,3,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [6,3,2,1,8,7,5,4] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [6,2,8,1,7,5,4,3] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [6,3,1,8,7,5,4,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [6,2,1,8,7,5,4,3] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [6,1,8,7,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,8,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => 2

[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,8,3,2,1,7,6,5] => [[1,2],[3,6],[4,7],[5,8]] => 3

[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [5,3,8,2,1,7,6,4] => [[1,3],[2,6],[4,7],[5,8]] => 3

[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,8,7,2,1,6,5,4] => [[1,2],[3,6],[4,7],[5],[8]] => 3

[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [5,4,2,8,1,7,6,3] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [4,8,2,7,1,6,5,3] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [5,3,2,8,1,7,6,4] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [5,2,8,7,1,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [4,3,2,8,1,7,6,5] => [[1,4],[2,6],[3,7],[5,8]] => 3

[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [3,8,2,7,1,6,5,4] => [[1,2],[3,4],[5,6],[7],[8]] => 4

[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [4,2,8,7,1,6,5,3] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [3,2,8,7,1,6,5,4] => [[1,3],[2,4],[5,6],[7],[8]] => 3

[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,8,7,6,1,5,4,3] => [[1,2],[3,6],[4],[5],[7],[8]] => 3

[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [5,4,3,1,8,7,6,2] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [5,3,8,1,7,6,4,2] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [3,8,7,1,6,5,4,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [5,4,2,1,8,7,6,3] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [5,4,1,8,7,6,3,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [4,8,1,7,6,5,3,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [5,3,2,1,8,7,6,4] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [5,2,8,1,7,6,4,3] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [5,3,1,8,7,6,4,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [5,2,1,8,7,6,4,3] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [5,1,8,7,6,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => 2

[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [3,8,2,1,7,6,5,4] => [[1,2],[3,5],[4,6],[7],[8]] => 3

[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [4,2,8,1,7,6,5,3] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,2,8,1,7,6,5,4] => [[1,3],[2,5],[4,6],[7],[8]] => 3

[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,8,7,1,6,5,4,3] => [[1,2],[3,5],[4],[6],[7],[8]] => 3

[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [4,3,1,8,7,6,5,2] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [3,8,1,7,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [4,2,1,8,7,6,5,3] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [4,1,8,7,6,5,3,2] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => 2

[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,8,1,7,6,5,4,3] => [[1,2],[3,4],[5],[6],[7],[8]] => 3

[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [3,1,8,7,6,5,4,2] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 2

[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [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

[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [8,9,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [7,9,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [6,9,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [5,9,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [4,9,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [3,9,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [2,9,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [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] => [10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1

[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [9,10,8,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [8,10,9,7,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [8,9,6,7,5,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 3

[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [7,10,9,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [6,10,9,8,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [5,10,9,8,7,6,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [4,10,9,8,7,6,5,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [3,10,9,8,7,6,5,4,2,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [2,10,9,8,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,10,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 2

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [8,6,9,7,5,4,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [8,7,6,5,4,3,1,9,2] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 6

[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [11,12,9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 7

[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [10,8,6,4,2,1,9,7,5,3] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [3,2,9,8,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [4,2,9,8,7,6,5,3,1] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [3,9,2,8,7,6,5,4,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 3

[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [3,2,10,9,8,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [8,9,1,7,6,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 3

[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [9,10,1,8,7,6,5,4,3,2] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 3

[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [9,8,7,6,5,4,3,1,2] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [10,9,8,7,6,5,4,3,1,2] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [9,8,7,6,5,4,2,1,3] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [9,8,7,6,5,3,2,1,4] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [9,8,7,6,4,3,2,1,5] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [9,8,7,5,4,3,2,1,6] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [9,8,6,5,4,3,2,1,7] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [9,7,6,5,4,3,2,1,8] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 2

[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [10,9,8,7,6,5,4,2,1,3] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [9,8,7,6,5,2,4,1,3] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 3

[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [10,9,8,7,6,5,3,2,1,4] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [10,9,8,7,6,4,3,2,1,5] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [10,9,8,7,5,4,3,2,1,6] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [10,9,8,6,5,4,3,2,1,7] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [10,9,7,6,5,4,3,2,1,8] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [10,8,7,6,5,4,3,2,1,9] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 2

[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,9,8] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,9,8,7] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 2

[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5]] => 2

[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,9,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8],[9]] => 2

[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,9,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8],[9]] => 2

[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,10,9] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,10,9,8] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 2

[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,10,9,8,7] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 2

[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,10,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 2

[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,10,9,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8],[9],[10]] => 2

[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,10,9,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8],[9],[10]] => 2

[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [3,1,9,8,7,6,5,4,2] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,10,9,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [8,2,9,7,6,5,4,3,1] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [8,6,5,4,3,2,1,9,7] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [4,1,9,8,7,6,5,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [5,1,9,8,7,6,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [6,1,9,8,7,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [7,1,9,8,6,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [8,1,9,7,6,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [3,1,10,9,8,7,6,5,4,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [4,1,10,9,8,7,6,5,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [5,1,10,9,8,7,6,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [6,1,10,9,8,7,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [7,1,10,9,8,6,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [8,1,10,9,7,6,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [9,1,10,8,7,6,5,4,3,2] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [9,7,6,5,4,3,1,8,2] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [8,7,6,5,4,2,1,9,3] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [9,8,7,6,5,4,3,1,10,2] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [8,7,5,4,3,2,1,6,9] => [8,7,5,4,3,2,1,9,6] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 2

[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [9,7,6,5,4,3,2,1,10,8] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 2

[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [7,6,8,9,5,4,3,2,1] => [7,6,9,8,5,4,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => 2

[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]] => [8,7,9,10,6,5,4,3,2,1] => [8,7,10,9,6,5,4,3,2,1] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => 2

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$F_{1} = q$

$F_{2} = q + q^{2}$

$F_{3} = q + 4\ q^{2}$

$F_{4} = q + 11\ q^{2} + 2\ q^{3}$

$F_{5} = q + 26\ q^{2} + 15\ q^{3}$

$F_{6} = q + 57\ q^{2} + 69\ q^{3} + 5\ q^{4}$

$F_{7} = q + 120\ q^{2} + 252\ q^{3} + 56\ q^{4}$

Description

The number of ascents of a standard tableau.
Entry

$i$ of a standard Young tableau is an ascent if

$i+1$ appears to the right or above

$i$ in the tableau (with respect to the English notation for tableaux).

Map

Simion-Schmidt map

Description

The Simion-Schmidt map sends any permutation to a

$123$ -avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between

$132$ -avoiding permutations and

$123$ -avoiding permutations, see [1, Proposition 19].

Map

to 132-avoiding permutation

Description

Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.

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.