Identifier
-
Mp00139:
Ordered trees
—Zeilberger's Strahler bijection⟶
Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
St001176: Integer partitions ⟶ ℤ
Values
[[]] => [.,.] => [1] => [1] => 0
[[],[]] => [.,[.,.]] => [2,1] => [1,1] => 1
[[[]]] => [[.,.],.] => [1,2] => [2] => 0
[[],[],[]] => [.,[.,[.,.]]] => [3,2,1] => [1,1,1] => 2
[[],[[]]] => [.,[[.,.],.]] => [2,3,1] => [2,1] => 1
[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => [2,1] => 1
[[[],[]]] => [[.,.],[.,.]] => [1,3,2] => [2,1] => 1
[[[[]]]] => [[[.,.],.],.] => [1,2,3] => [3] => 0
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,1,1,1] => 3
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => [2,1,1] => 2
[[],[[]],[]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,1] => 2
[[],[[],[]]] => [.,[[.,.],[.,.]]] => [2,4,3,1] => [2,1,1] => 2
[[],[[[]]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => [3,1] => 1
[[[]],[],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => [2,1,1] => 2
[[[]],[[]]] => [[.,[[.,.],.]],.] => [2,3,1,4] => [3,1] => 1
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => [2,2] => 2
[[[[]]],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => [3,1] => 1
[[[],[],[]]] => [[.,.],[.,[.,.]]] => [1,4,3,2] => [2,1,1] => 2
[[[],[[]]]] => [[.,.],[[.,.],.]] => [1,3,4,2] => [3,1] => 1
[[[[]],[]]] => [[[.,.],.],[.,.]] => [1,2,4,3] => [3,1] => 1
[[[[],[]]]] => [[[.,.],[.,.]],.] => [1,3,2,4] => [3,1] => 1
[[[[[]]]]] => [[[[.,.],.],.],.] => [1,2,3,4] => [4] => 0
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,1,1,1,1] => 4
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,1,1,1] => 3
[[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,1,1,1] => 3
[[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [2,1,1,1] => 3
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,1,1] => 2
[[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [2,1,1,1] => 3
[[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,1,1] => 2
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [2,2,1] => 3
[[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,1,1] => 2
[[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [2,1,1,1] => 3
[[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [3,1,1] => 2
[[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [3,1,1] => 2
[[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [3,1,1] => 2
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [4,1] => 1
[[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [2,1,1,1] => 3
[[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,1,1] => 2
[[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,1,1] => 2
[[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,1,1] => 2
[[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1] => 1
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,2,1] => 3
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,1,1] => 2
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2] => 2
[[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [4,1] => 1
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,2,1] => 3
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2] => 2
[[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [3,2] => 2
[[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [3,2] => 2
[[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [4,1] => 1
[[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,1,1,1] => 3
[[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,1,1] => 2
[[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,1,1] => 2
[[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,1,1] => 2
[[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [4,1] => 1
[[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,1,1] => 2
[[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [4,1] => 1
[[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [3,2] => 2
[[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [4,1] => 1
[[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [3,1,1] => 2
[[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [4,1] => 1
[[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [4,1] => 1
[[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [4,1] => 1
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5] => 0
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,1,1,1,1,1] => 5
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,1,1,1,1] => 4
[[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,1,1,1,1] => 4
[[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [2,1,1,1,1] => 4
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [3,1,1,1] => 3
[[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [2,1,1,1,1] => 4
[[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,1,1,1] => 3
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [2,2,1,1] => 4
[[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [3,1,1,1] => 3
[[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [2,1,1,1,1] => 4
[[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [3,1,1,1] => 3
[[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [3,1,1,1] => 3
[[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [3,1,1,1] => 3
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [4,1,1] => 2
[[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [2,1,1,1,1] => 4
[[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [3,1,1,1] => 3
[[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [3,1,1,1] => 3
[[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [3,1,1,1] => 3
[[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [4,1,1] => 2
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [2,2,1,1] => 4
[[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,1,1,1] => 3
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [3,2,1] => 3
[[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [4,1,1] => 2
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [2,2,1,1] => 4
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [3,2,1] => 3
[[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [3,2,1] => 3
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [3,2,1] => 3
[[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [4,1,1] => 2
[[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [2,1,1,1,1] => 4
[[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [3,1,1,1] => 3
[[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [3,1,1,1] => 3
[[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [3,1,1,1] => 3
[[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [4,1,1] => 2
[[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [3,1,1,1] => 3
[[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [4,1,1] => 2
[[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [3,2,1] => 3
[[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [4,1,1] => 2
>>> Load all 1646 entries. <<<[[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [3,1,1,1] => 3
[[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [4,1,1] => 2
[[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [4,1,1] => 2
[[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [4,1,1] => 2
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [5,1] => 1
[[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [2,1,1,1,1] => 4
[[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [3,1,1,1] => 3
[[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [3,1,1,1] => 3
[[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [3,1,1,1] => 3
[[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [4,1,1] => 2
[[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,1,1,1] => 3
[[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [4,1,1] => 2
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [3,2,1] => 3
[[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [4,1,1] => 2
[[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [3,1,1,1] => 3
[[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [4,1,1] => 2
[[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [4,1,1] => 2
[[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [4,1,1] => 2
[[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1] => 1
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,2,1,1] => 4
[[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [3,1,1,1] => 3
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,2,1] => 3
[[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,1,1] => 2
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,2,1] => 3
[[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,1,1] => 2
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,2,1] => 3
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [4,2] => 2
[[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [4,1,1] => 2
[[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [5,1] => 1
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [2,2,2] => 4
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1] => 3
[[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [3,2,1] => 3
[[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [3,2,1] => 3
[[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [4,1,1] => 2
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1] => 3
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,2] => 2
[[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [4,2] => 2
[[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [4,2] => 2
[[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [5,1] => 1
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [2,2,1,1] => 4
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [3,2,1] => 3
[[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,1] => 3
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,2,1] => 3
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,2] => 2
[[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,1] => 3
[[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [4,2] => 2
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [3,3] => 3
[[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [4,2] => 2
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,1] => 3
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [4,2] => 2
[[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [4,2] => 2
[[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [4,2] => 2
[[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [5,1] => 1
[[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,1,1,1,1] => 4
[[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [3,1,1,1] => 3
[[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [3,1,1,1] => 3
[[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [3,1,1,1] => 3
[[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [4,1,1] => 2
[[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [3,1,1,1] => 3
[[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [4,1,1] => 2
[[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,2,1] => 3
[[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [4,1,1] => 2
[[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [3,1,1,1] => 3
[[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [4,1,1] => 2
[[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [4,1,1] => 2
[[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [4,1,1] => 2
[[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [5,1] => 1
[[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [3,1,1,1] => 3
[[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [4,1,1] => 2
[[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [4,1,1] => 2
[[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [4,1,1] => 2
[[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [5,1] => 1
[[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [3,2,1] => 3
[[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [4,1,1] => 2
[[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [4,2] => 2
[[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [5,1] => 1
[[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [3,2,1] => 3
[[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [4,2] => 2
[[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [4,2] => 2
[[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [4,2] => 2
[[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [5,1] => 1
[[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [3,1,1,1] => 3
[[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [4,1,1] => 2
[[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [4,1,1] => 2
[[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,1,1] => 2
[[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [5,1] => 1
[[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [4,1,1] => 2
[[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [5,1] => 1
[[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [4,2] => 2
[[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [5,1] => 1
[[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [4,1,1] => 2
[[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [5,1] => 1
[[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [5,1] => 1
[[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [5,1] => 1
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6] => 0
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1] => 6
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,1,1,1,1,1] => 5
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,1,1,1,1,1] => 5
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [2,1,1,1,1,1] => 5
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [3,1,1,1,1] => 4
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [2,1,1,1,1,1] => 5
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [3,1,1,1,1] => 4
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [2,2,1,1,1] => 5
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [3,1,1,1,1] => 4
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [2,1,1,1,1,1] => 5
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [3,1,1,1,1] => 4
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [3,1,1,1,1] => 4
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [3,1,1,1,1] => 4
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,1,1,1] => 3
[[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [2,1,1,1,1,1] => 5
[[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [3,1,1,1,1] => 4
[[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [3,1,1,1,1] => 4
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [3,1,1,1,1] => 4
[[],[],[[]],[[[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,1,1,1] => 3
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [2,2,1,1,1] => 5
[[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,1,1,1,1] => 4
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [3,2,1,1] => 4
[[],[],[[[]]],[[]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,1,1,1] => 3
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [2,2,1,1,1] => 5
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [3,2,1,1] => 4
[[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [3,2,1,1] => 4
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [3,2,1,1] => 4
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,1,1,1] => 3
[[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [2,1,1,1,1,1] => 5
[[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [3,1,1,1,1] => 4
[[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [3,1,1,1,1] => 4
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [3,1,1,1,1] => 4
[[],[],[[],[[[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [4,1,1,1] => 3
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [3,1,1,1,1] => 4
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 3
[[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [3,2,1,1] => 4
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,1,1,1] => 3
[[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [3,1,1,1,1] => 4
[[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [4,1,1,1] => 3
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [4,1,1,1] => 3
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [4,1,1,1] => 3
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [5,1,1] => 2
[[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [2,1,1,1,1,1] => 5
[[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [3,1,1,1,1] => 4
[[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [3,1,1,1,1] => 4
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [3,1,1,1,1] => 4
[[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,1,1,1] => 3
[[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [3,1,1,1,1] => 4
[[],[[]],[[]],[[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,1,1,1] => 3
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [3,2,1,1] => 4
[[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,1,1,1] => 3
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [3,1,1,1,1] => 4
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 3
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 3
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 3
[[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [5,1,1] => 2
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [2,2,1,1,1] => 5
[[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [3,1,1,1,1] => 4
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [3,2,1,1] => 4
[[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,1,1,1] => 3
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [3,2,1,1] => 4
[[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,1,1,1] => 3
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [3,2,1,1] => 4
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [4,2,1] => 3
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 3
[[],[[[]]],[[[]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [5,1,1] => 2
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [2,2,2,1] => 5
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [3,2,1,1] => 4
[[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [3,2,1,1] => 4
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [3,2,1,1] => 4
[[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,1,1,1] => 3
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [3,2,1,1] => 4
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [4,2,1] => 3
[[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [4,2,1] => 3
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [4,2,1] => 3
[[],[[[[]]]],[[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [5,1,1] => 2
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [2,2,1,1,1] => 5
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [3,2,1,1] => 4
[[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [3,2,1,1] => 4
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [3,2,1,1] => 4
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [4,2,1] => 3
[[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [3,2,1,1] => 4
[[],[[[]],[[]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [4,2,1] => 3
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,3,1] => 4
[[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [4,2,1] => 3
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [3,2,1,1] => 4
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [4,2,1] => 3
[[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [4,2,1] => 3
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [4,2,1] => 3
[[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [5,1,1] => 2
[[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [2,1,1,1,1,1] => 5
[[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [3,1,1,1,1] => 4
[[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [3,1,1,1,1] => 4
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [3,1,1,1,1] => 4
[[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1] => 3
[[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [3,1,1,1,1] => 4
[[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1] => 3
[[],[[],[[],[]],[]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [3,2,1,1] => 4
[[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1] => 3
[[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [3,1,1,1,1] => 4
[[],[[],[[],[[]]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,1,1,1] => 3
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,1,1,1] => 3
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [4,1,1,1] => 3
[[],[[],[[[[]]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [5,1,1] => 2
[[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [3,1,1,1,1] => 4
[[],[[[]],[],[[]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 3
[[],[[[]],[[]],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 3
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 3
[[],[[[]],[[[]]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [5,1,1] => 2
[[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [3,2,1,1] => 4
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 3
[[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [4,2,1] => 3
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [5,1,1] => 2
[[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [3,2,1,1] => 4
[[],[[[],[[]]],[]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [4,2,1] => 3
[[],[[[[]],[]],[]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [4,2,1] => 3
[[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [4,2,1] => 3
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [5,1,1] => 2
[[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [3,1,1,1,1] => 4
[[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,1,1,1] => 3
[[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [4,1,1,1] => 3
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [4,1,1,1] => 3
[[],[[[],[[[]]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [5,1,1] => 2
[[],[[[[]],[],[]]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 3
[[],[[[[]],[[]]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [5,1,1] => 2
[[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [4,2,1] => 3
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [5,1,1] => 2
[[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [4,1,1,1] => 3
[[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [5,1,1] => 2
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [5,1,1] => 2
[[],[[[[[],[]]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [5,1,1] => 2
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [6,1] => 1
[[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [2,1,1,1,1,1] => 5
[[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [3,1,1,1,1] => 4
[[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [3,1,1,1,1] => 4
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [3,1,1,1,1] => 4
[[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,1,1,1] => 3
[[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [3,1,1,1,1] => 4
[[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,1,1,1] => 3
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [3,2,1,1] => 4
[[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,1,1,1] => 3
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [3,1,1,1,1] => 4
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 3
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 3
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 3
[[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [5,1,1] => 2
[[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [3,1,1,1,1] => 4
[[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,1,1,1] => 3
[[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,1,1,1] => 3
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 3
[[[]],[[]],[[[]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [5,1,1] => 2
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [3,2,1,1] => 4
[[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,1,1,1] => 3
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [4,2,1] => 3
[[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [5,1,1] => 2
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [3,2,1,1] => 4
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [4,2,1] => 3
[[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,2,1] => 3
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,2,1] => 3
[[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [5,1,1] => 2
[[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [3,1,1,1,1] => 4
[[[]],[[],[],[[]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 3
[[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 3
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 3
[[[]],[[],[[[]]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [5,1,1] => 2
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 3
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [5,1,1] => 2
[[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [4,2,1] => 3
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [5,1,1] => 2
[[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 3
[[[]],[[[],[[]]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [5,1,1] => 2
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [5,1,1] => 2
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [5,1,1] => 2
[[[]],[[[[[]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1] => 1
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,2,1,1,1] => 5
[[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [3,1,1,1,1] => 4
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [3,2,1,1] => 4
[[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,1,1,1] => 3
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [3,2,1,1] => 4
[[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,1,1,1] => 3
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [3,2,1,1] => 4
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [4,2,1] => 3
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 3
[[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,1,1] => 2
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [3,2,1,1] => 4
[[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,1,1,1] => 3
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [4,2,1] => 3
[[[[]]],[[]],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,1,1] => 2
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,3,1] => 4
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [4,2,1] => 3
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [4,2,1] => 3
[[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,1,1] => 2
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [3,2,1,1] => 4
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [4,2,1] => 3
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [4,2,1] => 3
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [4,2,1] => 3
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [5,2] => 2
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 3
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [5,1,1] => 2
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [5,1,1] => 2
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [5,1,1] => 2
[[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [6,1] => 1
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [2,2,2,1] => 5
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,1,1] => 4
[[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [3,2,1,1] => 4
[[[[],[]]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [3,2,1,1] => 4
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,1,1,1] => 3
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,2,2] => 4
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [4,2,1] => 3
[[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,2,1] => 3
[[[[],[]]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [4,2,1] => 3
[[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [5,1,1] => 2
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,2] => 4
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [4,2,1] => 3
[[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [4,2,1] => 3
[[[[],[]]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [4,2,1] => 3
[[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [5,1,1] => 2
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,2] => 4
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,2,1] => 3
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [4,2,1] => 3
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [5,2] => 2
[[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [4,2,1] => 3
[[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [5,2] => 2
[[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [4,2,1] => 3
[[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [5,2] => 2
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [5,1,1] => 2
[[[[[]]]],[[[]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [6,1] => 1
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [2,2,2,1] => 5
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,2,2] => 4
[[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,2,2] => 4
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [3,2,1,1] => 4
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,2,1] => 3
[[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,2,2] => 4
[[[[]],[[]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [4,2,1] => 3
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,3,1] => 4
[[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [4,2,1] => 3
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,2,2] => 4
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [4,2,1] => 3
[[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [4,2,1] => 3
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [4,2,1] => 3
[[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [5,1,1] => 2
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [3,2,1,1] => 4
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [4,2,1] => 3
[[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [4,2,1] => 3
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [4,2,1] => 3
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [5,2] => 2
[[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [4,2,1] => 3
[[[[]],[[]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [5,2] => 2
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [4,3] => 3
[[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [5,2] => 2
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [4,2,1] => 3
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [5,2] => 2
[[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [5,2] => 2
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [5,2] => 2
[[[[[[]]]]],[[]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [6,1] => 1
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [2,2,1,1,1] => 5
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [3,2,1,1] => 4
[[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [3,2,1,1] => 4
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [3,2,1,1] => 4
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [4,2,1] => 3
[[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [3,2,1,1] => 4
[[[],[[]],[[]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [4,2,1] => 3
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,3,1] => 4
[[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [4,2,1] => 3
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [3,2,1,1] => 4
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [4,2,1] => 3
[[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [4,2,1] => 3
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [4,2,1] => 3
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,2] => 2
[[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [3,2,1,1] => 4
[[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [4,2,1] => 3
[[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [4,2,1] => 3
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [4,2,1] => 3
[[[[]],[[[]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [5,2] => 2
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,3,1] => 4
[[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [4,2,1] => 3
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [4,3] => 3
[[[[[]]],[[]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [5,2] => 2
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,3,1] => 4
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [4,3] => 3
[[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [4,3] => 3
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [4,3] => 3
[[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [5,2] => 2
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [3,2,1,1] => 4
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [4,2,1] => 3
[[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [4,2,1] => 3
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [4,2,1] => 3
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [5,2] => 2
[[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [4,2,1] => 3
[[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [5,2] => 2
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [4,3] => 3
[[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [5,2] => 2
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [4,2,1] => 3
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [5,2] => 2
[[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [5,2] => 2
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [5,2] => 2
[[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [6,1] => 1
[[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,1,1,1,1,1] => 5
[[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [3,1,1,1,1] => 4
[[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [3,1,1,1,1] => 4
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [3,1,1,1,1] => 4
[[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 3
[[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [3,1,1,1,1] => 4
[[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 3
[[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [3,2,1,1] => 4
[[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 3
[[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [3,1,1,1,1] => 4
[[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [4,1,1,1] => 3
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [4,1,1,1] => 3
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [4,1,1,1] => 3
[[[],[],[[[[]]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [5,1,1] => 2
[[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [3,1,1,1,1] => 4
[[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 3
[[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 3
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 3
[[[],[[]],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [5,1,1] => 2
[[[],[[],[]],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,2,2] => 4
[[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 3
[[[],[[],[]],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [4,2,1] => 3
[[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [5,1,1] => 2
[[[],[[],[],[]],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [3,2,1,1] => 4
[[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [4,2,1] => 3
[[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [4,2,1] => 3
[[[],[[[],[]]],[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [4,2,1] => 3
[[[],[[[[]]]],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [5,1,1] => 2
[[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [3,1,1,1,1] => 4
[[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,1,1,1] => 3
[[[],[[],[[]],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [4,1,1,1] => 3
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [4,1,1,1] => 3
[[[],[[],[[[]]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [5,1,1] => 2
[[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 3
[[[],[[[]],[[]]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [5,1,1] => 2
[[[],[[[],[]],[]]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [4,2,1] => 3
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [5,1,1] => 2
[[[],[[[],[],[]]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,1,1,1] => 3
[[[],[[[],[[]]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [5,1,1] => 2
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [5,1,1] => 2
[[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [5,1,1] => 2
[[[],[[[[[]]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [6,1] => 1
[[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [3,1,1,1,1] => 4
[[[[]],[],[],[[]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 3
[[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 3
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 3
[[[[]],[],[[[]]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [5,1,1] => 2
[[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 3
[[[[]],[[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [5,1,1] => 2
[[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [4,2,1] => 3
[[[[]],[[[]]],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [5,1,1] => 2
[[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 3
[[[[]],[[],[[]]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [5,1,1] => 2
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [5,1,1] => 2
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [5,1,1] => 2
[[[[]],[[[[]]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [6,1] => 1
[[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [3,2,1,1] => 4
[[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 3
[[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,2,1] => 3
[[[[[]]],[],[[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [5,1,1] => 2
[[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [4,2,1] => 3
[[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [5,1,1] => 2
[[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [4,2,1] => 3
[[[[],[]],[[[]]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [5,2] => 2
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [5,1,1] => 2
[[[[[]]],[[[]]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [6,1] => 1
[[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,2,2] => 4
[[[[],[[]]],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [4,2,1] => 3
[[[[[]],[]],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [4,2,1] => 3
[[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [4,2,1] => 3
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [5,1,1] => 2
[[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [4,2,1] => 3
[[[[],[[]]],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [5,2] => 2
[[[[[]],[]],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [5,2] => 2
[[[[[],[]]],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [5,2] => 2
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [6,1] => 1
[[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [3,2,1,1] => 4
[[[[],[],[[]]],[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,2,1] => 3
[[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [4,2,1] => 3
[[[[],[[],[]]],[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [4,2,1] => 3
[[[[],[[[]]]],[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [5,2] => 2
[[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [4,2,1] => 3
[[[[[]],[[]]],[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [5,2] => 2
[[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [4,3] => 3
[[[[[[]]],[]],[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [5,2] => 2
[[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [4,2,1] => 3
[[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [5,2] => 2
[[[[[[]],[]]],[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [5,2] => 2
[[[[[[],[]]]],[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [5,2] => 2
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [6,1] => 1
[[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [3,1,1,1,1] => 4
[[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => 3
[[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1] => 3
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [4,1,1,1] => 3
[[[[],[],[[[]]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [5,1,1] => 2
[[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1] => 3
[[[[],[[]],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [5,1,1] => 2
[[[[],[[],[]],[]]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [4,2,1] => 3
[[[[],[[[]]],[]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [5,1,1] => 2
[[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [4,1,1,1] => 3
[[[[],[[],[[]]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,1,1] => 2
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,1,1] => 2
[[[[],[[[],[]]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,1,1] => 2
[[[[],[[[[]]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [6,1] => 1
[[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 3
[[[[[]],[],[[]]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [5,1,1] => 2
[[[[[]],[[]],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [5,1,1] => 2
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [5,1,1] => 2
[[[[[]],[[[]]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [6,1] => 1
[[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [4,2,1] => 3
[[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [5,1,1] => 2
[[[[[],[]],[[]]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [5,2] => 2
[[[[[[]]],[[]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [6,1] => 1
[[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [4,2,1] => 3
[[[[[],[[]]],[]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [5,2] => 2
[[[[[[]],[]],[]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [5,2] => 2
[[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [5,2] => 2
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [6,1] => 1
[[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,1,1] => 3
[[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [5,1,1] => 2
[[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [5,1,1] => 2
[[[[[],[[],[]]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [5,1,1] => 2
[[[[[],[[[]]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [6,1] => 1
[[[[[[]],[],[]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [5,1,1] => 2
[[[[[[]],[[]]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [6,1] => 1
[[[[[[],[]],[]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [5,2] => 2
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [6,1] => 1
[[[[[[],[],[]]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [5,1,1] => 2
[[[[[[],[[]]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [6,1] => 1
[[[[[[[]],[]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [6,1] => 1
[[[[[[[],[]]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [6,1] => 1
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7] => 0
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1] => 7
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [2,2,1,1,1,1] => 6
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [3,2,1,1,1] => 5
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [3,1,1,1,1,1] => 5
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [4,1,1,1,1] => 4
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [5,1,1,1] => 3
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [4,1,1,1,1] => 4
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [4,1,1,1,1] => 4
[[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [4,1,1,1,1] => 4
[[],[],[[]],[[[]],[]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [4,1,1,1,1] => 4
[[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [4,1,1,1,1] => 4
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [5,1,1,1] => 3
[[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [2,2,1,1,1,1] => 6
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [2,2,2,1,1] => 6
[[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [3,2,1,1,1] => 5
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [4,1,1,1,1] => 4
[[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [3,2,1,1,1] => 5
[[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [2,2,1,1,1,1] => 6
[[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [3,2,1,1,1] => 5
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [3,2,1,1,1] => 5
[[],[],[[[]],[],[]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [3,2,1,1,1] => 5
[[],[],[[[]],[[]]],[]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,2,1,1] => 4
[[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [3,3,1,1] => 5
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [4,2,1,1] => 4
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [5,1,1,1] => 3
[[],[],[[],[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1] => 6
[[],[],[[],[],[],[[]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[],[[]],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[],[[[[]]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [5,1,1,1] => 3
[[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [4,1,1,1,1] => 4
[[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [5,1,1,1] => 3
[[],[],[[[],[]],[[]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4
[[],[],[[[[]]],[[]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [5,1,1,1] => 3
[[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [5,1,1,1] => 3
[[],[],[[[],[],[],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [3,1,1,1,1,1] => 5
[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [5,1,1,1] => 3
[[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [4,1,1,1,1] => 4
[[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [5,1,1,1] => 3
[[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [4,2,1,1] => 4
[[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [5,1,1,1] => 3
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [5,1,1,1] => 3
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [5,1,1,1] => 3
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [5,1,1,1] => 3
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [6,1,1] => 2
[[],[[]],[],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [2,1,1,1,1,1,1] => 6
[[],[[]],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [3,1,1,1,1,1] => 5
[[],[[]],[],[],[[]],[]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [3,1,1,1,1,1] => 5
[[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [3,1,1,1,1,1] => 5
[[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [3,1,1,1,1,1] => 5
[[],[[]],[],[[[[]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [5,1,1,1] => 3
[[],[[]],[[]],[],[],[]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [3,1,1,1,1,1] => 5
[[],[[]],[[]],[[]],[]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [4,1,1,1,1] => 4
[[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [4,1,1,1,1] => 4
[[],[[]],[[]],[[[]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [5,1,1,1] => 3
[[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [3,2,1,1,1] => 5
[[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4
[[],[[]],[[[]]],[[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [5,1,1,1] => 3
[[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [3,2,1,1,1] => 5
[[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4
[[],[[]],[[[],[]]],[]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4
[[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [3,1,1,1,1,1] => 5
[[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [4,1,1,1,1] => 4
[[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [5,1,1,1] => 3
[[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [5,1,1,1] => 3
[[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4
[[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [5,1,1,1] => 3
[[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [5,1,1,1] => 3
[[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [5,1,1,1] => 3
[[],[[]],[[[[[]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [6,1,1] => 2
[[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [2,2,1,1,1,1] => 6
[[],[[[]]],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [3,1,1,1,1,1] => 5
[[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [3,2,1,1,1] => 5
[[],[[[]]],[],[[[]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [5,1,1,1] => 3
[[],[[[]]],[[]],[],[]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [4,1,1,1,1] => 4
[[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4
[[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4
[[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4
[[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [5,2,1] => 3
[[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [5,1,1,1] => 3
[[],[[[]]],[[[]],[]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [5,1,1,1] => 3
[[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [5,1,1,1] => 3
[[],[[[]]],[[[[]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [6,1,1] => 2
[[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [2,2,2,1,1] => 6
[[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [3,2,1,1,1] => 5
[[],[[[]],[]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [3,2,1,1,1] => 5
[[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [3,2,1,1,1] => 5
[[],[[[[]]]],[],[],[]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [4,1,1,1,1] => 4
[[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [3,2,2,1] => 5
[[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4
[[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4
[[],[[[[]]]],[],[[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [5,1,1,1] => 3
[[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4
[[],[[[[]]]],[[]],[]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [5,1,1,1] => 3
[[],[[[],[]]],[[],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4
[[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [5,2,1] => 3
[[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [5,1,1,1] => 3
[[],[[[[]]]],[[[]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [6,1,1] => 2
[[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [2,2,2,1,1] => 6
[[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [3,2,1,1,1] => 5
[[],[[[]],[],[]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [3,2,2,1] => 5
[[],[[[]],[[]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4
[[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [3,3,1,1] => 5
[[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [3,2,2,1] => 5
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [5,1,1,1] => 3
[[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [3,2,1,1,1] => 5
[[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [5,2,1] => 3
[[],[[[]],[],[]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4
[[],[[[]],[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [5,2,1] => 3
[[],[[[[]]],[]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [5,2,1] => 3
[[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [5,2,1] => 3
[[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [5,2,1] => 3
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [6,1,1] => 2
[[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [2,2,1,1,1,1] => 6
[[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [3,2,1,1,1] => 5
[[],[[],[[]],[],[]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [3,2,1,1,1] => 5
[[],[[],[[]],[[]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => 4
[[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [3,3,1,1] => 5
[[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [3,2,1,1,1] => 5
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [4,2,1,1] => 4
[[],[[[]],[],[],[]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [3,2,1,1,1] => 5
[[],[[[[]]],[],[]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [4,2,1,1] => 4
[[],[[[],[]],[[]]],[]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [4,3,1] => 4
[[],[[[[]]],[[]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [5,2,1] => 3
[[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [3,3,1,1] => 5
[[],[[[[]],[]],[]],[]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [4,3,1] => 4
[[],[[[[],[]]],[]],[]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [4,3,1] => 4
[[],[[[[[]]]],[]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [5,2,1] => 3
[[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [3,2,1,1,1] => 5
[[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,2,1,1] => 4
[[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [5,2,1] => 3
[[],[[[[]],[],[]]],[]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [4,2,1,1] => 4
[[],[[[[]],[[]]]],[]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [5,2,1] => 3
[[],[[[[],[]],[]]],[]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [4,3,1] => 4
[[],[[[[[]]],[]]],[]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [5,2,1] => 3
[[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [5,2,1] => 3
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [5,2,1] => 3
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [6,1,1] => 2
[[],[[],[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1] => 6
[[],[[],[],[],[],[[]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [3,1,1,1,1,1] => 5
[[],[[],[],[],[[]],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [3,1,1,1,1,1] => 5
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [3,1,1,1,1,1] => 5
[[],[[],[],[],[[[]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [4,1,1,1,1] => 4
[[],[[],[],[[]],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [4,1,1,1,1] => 4
[[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [3,2,1,1,1] => 5
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [3,1,1,1,1,1] => 5
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [4,1,1,1,1] => 4
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [4,1,1,1,1] => 4
[[],[[],[],[[[[]]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [5,1,1,1] => 3
[[],[[],[[]],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [3,1,1,1,1,1] => 5
[[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [4,1,1,1,1] => 4
[[],[[],[[]],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [5,1,1,1] => 3
[[],[[],[[[]]],[],[]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [4,1,1,1,1] => 4
[[],[[],[[],[]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4
[[],[[],[[[]]],[[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [5,1,1,1] => 3
[[],[[],[[],[[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4
[[],[[],[[[[]]]],[]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [5,1,1,1] => 3
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [4,1,1,1,1] => 4
[[],[[],[[],[[[]]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [5,1,1,1] => 3
[[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [4,1,1,1,1] => 4
[[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [5,1,1,1] => 3
[[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,2,1,1] => 4
[[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [5,1,1,1] => 3
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [4,1,1,1,1] => 4
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [5,1,1,1] => 3
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [5,1,1,1] => 3
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [5,1,1,1] => 3
[[],[[],[[[[[]]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [6,1,1] => 2
[[],[[[]],[],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [3,1,1,1,1,1] => 5
[[],[[[]],[],[[[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [5,1,1,1] => 3
[[],[[[]],[[]],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [4,1,1,1,1] => 4
[[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4
[[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [5,1,1,1] => 3
[[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [5,1,1,1] => 3
[[],[[[]],[[[[]]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [6,1,1] => 2
[[],[[[],[]],[],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [3,2,1,1,1] => 5
[[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [4,1,1,1,1] => 4
[[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [5,1,1,1] => 3
[[],[[[],[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4
[[],[[[],[]],[[[]]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [5,2,1] => 3
[[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [5,1,1,1] => 3
[[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [6,1,1] => 2
[[],[[[],[],[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [3,2,2,1] => 5
[[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [5,1,1,1] => 3
[[],[[[],[],[]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4
[[],[[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [5,2,1] => 3
[[],[[[[]],[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [5,2,1] => 3
[[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [6,1,1] => 2
[[],[[[],[],[],[]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [3,2,1,1,1] => 5
[[],[[[],[[[]]]],[]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [5,2,1] => 3
[[],[[[[]],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [5,2,1] => 3
[[],[[[[],[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [4,3,1] => 4
[[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [5,2,1] => 3
[[],[[[[],[[]]]],[]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [5,2,1] => 3
[[],[[[[[],[]]]],[]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [5,2,1] => 3
[[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [6,1,1] => 2
[[],[[[],[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [3,1,1,1,1,1] => 5
[[],[[[],[],[[]],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [4,1,1,1,1] => 4
[[],[[[],[],[[[]]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [5,1,1,1] => 3
[[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4
[[],[[[],[[[]]],[]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [5,1,1,1] => 3
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [5,1,1,1] => 3
[[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [5,1,1,1] => 3
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [5,1,1,1] => 3
[[],[[[],[[[[]]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [6,1,1] => 2
[[],[[[[]],[],[],[]]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [4,1,1,1,1] => 4
[[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [5,1,1,1] => 3
[[],[[[[]],[[[]]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [6,1,1] => 2
[[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [5,1,1,1] => 3
[[],[[[[],[]],[[]]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [5,2,1] => 3
[[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [6,1,1] => 2
[[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [5,2,1] => 3
[[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [6,1,1] => 2
[[],[[[[],[],[],[]]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [4,1,1,1,1] => 4
[[],[[[[],[],[[]]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [5,1,1,1] => 3
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [5,1,1,1] => 3
[[],[[[[],[[[]]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [6,1,1] => 2
[[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [5,1,1,1] => 3
[[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [6,1,1] => 2
[[],[[[[[],[]],[]]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [5,2,1] => 3
[[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [6,1,1] => 2
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [6,1,1] => 2
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [6,1,1] => 2
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [6,1,1] => 2
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [7,1] => 1
[[[]],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [2,1,1,1,1,1,1] => 6
[[[]],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [3,1,1,1,1,1] => 5
[[[]],[],[],[],[[]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [3,1,1,1,1,1] => 5
[[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [3,1,1,1,1,1] => 5
[[[]],[],[],[],[[[]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [4,1,1,1,1] => 4
[[[]],[],[],[[]],[],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [3,1,1,1,1,1] => 5
[[[]],[],[],[[]],[[]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [4,1,1,1,1] => 4
[[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [3,2,1,1,1] => 5
[[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [3,1,1,1,1,1] => 5
[[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [4,1,1,1,1] => 4
[[[]],[],[],[[[[]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [5,1,1,1] => 3
[[[]],[],[[]],[],[],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [3,1,1,1,1,1] => 5
[[[]],[],[[]],[],[[]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [4,1,1,1,1] => 4
[[[]],[],[[]],[[]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [4,1,1,1,1] => 4
[[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [4,1,1,1,1] => 4
[[[]],[],[[[]]],[],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [4,1,1,1,1] => 4
[[[]],[],[[],[]],[[]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4
[[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [3,1,1,1,1,1] => 5
[[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [4,1,1,1,1] => 4
[[[]],[],[[],[[[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [5,1,1,1] => 3
[[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [4,1,1,1,1] => 4
[[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4
[[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [4,1,1,1,1] => 4
[[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [5,1,1,1] => 3
[[[]],[],[[[[[]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [6,1,1] => 2
[[[]],[[]],[],[],[],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [3,1,1,1,1,1] => 5
[[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [4,1,1,1,1] => 4
[[[]],[[]],[[]],[[]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [5,1,1,1] => 3
[[[]],[[]],[[[]]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [5,1,1,1] => 3
[[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [4,1,1,1,1] => 4
[[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [5,1,1,1] => 3
[[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [5,1,1,1] => 3
[[[]],[[]],[[[[]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [6,1,1] => 2
[[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [3,2,1,1,1] => 5
[[[]],[[[]]],[],[],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [4,1,1,1,1] => 4
[[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4
[[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4
[[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [5,2,1] => 3
[[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [3,2,2,1] => 5
[[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4
[[[]],[[[[]]]],[],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [5,1,1,1] => 3
[[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [5,2,1] => 3
[[[]],[[[]],[]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [5,2,1] => 3
[[[]],[[[[]]]],[[]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [6,1,1] => 2
[[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [3,2,1,1,1] => 5
[[[]],[[],[],[[]]],[]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4
[[[]],[[],[[[]]]],[]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [5,2,1] => 3
[[[]],[[[]],[],[]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4
[[[]],[[[]],[[]]],[]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [5,2,1] => 3
[[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [4,3,1] => 4
[[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [5,2,1] => 3
[[[]],[[[[[]]]]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [6,1,1] => 2
[[[]],[[],[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [3,1,1,1,1,1] => 5
[[[]],[[],[],[],[[]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [4,1,1,1,1] => 4
[[[]],[[],[],[[[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [5,1,1,1] => 3
[[[]],[[],[[]],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [5,1,1,1] => 3
[[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4
[[[]],[[],[[[]]],[]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [5,1,1,1] => 3
[[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [5,1,1,1] => 3
[[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [5,1,1,1] => 3
[[[]],[[],[[[[]]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [6,1,1] => 2
[[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [4,1,1,1,1] => 4
[[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [5,1,1,1] => 3
[[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [6,1,1] => 2
[[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [5,1,1,1] => 3
[[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [6,1,1] => 2
[[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [6,1,1] => 2
[[[]],[[[],[[]],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [5,1,1,1] => 3
[[[]],[[[],[[[]]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [6,1,1] => 2
[[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [6,1,1] => 2
[[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [5,2,1] => 3
[[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [6,1,1] => 2
[[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [6,1,1] => 2
[[[]],[[[[[[]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1] => 1
[[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,2,1,1,1,1] => 6
[[[[]]],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [3,1,1,1,1,1] => 5
[[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [3,2,1,1,1] => 5
[[[[]]],[],[],[],[[]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [4,1,1,1,1] => 4
[[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [3,2,1,1,1] => 5
[[[[]]],[],[],[[]],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [4,1,1,1,1] => 4
[[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [3,2,1,1,1] => 5
[[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4
[[[[]]],[],[],[[[]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [5,1,1,1] => 3
[[[],[]],[],[[]],[],[]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [3,2,1,1,1] => 5
[[[],[]],[],[[]],[[]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4
[[[],[]],[],[[],[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [3,3,1,1] => 5
[[[],[]],[],[[[]]],[]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4
[[[[]]],[],[[],[]],[]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4
[[[],[]],[],[[],[],[]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [3,2,1,1,1] => 5
[[[],[]],[],[[],[[]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4
[[[],[]],[],[[[]],[]]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4
[[[],[]],[],[[[],[]]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4
[[[],[]],[],[[[[]]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [5,2,1] => 3
[[[[]]],[],[[[]],[]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [5,1,1,1] => 3
[[[[]]],[],[[[],[]]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [5,1,1,1] => 3
[[[],[]],[[]],[],[],[]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [3,2,1,1,1] => 5
[[[[]]],[[]],[],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [4,1,1,1,1] => 4
[[[],[]],[[]],[],[[]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4
[[[],[]],[[]],[[]],[]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4
[[[[]]],[[]],[[]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [5,1,1,1] => 3
[[[],[]],[[]],[[],[]]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4
[[[],[]],[[]],[[[]]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [5,2,1] => 3
[[[[]]],[[]],[[],[]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [5,1,1,1] => 3
[[[[]]],[[]],[[[]]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,1,1] => 2
[[[],[]],[[],[]],[],[]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [3,3,1,1] => 5
[[[[]]],[[],[]],[],[]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4
[[[[]]],[[[]]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [5,1,1,1] => 3
[[[],[]],[[],[]],[[]]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [4,3,1] => 4
[[[],[]],[[[]]],[[]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [5,2,1] => 3
[[[],[]],[[],[],[]],[]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [3,3,1,1] => 5
[[[],[]],[[],[[]]],[]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [4,3,1] => 4
[[[],[]],[[[]],[]],[]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [4,3,1] => 4
[[[],[]],[[[],[]]],[]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [4,3,1] => 4
[[[],[]],[[[[]]]],[]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [5,2,1] => 3
[[[[]]],[[[]],[]],[]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [5,2,1] => 3
[[[[]]],[[[],[]]],[]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [5,2,1] => 3
[[[[]]],[[[[]]]],[]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [6,1,1] => 2
[[[],[]],[[],[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [3,2,1,1,1] => 5
[[[],[]],[[],[],[[]]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4
[[[],[]],[[],[[],[]]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4
[[[],[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [5,2,1] => 3
[[[],[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4
[[[],[]],[[[]],[[]]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [5,2,1] => 3
[[[],[]],[[[],[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [4,3,1] => 4
[[[],[]],[[[[]]],[]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [5,2,1] => 3
[[[],[]],[[[],[],[]]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4
[[[],[]],[[[],[[]]]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [5,2,1] => 3
[[[],[]],[[[[[]]]]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [6,2] => 2
[[[[]]],[[],[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [4,1,1,1,1] => 4
[[[[]]],[[],[[],[]]]] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [5,1,1,1] => 3
[[[[]]],[[],[[[]]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [6,1,1] => 2
[[[[]]],[[[]],[],[]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [5,1,1,1] => 3
[[[[]]],[[[]],[[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [6,1,1] => 2
[[[[]]],[[[[]]],[]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [6,1,1] => 2
[[[[]]],[[[],[],[]]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [5,1,1,1] => 3
[[[[]]],[[[[[]]]]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [7,1] => 1
[[[],[],[]],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [2,2,2,1,1] => 6
[[[],[[]]],[],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,2,1,1,1] => 5
[[[[]],[]],[],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [3,2,1,1,1] => 5
[[[[],[]]],[],[],[],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [3,2,1,1,1] => 5
[[[[[]]]],[],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [4,1,1,1,1] => 4
[[[],[],[]],[],[],[[]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [3,2,2,1] => 5
[[[[]],[]],[],[],[[]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,1,1,1] => 3
[[[],[],[]],[],[[]],[]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [3,2,2,1] => 5
[[[],[[]]],[],[[]],[]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4
[[[[[]]]],[],[[]],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,1,1,1] => 3
[[[],[],[]],[],[[],[]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [3,2,2,1] => 5
[[[],[],[]],[],[[[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [4,2,2] => 4
[[[],[[]]],[],[[],[]]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4
[[[],[[]]],[],[[[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [5,2,1] => 3
[[[[]],[]],[],[[],[]]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4
[[[[],[]]],[],[[[]]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [5,2,1] => 3
[[[[[]]]],[],[[],[]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [5,1,1,1] => 3
[[[[[]]]],[],[[[]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [6,1,1] => 2
[[[],[],[]],[[]],[],[]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [3,2,2,1] => 5
[[[],[[]]],[[]],[],[]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4
[[[[[]]]],[[]],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,1,1,1] => 3
[[[],[],[]],[[]],[[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [4,2,2] => 4
[[[],[[]]],[[]],[[]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [5,2,1] => 3
[[[[[]]]],[[]],[[]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [6,1,1] => 2
[[[],[],[]],[[],[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 5
[[[],[],[]],[[[]]],[]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [4,2,2] => 4
[[[],[[]]],[[],[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [4,3,1] => 4
[[[[]],[]],[[],[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [4,3,1] => 4
[[[[[]]]],[[],[]],[]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [5,2,1] => 3
[[[[[]]]],[[[]]],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [6,1,1] => 2
[[[],[],[]],[[],[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [3,2,2,1] => 5
[[[],[],[]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [4,2,2] => 4
[[[],[],[]],[[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [4,2,2] => 4
[[[],[],[]],[[[],[]]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [4,2,2] => 4
[[[],[],[]],[[[[]]]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [5,2,1] => 3
[[[],[[]]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [5,2,1] => 3
[[[],[[]]],[[[],[]]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [5,2,1] => 3
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [6,2] => 2
[[[[]],[]],[[[[]]]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [6,2] => 2
[[[[],[]]],[[[[]]]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [6,2] => 2
[[[[[]]]],[[],[],[]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [5,1,1,1] => 3
[[[[[]]]],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [6,1,1] => 2
[[[[[]]]],[[[]],[]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [6,1,1] => 2
[[[[[]]]],[[[],[]]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [6,1,1] => 2
[[[[[]]]],[[[[]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [7,1] => 1
[[[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [2,2,2,2] => 6
[[[],[],[[]]],[],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [3,2,2,1] => 5
[[[],[[]],[]],[],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [3,2,2,1] => 5
[[[],[[],[]]],[],[],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [3,2,1,1,1] => 5
[[[],[[[]]]],[],[],[]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4
[[[[]],[],[]],[],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [3,2,2,1] => 5
[[[[]],[[]]],[],[],[]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4
[[[[],[]],[]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [3,3,1,1] => 5
[[[[[]]],[]],[],[],[]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4
[[[[],[],[]]],[],[],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [3,2,2,1] => 5
[[[[[[]]]]],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [5,1,1,1] => 3
[[[],[],[],[]],[],[[]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [3,2,2,1] => 5
[[[],[],[[]]],[],[[]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [4,2,2] => 4
[[[],[[]],[]],[],[[]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,2,2] => 4
[[[],[[],[]]],[],[[]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1] => 4
[[[],[[[]]]],[],[[]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [5,2,1] => 3
[[[[]],[],[]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [4,2,2] => 4
[[[[]],[[]]],[],[[]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [5,2,1] => 3
[[[[],[]],[]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [4,3,1] => 4
[[[[[]]],[]],[],[[]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [5,2,1] => 3
[[[[],[[]]]],[],[[]]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [5,2,1] => 3
[[[[[]],[]]],[],[[]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [5,2,1] => 3
[[[[[],[]]]],[],[[]]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [5,2,1] => 3
[[[[[[]]]]],[],[[]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [6,1,1] => 2
[[[],[],[],[]],[[]],[]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [3,2,2,1] => 5
[[[],[],[[]]],[[]],[]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [4,2,2] => 4
[[[],[[]],[]],[[]],[]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [4,2,2] => 4
[[[],[[],[]]],[[]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1] => 4
[[[],[[[]]]],[[]],[]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [5,2,1] => 3
[[[[]],[],[]],[[]],[]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [4,2,2] => 4
[[[[]],[[]]],[[]],[]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [5,2,1] => 3
[[[[],[]],[]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [4,3,1] => 4
[[[[[]]],[]],[[]],[]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [5,2,1] => 3
[[[[[[]]]]],[[]],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [6,1,1] => 2
[[[],[],[],[]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [3,2,2,1] => 5
[[[],[],[],[]],[[[]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4
[[[],[],[[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [4,2,2] => 4
[[[],[],[[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [5,2,1] => 3
[[[],[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [4,2,2] => 4
[[[],[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [5,2,1] => 3
[[[],[[],[]]],[[],[]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4
[[[],[[],[]]],[[[]]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [5,2,1] => 3
[[[],[[[]]]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [5,2,1] => 3
[[[],[[[]]]],[[[]]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [6,2] => 2
[[[[]],[],[]],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [4,2,2] => 4
[[[[]],[],[]],[[[]]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [5,2,1] => 3
[[[[]],[[]]],[[[]]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [6,2] => 2
[[[[],[]],[]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [4,3,1] => 4
[[[[],[]],[]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [5,3] => 3
[[[[[]]],[]],[[[]]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [6,2] => 2
[[[[],[],[]]],[[],[]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [4,2,2] => 4
[[[[],[[]]]],[[[]]]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [6,2] => 2
[[[[[],[]]]],[[],[]]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [5,2,1] => 3
[[[[[[]]]]],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [6,1,1] => 2
[[[[[[]]]]],[[[]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [7,1] => 1
[[[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [2,2,2,1,1] => 6
[[[],[],[],[[]]],[],[]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [3,2,2,1] => 5
[[[],[],[[]],[]],[],[]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [3,2,2,1] => 5
[[[],[],[[],[]]],[],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [3,2,1,1,1] => 5
[[[],[],[[[]]]],[],[]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [4,2,2] => 4
[[[],[[]],[],[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [3,2,2,1] => 5
[[[],[[]],[[]]],[],[]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [4,2,2] => 4
[[[],[[],[]],[]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [3,3,1,1] => 5
[[[],[[[]]],[]],[],[]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [4,2,2] => 4
[[[],[[[],[]]]],[],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => 4
[[[],[[[[]]]]],[],[]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,2,1] => 3
[[[[]],[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [4,2,2] => 4
[[[[]],[[[]]]],[],[]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [5,2,1] => 3
[[[[[]]],[],[]],[],[]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [4,2,2] => 4
[[[[],[[]]],[]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [4,3,1] => 4
[[[[[[]]]],[]],[],[]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [5,2,1] => 3
[[[[],[[]],[]]],[],[]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [4,2,2] => 4
[[[[],[[[]]]]],[],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [5,2,1] => 3
[[[[[]],[],[]]],[],[]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [4,2,2] => 4
[[[[[],[]],[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [4,3,1] => 4
[[[[[],[[]]]]],[],[]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [5,2,1] => 3
[[[[[[],[]]]]],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [5,2,1] => 3
[[[[[[[]]]]]],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [6,1,1] => 2
[[[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [3,2,1,1,1] => 5
[[[],[[]],[],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4
[[[],[[]],[[]]],[[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [5,2,1] => 3
[[[],[[],[]],[]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [4,3,1] => 4
[[[],[[],[],[]]],[[]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4
[[[],[[],[[]]]],[[]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [5,2,1] => 3
[[[],[[[]],[]]],[[]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [5,2,1] => 3
[[[],[[[[]]]]],[[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [6,2] => 2
[[[[]],[],[],[]],[[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4
[[[[]],[[]],[]],[[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [5,2,1] => 3
[[[[]],[[[]]]],[[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [6,2] => 2
[[[[],[]],[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [4,3,1] => 4
[[[[[]]],[],[]],[[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [5,2,1] => 3
[[[[[]]],[[]]],[[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [6,2] => 2
[[[[[]],[]],[]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [5,3] => 3
[[[[[],[]]],[]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [5,3] => 3
[[[[[[]]]],[]],[[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [6,2] => 2
[[[[],[[]],[]]],[[]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [5,2,1] => 3
[[[[],[[[]]]]],[[]]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [6,2] => 2
[[[[[]],[[]]]],[[]]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [6,2] => 2
[[[[[],[],[]]]],[[]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [5,2,1] => 3
[[[[[],[[]]]]],[[]]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [6,2] => 2
[[[[[[],[]]]]],[[]]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [6,2] => 2
[[[[[[[]]]]]],[[]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [7,1] => 1
[[[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [2,2,1,1,1,1] => 6
[[[],[],[],[],[[]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [3,2,1,1,1] => 5
[[[],[],[],[[]],[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [3,2,1,1,1] => 5
[[[],[],[],[[],[]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [3,2,1,1,1] => 5
[[[],[],[],[[[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4
[[[],[],[[]],[],[]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [3,2,1,1,1] => 5
[[[],[],[[]],[[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1] => 4
[[[],[],[[],[]],[]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [3,3,1,1] => 5
[[[],[],[[[]]],[]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,2,1,1] => 4
[[[],[],[[],[],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [3,2,1,1,1] => 5
[[[],[],[[[],[]]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [4,2,1,1] => 4
[[[],[[]],[],[],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [3,2,1,1,1] => 5
[[[],[[]],[[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1] => 4
[[[],[[]],[[[]]]],[]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [5,2,1] => 3
[[[],[[],[]],[],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 5
[[[],[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4
[[[],[[],[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [4,3,1] => 4
[[[],[[[]]],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [5,2,1] => 3
[[[],[[],[],[]],[]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [3,3,1,1] => 5
[[[],[[],[[]]],[]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [4,3,1] => 4
[[[],[[[],[]]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [4,3,1] => 4
[[[],[[],[],[],[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [3,2,1,1,1] => 5
[[[],[[],[],[[]]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [4,2,1,1] => 4
[[[],[[],[[]],[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,2,1,1] => 4
[[[],[[],[[[]]]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [5,2,1] => 3
[[[],[[[]],[],[]]],[]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => 4
[[[],[[[]],[[]]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [5,2,1] => 3
[[[],[[[],[]],[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [4,3,1] => 4
[[[],[[[[[]]]]]],[]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,2] => 2
[[[[]],[],[],[],[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [3,2,1,1,1] => 5
[[[[]],[],[],[[]]],[]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => 4
[[[[]],[],[[]],[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [4,2,1,1] => 4
[[[[]],[],[[[]]]],[]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [5,2,1] => 3
[[[[]],[[[]],[]]],[]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [5,2,1] => 3
[[[[]],[[[[]]]]],[]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [6,2] => 2
[[[[],[]],[],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [3,3,1,1] => 5
[[[[],[]],[],[[]]],[]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [4,3,1] => 4
[[[[],[]],[[]],[]],[]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [4,3,1] => 4
[[[[[]]],[[]],[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [5,2,1] => 3
[[[[],[]],[[],[]]],[]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4
[[[[],[]],[[[]]]],[]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [5,3] => 3
[[[[[]]],[[[]]]],[]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [6,2] => 2
[[[[[]],[]],[],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [4,3,1] => 4
[[[[[],[]]],[],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [4,3,1] => 4
[[[[[[]]]],[],[]],[]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [5,2,1] => 3
[[[[[]],[]],[[]]],[]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [5,3] => 3
[[[[[],[]]],[[]]],[]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [5,3] => 3
[[[[[[]]]],[[]]],[]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [6,2] => 2
[[[[],[],[],[]],[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [3,3,1,1] => 5
[[[[],[],[[]]],[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,3,1] => 4
[[[[],[[]],[]],[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [4,3,1] => 4
[[[[],[[],[]]],[]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [4,3,1] => 4
[[[[],[[[]]]],[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [5,3] => 3
[[[[[]],[[]]],[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [5,3] => 3
[[[[[],[]],[]],[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [4,4] => 4
[[[[[[]]],[]],[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [5,3] => 3
[[[[[[[]]]]],[]],[]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [6,2] => 2
[[[[],[],[],[],[]]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [3,2,1,1,1] => 5
[[[[],[],[],[[]]]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1] => 4
[[[[],[],[[],[]]]],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [4,2,1,1] => 4
[[[[],[],[[[]]]]],[]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [5,2,1] => 3
[[[[],[[],[]],[]]],[]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [4,3,1] => 4
[[[[],[[],[],[]]]],[]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,2,1,1] => 4
[[[[],[[[[]]]]]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [6,2] => 2
[[[[[]],[[]],[]]],[]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [5,2,1] => 3
[[[[[]],[[],[]]]],[]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [5,2,1] => 3
[[[[[]],[[[]]]]],[]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [6,2] => 2
[[[[[[]]],[[]]]],[]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [6,2] => 2
[[[[[],[],[]],[]]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [4,3,1] => 4
[[[[[],[[]]],[]]],[]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [5,3] => 3
[[[[[[[]]]],[]]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [6,2] => 2
[[[[[],[[]],[]]]],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [5,2,1] => 3
[[[[[],[[],[]]]]],[]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,2,1] => 3
[[[[[],[[[]]]]]],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [6,2] => 2
[[[[[[],[]],[]]]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [5,3] => 3
[[[[[[[]]],[]]]],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [6,2] => 2
[[[[[[],[[]]]]]],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [6,2] => 2
[[[[[[[],[]]]]]],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [6,2] => 2
[[[[[[[[]]]]]]],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [7,1] => 1
[[[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1] => 6
[[[],[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [3,1,1,1,1,1] => 5
[[[],[],[],[],[[]],[]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [3,1,1,1,1,1] => 5
[[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [3,1,1,1,1,1] => 5
[[[],[],[],[],[[[]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [4,1,1,1,1] => 4
[[[],[],[],[[]],[],[]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [3,1,1,1,1,1] => 5
[[[],[],[],[[]],[[]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [4,1,1,1,1] => 4
[[[],[],[],[[],[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [3,2,1,1,1] => 5
[[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [3,1,1,1,1,1] => 5
[[[],[],[],[[[]],[]]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [4,1,1,1,1] => 4
[[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [4,1,1,1,1] => 4
[[[],[],[],[[[[]]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [5,1,1,1] => 3
[[[],[],[[]],[],[],[]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [3,1,1,1,1,1] => 5
[[[],[],[[]],[[],[]]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [4,1,1,1,1] => 4
[[[],[],[[],[]],[],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [3,2,2,1] => 5
[[[],[],[[[]]],[],[]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [4,1,1,1,1] => 4
[[[],[],[[],[]],[[]]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4
[[[],[],[[],[],[]],[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [3,2,1,1,1] => 5
[[[],[],[[],[[]]],[]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4
[[[],[],[[[]],[]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4
[[[],[],[[],[[[]]]]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [5,1,1,1] => 3
[[[],[],[[[]],[],[]]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [4,1,1,1,1] => 4
[[[],[],[[[],[]],[]]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,2,1,1] => 4
[[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [4,1,1,1,1] => 4
[[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [5,1,1,1] => 3
[[[],[],[[[[[]]]]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [6,1,1] => 2
[[[],[[]],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [3,1,1,1,1,1] => 5
[[[],[[]],[],[],[[]]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [4,1,1,1,1] => 4
[[[],[[]],[],[[]],[]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [4,1,1,1,1] => 4
[[[],[[]],[],[[],[]]]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [4,1,1,1,1] => 4
[[[],[[]],[[]],[[]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [5,1,1,1] => 3
[[[],[[]],[[],[]],[]]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4
[[[],[[]],[[[]]],[]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [5,1,1,1] => 3
[[[],[[]],[[],[[]]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [5,1,1,1] => 3
[[[],[[]],[[[[]]]]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [6,1,1] => 2
[[[],[[],[]],[],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [3,2,2,1] => 5
[[[],[[],[]],[],[[]]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [4,2,2] => 4
[[[],[[],[]],[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [4,2,2] => 4
[[[],[[[]]],[[]],[]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [5,1,1,1] => 3
[[[],[[],[]],[[],[]]]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [4,2,2] => 4
[[[],[[],[]],[[[]]]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [5,2,1] => 3
[[[],[[[]]],[[],[]]]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [5,1,1,1] => 3
[[[],[[],[],[]],[],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [3,2,2,1] => 5
[[[],[[],[[]]],[],[]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [4,2,2] => 4
[[[],[[[]],[]],[],[]]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [4,2,2] => 4
[[[],[[[],[]]],[],[]]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [4,2,2] => 4
[[[],[[[[]]]],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [5,1,1,1] => 3
[[[],[[],[[]]],[[]]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [5,2,1] => 3
[[[],[[[],[]]],[[]]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [5,2,1] => 3
[[[],[[[[]]]],[[]]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [6,1,1] => 2
[[[],[[],[],[],[]],[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [3,2,1,1,1] => 5
[[[],[[],[],[[]]],[]]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4
[[[],[[[]],[],[]],[]]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4
[[[],[[[]],[[]]],[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [5,2,1] => 3
[[[],[[[],[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [4,3,1] => 4
[[[],[[[],[],[]]],[]]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4
[[[],[[[],[[]]]],[]]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [5,2,1] => 3
[[[],[[[[],[]]]],[]]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [5,2,1] => 3
[[[],[[[[[]]]]],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [6,1,1] => 2
[[[],[[],[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [3,1,1,1,1,1] => 5
[[[],[[],[],[],[[]]]]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [4,1,1,1,1] => 4
[[[],[[],[],[[[]]]]]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [5,1,1,1] => 3
[[[],[[],[[]],[[]]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [5,1,1,1] => 3
[[[],[[],[[],[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4
[[[],[[],[[[]]],[]]]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [5,1,1,1] => 3
[[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [5,1,1,1] => 3
[[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [5,1,1,1] => 3
[[[],[[],[[[[]]]]]]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [6,1,1] => 2
[[[],[[[]],[],[],[]]]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [4,1,1,1,1] => 4
[[[],[[[]],[],[[]]]]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [5,1,1,1] => 3
[[[],[[[]],[[]],[]]]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [5,1,1,1] => 3
[[[],[[[]],[[[]]]]]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [6,1,1] => 2
[[[],[[[[]]],[],[]]]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [5,1,1,1] => 3
[[[],[[[[]]],[[]]]]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [6,1,1] => 2
[[[],[[[[[]]]],[]]]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [6,1,1] => 2
[[[],[[[],[[]],[]]]]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [5,1,1,1] => 3
[[[],[[[[]],[[]]]]]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [6,1,1] => 2
[[[],[[[[],[]],[]]]]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [5,2,1] => 3
[[[],[[[[[]]],[]]]]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [6,1,1] => 2
[[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [6,1,1] => 2
[[[],[[[[[[]]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [7,1] => 1
[[[[]],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [3,1,1,1,1,1] => 5
[[[[]],[],[],[],[[]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [4,1,1,1,1] => 4
[[[[]],[],[],[[[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [5,1,1,1] => 3
[[[[]],[],[[]],[],[]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [4,1,1,1,1] => 4
[[[[]],[],[[[]]],[]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [5,1,1,1] => 3
[[[[]],[],[[],[],[]]]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [4,1,1,1,1] => 4
[[[[]],[],[[],[[]]]]] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [5,1,1,1] => 3
[[[[]],[],[[[[]]]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [6,1,1] => 2
[[[[]],[[]],[],[],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [4,1,1,1,1] => 4
[[[[]],[[]],[[],[]]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [5,1,1,1] => 3
[[[[]],[[]],[[[]]]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [6,1,1] => 2
[[[[]],[[[]]],[],[]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [5,1,1,1] => 3
[[[[]],[[],[]],[[]]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [5,2,1] => 3
[[[[]],[[],[],[]],[]]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4
[[[[]],[[[[]]]],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [6,1,1] => 2
[[[[]],[[],[],[[]]]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [5,1,1,1] => 3
[[[[]],[[],[[]],[]]]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [5,1,1,1] => 3
[[[[]],[[],[[[]]]]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [6,1,1] => 2
[[[[]],[[[]],[[]]]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [6,1,1] => 2
[[[[]],[[[],[]],[]]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [5,2,1] => 3
[[[[]],[[[[]]],[]]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [6,1,1] => 2
[[[[]],[[[],[],[]]]]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [5,1,1,1] => 3
[[[[]],[[[[[]]]]]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [7,1] => 1
[[[[],[]],[],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [3,2,1,1,1] => 5
[[[[[]]],[],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [4,1,1,1,1] => 4
[[[[[]]],[],[],[[]]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [5,1,1,1] => 3
[[[[],[]],[],[[]],[]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4
[[[[[]]],[],[[]],[]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [5,1,1,1] => 3
[[[[],[]],[],[[],[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [4,3,1] => 4
[[[[],[]],[],[[[]]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [5,2,1] => 3
[[[[[]]],[],[[],[]]]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [5,1,1,1] => 3
[[[[[]]],[],[[[]]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [6,1,1] => 2
[[[[],[]],[[]],[],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4
[[[[[]]],[[]],[],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [5,1,1,1] => 3
[[[[],[]],[[]],[[]]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [5,2,1] => 3
[[[[[]]],[[]],[[]]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [6,1,1] => 2
[[[[],[]],[[],[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [4,3,1] => 4
[[[[],[]],[[[]]],[]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [5,2,1] => 3
[[[[[]]],[[[]]],[]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [6,1,1] => 2
[[[[],[]],[[],[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4
[[[[],[]],[[],[[]]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [5,2,1] => 3
[[[[],[]],[[[]],[]]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [5,2,1] => 3
[[[[],[]],[[[[]]]]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [6,2] => 2
[[[[[]]],[[],[[]]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [6,1,1] => 2
[[[[[]]],[[[[]]]]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [7,1] => 1
[[[[],[],[]],[],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [3,2,2,1] => 5
[[[[],[[]]],[],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4
[[[[[]],[]],[],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4
[[[[[],[]]],[],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4
[[[[[[]]]],[],[],[]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [5,1,1,1] => 3
[[[[],[[]]],[],[[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [5,2,1] => 3
[[[[[]],[]],[],[[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [5,2,1] => 3
[[[[[[]]]],[],[[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [6,1,1] => 2
[[[[],[],[]],[[]],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [4,2,2] => 4
[[[[],[[]]],[[]],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [5,2,1] => 3
[[[[[]],[]],[[]],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [5,2,1] => 3
[[[[[],[]]],[[]],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [5,2,1] => 3
[[[[[[]]]],[[]],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [6,1,1] => 2
[[[[],[],[]],[[],[]]]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [4,2,2] => 4
[[[[],[],[]],[[[]]]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [5,2,1] => 3
[[[[],[[]]],[[],[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [5,2,1] => 3
[[[[],[[]]],[[[]]]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [6,2] => 2
[[[[[]],[]],[[[]]]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [6,2] => 2
[[[[[],[]]],[[],[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [5,2,1] => 3
[[[[[],[]]],[[[]]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [6,2] => 2
[[[[[[]]]],[[],[]]]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [6,1,1] => 2
[[[[[[]]]],[[[]]]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [7,1] => 1
[[[[],[],[],[]],[],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [3,2,2,1] => 5
[[[[],[],[[]]],[],[]]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [4,2,2] => 4
[[[[],[[],[]]],[],[]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [4,2,2] => 4
[[[[],[[[]]]],[],[]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [5,2,1] => 3
[[[[[]],[[]]],[],[]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [5,2,1] => 3
[[[[[],[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [4,3,1] => 4
[[[[[[]]],[]],[],[]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [5,2,1] => 3
[[[[[],[],[]]],[],[]]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [4,2,2] => 4
[[[[[[]],[]]],[],[]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [5,2,1] => 3
[[[[[[],[]]]],[],[]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [5,2,1] => 3
[[[[[[[]]]]],[],[]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [6,1,1] => 2
[[[[],[],[],[]],[[]]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4
[[[[],[],[[]]],[[]]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [5,2,1] => 3
[[[[],[[[]]]],[[]]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [6,2] => 2
[[[[[]],[],[]],[[]]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [5,2,1] => 3
[[[[[]],[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [6,2] => 2
[[[[[],[]],[]],[[]]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [5,3] => 3
[[[[[[]]],[]],[[]]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [6,2] => 2
[[[[[],[],[]]],[[]]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [5,2,1] => 3
[[[[[],[[]]]],[[]]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [6,2] => 2
[[[[[[]],[]]],[[]]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [6,2] => 2
[[[[[[],[]]]],[[]]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [6,2] => 2
[[[[[[[]]]]],[[]]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [7,1] => 1
[[[[],[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [3,2,1,1,1] => 5
[[[[],[],[[]],[]],[]]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4
[[[[],[],[[],[]]],[]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4
[[[[],[[],[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [4,3,1] => 4
[[[[],[[],[],[]]],[]]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4
[[[[],[[],[[]]]],[]]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [5,2,1] => 3
[[[[],[[[]],[]]],[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [5,2,1] => 3
[[[[],[[[[]]]]],[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [6,2] => 2
[[[[[]],[[],[]]],[]]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [5,2,1] => 3
[[[[[]],[[[]]]],[]]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [6,2] => 2
[[[[[],[]],[],[]],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [4,3,1] => 4
[[[[[[]]],[],[]],[]]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [5,2,1] => 3
[[[[[],[]],[[]]],[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [5,3] => 3
[[[[[[]]],[[]]],[]]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [6,2] => 2
[[[[[],[[]]],[]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [5,3] => 3
[[[[[[]],[]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [5,3] => 3
[[[[[[],[]]],[]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [5,3] => 3
[[[[[[[]]]],[]],[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [6,2] => 2
[[[[[],[],[[]]]],[]]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [5,2,1] => 3
[[[[[[]],[],[]]],[]]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [5,2,1] => 3
[[[[[[[]]],[]]],[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [6,2] => 2
[[[[[[],[],[]]]],[]]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [5,2,1] => 3
[[[[[[],[[]]]]],[]]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [6,2] => 2
[[[[[[[]],[]]]],[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [6,2] => 2
[[[[[[[],[]]]]],[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [6,2] => 2
[[[[[[[[]]]]]],[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [7,1] => 1
[[[[],[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [3,1,1,1,1,1] => 5
[[[[],[],[],[],[[]]]]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [4,1,1,1,1] => 4
[[[[],[],[],[[]],[]]]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [4,1,1,1,1] => 4
[[[[],[],[],[[[]]]]]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [5,1,1,1] => 3
[[[[],[],[[]],[[]]]]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [5,1,1,1] => 3
[[[[],[],[[],[]],[]]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4
[[[[],[],[[[]]],[]]]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [5,1,1,1] => 3
[[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [4,1,1,1,1] => 4
[[[[],[[]],[[]],[]]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [5,1,1,1] => 3
[[[[],[[]],[[],[]]]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [5,1,1,1] => 3
[[[[],[[[]]],[],[]]]] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [5,1,1,1] => 3
[[[[],[[[]]],[[]]]]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [6,1,1] => 2
[[[[],[[],[[]]],[]]]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [5,2,1] => 3
[[[[],[[],[[[]]]]]]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [6,1,1] => 2
[[[[],[[[]],[[]]]]]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [6,1,1] => 2
[[[[],[[[],[]],[]]]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [5,2,1] => 3
[[[[],[[[[[]]]]]]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [7,1] => 1
[[[[[]],[],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [4,1,1,1,1] => 4
[[[[[]],[],[],[[]]]]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [5,1,1,1] => 3
[[[[[]],[],[[],[]]]]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [5,1,1,1] => 3
[[[[[]],[],[[[]]]]]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [6,1,1] => 2
[[[[[]],[[]],[[]]]]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [6,1,1] => 2
[[[[[]],[[],[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [5,2,1] => 3
[[[[[]],[[[]]],[]]]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [6,1,1] => 2
[[[[[]],[[],[[]]]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [6,1,1] => 2
[[[[[]],[[[[]]]]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [7,1] => 1
[[[[[],[]],[],[],[]]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4
[[[[[[]]],[],[],[]]]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [5,1,1,1] => 3
[[[[[],[]],[],[[]]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [5,2,1] => 3
[[[[[[]]],[],[[]]]]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [6,1,1] => 2
[[[[[[]]],[[]],[]]]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [6,1,1] => 2
[[[[[],[]],[[],[]]]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [5,2,1] => 3
[[[[[],[]],[[[]]]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [6,2] => 2
[[[[[[]]],[[],[]]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [6,1,1] => 2
[[[[[[]]],[[[]]]]]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [7,1] => 1
[[[[[],[],[]],[],[]]]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [4,2,2] => 4
[[[[[[],[]]],[],[]]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [5,2,1] => 3
[[[[[[[]]]],[],[]]]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [6,1,1] => 2
[[[[[],[],[]],[[]]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [5,2,1] => 3
[[[[[],[[]]],[[]]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [6,2] => 2
[[[[[[]],[]],[[]]]]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [6,2] => 2
[[[[[[[]]]],[[]]]]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [7,1] => 1
[[[[[],[],[],[]],[]]]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4
[[[[[],[],[[]]],[]]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [5,2,1] => 3
[[[[[],[[[]]]],[]]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [6,2] => 2
[[[[[[]],[[]]],[]]]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [6,2] => 2
[[[[[[],[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [5,3] => 3
[[[[[[[]]],[]],[]]]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [6,2] => 2
[[[[[[],[],[]]],[]]]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [5,2,1] => 3
[[[[[[],[[]]]],[]]]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [6,2] => 2
[[[[[[[]],[]]],[]]]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [6,2] => 2
[[[[[[[],[]]]],[]]]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [6,2] => 2
[[[[[[[[]]]]],[]]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [7,1] => 1
[[[[[],[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [4,1,1,1,1] => 4
[[[[[],[],[],[[]]]]]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [5,1,1,1] => 3
[[[[[],[],[[]],[]]]]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [5,1,1,1] => 3
[[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,1,1,1] => 3
[[[[[],[],[[[]]]]]]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [6,1,1] => 2
[[[[[],[[]],[],[]]]]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [5,1,1,1] => 3
[[[[[],[[]],[[]]]]]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [6,1,1] => 2
[[[[[],[[],[]],[]]]]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [5,2,1] => 3
[[[[[],[[[]]],[]]]]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [6,1,1] => 2
[[[[[],[[],[],[]]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,1,1,1] => 3
[[[[[],[[],[[]]]]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [6,1,1] => 2
[[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [6,1,1] => 2
[[[[[],[[[],[]]]]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [6,1,1] => 2
[[[[[],[[[[]]]]]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [7,1] => 1
[[[[[[]],[],[],[]]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [5,1,1,1] => 3
[[[[[[]],[[[]]]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [7,1] => 1
[[[[[[],[]],[],[]]]]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [5,2,1] => 3
[[[[[[[]]],[],[]]]]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [6,1,1] => 2
[[[[[[],[]],[[]]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [6,2] => 2
[[[[[[[]]],[[]]]]]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [7,1] => 1
[[[[[[[]],[]],[]]]]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [6,2] => 2
[[[[[[[],[]]],[]]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [6,2] => 2
[[[[[[[[]]]],[]]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [7,1] => 1
[[[[[[],[],[],[]]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [5,1,1,1] => 3
[[[[[[],[],[[]]]]]]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [6,1,1] => 2
[[[[[[],[[],[]]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [6,1,1] => 2
[[[[[[],[[[]]]]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [7,1] => 1
[[[[[[[]],[],[]]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [6,1,1] => 2
[[[[[[[],[]],[]]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [6,2] => 2
[[[[[[[[]]],[]]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [7,1] => 1
[[[[[[[],[],[]]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [6,1,1] => 2
[[[[[[[],[[]]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [7,1] => 1
[[[[[[[[]],[]]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [7,1] => 1
[[[[[[[[],[]]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [7,1] => 1
[[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8] => 0
[[],[[[[[],[]],[]],[]],[]]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1] => [5,4,1] => 5
[[[[],[]],[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [5,3,2] => 5
[[[[[],[]],[]],[]],[[],[]]] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [5,4,1] => 5
[[[],[[[[],[]],[]],[]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,1,10] => [5,4,1] => 5
[[[[[[],[]],[]],[]],[]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [5,5] => 5
[[],[[[[[[],[]],[]],[]],[]],[]]] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,12,11,1] => [6,5,1] => 6
[[[[[],[]],[]],[[],[]]],[[],[]]] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,7,10,12,11,9] => [6,4,2] => 6
[[[[[],[]],[[],[]]],[]],[[],[]]] => [[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [6,4,2] => 6
[[[[[[],[]],[]],[]],[]],[[],[]]] => [[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9,12,11] => [6,5,1] => 6
[[[],[[[[[],[]],[]],[]],[]]],[]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,11,10,1,12] => [6,5,1] => 6
[[[[[[[],[]],[]],[]],[]],[]],[]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [6,6] => 6
[[[[[[[[[]]]]]]]],[]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [8,1] => 1
[[],[[[[[[[[]]]]]]]]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [8,1] => 1
[[[[[[[[[[]]]]]]]]],[]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [9,1] => 1
[[[[[[[[],[]]]]]]],[]] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [7,2] => 2
[[],[[[[[[[],[]]]]]]]] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [7,1,1] => 2
[[],[[[[[[[[[]]]]]]]]]] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [9,1] => 1
[[[[[[[[[[[]]]]]]]]]],[]] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [10,1] => 1
[[[[[[[],[[]]]]]]],[]] => [[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [7,2] => 2
[[],[[[[[[[[[[]]]]]]]]]]] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [10,1] => 1
[[],[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1] => 8
[[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1] => 7
[[],[[],[],[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1] => 7
[[[],[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1] => 7
[[],[],[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1] => 9
[[],[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => 8
[[],[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [3,1,1,1,1,1,1] => 6
[[],[[[]],[],[],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [3,1,1,1,1,1,1] => 6
[[[[]],[],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1] => 6
[[[],[],[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1] => 8
[[[]],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [2,1,1,1,1,1,1,1] => 7
[[[],[]],[],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1] => 7
[[[],[],[]],[],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [2,2,2,1,1,1] => 7
[[[],[],[],[]],[],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [2,2,2,2,1] => 7
[[[],[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [2,2,2,2,1] => 7
[[[],[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [2,2,2,1,1,1] => 7
[[[],[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [2,2,1,1,1,1,1] => 7
[[[]],[],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,1,1] => 8
[[[[]]],[],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [3,1,1,1,1,1,1] => 6
[[[],[]],[],[],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1,1] => 8
[[[],[[]]],[],[],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [3,2,1,1,1,1] => 6
[[[],[],[]],[],[],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [2,2,2,1,1,1,1] => 8
[[[],[],[],[]],[],[],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [2,2,2,2,1,1] => 8
[[[],[],[],[],[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [2,2,2,2,2] => 8
[[[],[],[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [2,2,2,2,1,1] => 8
[[[],[],[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [2,2,2,1,1,1,1] => 8
[[[],[],[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [2,2,1,1,1,1,1,1] => 8
[[[[],[],[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [3,1,1,1,1,1,1] => 6
[[[[],[],[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [3,2,1,1,1,1] => 6
[[[],[],[],[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1,1] => 9
[[[],[[[[[[[]]]]]]]]] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [8,1] => 1
[[[[[[[[[]]]]]]],[]]] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [8,1] => 1
[[[],[[[[[[[[]]]]]]]]]] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [9,1] => 1
[[[]],[[[[[[]]]]]],[]] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [7,1,1] => 2
[[[[],[[[[[[]]]]]]]]] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [8,1] => 1
[[[[[[[[[]]]]]],[]]]] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [8,1] => 1
[[],[[[[[[]]]]]],[[]]] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [7,1,1] => 2
[[[[[[[[[[]]]]]]]],[]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [9,1] => 1
[[[[[[[[[[]]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [9] => 0
[[],[[[],[],[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [3,1,1,1,1,1,1] => 6
[[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [10] => 0
[[],[],[[[[[[[]]]]]]]] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [7,1,1] => 2
[[[]],[],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [3,1,1,1,1,1,1] => 6
[[[]],[],[],[],[],[[]],[]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [3,1,1,1,1,1,1] => 6
[[[]],[],[],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [3,1,1,1,1,1,1,1] => 7
[[[]],[],[],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [2,1,1,1,1,1,1,1,1,1] => 9
[[[]],[[[[[[[]]]]]]]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1] => 1
[[[[]]],[[[[[[]]]]]]] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [8,1] => 1
[[[[[[[[]]]]]]],[[]]] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [8,1] => 1
[[[]],[[[[[[[[]]]]]]]]] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1] => 1
[[[],[]],[[[[[[]]]]]]] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [7,2] => 2
[[[[[[[],[]]]]]],[[]]] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [7,2] => 2
[[[[[[[[[]]]]]]]],[[]]] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [9,1] => 1
[[[[[[[[[],[]]]]]]]]] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [8,1] => 1
[[[[[[[[],[],[]]]]]]]] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [7,1,1] => 2
[[[[[[[[[[],[]]]]]]]]]] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [9,1] => 1
[[[[[[[[],[[]]]]]]]]] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [8,1] => 1
[[[],[[],[],[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [3,1,1,1,1,1,1] => 6
[[[[]],[],[],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1,1] => 7
[[[],[],[],[],[]],[[[]]]] => [[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [4,2,1,1,1] => 5
[[[],[],[],[]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [5,2,1,1] => 4
[[[[[[[[[]]]]],[]]]]] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [8,1] => 1
[[[[[[[[[]]]],[]]]]]] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [8,1] => 1
[[[[[[[[[]]],[]]]]]]] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [8,1] => 1
[[[[[[[[[]],[]]]]]]]] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [8,1] => 1
[[[[[[[[]]]]]]],[],[]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [7,1,1] => 2
[[[[[[[[[[]]]]]]],[]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [9,1] => 1
[[[[[[[[[[]]]]]],[]]]]] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [9,1] => 1
[[[[[[[[[[]]]]],[]]]]]] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [9,1] => 1
[[[[[[[[[[]]]],[]]]]]]] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [9,1] => 1
[[[[[[[[[[]]],[]]]]]]]] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [9,1] => 1
[[[[[[[[[[]],[]]]]]]]]] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [9,1] => 1
[[[[],[]]],[],[],[],[],[]] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [3,2,1,1,1,1] => 6
[[[],[[[[[[]]]]]]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [7,2] => 2
[[[[[[[],[[[]]]]]]]]] => [[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9] => [8,1] => 1
[[[],[[[[[[]]]]]],[]]] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [7,1,1] => 2
[[],[[[[[[[]]]]]]],[]] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [7,1,1] => 2
[[],[],[],[[]],[],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [2,1,1,1,1,1,1,1] => 7
[[],[],[],[],[],[[]],[],[],[]] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => 8
[[],[],[[]],[],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [2,1,1,1,1,1,1,1] => 7
[[[[[[[[],[]]]]]],[]]] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [7,2] => 2
[[[[[[[[[[[]]]]]]]]],[]]] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [10,1] => 1
[[[[[[[]]]]]],[],[],[]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [6,1,1,1] => 3
[[[[[[]]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,1,1,1,1] => 4
[[[[[]]]],[],[],[],[],[]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [4,1,1,1,1,1] => 5
[[[[[[[[[]]]]]]]],[],[]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [8,1,1] => 2
[[[[[[[[]]]]]],[]],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [7,2] => 2
[[[[[[[[]]]]]]],[],[],[]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [7,1,1,1] => 3
[[[[[[[]]]]]],[],[],[],[]] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [6,1,1,1,1] => 4
[[[[[[]]]]],[],[],[],[],[]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [5,1,1,1,1,1] => 5
[[[[[]]]],[],[],[],[],[],[]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [4,1,1,1,1,1,1] => 6
[[[[]]],[],[],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [3,1,1,1,1,1,1,1] => 7
[[],[[[[[[[[]]]]]]]],[]] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [8,1,1] => 2
[[[],[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [3,2,1,1,1,1] => 6
[[],[[[]]],[],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [3,1,1,1,1,1,1] => 6
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Generating function
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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
$F_{2} = 1$
$F_{3} = 1 + q$
$F_{4} = 1 + 3\ q + q^{2}$
$F_{5} = 1 + 6\ q + 6\ q^{2} + q^{3}$
$F_{6} = 1 + 10\ q + 20\ q^{2} + 10\ q^{3} + q^{4}$
$F_{7} = 1 + 15\ q + 50\ q^{2} + 50\ q^{3} + 15\ q^{4} + q^{5}$
$F_{8} = 1 + 21\ q + 105\ q^{2} + 175\ q^{3} + 105\ q^{4} + 21\ q^{5} + q^{6}$
Description
The size of a partition minus its first part.
This is the number of boxes in its diagram that are not in the first row.
This is the number of boxes in its diagram that are not in the first row.
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
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 the shape of its corresponding insertion and 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 the shape of its corresponding insertion and recording tableau.
Map
Zeilberger's Strahler bijection
Description
Zeilberger's Strahler bijection between ordered and binary trees.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
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