Identifier
-
Mp00049:
Ordered trees
—to binary tree: left brother = left child⟶
Binary trees
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
St000157: Standard tableaux ⟶ ℤ
Values
[[]] => [.,.] => [1] => [[1]] => 0
[[],[]] => [[.,.],.] => [1,2] => [[1,2]] => 0
[[[]]] => [.,[.,.]] => [2,1] => [[1],[2]] => 1
[[],[],[]] => [[[.,.],.],.] => [1,2,3] => [[1,2,3]] => 0
[[],[[]]] => [[.,.],[.,.]] => [3,1,2] => [[1,3],[2]] => 1
[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => [[1,3],[2]] => 1
[[[],[]]] => [.,[[.,.],.]] => [2,3,1] => [[1,2],[3]] => 1
[[[[]]]] => [.,[.,[.,.]]] => [3,2,1] => [[1],[2],[3]] => 2
[[],[],[],[]] => [[[[.,.],.],.],.] => [1,2,3,4] => [[1,2,3,4]] => 0
[[],[],[[]]] => [[[.,.],.],[.,.]] => [4,1,2,3] => [[1,3,4],[2]] => 1
[[],[[]],[]] => [[[.,.],[.,.]],.] => [3,1,2,4] => [[1,3,4],[2]] => 1
[[],[[],[]]] => [[.,.],[[.,.],.]] => [3,4,1,2] => [[1,2],[3,4]] => 1
[[],[[[]]]] => [[.,.],[.,[.,.]]] => [4,3,1,2] => [[1,4],[2],[3]] => 2
[[[]],[],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => [[1,3,4],[2]] => 1
[[[]],[[]]] => [[.,[.,.]],[.,.]] => [4,2,1,3] => [[1,4],[2],[3]] => 2
[[[],[]],[]] => [[.,[[.,.],.]],.] => [2,3,1,4] => [[1,2,4],[3]] => 1
[[[[]]],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => [[1,4],[2],[3]] => 2
[[[],[],[]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => [[1,2,3],[4]] => 1
[[[],[[]]]] => [.,[[.,.],[.,.]]] => [4,2,3,1] => [[1,3],[2],[4]] => 2
[[[[]],[]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => [[1,3],[2],[4]] => 2
[[[[],[]]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => [[1,2],[3],[4]] => 2
[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => [[1],[2],[3],[4]] => 3
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [[1,2,3,4,5]] => 0
[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [[1,3,4,5],[2]] => 1
[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [[1,3,4,5],[2]] => 1
[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [[1,2,5],[3,4]] => 1
[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [[1,4,5],[2],[3]] => 2
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [[1,3,4,5],[2]] => 1
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [[1,4,5],[2],[3]] => 2
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [[1,2,5],[3,4]] => 1
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [[1,4,5],[2],[3]] => 2
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [[1,2,3],[4,5]] => 1
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [[1,3],[2,5],[4]] => 2
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [[1,3],[2,5],[4]] => 2
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [[1,2],[3,5],[4]] => 2
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [[1,5],[2],[3],[4]] => 3
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 1
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [[1,4,5],[2],[3]] => 2
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [[1,4,5],[2],[3]] => 2
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [[1,2],[3,5],[4]] => 2
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [[1,5],[2],[3],[4]] => 3
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [[1,2,4,5],[3]] => 1
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => 2
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [[1,3,5],[2],[4]] => 2
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [[1,5],[2],[3],[4]] => 3
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [[1,2,3,5],[4]] => 1
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [[1,3,5],[2],[4]] => 2
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [[1,3,5],[2],[4]] => 2
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [[1,2,5],[3],[4]] => 2
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 3
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 1
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [[1,3,4],[2],[5]] => 2
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [[1,3,4],[2],[5]] => 2
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [[1,2],[3,4],[5]] => 2
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [[1,4],[2],[3],[5]] => 3
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [[1,3,4],[2],[5]] => 2
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [[1,4],[2],[3],[5]] => 3
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [[1,2,4],[3],[5]] => 2
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 3
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 2
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [[1,3],[2],[4],[5]] => 3
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 3
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 3
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 4
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 0
[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [[1,3,4,5,6],[2]] => 1
[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [[1,3,4,5,6],[2]] => 1
[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [[1,2,5,6],[3,4]] => 1
[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [[1,4,5,6],[2],[3]] => 2
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [[1,3,4,5,6],[2]] => 1
[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [[1,4,5,6],[2],[3]] => 2
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [[1,2,5,6],[3,4]] => 1
[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [[1,4,5,6],[2],[3]] => 2
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => 1
[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [[1,3,6],[2,5],[4]] => 2
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [[1,3,6],[2,5],[4]] => 2
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [[1,2,6],[3,5],[4]] => 2
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [[1,5,6],[2],[3],[4]] => 3
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [[1,3,4,5,6],[2]] => 1
[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [[1,4,5,6],[2],[3]] => 2
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [[1,4,5,6],[2],[3]] => 2
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [[1,2,6],[3,5],[4]] => 2
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [[1,5,6],[2],[3],[4]] => 3
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => 1
[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [[1,4,5,6],[2],[3]] => 2
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [[1,3,6],[2,5],[4]] => 2
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [[1,5,6],[2],[3],[4]] => 3
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [[1,2,3,6],[4,5]] => 1
[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [[1,3,6],[2,5],[4]] => 2
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [[1,3,6],[2,5],[4]] => 2
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => 2
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [[1,5,6],[2],[3],[4]] => 3
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [[1,2,3,4],[5,6]] => 1
[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [[1,3,4],[2,6],[5]] => 2
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [[1,3,4],[2,6],[5]] => 2
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => 2
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [[1,4],[2,6],[3],[5]] => 3
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [[1,3,4],[2,6],[5]] => 2
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [[1,4],[2,6],[3],[5]] => 3
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [[1,2,4],[3,6],[5]] => 2
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [[1,4],[2,6],[3],[5]] => 3
>>> Load all 1613 entries. <<<[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [[1,2,3],[4,6],[5]] => 2
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [[1,3],[2,6],[4],[5]] => 3
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [[1,3],[2,6],[4],[5]] => 3
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => 3
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [[1,6],[2],[3],[4],[5]] => 4
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 1
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [[1,4,5,6],[2],[3]] => 2
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [[1,4,5,6],[2],[3]] => 2
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [[1,2,6],[3,5],[4]] => 2
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [[1,5,6],[2],[3],[4]] => 3
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [[1,4,5,6],[2],[3]] => 2
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [[1,5,6],[2],[3],[4]] => 3
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [[1,2,6],[3,5],[4]] => 2
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [[1,5,6],[2],[3],[4]] => 3
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [[1,2,3],[4,6],[5]] => 2
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [[1,3],[2,6],[4],[5]] => 3
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => 3
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [[1,2],[3,6],[4],[5]] => 3
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [[1,6],[2],[3],[4],[5]] => 4
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => 1
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => 2
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [[1,3,5,6],[2],[4]] => 2
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [[1,5,6],[2],[3],[4]] => 3
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [[1,3,5,6],[2],[4]] => 2
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [[1,5,6],[2],[3],[4]] => 3
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [[1,2,6],[3,4],[5]] => 2
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [[1,4,6],[2],[3],[5]] => 3
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [[1,2],[3,6],[4],[5]] => 3
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [[1,6],[2],[3],[4],[5]] => 4
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => 1
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => 2
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => 2
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [[1,2,5,6],[3],[4]] => 2
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => 3
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [[1,3,4,6],[2],[5]] => 2
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [[1,4,6],[2],[3],[5]] => 3
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [[1,4,6],[2],[3],[5]] => 3
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [[1,3,6],[2],[4],[5]] => 3
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [[1,6],[2],[3],[4],[5]] => 4
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => 1
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => 2
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [[1,3,4,6],[2],[5]] => 2
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [[1,2,6],[3,4],[5]] => 2
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [[1,4,6],[2],[3],[5]] => 3
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => 2
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => 3
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [[1,2,4,6],[3],[5]] => 2
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => 3
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => 2
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [[1,3,6],[2],[4],[5]] => 3
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [[1,3,6],[2],[4],[5]] => 3
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [[1,2,6],[3],[4],[5]] => 3
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 4
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 1
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => 2
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [[1,3,4,5],[2],[6]] => 2
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [[1,2,5],[3,4],[6]] => 2
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [[1,4,5],[2],[3],[6]] => 3
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [[1,3,4,5],[2],[6]] => 2
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [[1,4,5],[2],[3],[6]] => 3
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [[1,2,5],[3,4],[6]] => 2
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [[1,4,5],[2],[3],[6]] => 3
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [[1,2,3],[4,5],[6]] => 2
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => 3
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [[1,3],[2,5],[4],[6]] => 3
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [[1,2],[3,5],[4],[6]] => 3
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [[1,5],[2],[3],[4],[6]] => 4
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => 2
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => 3
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [[1,4,5],[2],[3],[6]] => 3
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [[1,2],[3,5],[4],[6]] => 3
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [[1,5],[2],[3],[4],[6]] => 4
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => 2
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => 3
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [[1,3,5],[2],[4],[6]] => 3
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => 4
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => 2
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [[1,3,5],[2],[4],[6]] => 3
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => 3
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => 3
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 4
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 2
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [[1,3,4],[2],[5],[6]] => 3
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [[1,3,4],[2],[5],[6]] => 3
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [[1,2],[3,4],[5],[6]] => 3
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 3
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 3
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 4
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 3
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [[1,3],[2],[4],[5],[6]] => 4
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 4
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 4
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 5
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 0
[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [[1,3,4,5,6,7],[2]] => 1
[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [[1,3,4,5,6,7],[2]] => 1
[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [[1,2,5,6,7],[3,4]] => 1
[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [[1,4,5,6,7],[2],[3]] => 2
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [[1,4,5,6,7],[2],[3]] => 2
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [[1,2,5,6,7],[3,4]] => 1
[[],[],[],[[[]]],[]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [[1,4,5,6,7],[2],[3]] => 2
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [[1,2,3,7],[4,5,6]] => 1
[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => 2
[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => 2
[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [[1,2,6,7],[3,5],[4]] => 2
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [[1,4,5,6,7],[2],[3]] => 2
[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [[1,4,5,6,7],[2],[3]] => 2
[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [[1,2,6,7],[3,5],[4]] => 2
[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[],[],[[[]]],[],[]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [[1,4,5,6,7],[2],[3]] => 2
[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [[1,3,6,7],[2,5],[4]] => 2
[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => 1
[[],[],[[],[[]]],[]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => 2
[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => 2
[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [[1,2,6,7],[3,5],[4]] => 2
[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [[1,2,3,4],[5,6,7]] => 1
[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [[1,3,4],[2,6,7],[5]] => 2
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => 2
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [[1,2,7],[3,4],[5,6]] => 2
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => 2
[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [[1,2,4],[3,6,7],[5]] => 2
[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => 2
[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [[1,2,7],[3,6],[4],[5]] => 3
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [[1,6,7],[2],[3],[4],[5]] => 4
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [[1,4,5,6,7],[2],[3]] => 2
[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [[1,4,5,6,7],[2],[3]] => 2
[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [[1,2,6,7],[3,5],[4]] => 2
[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [[1,4,5,6,7],[2],[3]] => 2
[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [[1,2,6,7],[3,5],[4]] => 2
[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [[1,2,3],[4,6,7],[5]] => 2
[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [[1,2,7],[3,6],[4],[5]] => 3
[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [[1,6,7],[2],[3],[4],[5]] => 4
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[],[[[]]],[],[],[]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [[1,4,5,6,7],[2],[3]] => 2
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [[1,3,6,7],[2,5],[4]] => 2
[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [[1,3,6,7],[2,5],[4]] => 2
[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [[1,2,7],[3,4],[5,6]] => 2
[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [[1,2,7],[3,6],[4],[5]] => 3
[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [[1,6,7],[2],[3],[4],[5]] => 4
[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [[1,2,3,6,7],[4,5]] => 1
[[],[[],[[]]],[],[]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => 2
[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => 2
[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => 2
[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [[1,3,4,7],[2,6],[5]] => 2
[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [[1,6,7],[2],[3],[4],[5]] => 4
[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [[1,2,3,4,7],[5,6]] => 1
[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [[1,3,4,7],[2,6],[5]] => 2
[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [[1,3,4,7],[2,6],[5]] => 2
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => 2
[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [[1,3,4,7],[2,6],[5]] => 2
[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [[1,2,4,7],[3,6],[5]] => 2
[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [[1,4,7],[2,6],[3],[5]] => 3
[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [[1,2,3,7],[4,6],[5]] => 2
[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [[1,3,7],[2,6],[4],[5]] => 3
[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => 3
[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [[1,6,7],[2],[3],[4],[5]] => 4
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [[1,2,3,4,5],[6,7]] => 1
[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [[1,3,4,5],[2,7],[6]] => 2
[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [[1,3,4,5],[2,7],[6]] => 2
[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => 2
[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [[1,4,5],[2,7],[3],[6]] => 3
[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [[1,3,4,5],[2,7],[6]] => 2
[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [[1,4,5],[2,7],[3],[6]] => 3
[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [[1,2,5],[3,4],[6,7]] => 2
[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [[1,4,5],[2,7],[3],[6]] => 3
[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [[1,2,3],[4,5],[6,7]] => 2
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => 3
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => 3
[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [[1,2],[3,5],[4,7],[6]] => 3
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [[1,5],[2,7],[3],[4],[6]] => 4
[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [[1,3,4,5],[2,7],[6]] => 2
[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [[1,4,5],[2,7],[3],[6]] => 3
[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [[1,4,5],[2,7],[3],[6]] => 3
[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => 3
[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [[1,5],[2,7],[3],[4],[6]] => 4
[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [[1,2,4,5],[3,7],[6]] => 2
[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [[1,4,5],[2,7],[3],[6]] => 3
[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [[1,3,5],[2,7],[4],[6]] => 3
[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [[1,5],[2,7],[3],[4],[6]] => 4
[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [[1,2,3,5],[4,7],[6]] => 2
[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [[1,3,5],[2,7],[4],[6]] => 3
[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [[1,3,5],[2,7],[4],[6]] => 3
[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [[1,2,5],[3,7],[4],[6]] => 3
[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [[1,5],[2,7],[3],[4],[6]] => 4
[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [[1,2,3,4],[5,7],[6]] => 2
[[],[[[],[],[[]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [[1,3,4],[2,7],[5],[6]] => 3
[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [[1,3,4],[2,7],[5],[6]] => 3
[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [[1,2],[3,4],[5,7],[6]] => 3
[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 4
[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [[1,3,4],[2,7],[5],[6]] => 3
[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 4
[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [[1,2,4],[3,7],[5],[6]] => 3
[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 4
[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [[1,2,3],[4,7],[5],[6]] => 3
[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 4
[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 4
[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => 4
[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [[1,7],[2],[3],[4],[5],[6]] => 5
[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [[1,4,5,6,7],[2],[3]] => 2
[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [[1,4,5,6,7],[2],[3]] => 2
[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [[1,2,6,7],[3,5],[4]] => 2
[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [[1,5,6,7],[2],[3],[4]] => 3
[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [[1,4,5,6,7],[2],[3]] => 2
[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [[1,5,6,7],[2],[3],[4]] => 3
[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [[1,2,6,7],[3,5],[4]] => 2
[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [[1,2,3],[4,6,7],[5]] => 2
[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [[1,3,7],[2,6],[4],[5]] => 3
[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [[1,3,7],[2,6],[4],[5]] => 3
[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [[1,2,7],[3,6],[4],[5]] => 3
[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [[1,4,5,6,7],[2],[3]] => 2
[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [[1,5,6,7],[2],[3],[4]] => 3
[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [[1,2,7],[3,6],[4],[5]] => 3
[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [[1,2,6,7],[3,5],[4]] => 2
[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [[1,3,7],[2,6],[4],[5]] => 3
[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [[1,2,3,7],[4,6],[5]] => 2
[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => 3
[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => 3
[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [[1,2,7],[3,6],[4],[5]] => 3
[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [[1,2,3,4],[5,7],[6]] => 2
[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [[1,3,4],[2,7],[5],[6]] => 3
[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [[1,3,4],[2,7],[5],[6]] => 3
[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [[1,2],[3,4],[5,7],[6]] => 3
[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 4
[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [[1,3,4],[2,7],[5],[6]] => 3
[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 4
[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [[1,2,4],[3,7],[5],[6]] => 3
[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 4
[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [[1,2,3],[4,7],[5],[6]] => 3
[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 4
[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 4
[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [[1,2],[3,7],[4],[5],[6]] => 4
[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [[1,7],[2],[3],[4],[5],[6]] => 5
[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 1
[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => 2
[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [[1,3,5,6,7],[2],[4]] => 2
[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [[1,5,6,7],[2],[3],[4]] => 3
[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [[1,3,5,6,7],[2],[4]] => 2
[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [[1,2,6,7],[3,4],[5]] => 2
[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [[1,2,7],[3,6],[4],[5]] => 3
[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [[1,3,5,6,7],[2],[4]] => 2
[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [[1,2,6,7],[3,4],[5]] => 2
[[[],[]],[[[]]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[]]],[[],[]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [[1,2,7],[3,6],[4],[5]] => 3
[[[[]]],[[[]]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[],[]],[[],[],[]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [[1,2,3],[4,5,7],[6]] => 2
[[[],[]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [[1,3,7],[2,5],[4],[6]] => 3
[[[],[]],[[[]],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [[1,3,7],[2,5],[4],[6]] => 3
[[[],[]],[[[],[]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [[1,2,7],[3,5],[4],[6]] => 3
[[[],[]],[[[[]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[]]],[[],[],[]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [[1,2,3],[4,7],[5],[6]] => 3
[[[[]]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 4
[[[[]]],[[[]],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 4
[[[[]]],[[[],[]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [[1,2],[3,7],[4],[5],[6]] => 4
[[[[]]],[[[[]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [[1,7],[2],[3],[4],[5],[6]] => 5
[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => 1
[[[],[[]]],[],[],[]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 2
[[[[]],[]],[],[],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 2
[[[[],[]]],[],[],[]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [[1,2,5,6,7],[3],[4]] => 2
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => 3
[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [[1,3,4,6,7],[2],[5]] => 2
[[[],[[]]],[],[[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[],[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [[1,3,6,7],[2],[4],[5]] => 3
[[[[[]]]],[],[[]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[],[],[]],[[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [[1,3,4,6,7],[2],[5]] => 2
[[[],[[]]],[[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[]],[]],[[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[],[]]],[[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [[1,3,6,7],[2],[4],[5]] => 3
[[[[[]]]],[[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[],[],[]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [[1,2,5,7],[3,4],[6]] => 2
[[[],[],[]],[[[]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [[1,4,5,7],[2],[3],[6]] => 3
[[[],[[]]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [[1,2,7],[3,5],[4],[6]] => 3
[[[],[[]]],[[[]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [[1,2,7],[3,5],[4],[6]] => 3
[[[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[],[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [[1,2,7],[3,4],[5],[6]] => 3
[[[[],[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [[1,4,7],[2],[3],[5],[6]] => 4
[[[[[]]]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [[1,2],[3,7],[4],[5],[6]] => 4
[[[[[]]]],[[[]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [[1,7],[2],[3],[4],[5],[6]] => 5
[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => 1
[[[],[],[[]]],[],[]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => 2
[[[],[[]],[]],[],[]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => 2
[[[],[[],[]]],[],[]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [[1,2,6,7],[3,4],[5]] => 2
[[[],[[[]]]],[],[]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[]],[],[]],[],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => 2
[[[[]],[[]]],[],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[],[]],[]],[],[]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [[1,2,4,6,7],[3],[5]] => 2
[[[[[]]],[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 3
[[[[],[],[]]],[],[]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [[1,2,3,6,7],[4],[5]] => 2
[[[[],[[]]]],[],[]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 3
[[[[[]],[]]],[],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 3
[[[[[],[]]]],[],[]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [[1,2,6,7],[3],[4],[5]] => 3
[[[[[[]]]]],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => 4
[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [[1,3,4,5,7],[2],[6]] => 2
[[[],[],[[]]],[[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [[1,4,5,7],[2],[3],[6]] => 3
[[[],[[]],[]],[[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [[1,4,5,7],[2],[3],[6]] => 3
[[[],[[],[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [[1,3,7],[2,5],[4],[6]] => 3
[[[],[[[]]]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[]],[],[]],[[]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [[1,4,5,7],[2],[3],[6]] => 3
[[[[]],[[]]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[],[]],[]],[[]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [[1,3,5,7],[2],[4],[6]] => 3
[[[[[]]],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[],[],[]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [[1,3,4,7],[2],[5],[6]] => 3
[[[[],[[]]]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [[1,4,7],[2],[3],[5],[6]] => 4
[[[[[]],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [[1,4,7],[2],[3],[5],[6]] => 4
[[[[[],[]]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [[1,3,7],[2],[4],[5],[6]] => 4
[[[[[[]]]]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [[1,7],[2],[3],[4],[5],[6]] => 5
[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => 1
[[[],[],[],[[]]],[]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => 2
[[[],[],[[]],[]],[]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [[1,3,4,5,7],[2],[6]] => 2
[[[],[],[[],[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [[1,2,5,7],[3,4],[6]] => 2
[[[],[],[[[]]]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [[1,4,5,7],[2],[3],[6]] => 3
[[[],[[]],[],[]],[]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => 2
[[[],[[]],[[]]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [[1,4,5,7],[2],[3],[6]] => 3
[[[],[[],[]],[]],[]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [[1,2,5,7],[3,4],[6]] => 2
[[[],[[[]]],[]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 3
[[[],[[],[],[]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [[1,2,3,7],[4,5],[6]] => 2
[[[],[[],[[]]]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => 3
[[[],[[[]],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => 3
[[[],[[[],[]]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [[1,2,7],[3,5],[4],[6]] => 3
[[[],[[[[]]]]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[]],[],[],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => 2
[[[[]],[],[[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6]] => 3
[[[[]],[[]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 3
[[[[]],[[],[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [[1,2,7],[3,5],[4],[6]] => 3
[[[[]],[[[]]]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[],[]],[],[]],[]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [[1,2,4,5,7],[3],[6]] => 2
[[[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 3
[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [[1,3,5,7],[2],[4],[6]] => 3
[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[],[],[]],[]],[]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [[1,2,3,5,7],[4],[6]] => 2
[[[[],[[]]],[]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => 3
[[[[[]],[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => 3
[[[[[],[]]],[]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 3
[[[[[[]]]],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [[1,5,7],[2],[3],[4],[6]] => 4
[[[[],[],[],[]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [[1,2,3,4,7],[5],[6]] => 2
[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 3
[[[[],[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 3
[[[[],[[],[]]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [[1,2,7],[3,4],[5],[6]] => 3
[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 4
[[[[[]],[],[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 3
[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 4
[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => 3
[[[[[[]]],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 4
[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [[1,2,3,7],[4],[5],[6]] => 3
[[[[[],[[]]]]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [[1,3,7],[2],[4],[5],[6]] => 4
[[[[[[]],[]]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [[1,3,7],[2],[4],[5],[6]] => 4
[[[[[[],[]]]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 4
[[[[[[[]]]]]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 5
[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 1
[[[],[],[],[],[[]]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => 2
[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [[1,3,4,5,6],[2],[7]] => 2
[[[],[],[],[[],[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [[1,2,5,6],[3,4],[7]] => 2
[[[],[],[],[[[]]]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [[1,3,4,5,6],[2],[7]] => 2
[[[],[],[[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[],[],[[],[]],[]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [[1,2,5,6],[3,4],[7]] => 2
[[[],[],[[[]]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[],[],[[],[],[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [[1,2,3],[4,5,6],[7]] => 2
[[[],[],[[],[[]]]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [[1,3,6],[2,5],[4],[7]] => 3
[[[],[],[[[]],[]]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [[1,3,6],[2,5],[4],[7]] => 3
[[[],[],[[[],[]]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [[1,2,6],[3,5],[4],[7]] => 3
[[[],[],[[[[]]]]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 2
[[[],[[]],[],[[]]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[],[[]],[[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[],[[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [[1,2,6],[3,5],[4],[7]] => 3
[[[],[[]],[[[]]]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [[1,2,5,6],[3,4],[7]] => 2
[[[],[[[]]],[],[]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[],[[],[]],[[]]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [[1,3,6],[2,5],[4],[7]] => 3
[[[],[[[]]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[],[[],[],[]],[]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [[1,2,3,6],[4,5],[7]] => 2
[[[],[[],[[]]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [[1,3,6],[2,5],[4],[7]] => 3
[[[],[[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [[1,3,6],[2,5],[4],[7]] => 3
[[[],[[[],[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [[1,2,6],[3,5],[4],[7]] => 3
[[[],[[[[]]]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[],[[],[],[],[]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [[1,2,3,4],[5,6],[7]] => 2
[[[],[[],[],[[]]]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [[1,3,4],[2,6],[5],[7]] => 3
[[[],[[],[[]],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [[1,3,4],[2,6],[5],[7]] => 3
[[[],[[],[[],[]]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [[1,2],[3,4],[5,6],[7]] => 3
[[[],[[],[[[]]]]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 4
[[[],[[[]],[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [[1,3,4],[2,6],[5],[7]] => 3
[[[],[[[]],[[]]]]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 4
[[[],[[[],[]],[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [[1,2,4],[3,6],[5],[7]] => 3
[[[],[[[[]]],[]]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 4
[[[],[[[],[],[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [[1,2,3],[4,6],[5],[7]] => 3
[[[],[[[],[[]]]]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 4
[[[],[[[[]],[]]]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 4
[[[],[[[[],[]]]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [[1,2],[3,6],[4],[5],[7]] => 4
[[[],[[[[[]]]]]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [[1,6],[2],[3],[4],[5],[7]] => 5
[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 2
[[[[]],[],[],[[]]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[[]],[],[[]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[[]],[],[[],[]]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [[1,2,6],[3,5],[4],[7]] => 3
[[[[]],[],[[[]]]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[[]],[[]],[[]]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[[]],[[],[]],[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [[1,2,6],[3,5],[4],[7]] => 3
[[[[]],[[[]]],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[[]],[[],[],[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [[1,2,3],[4,6],[5],[7]] => 3
[[[[]],[[],[[]]]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 4
[[[[]],[[[]],[]]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 4
[[[[]],[[[],[]]]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [[1,2],[3,6],[4],[5],[7]] => 4
[[[[]],[[[[]]]]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [[1,6],[2],[3],[4],[5],[7]] => 5
[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => 2
[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 3
[[[[],[]],[],[[]]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [[1,3,5,6],[2],[4],[7]] => 3
[[[[[]]],[],[[]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[[],[]],[[]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [[1,3,5,6],[2],[4],[7]] => 3
[[[[[]]],[[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[[],[]],[[],[]]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [[1,2,6],[3,4],[5],[7]] => 3
[[[[],[]],[[[]]]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [[1,4,6],[2],[3],[5],[7]] => 4
[[[[[]]],[[],[]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [[1,2],[3,6],[4],[5],[7]] => 4
[[[[[]]],[[[]]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [[1,6],[2],[3],[4],[5],[7]] => 5
[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [[1,2,3,5,6],[4],[7]] => 2
[[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => 3
[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => 3
[[[[[],[]]],[],[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 3
[[[[[[]]]],[],[]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => 4
[[[[],[],[]],[[]]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [[1,3,4,6],[2],[5],[7]] => 3
[[[[],[[]]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => 4
[[[[[]],[]],[[]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => 4
[[[[[],[]]],[[]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [[1,3,6],[2],[4],[5],[7]] => 4
[[[[[[]]]],[[]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => 5
[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [[1,2,3,4,6],[5],[7]] => 2
[[[[],[],[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 3
[[[[],[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 3
[[[[],[[],[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [[1,2,6],[3,4],[5],[7]] => 3
[[[[],[[[]]]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 4
[[[[[]],[],[]],[]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 3
[[[[[]],[[]]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 4
[[[[[],[]],[]],[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => 3
[[[[[[]]],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 4
[[[[[],[],[]]],[]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [[1,2,3,6],[4],[5],[7]] => 3
[[[[[],[[]]]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [[1,3,6],[2],[4],[5],[7]] => 4
[[[[[[]],[]]],[]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [[1,3,6],[2],[4],[5],[7]] => 4
[[[[[[],[]]]],[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [[1,2,6],[3],[4],[5],[7]] => 4
[[[[[[[]]]]],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [[1,6],[2],[3],[4],[5],[7]] => 5
[[[[],[],[],[],[]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [[1,2,3,4,5],[6],[7]] => 2
[[[[],[],[],[[]]]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [[1,3,4,5],[2],[6],[7]] => 3
[[[[],[],[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 3
[[[[],[],[[],[]]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [[1,2,5],[3,4],[6],[7]] => 3
[[[[],[],[[[]]]]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => 4
[[[[],[[]],[],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 3
[[[[],[[]],[[]]]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [[1,4,5],[2],[3],[6],[7]] => 4
[[[[],[[],[]],[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [[1,2,5],[3,4],[6],[7]] => 3
[[[[],[[[]]],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 4
[[[[],[[],[],[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [[1,2,3],[4,5],[6],[7]] => 3
[[[[],[[],[[]]]]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [[1,3],[2,5],[4],[6],[7]] => 4
[[[[],[[[]],[]]]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [[1,3],[2,5],[4],[6],[7]] => 4
[[[[],[[[],[]]]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [[1,2],[3,5],[4],[6],[7]] => 4
[[[[],[[[[]]]]]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 5
[[[[[]],[],[],[]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 3
[[[[[]],[],[[]]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [[1,4,5],[2],[3],[6],[7]] => 4
[[[[[]],[[]],[]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 4
[[[[[]],[[],[]]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [[1,2],[3,5],[4],[6],[7]] => 4
[[[[[]],[[[]]]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 5
[[[[[],[]],[],[]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [[1,2,4,5],[3],[6],[7]] => 3
[[[[[[]]],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 4
[[[[[],[]],[[]]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [[1,3,5],[2],[4],[6],[7]] => 4
[[[[[[]]],[[]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 5
[[[[[],[],[]],[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [[1,2,3,5],[4],[6],[7]] => 3
[[[[[],[[]]],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [[1,3,5],[2],[4],[6],[7]] => 4
[[[[[[]],[]],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [[1,3,5],[2],[4],[6],[7]] => 4
[[[[[[],[]]],[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => 4
[[[[[[[]]]],[]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 5
[[[[[],[],[],[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [[1,2,3,4],[5],[6],[7]] => 3
[[[[[],[],[[]]]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 4
[[[[[],[[]],[]]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 4
[[[[[],[[],[]]]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [[1,2],[3,4],[5],[6],[7]] => 4
[[[[[],[[[]]]]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 5
[[[[[[]],[],[]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 4
[[[[[[]],[[]]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 5
[[[[[[],[]],[]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [[1,2,4],[3],[5],[6],[7]] => 4
[[[[[[[]]],[]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 5
[[[[[[],[],[]]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 4
[[[[[[],[[]]]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 5
[[[[[[[]],[]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 5
[[[[[[[],[]]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 5
[[[[[[[[]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 6
[[],[],[],[],[],[],[],[]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 0
[[],[],[],[],[],[],[[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [[1,3,4,5,6,7,8],[2]] => 1
[[],[],[],[],[],[[]],[]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[],[],[],[],[],[[],[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [[1,2,5,6,7,8],[3,4]] => 1
[[],[],[],[],[],[[[]]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[],[],[[]],[],[]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[],[],[],[],[[]],[[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[],[],[[],[]],[]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[],[],[],[],[[[]]],[]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[],[],[[],[],[]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [[1,2,3,7,8],[4,5,6]] => 1
[[],[],[],[],[[],[[]]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[],[],[[[]],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[],[],[[[],[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [[1,2,6,7,8],[3,5],[4]] => 2
[[],[],[],[],[[[[]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[],[[]],[],[],[]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[],[],[],[[]],[],[[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[],[[]],[[]],[]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[],[[]],[[],[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [[1,2,6,7,8],[3,5],[4]] => 2
[[],[],[],[[]],[[[]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[],[[],[]],[[]]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[],[[[]]],[[]]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[],[[],[],[]],[]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[],[],[],[[],[[]]],[]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[],[[[]],[]],[]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[],[[[],[]]],[]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [[1,2,6,7,8],[3,5],[4]] => 2
[[],[],[],[[[[]]]],[]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[],[[],[],[],[]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]] => 1
[[],[],[],[[],[],[[]]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => 2
[[],[],[],[[],[[]],[]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => 2
[[],[],[],[[],[[],[]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [[1,2,7,8],[3,4],[5,6]] => 2
[[],[],[],[[],[[[]]]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[],[],[[[]],[],[]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => 2
[[],[],[],[[[]],[[]]]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[],[],[[[],[]],[]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [[1,2,4,8],[3,6,7],[5]] => 2
[[],[],[],[[[[]]],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[],[],[[[],[],[]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [[1,2,3,8],[4,6,7],[5]] => 2
[[],[],[],[[[],[[]]]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[],[],[[[[]],[]]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[],[],[[[[],[]]]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[],[],[],[[[[[]]]]]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[],[[]],[],[],[],[]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[],[],[[]],[],[],[[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[[]],[],[[]],[]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[[]],[],[[],[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [[1,2,6,7,8],[3,5],[4]] => 2
[[],[],[[]],[],[[[]]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[[]],[[]],[],[]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[[]],[[]],[[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[[]],[[],[],[]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [[1,2,3,8],[4,6,7],[5]] => 2
[[],[],[[]],[[[]],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[],[[]],[[[],[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[],[],[[]],[[[[]]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[],[[],[]],[],[],[]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[],[],[[[]]],[],[],[]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[],[[],[]],[],[[]]] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[[[]]],[],[[]]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[[],[]],[[]],[]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[],[[],[]],[[],[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [[1,2,7,8],[3,4],[5,6]] => 2
[[],[],[[],[]],[[[]]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[],[[[]]],[[],[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[],[],[[[]]],[[[]]]] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[],[[],[],[]],[],[]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => 1
[[],[],[[[[]]]],[],[]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[],[[],[],[]],[[]]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [[1,3,4,8],[2,6,7],[5]] => 2
[[],[],[[],[[]]],[[]]] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[],[[[],[]]],[[]]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[],[[[[]]]],[[]]] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[],[[],[],[],[]],[]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [[1,2,3,4,8],[5,6,7]] => 1
[[],[],[[],[],[[]]],[]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [[1,3,4,8],[2,6,7],[5]] => 2
[[],[],[[[]],[],[]],[]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [[1,3,4,8],[2,6,7],[5]] => 2
[[],[],[[[],[],[]]],[]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => 2
[[],[],[[[[[]]]]],[]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[],[[],[],[],[],[]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [[1,2,3,4,5],[6,7,8]] => 1
[[],[],[[],[],[],[[]]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [[1,3,4,5],[2,7,8],[6]] => 2
[[],[],[[],[],[[],[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => 2
[[],[],[[],[],[[[]]]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[],[],[[],[[]],[[]]]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[],[],[[],[[],[]],[]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => 2
[[],[],[[],[[],[],[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => 2
[[],[],[[],[[],[[]]]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [[1,3,8],[2,5],[4,7],[6]] => 3
[[],[],[[],[[[[]]]]]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[],[[[]],[],[],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [[1,3,4,5],[2,7,8],[6]] => 2
[[],[],[[[]],[],[[]]]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[],[],[[[]],[[]],[]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[],[],[[[]],[[],[]]]] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [[1,2,8],[3,5],[4,7],[6]] => 3
[[],[],[[[]],[[[]]]]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[],[[[],[]],[],[]]] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [[1,2,4,5],[3,7,8],[6]] => 2
[[],[],[[[[]]],[],[]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[],[],[[[],[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [[1,3,5],[2,7,8],[4],[6]] => 3
[[],[],[[[[]]],[[]]]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[],[[[],[],[]],[]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [[1,2,3,5],[4,7,8],[6]] => 2
[[],[],[[[[]],[]],[]]] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [[1,3,5],[2,7,8],[4],[6]] => 3
[[],[],[[[[],[]]],[]]] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [[1,2,5],[3,7,8],[4],[6]] => 3
[[],[],[[[[[]]]],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[],[[[],[],[],[]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [[1,2,3,4],[5,7,8],[6]] => 2
[[],[],[[[],[],[[]]]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[],[],[[[],[[]],[]]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[],[],[[[],[[],[]]]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [[1,2,8],[3,4],[5,7],[6]] => 3
[[],[],[[[[]],[],[]]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[],[],[[[[]],[[]]]]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[],[],[[[[],[]],[]]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [[1,2,4],[3,7,8],[5],[6]] => 3
[[],[],[[[[[]]],[]]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[],[],[[[[],[],[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[],[],[[[[[]],[]]]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[],[],[[[[[],[]]]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[],[],[[[[[[]]]]]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[],[[]],[],[],[],[],[]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[],[[]],[],[],[],[[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[[]],[],[],[[]],[]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[[]],[],[],[[],[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [[1,2,6,7,8],[3,5],[4]] => 2
[[],[[]],[],[[]],[],[]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[[]],[],[[],[]],[]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [[1,2,6,7,8],[3,5],[4]] => 2
[[],[[]],[],[[],[],[]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [[1,2,3,8],[4,6,7],[5]] => 2
[[],[[]],[],[[],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[[]],[],[[[]],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[[]],[],[[[],[]]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[],[[]],[],[[[[]]]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[[]],[[]],[],[],[]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[[]],[[]],[],[[]]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[[]],[[]],[[]],[]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[[]],[[]],[[],[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[],[[]],[[]],[[[]]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[[]],[[],[]],[[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[[]],[[],[],[],[]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [[1,2,3,4],[5,7,8],[6]] => 2
[[],[[]],[[],[[]],[]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[],[[]],[[],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [[1,2,8],[3,4],[5,7],[6]] => 3
[[],[[]],[[],[[[]]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[],[[]],[[[]],[],[]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[],[[]],[[[],[]],[]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [[1,2,4],[3,7,8],[5],[6]] => 3
[[],[[]],[[[[]]],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[],[[]],[[[],[[]]]]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[],[[]],[[[[]],[]]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[],[[]],[[[[],[]]]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[],[[]],[[[[[]]]]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[],[[],[]],[],[],[],[]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[],[[[]]],[],[],[],[]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[],[[],[]],[],[],[[]]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[[],[]],[],[[]],[]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[[[]]],[],[[]],[]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[[],[]],[],[[],[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [[1,2,7,8],[3,4],[5,6]] => 2
[[],[[],[]],[],[[[]]]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[[[]]],[],[[],[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[],[[[]]],[[]],[],[]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[[],[]],[[]],[[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[[[]]],[[]],[[]]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[[],[]],[[],[]],[]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [[1,2,7,8],[3,4],[5,6]] => 2
[[],[[[]]],[[[]]],[]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[[],[]],[[],[],[]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [[1,2,3],[4,5,8],[6,7]] => 2
[[],[[],[]],[[],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [[1,3,8],[2,5],[4,7],[6]] => 3
[[],[[],[]],[[[],[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [[1,2,8],[3,5],[4,7],[6]] => 3
[[],[[],[]],[[[[]]]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[[[]]],[[],[],[]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[],[[[]]],[[[[]]]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[],[[],[],[]],[],[],[]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[],[[],[[]]],[],[],[]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[[[]],[]],[],[],[]] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => 2
[[],[[[[]]]],[],[],[]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[],[[],[],[]],[],[[]]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [[1,3,4,7,8],[2,6],[5]] => 2
[[],[[],[[]]],[],[[]]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[[[[]]]],[[]],[]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[[],[],[]],[[],[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [[1,2,5,8],[3,4],[6,7]] => 2
[[],[[],[],[]],[[[]]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [[1,4,5,8],[2,7],[3],[6]] => 3
[[],[[],[[]]],[[[]]]] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[[[[]]]],[[],[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[],[[[[]]]],[[[]]]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[],[[],[],[],[]],[],[]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[],[[],[[],[]]],[],[]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => 2
[[],[[[]],[],[]],[],[]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [[1,3,4,7,8],[2,6],[5]] => 2
[[],[[[[]]],[]],[],[]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [[1,4,7,8],[2,6],[3],[5]] => 3
[[],[[[],[[]]]],[],[]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[[[[]],[]]],[],[]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[],[[[[[]]]]],[],[]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[],[[],[],[],[]],[[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [[1,3,4,5,8],[2,7],[6]] => 2
[[],[[],[],[[]]],[[]]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [[1,4,5,8],[2,7],[3],[6]] => 3
[[],[[],[[]],[]],[[]]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [[1,4,5,8],[2,7],[3],[6]] => 3
[[],[[],[[],[]]],[[]]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [[1,3,8],[2,5],[4,7],[6]] => 3
[[],[[],[[[]]]],[[]]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[[[]],[],[]],[[]]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [[1,4,5,8],[2,7],[3],[6]] => 3
[[],[[[],[]],[]],[[]]] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [[1,3,5,8],[2,7],[4],[6]] => 3
[[],[[[[]]],[]],[[]]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[[[],[[]]]],[[]]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[],[[[[[]]]]],[[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[],[[],[],[],[],[]],[]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[],[[],[],[[]],[]],[]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [[1,3,4,5,8],[2,7],[6]] => 2
[[],[[],[],[[],[]]],[]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [[1,2,5,8],[3,4],[6,7]] => 2
[[],[[],[[],[]],[]],[]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [[1,2,5,8],[3,4],[6,7]] => 2
[[],[[],[[[[]]]]],[]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[[[]],[],[],[]],[]] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [[1,3,4,5,8],[2,7],[6]] => 2
[[],[[[],[[]]],[]],[]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [[1,3,5,8],[2,7],[4],[6]] => 3
[[],[[[[[]]]],[]],[]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [[1,5,8],[2,7],[3],[4],[6]] => 4
[[],[[[],[],[],[]]],[]] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [[1,2,3,4,8],[5,7],[6]] => 2
[[],[[[],[[[]]]]],[]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[],[[[[]],[],[]]],[]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [[1,3,4,8],[2,7],[5],[6]] => 3
[[],[[[[],[[]]]]],[]] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[],[[[[[],[]]]]],[]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[],[[[[[[]]]]]],[]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [[1,2,3,4,5,6],[7,8]] => 1
[[],[[],[],[],[],[[]]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [[1,3,4,5,6],[2,8],[7]] => 2
[[],[[],[],[],[[]],[]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 2
[[],[[],[],[],[[],[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => 2
[[],[[],[],[],[[[]]]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[],[],[[]],[],[]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 2
[[],[[],[],[[[]]],[]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[],[],[[],[[]]]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [[1,3,6],[2,5],[4,8],[7]] => 3
[[],[[],[],[[[[]]]]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[],[[]],[],[],[]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 2
[[],[[],[[]],[],[[]]]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[],[[]],[[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[],[[]],[[],[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => 3
[[],[[],[[],[]],[],[]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [[1,2,5,6],[3,4],[7,8]] => 2
[[],[[],[[[[]]]],[]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[],[[],[],[],[]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [[1,2,3,4],[5,6],[7,8]] => 2
[[],[[],[[],[],[[]]]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [[1,3,4],[2,6],[5,8],[7]] => 3
[[],[[],[[],[[]],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [[1,3,4],[2,6],[5,8],[7]] => 3
[[],[[],[[],[[],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 3
[[],[[],[[],[[[]]]]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4
[[],[[],[[[]],[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [[1,3,4],[2,6],[5,8],[7]] => 3
[[],[[],[[[]],[[]]]]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4
[[],[[],[[[],[]],[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [[1,2,4],[3,6],[5,8],[7]] => 3
[[],[[],[[[[]]],[]]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 4
[[],[[],[[[],[],[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [[1,2,3],[4,6],[5,8],[7]] => 3
[[],[[],[[[[]],[]]]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [[1,3],[2,6],[4,8],[5],[7]] => 4
[[],[[],[[[[],[]]]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4
[[],[[],[[[[[]]]]]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 5
[[],[[[]],[],[],[],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 2
[[],[[[]],[],[],[[]]]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[[]],[],[[],[]]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => 3
[[],[[[]],[],[[[]]]]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[[]],[[]],[],[]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[[]],[[[]]],[]]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[[]],[[],[],[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [[1,2,3],[4,6],[5,8],[7]] => 3
[[],[[[],[]],[],[],[]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [[1,2,4,5,6],[3,8],[7]] => 2
[[],[[[[]]],[],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 3
[[],[[[[]]],[],[[]]]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[[],[]],[[]],[]]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [[1,3,5,6],[2,8],[4],[7]] => 3
[[],[[[[]]],[[]],[]]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[[],[]],[[],[]]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => 3
[[],[[[],[]],[[[]]]]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 4
[[],[[[[]]],[[],[]]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 4
[[],[[[],[],[]],[],[]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [[1,2,3,5,6],[4,8],[7]] => 2
[[],[[[[]],[]],[],[]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [[1,3,5,6],[2,8],[4],[7]] => 3
[[],[[[[],[]]],[],[]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [[1,2,5,6],[3,8],[4],[7]] => 3
[[],[[[[[]]]],[],[]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 4
[[],[[[[]],[]],[[]]]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 4
[[],[[[[[]]]],[[]]]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 5
[[],[[[],[],[],[]],[]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [[1,2,3,4,6],[5,8],[7]] => 2
[[],[[[],[[],[]]],[]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [[1,2,6],[3,4],[5,8],[7]] => 3
[[],[[[[]],[[]]],[]]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 4
[[],[[[[],[]],[]],[]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [[1,2,4,6],[3,8],[5],[7]] => 3
[[],[[[[[]]],[]],[]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 4
[[],[[[[],[],[]]],[]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [[1,2,3,6],[4,8],[5],[7]] => 3
[[],[[[[],[[]]]],[]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [[1,3,6],[2,8],[4],[5],[7]] => 4
[[],[[[[[[]]]]],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 5
[[],[[[],[],[],[],[]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [[1,2,3,4,5],[6,8],[7]] => 2
[[],[[[],[[]],[[]]]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 4
[[],[[[],[[],[]],[]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [[1,2,5],[3,4],[6,8],[7]] => 3
[[],[[[],[[[]]],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 4
[[],[[[],[[],[],[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [[1,2,3],[4,5],[6,8],[7]] => 3
[[],[[[],[[],[[]]]]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [[1,3],[2,5],[4,8],[6],[7]] => 4
[[],[[[],[[[],[]]]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [[1,2],[3,5],[4,8],[6],[7]] => 4
[[],[[[],[[[[]]]]]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 5
[[],[[[[]],[],[],[]]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [[1,3,4,5],[2,8],[6],[7]] => 3
[[],[[[[]],[],[[]]]]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 4
[[],[[[[]],[[[]]]]]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 5
[[],[[[[],[]],[],[]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [[1,2,4,5],[3,8],[6],[7]] => 3
[[],[[[[[]]],[],[]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 4
[[],[[[[],[]],[[]]]]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [[1,3,5],[2,8],[4],[6],[7]] => 4
[[],[[[[],[[]]],[]]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [[1,3,5],[2,8],[4],[6],[7]] => 4
[[],[[[[[]],[]],[]]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [[1,3,5],[2,8],[4],[6],[7]] => 4
[[],[[[[[[]]]],[]]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 5
[[],[[[[],[],[],[]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [[1,2,3,4],[5,8],[6],[7]] => 3
[[],[[[[],[[]],[]]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[],[[[[],[[],[]]]]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 4
[[],[[[[],[[[]]]]]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[],[[[[[]],[],[]]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[],[[[[[]],[[]]]]]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[],[[[[[],[]],[]]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [[1,2,4],[3,8],[5],[6],[7]] => 4
[[],[[[[[[]]],[]]]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[],[[[[[],[],[]]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [[1,2,3],[4,8],[5],[6],[7]] => 4
[[],[[[[[],[[]]]]]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[],[[[[[[]],[]]]]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[],[[[[[[],[]]]]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 5
[[],[[[[[[[]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => 2
[[[]],[],[],[],[[]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[[]],[],[],[],[[],[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [[1,2,6,7,8],[3,5],[4]] => 2
[[[]],[],[],[],[[[]]]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[]],[],[],[[],[],[]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [[1,2,3,8],[4,6,7],[5]] => 2
[[[]],[],[],[[],[[]]]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[[]],[],[],[[[],[]]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[]],[],[],[[[[]]]]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[],[[]],[],[],[]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[[]],[],[[]],[],[[]]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[]],[],[[]],[[],[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[]],[],[[]],[[[]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[],[[],[]],[],[]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [[1,2,6,7,8],[3,5],[4]] => 2
[[[]],[],[[],[]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[[]],[],[[[]]],[[]]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[],[[],[],[]],[]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [[1,2,3,8],[4,6,7],[5]] => 2
[[[]],[],[[],[[]]],[]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[[]],[],[[[],[]]],[]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[]],[],[[[[]]]],[]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[],[[],[],[],[]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [[1,2,3,4],[5,7,8],[6]] => 2
[[[]],[],[[],[],[[]]]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[]],[],[[],[[]],[]]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[]],[],[[],[[],[]]]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [[1,2,8],[3,4],[5,7],[6]] => 3
[[[]],[],[[],[[[]]]]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[[]],[],[[[]],[],[]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[]],[],[[[]],[[]]]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[[]],[],[[[],[]],[]]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [[1,2,4],[3,7,8],[5],[6]] => 3
[[[]],[],[[[[]]],[]]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[[]],[],[[[],[],[]]]] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[]],[],[[[[]],[]]]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[]],[],[[[[],[]]]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[]],[],[[[[[]]]]]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[]],[[]],[],[],[],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[[]],[[]],[],[],[[]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[[]],[[]],[],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[[]],[[[]]],[]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[[]],[[],[],[]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[]],[[],[]],[],[],[]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [[1,2,6,7,8],[3,5],[4]] => 2
[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[]],[[[]]],[],[[]]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[[],[]],[[]],[]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[[]],[[[]]],[[],[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[]],[[],[],[]],[],[]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [[1,2,3,7,8],[4,6],[5]] => 2
[[[]],[[],[[]]],[],[]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [[1,3,7,8],[2,6],[4],[5]] => 3
[[[]],[[[],[]]],[],[]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[]],[[[[]]]],[],[]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[]],[[],[],[]],[[]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [[1,3,4,8],[2,7],[5],[6]] => 3
[[[]],[[[],[]]],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[]],[[],[],[],[]],[]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [[1,2,3,4,8],[5,7],[6]] => 2
[[[]],[[],[[[]]]],[]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[[]],[[[]],[],[]],[]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [[1,3,4,8],[2,7],[5],[6]] => 3
[[[]],[[[]],[[]]],[]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [[1,4,8],[2,7],[3],[5],[6]] => 4
[[[]],[[[[]],[]]],[]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [[1,2,3,4,5],[6,8],[7]] => 2
[[[]],[[],[],[],[[]]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [[1,3,4,5],[2,8],[6],[7]] => 3
[[[]],[[],[],[[]],[]]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [[1,3,4,5],[2,8],[6],[7]] => 3
[[[]],[[],[[[]]],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [[1,4,5],[2,8],[3],[6],[7]] => 4
[[[]],[[],[[[[]]]]]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 5
[[[]],[[[]],[],[],[]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [[1,3,4,5],[2,8],[6],[7]] => 3
[[[]],[[[],[],[]],[]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [[1,2,3,5],[4,8],[6],[7]] => 3
[[[]],[[[[]],[]],[]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [[1,3,5],[2,8],[4],[6],[7]] => 4
[[[]],[[[[],[]]],[]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [[1,2,5],[3,8],[4],[6],[7]] => 4
[[[]],[[[[[]]]],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 5
[[[]],[[[],[],[],[]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [[1,2,3,4],[5,8],[6],[7]] => 3
[[[]],[[[],[[]],[]]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[[]],[[[],[[],[]]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 4
[[[]],[[[],[[[]]]]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[[]],[[[[]],[],[]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[[]],[[[[],[]],[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [[1,2,4],[3,8],[5],[6],[7]] => 4
[[[]],[[[[[]]],[]]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[[]],[[[[],[],[]]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [[1,2,3],[4,8],[5],[6],[7]] => 4
[[[]],[[[[],[[]]]]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[[]],[[[[[]],[]]]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[[]],[[[[[],[]]]]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 5
[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[],[]],[],[],[],[],[]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 1
[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 2
[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[],[]],[],[],[[]],[]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[]]],[],[],[[]],[]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[],[]],[],[],[[],[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [[1,2,6,7,8],[3,4],[5]] => 2
[[[],[]],[],[],[[[]]]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[]]],[],[],[[],[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[[]]],[],[],[[[]]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[]],[],[[]],[],[]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[]]],[],[[]],[[]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[]],[],[[],[]],[]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [[1,2,6,7,8],[3,4],[5]] => 2
[[[],[]],[],[[[]]],[]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[]]],[],[[],[]],[]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[[]]],[],[[[]]],[]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[]],[],[[],[],[]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [[1,2,3,8],[4,5,7],[6]] => 2
[[[],[]],[],[[],[[]]]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[],[]],[],[[[]],[]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[],[]],[],[[[],[]]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [[1,2,7,8],[3,5],[4],[6]] => 3
[[[],[]],[],[[[[]]]]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[]]],[],[[],[],[]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[[]]],[],[[],[[]]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[[]]],[],[[[]],[]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[[]]],[],[[[],[]]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[[]]],[],[[[[]]]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[]],[[]],[],[],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[]]],[[]],[],[],[]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[[]]],[[]],[],[[]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[]],[[]],[[]],[]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[]]],[[]],[[]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[[]]],[[]],[[],[]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[[]]],[[]],[[[]]]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[[]]],[[],[]],[],[]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [[1,2,7,8],[3,6],[4],[5]] => 3
[[[[]]],[[[]]],[],[]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[]],[[],[]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[],[]],[[[]]],[[]]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[]]],[[],[]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [[1,3,8],[2,7],[4],[5],[6]] => 4
[[[[]]],[[[]]],[[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[]],[[],[],[]],[]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [[1,2,3,8],[4,5,7],[6]] => 2
[[[],[]],[[],[[]]],[]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[],[]],[[[]],[]],[]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[],[]],[[[],[]]],[]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [[1,2,7,8],[3,5],[4],[6]] => 3
[[[],[]],[[[[]]]],[]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[]]],[[[[]]]],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[]],[[],[],[],[]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [[1,2,3,4],[5,6,8],[7]] => 2
[[[],[]],[[],[],[[]]]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => 3
[[[],[]],[[],[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => 3
[[[],[]],[[],[[],[]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [[1,2,8],[3,4],[5,6],[7]] => 3
[[[],[]],[[],[[[]]]]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[],[]],[[[]],[],[]]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => 3
[[[],[]],[[[]],[[]]]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[],[]],[[[],[]],[]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [[1,2,4],[3,6,8],[5],[7]] => 3
[[[],[]],[[[[]]],[]]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[],[]],[[[],[],[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [[1,2,3],[4,6,8],[5],[7]] => 3
[[[],[]],[[[],[[]]]]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[],[]],[[[[]],[]]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[],[]],[[[[],[]]]]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [[1,2,8],[3,6],[4],[5],[7]] => 4
[[[],[]],[[[[[]]]]]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[]]],[[],[],[],[]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [[1,2,3,4],[5,8],[6],[7]] => 3
[[[[]]],[[],[],[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[[[]]],[[],[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[[[]]],[[],[[],[]]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [[1,2],[3,4],[5,8],[6],[7]] => 4
[[[[]]],[[],[[[]]]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[[[]]],[[[]],[],[]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => 4
[[[[]]],[[[]],[[]]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[[[]]],[[[],[]],[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [[1,2,4],[3,8],[5],[6],[7]] => 4
[[[[]]],[[[[]]],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 5
[[[[]]],[[[],[],[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [[1,2,3],[4,8],[5],[6],[7]] => 4
[[[[]]],[[[],[[]]]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[[[]]],[[[[]],[]]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[[[]]],[[[[],[]]]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [[1,2],[3,8],[4],[5],[6],[7]] => 5
[[[[]]],[[[[[]]]]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[],[],[]],[],[],[],[]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 1
[[[],[[]]],[],[],[],[]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[]],[]],[],[],[],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 2
[[[[],[]]],[],[],[],[]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => 2
[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 3
[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [[1,3,4,6,7,8],[2],[5]] => 2
[[[],[[]]],[],[],[[]]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[],[]]],[],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [[1,3,6,7,8],[2],[4],[5]] => 3
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[],[]],[],[[]],[]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [[1,3,4,6,7,8],[2],[5]] => 2
[[[[[]]]],[],[[]],[]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[],[]],[],[[],[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [[1,2,5,7,8],[3,4],[6]] => 2
[[[],[],[]],[],[[[]]]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[]]],[],[[],[]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [[1,2,7,8],[3,5],[4],[6]] => 3
[[[[]],[]],[],[[],[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [[1,2,7,8],[3,5],[4],[6]] => 3
[[[[]],[]],[],[[[]]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[],[]]],[],[[],[]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [[1,2,7,8],[3,4],[5],[6]] => 3
[[[[],[]]],[],[[[]]]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[[[]]]],[],[[[]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[[],[]]],[[]],[],[]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 3
[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[]]],[[]],[[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[]],[]],[[]],[[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[],[]],[[],[]],[]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [[1,2,5,7,8],[3,4],[6]] => 2
[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[]]],[[[]]],[]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[]],[]],[[],[]],[]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [[1,2,7,8],[3,5],[4],[6]] => 3
[[[[]],[]],[[[]]],[]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[],[]]],[[],[]],[]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [[1,2,7,8],[3,4],[5],[6]] => 3
[[[[],[]]],[[[]]],[]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[]]]],[[],[]],[]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [[1,2,8],[3,7],[4],[5],[6]] => 4
[[[[[]]]],[[[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [[1,2,3,8],[4,5,6],[7]] => 2
[[[],[],[]],[[],[[]]]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[],[]],[[[]],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[],[]],[[[[]]]]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[],[[]]],[[],[],[]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [[1,2,3],[4,6,8],[5],[7]] => 3
[[[],[[]]],[[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[]],[]],[[],[],[]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [[1,2,3],[4,6,8],[5],[7]] => 3
[[[[]],[]],[[],[[]]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[[]],[]],[[[[]]]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[]]],[[],[],[]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [[1,2,3],[4,5,8],[6],[7]] => 3
[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [[1,2,8],[3,5],[4],[6],[7]] => 4
[[[[],[]]],[[[[]]]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[]]]],[[],[],[]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [[1,2,3],[4,8],[5],[6],[7]] => 4
[[[[[]]]],[[],[[]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[[[[]]]],[[[]],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 5
[[[[[]]]],[[[],[]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [[1,2],[3,8],[4],[5],[6],[7]] => 5
[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 1
[[[],[],[[]]],[],[],[]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 2
[[[],[[]],[]],[],[],[]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 2
[[[],[[],[]]],[],[],[]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [[1,2,6,7,8],[3,4],[5]] => 2
[[[],[[[]]]],[],[],[]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[]],[],[]],[],[],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 2
[[[[]],[[]]],[],[],[]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[],[]],[]],[],[],[]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => 2
[[[[[]]],[]],[],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 3
[[[[],[],[]]],[],[],[]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 2
[[[[],[[]]]],[],[],[]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 3
[[[[[]],[]]],[],[],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 3
[[[[[],[]]]],[],[],[]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => 3
[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 4
[[[],[],[],[]],[],[[]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[],[],[[]]],[],[[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[]],[]],[],[[]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[],[]]],[],[[]]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[[],[],[]]],[],[[]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [[1,3,4,7,8],[2],[5],[6]] => 3
[[[[[]],[]]],[],[[]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[],[]]]],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [[1,3,7,8],[2],[4],[5],[6]] => 4
[[[[[[]]]]],[],[[]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[],[],[]],[[]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[],[],[[]]],[[]],[]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[]],[]],[[]],[]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[[]]]],[[]],[]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[]],[[]]],[[]],[]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[],[],[]]],[[]],[]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [[1,3,4,7,8],[2],[5],[6]] => 3
[[[[[]],[]]],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[],[]]]],[[]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [[1,3,7,8],[2],[4],[5],[6]] => 4
[[[[[[]]]]],[[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[],[],[]],[[],[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [[1,2,5,6,8],[3,4],[7]] => 2
[[[],[],[],[]],[[[]]]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[],[],[[]]],[[],[]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [[1,2,6,8],[3,5],[4],[7]] => 3
[[[],[[],[]]],[[],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [[1,2,8],[3,4],[5,6],[7]] => 3
[[[],[[],[]]],[[[]]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[[]],[[]]],[[[]]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[]],[]],[[],[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [[1,2,6,8],[3,4],[5],[7]] => 3
[[[[],[]],[]],[[[]]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [[1,4,6,8],[2],[3],[5],[7]] => 4
[[[[[]]],[]],[[],[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [[1,2,8],[3,6],[4],[5],[7]] => 4
[[[[[]]],[]],[[[]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[],[]]],[[],[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [[1,2,5,8],[3,4],[6],[7]] => 3
[[[[],[],[]]],[[[]]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [[1,4,5,8],[2],[3],[6],[7]] => 4
[[[[],[[]]]],[[[]]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[],[]]]],[[],[]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [[1,2,8],[3,4],[5],[6],[7]] => 4
[[[[[],[]]]],[[[]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [[1,4,8],[2],[3],[5],[6],[7]] => 5
[[[[[[]]]]],[[],[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [[1,2],[3,8],[4],[5],[6],[7]] => 5
[[[[[[]]]]],[[[]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[],[],[],[],[]],[],[]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [[1,2,3,4,5,7,8],[6]] => 1
[[[],[],[],[[]]],[],[]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[],[],[[]],[]],[],[]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[],[],[[],[]]],[],[]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [[1,2,5,7,8],[3,4],[6]] => 2
[[[],[],[[[]]]],[],[]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[],[[]],[],[]],[],[]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[],[[[]],[]]],[],[]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [[1,3,7,8],[2,5],[4],[6]] => 3
[[[[]],[],[],[]],[],[]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 2
[[[[]],[[]],[]],[],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[[]],[[],[]]],[],[]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [[1,2,7,8],[3,5],[4],[6]] => 3
[[[[],[]],[],[]],[],[]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [[1,2,4,5,7,8],[3],[6]] => 2
[[[[[]]],[],[]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 3
[[[[[]]],[[]]],[],[]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[],[],[]],[]],[],[]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [[1,2,3,5,7,8],[4],[6]] => 2
[[[[[]],[]],[]],[],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => 3
[[[[[],[]]],[]],[],[]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [[1,2,5,7,8],[3],[4],[6]] => 3
[[[[[[]]]],[]],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => 4
[[[[],[],[],[]]],[],[]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [[1,2,3,4,7,8],[5],[6]] => 2
[[[[],[[],[]]]],[],[]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [[1,2,7,8],[3,4],[5],[6]] => 3
[[[[],[[[]]]]],[],[]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[[]]],[]]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => 4
[[[[[],[],[]]]],[],[]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 3
[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [[1,3,7,8],[2],[4],[5],[6]] => 4
[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => 4
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 5
[[[],[],[],[],[]],[[]]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [[1,3,4,5,6,8],[2],[7]] => 2
[[[],[],[[]],[]],[[]]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[],[],[[],[]]],[[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[],[[[]]]],[[]]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[],[[]],[[]]],[[]]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[],[[],[]],[]],[[]]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[[[]]],[]],[[]]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[],[[],[],[]]],[[]]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [[1,3,4,8],[2,6],[5],[7]] => 3
[[[],[[[],[]]]],[[]]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[],[[[[]]]]],[[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[]],[],[],[]],[[]]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[[]],[],[[]]],[[]]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[[]],[[]],[]],[[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[[]],[[[]]]],[[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[]],[],[]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [[1,3,5,6,8],[2],[4],[7]] => 3
[[[[[]],[]],[]],[[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [[1,4,6,8],[2],[3],[5],[7]] => 4
[[[[[[]]]],[]],[[]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[],[],[]]],[[]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [[1,3,4,5,8],[2],[6],[7]] => 3
[[[[],[[],[]]]],[[]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [[1,3,8],[2,5],[4],[6],[7]] => 4
[[[[],[[[]]]]],[[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[]],[],[]]],[[]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [[1,4,5,8],[2],[3],[6],[7]] => 4
[[[[[],[]],[]]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [[1,3,5,8],[2],[4],[6],[7]] => 4
[[[[[],[],[]]]],[[]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [[1,3,4,8],[2],[5],[6],[7]] => 4
[[[[[],[[]]]]],[[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [[1,4,8],[2],[3],[5],[6],[7]] => 5
[[[[[[],[]]]]],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [[1,3,8],[2],[4],[5],[6],[7]] => 5
[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => 1
[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => 2
[[[],[],[],[[]],[]],[]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 2
[[[],[],[],[[],[]]],[]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [[1,2,5,6,8],[3,4],[7]] => 2
[[[],[],[],[[[]]]],[]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[],[],[[]],[],[]],[]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 2
[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [[1,2,3,8],[4,5,6],[7]] => 2
[[[],[],[[],[[]]]],[]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [[1,2,6,8],[3,5],[4],[7]] => 3
[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[],[[]],[],[],[]],[]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 2
[[[],[[]],[],[[]]],[]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[],[[]],[[]],[]],[]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[],[[]],[[],[]]],[]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [[1,2,6,8],[3,5],[4],[7]] => 3
[[[],[[]],[[[]]]],[]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[],[[],[]],[],[]],[]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [[1,2,5,6,8],[3,4],[7]] => 2
[[[],[[[]]],[],[]],[]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[],[[],[]],[[]]],[]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 3
[[[],[[],[],[],[]]],[]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [[1,2,3,4,8],[5,6],[7]] => 2
[[[],[[],[[],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [[1,2,8],[3,4],[5,6],[7]] => 3
[[[],[[],[[[]]]]],[]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[],[[[]],[],[]]],[]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [[1,3,4,8],[2,6],[5],[7]] => 3
[[[],[[[]],[[]]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[],[[[],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [[1,2,4,8],[3,6],[5],[7]] => 3
[[[],[[[[]]],[]]],[]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 4
[[[],[[[],[],[]]]],[]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [[1,2,3,8],[4,6],[5],[7]] => 3
[[[],[[[],[[]]]]],[]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [[1,2,8],[3,6],[4],[5],[7]] => 4
[[[],[[[[[]]]]]],[]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[]],[],[],[],[]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 2
[[[[]],[],[[]],[]],[]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[[]],[],[[],[]]],[]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [[1,2,6,8],[3,5],[4],[7]] => 3
[[[[]],[],[[[]]]],[]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[[]],[[]],[[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[[]],[[[]]],[]],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[[]],[[],[],[]]],[]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [[1,2,3,8],[4,6],[5],[7]] => 3
[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => 4
[[[[]],[[[[]]]]],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [[1,2,4,5,6,8],[3],[7]] => 2
[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 3
[[[[],[]],[[],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [[1,2,6,8],[3,4],[5],[7]] => 3
[[[[[]]],[[],[]]],[]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [[1,2,8],[3,6],[4],[5],[7]] => 4
[[[[[]]],[[[]]]],[]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[],[]],[],[]],[]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [[1,2,3,5,6,8],[4],[7]] => 2
[[[[[[]]]],[],[]],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 4
[[[[],[[]]],[[]]],[]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 4
[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 4
[[[[[],[]]],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [[1,3,6,8],[2],[4],[5],[7]] => 4
[[[[[[]]]],[[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[],[],[]],[]],[]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [[1,2,3,4,6,8],[5],[7]] => 2
[[[[],[],[[]]],[]],[]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 3
[[[[],[[]],[]],[]],[]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 3
[[[[],[[],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [[1,2,6,8],[3,4],[5],[7]] => 3
[[[[[]],[],[]],[]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 3
[[[[[],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [[1,2,4,6,8],[3],[5],[7]] => 3
[[[[[[]]],[]],[]],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 4
[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [[1,3,6,8],[2],[4],[5],[7]] => 4
[[[[[[],[]]]],[]],[]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [[1,2,6,8],[3],[4],[5],[7]] => 4
[[[[[[[]]]]],[]],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 5
[[[[],[],[],[],[]]],[]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [[1,2,3,4,5,8],[6],[7]] => 2
[[[[],[],[],[[]]]],[]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [[1,3,4,5,8],[2],[6],[7]] => 3
[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => 4
[[[[],[[],[],[]]]],[]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [[1,2,3,8],[4,5],[6],[7]] => 3
[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [[1,3,8],[2,5],[4],[6],[7]] => 4
[[[[],[[[]],[]]]],[]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [[1,3,8],[2,5],[4],[6],[7]] => 4
[[[[],[[[],[]]]]],[]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [[1,2,8],[3,5],[4],[6],[7]] => 4
[[[[],[[[[]]]]]],[]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[]],[[],[]]]],[]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [[1,2,8],[3,5],[4],[6],[7]] => 4
[[[[[]],[[[]]]]],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[[]]],[],[]]],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => 4
[[[[[[]]],[[]]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[[]],[]],[]]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => 4
[[[[[[],[]]],[]]],[]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [[1,2,5,8],[3],[4],[6],[7]] => 4
[[[[[[[]]]],[]]],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 5
[[[[[],[],[],[]]]],[]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 3
[[[[[],[],[[]]]]],[]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => 4
[[[[[],[[],[]]]]],[]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [[1,2,8],[3,4],[5],[6],[7]] => 4
[[[[[],[[[]]]]]],[]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 5
[[[[[[]],[],[]]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => 4
[[[[[[]],[[]]]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 5
[[[[[[],[]],[]]]],[]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [[1,2,4,8],[3],[5],[6],[7]] => 4
[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 5
[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 4
[[[[[[],[[]]]]]],[]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 5
[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 5
[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 5
[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => 6
[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => 1
[[[],[],[],[],[],[[]]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => 2
[[[],[],[],[],[[]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [[1,3,4,5,6,7],[2],[8]] => 2
[[[],[],[],[],[[],[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [[1,2,5,6,7],[3,4],[8]] => 2
[[[],[],[],[],[[[]]]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[],[],[[]],[],[]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 2
[[[],[],[],[[]],[[]]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[],[],[[],[]],[]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [[1,2,5,6,7],[3,4],[8]] => 2
[[[],[],[],[[[]]],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[],[],[[],[],[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [[1,2,3,7],[4,5,6],[8]] => 2
[[[],[],[],[[],[[]]]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[],[],[[[]],[]]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[],[],[[[],[]]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [[1,2,6,7],[3,5],[4],[8]] => 3
[[[],[],[],[[[[]]]]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 2
[[[],[],[[]],[[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[],[[[]]],[],[]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[],[[],[],[]],[]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [[1,2,3,7],[4,5,6],[8]] => 2
[[[],[],[[],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[],[[[[]]]],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[],[[],[],[],[]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [[1,2,3,4],[5,6,7],[8]] => 2
[[[],[],[[],[],[[]]]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => 3
[[[],[],[[],[[],[]]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [[1,2,7],[3,4],[5,6],[8]] => 3
[[[],[],[[],[[[]]]]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 4
[[[],[],[[[]],[],[]]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => 3
[[[],[],[[[]],[[]]]]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 4
[[[],[],[[[],[]],[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [[1,2,4],[3,6,7],[5],[8]] => 3
[[[],[],[[[[]]],[]]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 4
[[[],[],[[[],[],[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [[1,2,3],[4,6,7],[5],[8]] => 3
[[[],[],[[[],[[]]]]]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[],[],[[[[]],[]]]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[],[],[[[[[]]]]]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[],[[]],[],[],[],[]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 2
[[[],[[]],[],[],[[]]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[[]],[],[[],[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [[1,2,6,7],[3,5],[4],[8]] => 3
[[[],[[]],[[]],[[]]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[[]],[[[]]],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[[]],[[],[],[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [[1,2,3],[4,6,7],[5],[8]] => 3
[[[],[[]],[[[]],[]]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[],[[],[]],[],[],[]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [[1,2,5,6,7],[3,4],[8]] => 2
[[[],[[[]]],[],[],[]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[],[[],[]],[],[[]]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[[[]]],[],[[]]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[[],[]],[[]],[]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[[[]]],[[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[[],[],[]],[],[]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [[1,2,3,6,7],[4,5],[8]] => 2
[[[],[[],[[]]],[],[]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[[[]],[]],[],[]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 3
[[[],[[[],[]]],[],[]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [[1,2,6,7],[3,5],[4],[8]] => 3
[[[],[[[[]]]],[],[]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[],[[[[]]]],[[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[],[[],[],[],[]],[]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [[1,2,3,4,7],[5,6],[8]] => 2
[[[],[[],[],[[]]],[]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [[1,3,4,7],[2,6],[5],[8]] => 3
[[[],[[],[[],[]]],[]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [[1,2,7],[3,4],[5,6],[8]] => 3
[[[],[[],[[[]]]],[]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [[1,4,7],[2,6],[3],[5],[8]] => 4
[[[],[[[]],[],[]],[]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [[1,3,4,7],[2,6],[5],[8]] => 3
[[[],[[[]],[[]]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [[1,4,7],[2,6],[3],[5],[8]] => 4
[[[],[[[],[]],[]],[]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [[1,2,4,7],[3,6],[5],[8]] => 3
[[[],[[[[]]],[]],[]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [[1,4,7],[2,6],[3],[5],[8]] => 4
[[[],[[[],[],[]]],[]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [[1,2,3,7],[4,6],[5],[8]] => 3
[[[],[[[],[[]]]],[]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[],[[[[]],[]]],[]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[],[[[[],[]]]],[]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [[1,2,7],[3,6],[4],[5],[8]] => 4
[[[],[[[[[]]]]],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[],[[],[],[],[],[]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [[1,2,3,4,5],[6,7],[8]] => 2
[[[],[[],[],[],[[]]]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [[1,3,4,5],[2,7],[6],[8]] => 3
[[[],[[],[],[[],[]]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [[1,2,5],[3,4],[6,7],[8]] => 3
[[[],[[],[],[[[]]]]]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [[1,4,5],[2,7],[3],[6],[8]] => 4
[[[],[[],[[]],[[]]]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [[1,4,5],[2,7],[3],[6],[8]] => 4
[[[],[[],[[],[]],[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [[1,2,5],[3,4],[6,7],[8]] => 3
[[[],[[],[[],[[]]]]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [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] => [[1,3],[2,5],[4,7],[6],[8]] => 4
[[[],[[],[[[[]]]]]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 5
[[[],[[[]],[[[]]]]]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 5
[[[],[[[],[]],[[]]]]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => 4
[[[],[[[[]]],[[]]]]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 5
[[[],[[[],[[]]],[]]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => 4
[[[],[[[[]],[]],[]]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => 4
[[[],[[[[[]]]],[]]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 5
[[[],[[[],[],[],[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [[1,2,3,4],[5,7],[6],[8]] => 3
[[[],[[[],[],[[]]]]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [[1,3,4],[2,7],[5],[6],[8]] => 4
[[[],[[[],[[]],[]]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [[1,3,4],[2,7],[5],[6],[8]] => 4
[[[],[[[],[[[]]]]]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 5
[[[],[[[[]],[[]]]]]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 5
[[[],[[[[],[]],[]]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [[1,2,4],[3,7],[5],[6],[8]] => 4
[[[],[[[[[]]],[]]]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 5
[[[],[[[[],[[]]]]]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 5
[[[],[[[[[]],[]]]]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 5
[[[],[[[[[],[]]]]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 5
[[[],[[[[[[]]]]]]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 6
[[[[]],[],[],[],[],[]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 2
[[[[]],[],[],[],[[]]]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[[]],[],[],[[]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[[]],[],[],[[],[]]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [[1,2,6,7],[3,5],[4],[8]] => 3
[[[[]],[],[[],[]],[]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [[1,2,6,7],[3,5],[4],[8]] => 3
[[[[]],[],[[[]]],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[[]],[],[[],[],[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [[1,2,3],[4,6,7],[5],[8]] => 3
[[[[]],[],[[],[[]]]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[[]],[],[[[],[]]]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [[1,2,7],[3,6],[4],[5],[8]] => 4
[[[[]],[],[[[[]]]]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[]],[[]],[],[],[]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[[]],[[]],[[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[[]],[[]],[[[]]]]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[]],[[[]]],[],[]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[[]],[[[]]],[[]]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[]],[[[]],[]],[]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [[1,3,7],[2,6],[4],[5],[8]] => 4
[[[[]],[[[],[]]],[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [[1,2,7],[3,6],[4],[5],[8]] => 4
[[[[]],[[[[]]]],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[]],[[],[],[],[]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [[1,2,3,4],[5,7],[6],[8]] => 3
[[[[]],[[],[],[[]]]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [[1,3,4],[2,7],[5],[6],[8]] => 4
[[[[]],[[],[[[]]]]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 5
[[[[]],[[[]],[[]]]]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 5
[[[[]],[[[],[]],[]]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [[1,2,4],[3,7],[5],[6],[8]] => 4
[[[[]],[[[[]]],[]]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 5
[[[[]],[[[],[],[]]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [[1,2,3],[4,7],[5],[6],[8]] => 4
[[[[]],[[[],[[]]]]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 5
[[[[]],[[[[]],[]]]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 5
[[[[]],[[[[],[]]]]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 5
[[[[]],[[[[[]]]]]]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 6
[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => 2
[[[[[]]],[],[],[],[]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 3
[[[[],[]],[],[],[[]]]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => 3
[[[[[]]],[],[],[[]]]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[[[]]],[],[[]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[[],[]],[],[[],[]]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [[1,2,6,7],[3,4],[5],[8]] => 3
[[[[[]]],[],[[],[]]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [[1,2,7],[3,6],[4],[5],[8]] => 4
[[[[[]]],[],[[[]]]]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[[]]],[[]],[[]]]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[[]]],[[],[]],[]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [[1,2,7],[3,6],[4],[5],[8]] => 4
[[[[],[]],[[],[],[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [[1,2,3],[4,5,7],[6],[8]] => 3
[[[[],[]],[[],[[]]]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [[1,3,7],[2,5],[4],[6],[8]] => 4
[[[[],[]],[[[]],[]]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [[1,3,7],[2,5],[4],[6],[8]] => 4
[[[[],[]],[[[],[]]]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [[1,2,7],[3,5],[4],[6],[8]] => 4
[[[[],[]],[[[[]]]]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[]]],[[],[],[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [[1,2,3],[4,7],[5],[6],[8]] => 4
[[[[[]]],[[],[[]]]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 5
[[[[[]]],[[[]],[]]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 5
[[[[[]]],[[[],[]]]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 5
[[[[[]]],[[[[]]]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 6
[[[[],[],[]],[],[],[]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => 2
[[[[],[[]]],[],[],[]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [[1,3,5,6,7],[2],[4],[8]] => 3
[[[[[]],[]],[],[],[]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [[1,3,5,6,7],[2],[4],[8]] => 3
[[[[[],[]]],[],[],[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [[1,2,5,6,7],[3],[4],[8]] => 3
[[[[[[]]]],[],[],[]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 4
[[[[],[],[]],[],[[]]]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [[1,3,4,6,7],[2],[5],[8]] => 3
[[[[],[[]]],[],[[]]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => 4
[[[[[],[]]],[],[[]]]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => 4
[[[[[[]]]],[],[[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[[]],[]],[[]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 4
[[[[[[]]]],[[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[],[[]]],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [[1,2,7],[3,5],[4],[6],[8]] => 4
[[[[],[[]]],[[[]]]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[]],[]],[[[]]]]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[[]]]],[[],[]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 5
[[[[[[]]]],[[[]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 6
[[[[],[],[],[]],[],[]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [[1,2,3,4,6,7],[5],[8]] => 2
[[[[],[],[[]]],[],[]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [[1,3,4,6,7],[2],[5],[8]] => 3
[[[[],[[[]]]],[],[]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 4
[[[[[]],[],[]],[],[]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [[1,3,4,6,7],[2],[5],[8]] => 3
[[[[[[]]],[]],[],[]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 4
[[[[[],[],[]]],[],[]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 3
[[[[[[]],[]]],[],[]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [[1,3,6,7],[2],[4],[5],[8]] => 4
[[[[[[[]]]]],[],[]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 5
[[[[],[],[],[]],[[]]]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [[1,3,4,5,7],[2],[6],[8]] => 3
[[[[],[],[[]]],[[]]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[],[[],[]]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [[1,3,7],[2,5],[4],[6],[8]] => 4
[[[[],[[[]]]],[[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[]],[],[]],[[]]]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[[]],[[]]],[[]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[],[]],[]],[[]]]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => 4
[[[[[[]]],[]],[[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[],[[]]]],[[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 5
[[[[[[]],[]]],[[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 5
[[[[[[],[]]]],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 5
[[[[[[[]]]]],[[]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 6
[[[[],[],[],[],[]],[]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [[1,2,3,4,5,7],[6],[8]] => 2
[[[[],[],[],[[]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 3
[[[[],[],[[]],[]],[]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 3
[[[[],[],[[[]]]],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[],[[]],[[]]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[],[[],[]],[]],[]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [[1,2,5,7],[3,4],[6],[8]] => 3
[[[[],[[[]]],[]],[]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[],[[],[[]]]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [[1,3,7],[2,5],[4],[6],[8]] => 4
[[[[],[[[]],[]]],[]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [[1,3,7],[2,5],[4],[6],[8]] => 4
[[[[],[[[[]]]]],[]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[]],[],[],[]],[]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 3
[[[[[]],[[]],[]],[]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[[]],[[[]]]],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[],[]],[],[]],[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [[1,2,4,5,7],[3],[6],[8]] => 3
[[[[[[]]],[],[]],[]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 4
[[[[[],[]],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 4
[[[[[[]]],[[]]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[],[],[]],[]],[]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [[1,2,3,5,7],[4],[6],[8]] => 3
[[[[[],[[]]],[]],[]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 4
[[[[[[]],[]],[]],[]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 4
[[[[[[[]]]],[]],[]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 5
[[[[[],[],[],[]]],[]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 3
[[[[[],[],[[]]]],[]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [[1,3,4,7],[2],[5],[6],[8]] => 4
[[[[[],[[]],[]]],[]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [[1,3,4,7],[2],[5],[6],[8]] => 4
[[[[[],[[],[]]]],[]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [[1,2,7],[3,4],[5],[6],[8]] => 4
[[[[[],[[[]]]]],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 5
[[[[[[[]]],[]]],[]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 5
[[[[[[],[],[]]]],[]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 4
[[[[[[],[[]]]]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 5
[[[[[[[]],[]]]],[]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 5
[[[[[[[],[]]]]],[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => 5
[[[[[[[[]]]]]],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 6
[[[[],[],[],[],[],[]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [[1,2,3,4,5,6],[7],[8]] => 2
[[[[],[],[],[],[[]]]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 3
[[[[],[],[],[[]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 3
[[[[],[],[],[[],[]]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [[1,2,5,6],[3,4],[7],[8]] => 3
[[[[],[],[],[[[]]]]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[],[],[[]],[],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 3
[[[[],[],[[[]]],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[],[],[[],[],[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [[1,2,3],[4,5,6],[7],[8]] => 3
[[[[],[],[[],[[]]]]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [[1,3,6],[2,5],[4],[7],[8]] => 4
[[[[],[],[[[]],[]]]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [[1,3,6],[2,5],[4],[7],[8]] => 4
[[[[],[],[[[],[]]]]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [[1,2,6],[3,5],[4],[7],[8]] => 4
[[[[],[],[[[[]]]]]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[],[[]],[],[],[]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 3
[[[[],[[]],[],[[]]]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[],[[]],[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[],[[]],[[],[]]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [[1,2,6],[3,5],[4],[7],[8]] => 4
[[[[],[[]],[[[]]]]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[],[[[]]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[],[[[[]]]],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[],[[],[],[],[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [[1,2,3,4],[5,6],[7],[8]] => 3
[[[[],[[],[],[[]]]]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [[1,3,4],[2,6],[5],[7],[8]] => 4
[[[[],[[],[[],[]]]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => 4
[[[[],[[],[[[]]]]]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 5
[[[[],[[[]],[],[]]]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [[1,3,4],[2,6],[5],[7],[8]] => 4
[[[[],[[[],[]],[]]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [[1,2,4],[3,6],[5],[7],[8]] => 4
[[[[],[[[[]]],[]]]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 5
[[[[],[[[],[[]]]]]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 5
[[[[],[[[[]],[]]]]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 5
[[[[],[[[[],[]]]]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 5
[[[[],[[[[[]]]]]]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 6
[[[[[]],[],[],[],[]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 3
[[[[[]],[],[],[[]]]]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[[]],[],[[[]]]]]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[[]],[[]],[[]]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[[]],[[[]]],[]]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[[]],[[],[],[]]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [[1,2,3],[4,6],[5],[7],[8]] => 4
[[[[[]],[[],[[]]]]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 5
[[[[[]],[[[]],[]]]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 5
[[[[[]],[[[],[]]]]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 5
[[[[[]],[[[[]]]]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 6
[[[[[[]]],[],[],[]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 4
[[[[[[]]],[],[[]]]]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[[[]]],[[]],[]]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[[],[]],[[[]]]]]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 5
[[[[[[]]],[[],[]]]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 5
[[[[[[]]],[[[]]]]]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 6
[[[[[[[]]]],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 5
[[[[[[[]]]],[[]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 6
[[[[[],[],[],[]],[]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [[1,2,3,4,6],[5],[7],[8]] => 3
[[[[[],[],[[]]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 4
[[[[[],[[]],[]],[]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 4
[[[[[],[[],[]]],[]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [[1,2,6],[3,4],[5],[7],[8]] => 4
[[[[[[]],[],[]],[]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 4
[[[[[[]],[[]]],[]]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 5
[[[[[[[]]],[]],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 5
[[[[[[],[],[]]],[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [[1,2,3,6],[4],[5],[7],[8]] => 4
[[[[[[],[[]]]],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [[1,3,6],[2],[4],[5],[7],[8]] => 5
[[[[[[[]],[]]],[]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [[1,3,6],[2],[4],[5],[7],[8]] => 5
[[[[[[[],[]]]],[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 5
[[[[[[[[]]]]],[]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 6
[[[[[],[],[],[],[]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 3
[[[[[],[],[],[[]]]]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 4
[[[[[],[],[[]],[]]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 4
[[[[[],[],[[[]]]]]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 5
[[[[[],[[]],[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 4
[[[[[],[[]],[[]]]]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 5
[[[[[],[[],[]],[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [[1,2,5],[3,4],[6],[7],[8]] => 4
[[[[[],[[[]]],[]]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 5
[[[[[],[[],[[]]]]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 5
[[[[[],[[[]],[]]]]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 5
[[[[[],[[[],[]]]]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 5
[[[[[],[[[[]]]]]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 6
[[[[[[]],[],[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 4
[[[[[[]],[[]],[]]]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 5
[[[[[[]],[[[]]]]]]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 6
[[[[[[],[]],[],[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [[1,2,4,5],[3],[6],[7],[8]] => 4
[[[[[[[]]],[],[]]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 5
[[[[[[],[]],[[]]]]]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 5
[[[[[[[]]],[[]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 6
[[[[[[],[],[]],[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [[1,2,3,5],[4],[6],[7],[8]] => 4
[[[[[[],[[]]],[]]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 5
[[[[[[[]],[]],[]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 5
[[[[[[[],[]]],[]]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [[1,2,5],[3],[4],[6],[7],[8]] => 5
[[[[[[[[]]]],[]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 6
[[[[[[],[],[],[]]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 4
[[[[[[],[],[[]]]]]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 5
[[[[[[],[[]],[]]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 5
[[[[[[],[[],[]]]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 5
[[[[[[],[[[]]]]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 6
[[[[[[[]],[],[]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 5
[[[[[[[]],[[]]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 6
[[[[[[[],[]],[]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 5
[[[[[[[[]]],[]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 6
[[[[[[[],[],[]]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 5
[[[[[[[],[[]]]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 6
[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 6
[[[[[[[[],[]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 6
[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 7
[[],[[],[[],[[],[[],[]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 4
[[],[[],[[],[[],[[],[[],[]]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 5
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Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3,1 1,6,6,1 1,10,20,10,1 1,15,50,50,15,1 1,21,105,175,105,21,1
F2=1
F3=1+q
F4=1+3 q+q2
F5=1+6 q+6 q2+q3
F6=1+10 q+20 q2+10 q3+q4
F7=1+15 q+50 q2+50 q3+15 q4+q5
F8=1+21 q+105 q2+175 q3+105 q4+21 q5+q6
Description
The number of descents of a standard tableau.
Entry i of a standard Young tableau is a descent if i+1 appears in a row below the row of i.
Entry i of a standard Young tableau is a descent if i+1 appears in a row below the row of i.
Map
to binary tree: left brother = left child
Description
Return a binary tree of size n−1 (where n is the size of t, and where t is an ordered tree) by the following recursive rule:
- if x is the left brother of y in t, then x becomes the left child of y;
- if x is the last child of y in t, then x becomes the right child of y,
and removing the root of t.
- if x is the left brother of y in t, then x becomes the left child of y;
- if x is the last child of y in t, then x becomes the right child of y,
and removing the root of t.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length n and pairs of standard Young tableaux of the same shape and of size n, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length n and pairs of standard Young tableaux of the same shape and of size n, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
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