Identifier
Mp00049:
Ordered trees
—to binary tree: left brother = left child⟶
Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00204: Permutations —LLPS⟶ Integer partitions
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00204: Permutations —LLPS⟶ Integer partitions
Images
[[]] => [.,.] => [1] => [1]
[[],[]] => [[.,.],.] => [1,2] => [1,1]
[[[]]] => [.,[.,.]] => [2,1] => [2]
[[],[],[]] => [[[.,.],.],.] => [1,2,3] => [1,1,1]
[[],[[]]] => [[.,.],[.,.]] => [1,3,2] => [2,1]
[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => [2,1]
[[[],[]]] => [.,[[.,.],.]] => [2,3,1] => [2,1]
[[[[]]]] => [.,[.,[.,.]]] => [3,2,1] => [3]
[[],[],[],[]] => [[[[.,.],.],.],.] => [1,2,3,4] => [1,1,1,1]
[[],[],[[]]] => [[[.,.],.],[.,.]] => [1,2,4,3] => [2,1,1]
[[],[[]],[]] => [[[.,.],[.,.]],.] => [1,3,2,4] => [2,1,1]
[[],[[],[]]] => [[.,.],[[.,.],.]] => [1,3,4,2] => [2,1,1]
[[],[[[]]]] => [[.,.],[.,[.,.]]] => [1,4,3,2] => [3,1]
[[[]],[],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,1]
[[[]],[[]]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => [2,2]
[[[],[]],[]] => [[.,[[.,.],.]],.] => [2,3,1,4] => [2,1,1]
[[[[]]],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => [3,1]
[[[],[],[]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => [2,1,1]
[[[],[[]]]] => [.,[[.,.],[.,.]]] => [2,4,3,1] => [3,1]
[[[[]],[]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => [3,1]
[[[[],[]]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => [3,1]
[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => [4]
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,1,1,1,1]
[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,1,1,1]
[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,1,1,1]
[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,1,1,1]
[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,1,1]
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,1,1,1]
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,2,1]
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,1,1,1]
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [3,1,1]
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,1,1,1]
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,1,1]
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,1,1]
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,1,1]
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [4,1]
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,1,1]
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,2,1]
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,2,1]
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,2,1]
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [3,2]
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,1,1,1]
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,1,1]
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [2,2,1]
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,2]
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,1,1,1]
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,1,1]
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,1,1]
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,1,1]
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,1]
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,1,1,1]
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [3,1,1]
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [3,1,1]
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [3,1,1]
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [4,1]
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,1,1]
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [3,2]
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,1,1]
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,1]
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,1,1]
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [4,1]
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,1]
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,1]
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5]
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,1,1,1,1,1]
[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1]
[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,1,1,1,1]
[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1]
[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1]
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,1,1,1,1]
[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1]
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,1,1,1,1]
[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,1,1,1]
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,1,1,1,1]
[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1]
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,1,1,1]
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,1,1,1]
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,1,1]
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,1,1,1,1]
[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1]
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,2,1,1]
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,2,1,1]
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [3,2,1]
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,1,1,1,1]
[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [3,1,1,1]
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [2,2,1,1]
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [3,2,1]
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,1,1,1,1]
[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [3,1,1,1]
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,1,1,1]
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [3,1,1,1]
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [4,1,1]
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,1,1,1,1]
[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [3,1,1,1]
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [3,1,1,1]
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [3,1,1,1]
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [4,1,1]
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [3,1,1,1]
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [3,2,1]
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [3,1,1,1]
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [4,1,1]
>>> Load all 1637 entries. <<<
[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,1,1,1]
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [4,1,1]
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [4,1,1]
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,1,1]
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [5,1]
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,1,1,1]
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,2,1,1]
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,2,1,1]
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,2,1,1]
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [3,2,1]
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,2,1,1]
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,2,2]
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,2,1,1]
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [3,2,1]
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,2,1,1]
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,2,1]
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,2,1]
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,2,1]
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [4,2]
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,1,1,1,1]
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,1,1,1]
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [2,2,1,1]
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,1]
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [2,2,1,1]
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,1]
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [2,2,1,1]
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1]
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1]
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,3]
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,1,1,1,1]
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,1,1,1]
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,1,1,1]
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,1,1,1]
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,1,1]
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [2,2,1,1]
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,2,1]
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,1]
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [3,2,1]
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,2]
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,1,1,1,1]
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [3,1,1,1]
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [3,1,1,1]
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [3,1,1,1]
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [4,1,1]
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,1,1,1]
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,2,1]
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,1,1,1]
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,1,1]
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,1,1,1]
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [4,1,1]
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,1,1]
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,1,1]
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,1]
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,1,1,1,1]
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [3,1,1,1]
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [3,1,1,1]
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [3,1,1,1]
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [4,1,1]
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [3,1,1,1]
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [3,2,1]
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [3,1,1,1]
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [4,1,1]
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [3,1,1,1]
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [4,1,1]
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [4,1,1]
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [4,1,1]
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [5,1]
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,1,1,1]
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [3,2,1]
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [3,2,1]
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [3,2,1]
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [4,2]
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,1,1,1]
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,1,1]
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [3,2,1]
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [4,2]
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,1,1,1]
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [4,1,1]
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,1,1]
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,1,1]
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,1]
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,1,1,1]
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [4,1,1]
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [4,1,1]
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [4,1,1]
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [5,1]
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,1,1]
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [4,2]
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,1,1]
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,1]
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,1,1]
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [5,1]
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,1]
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,1]
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6]
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,1,1,1,1,1,1]
[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1]
[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1]
[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1]
[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1]
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1]
[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1]
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1]
[[],[],[],[[[]]],[]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1]
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1]
[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1]
[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1]
[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1]
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1]
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1]
[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1]
[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1]
[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1]
[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1]
[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1]
[[],[],[[[]]],[],[]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1]
[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1]
[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1]
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1]
[[],[],[[],[[]]],[]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1]
[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1]
[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1]
[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1]
[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1]
[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1]
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1]
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1]
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1]
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1]
[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1]
[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1]
[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1]
[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1]
[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1]
[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1]
[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1]
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1]
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,1,1,1,1,1]
[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1]
[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1]
[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1]
[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1]
[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1]
[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1]
[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1]
[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1]
[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1]
[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1]
[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1]
[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1]
[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1]
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,1,1,1,1,1]
[[],[[[]]],[],[],[]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,1,1,1,1]
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1]
[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1]
[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1]
[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1]
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1]
[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1]
[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1]
[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1]
[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,1,1,1,1,1]
[[],[[],[[]]],[],[]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1]
[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1]
[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,1,1,1,1]
[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,1,1]
[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1]
[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1]
[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1]
[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1]
[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1]
[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1]
[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1]
[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1]
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1]
[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1]
[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,1,1,1]
[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1]
[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,1,1,1,1]
[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1]
[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,1,1,1,1]
[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1]
[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1]
[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1]
[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,1]
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1]
[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1]
[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1]
[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1]
[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1]
[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1]
[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1]
[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1]
[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1]
[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1]
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1]
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1]
[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1]
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1]
[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1]
[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1]
[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1]
[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1]
[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1]
[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1]
[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1]
[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1]
[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1]
[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1]
[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1]
[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1]
[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1]
[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1]
[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1]
[[],[[[],[],[[]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1]
[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1]
[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1]
[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1]
[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1]
[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1]
[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1]
[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1]
[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1]
[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1]
[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1]
[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1]
[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1]
[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,1,1,1,1]
[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1]
[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1]
[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1]
[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1]
[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1]
[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1]
[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1]
[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1]
[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1]
[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1]
[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1]
[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1]
[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1]
[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,2,1,1,1]
[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1]
[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1]
[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1]
[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2]
[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1]
[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1]
[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1]
[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2]
[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1]
[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1]
[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1]
[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1]
[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1]
[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1]
[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1]
[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1]
[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1]
[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1]
[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1]
[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2]
[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1]
[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1]
[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1]
[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1]
[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1]
[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1]
[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2]
[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,1,1,1,1,1]
[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,1,1,1,1]
[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1]
[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1]
[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,2,1,1,1]
[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,1]
[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1]
[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1]
[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1]
[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1]
[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,2,1,1,1]
[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,1]
[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1]
[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2]
[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1]
[[[],[]],[[[]]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1]
[[[[]]],[[],[]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1]
[[[[]]],[[[]]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1]
[[[],[]],[[],[],[]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1]
[[[],[]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1]
[[[],[]],[[[]],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1]
[[[],[]],[[[],[]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1]
[[[],[]],[[[[]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1]
[[[[]]],[[],[],[]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1]
[[[[]]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1]
[[[[]]],[[[]],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1]
[[[[]]],[[[],[]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1]
[[[[]]],[[[[]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3]
[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,1,1,1,1,1]
[[[],[[]]],[],[],[]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,1,1,1,1]
[[[[]],[]],[],[],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,1,1,1,1]
[[[[],[]]],[],[],[]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,1,1,1,1]
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,1,1,1]
[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1]
[[[],[[]]],[],[[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1]
[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1]
[[[[],[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1]
[[[[[]]]],[],[[]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1]
[[[],[],[]],[[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,2,1,1,1]
[[[],[[]]],[[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1]
[[[[]],[]],[[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1]
[[[[],[]]],[[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,2,1,1]
[[[[[]]]],[[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,2,1]
[[[],[],[]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1]
[[[],[],[]],[[[]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1]
[[[],[[]]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1]
[[[],[[]]],[[[]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1]
[[[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1]
[[[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1]
[[[[],[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1]
[[[[],[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1]
[[[[[]]]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1]
[[[[[]]]],[[[]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3]
[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,1,1,1,1,1]
[[[],[],[[]]],[],[]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [3,1,1,1,1]
[[[],[[]],[]],[],[]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [3,1,1,1,1]
[[[],[[],[]]],[],[]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [3,1,1,1,1]
[[[],[[[]]]],[],[]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [4,1,1,1]
[[[[]],[],[]],[],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,1,1,1,1]
[[[[]],[[]]],[],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,2,1,1]
[[[[],[]],[]],[],[]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,1,1,1,1]
[[[[[]]],[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,1,1,1]
[[[[],[],[]]],[],[]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,1,1,1,1]
[[[[],[[]]]],[],[]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [4,1,1,1]
[[[[[]],[]]],[],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,1,1,1]
[[[[[],[]]]],[],[]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,1,1,1]
[[[[[[]]]]],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,1,1]
[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1]
[[[],[],[[]]],[[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1]
[[[],[[]],[]],[[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1]
[[[],[[],[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1]
[[[],[[[]]]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1]
[[[[]],[],[]],[[]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1]
[[[[]],[[]]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2]
[[[[],[]],[]],[[]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1]
[[[[[]]],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1]
[[[[],[],[]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1]
[[[[],[[]]]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1]
[[[[[]],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1]
[[[[[],[]]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1]
[[[[[[]]]]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2]
[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,1,1,1,1,1]
[[[],[],[],[[]]],[]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [3,1,1,1,1]
[[[],[],[[]],[]],[]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [3,1,1,1,1]
[[[],[],[[],[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1]
[[[],[],[[[]]]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1]
[[[],[[]],[],[]],[]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [3,1,1,1,1]
[[[],[[]],[[]]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1]
[[[],[[],[]],[]],[]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [3,1,1,1,1]
[[[],[[[]]],[]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,1,1,1]
[[[],[[],[],[]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,1,1,1,1]
[[[],[[],[[]]]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1]
[[[],[[[]],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [4,1,1,1]
[[[],[[[],[]]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,1,1,1]
[[[],[[[[]]]]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [5,1,1]
[[[[]],[],[],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,1,1,1,1]
[[[[]],[],[[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,1,1]
[[[[]],[[]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,2,1,1]
[[[[]],[[],[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1]
[[[[]],[[[]]]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1]
[[[[],[]],[],[]],[]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,1,1,1,1]
[[[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,1,1,1]
[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,2,1,1]
[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,2,1]
[[[[],[],[]],[]],[]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,1,1,1,1]
[[[[],[[]]],[]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [4,1,1,1]
[[[[[]],[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,1,1,1]
[[[[[],[]]],[]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,1,1,1]
[[[[[[]]]],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,1,1]
[[[[],[],[],[]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,1,1,1,1]
[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [4,1,1,1]
[[[[],[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [4,1,1,1]
[[[[],[[],[]]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [4,1,1,1]
[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [5,1,1]
[[[[[]],[],[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,1,1,1]
[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,2,1]
[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,1,1,1]
[[[[[[]]],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,1,1]
[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,1,1,1]
[[[[[],[[]]]]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [5,1,1]
[[[[[[]],[]]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,1,1]
[[[[[[],[]]]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,1,1]
[[[[[[[]]]]]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,1]
[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,1,1,1,1,1]
[[[],[],[],[],[[]]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [3,1,1,1,1]
[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [3,1,1,1,1]
[[[],[],[],[[],[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1]
[[[],[],[],[[[]]]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1]
[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [3,1,1,1,1]
[[[],[],[[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1]
[[[],[],[[],[]],[]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1]
[[[],[],[[[]]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1]
[[[],[],[[],[],[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1]
[[[],[],[[],[[]]]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1]
[[[],[],[[[]],[]]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1]
[[[],[],[[[],[]]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1]
[[[],[],[[[[]]]]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1]
[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [3,1,1,1,1]
[[[],[[]],[],[[]]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1]
[[[],[[]],[[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1]
[[[],[[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1]
[[[],[[]],[[[]]]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1]
[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [3,1,1,1,1]
[[[],[[[]]],[],[]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [4,1,1,1]
[[[],[[],[]],[[]]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1]
[[[],[[[]]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1]
[[[],[[],[],[]],[]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [3,1,1,1,1]
[[[],[[],[[]]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1]
[[[],[[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [4,1,1,1]
[[[],[[[],[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,1,1,1]
[[[],[[[[]]]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [5,1,1]
[[[],[[],[],[],[]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,1,1,1,1]
[[[],[[],[],[[]]]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1]
[[[],[[],[[]],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1]
[[[],[[],[[],[]]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1]
[[[],[[],[[[]]]]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1]
[[[],[[[]],[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1]
[[[],[[[]],[[]]]]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1]
[[[],[[[],[]],[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1]
[[[],[[[[]]],[]]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [5,1,1]
[[[],[[[],[],[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1]
[[[],[[[],[[]]]]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1]
[[[],[[[[]],[]]]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [5,1,1]
[[[],[[[[],[]]]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,1,1]
[[[],[[[[[]]]]]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [6,1]
[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,1,1,1,1]
[[[[]],[],[],[[]]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,1,1]
[[[[]],[],[[]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,1,1]
[[[[]],[],[[],[]]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1]
[[[[]],[],[[[]]]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1]
[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,2,1,1]
[[[[]],[[]],[[]]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2]
[[[[]],[[],[]],[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1]
[[[[]],[[[]]],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1]
[[[[]],[[],[],[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1]
[[[[]],[[],[[]]]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1]
[[[[]],[[[]],[]]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1]
[[[[]],[[[],[]]]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1]
[[[[]],[[[[]]]]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2]
[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,1,1,1,1]
[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,1,1,1]
[[[[],[]],[],[[]]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,2,1,1]
[[[[[]]],[],[[]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1]
[[[[],[]],[[]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,2,1,1]
[[[[[]]],[[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1]
[[[[],[]],[[],[]]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1]
[[[[],[]],[[[]]]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1]
[[[[[]]],[[],[]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1]
[[[[[]]],[[[]]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3]
[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,1,1,1,1]
[[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [4,1,1,1]
[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,1,1,1]
[[[[[],[]]],[],[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,1,1,1]
[[[[[[]]]],[],[]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,1,1]
[[[[],[],[]],[[]]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,2,1,1]
[[[[],[[]]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1]
[[[[[]],[]],[[]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,2,1]
[[[[[],[]]],[[]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,2,1]
[[[[[[]]]],[[]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,2]
[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,1,1,1,1]
[[[[],[],[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,1,1,1]
[[[[],[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [4,1,1,1]
[[[[],[[],[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,1,1,1]
[[[[],[[[]]]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [5,1,1]
[[[[[]],[],[]],[]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,1,1,1]
[[[[[]],[[]]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,2,1]
[[[[[],[]],[]],[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,1,1,1]
[[[[[[]]],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,1,1]
[[[[[],[],[]]],[]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,1,1,1]
[[[[[],[[]]]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [5,1,1]
[[[[[[]],[]]],[]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,1,1]
[[[[[[],[]]]],[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,1,1]
[[[[[[[]]]]],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,1]
[[[[],[],[],[],[]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,1,1,1,1]
[[[[],[],[],[[]]]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,1,1,1]
[[[[],[],[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [4,1,1,1]
[[[[],[],[[],[]]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1]
[[[[],[],[[[]]]]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1]
[[[[],[[]],[],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [4,1,1,1]
[[[[],[[]],[[]]]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1]
[[[[],[[],[]],[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [4,1,1,1]
[[[[],[[[]]],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [5,1,1]
[[[[],[[],[],[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [4,1,1,1]
[[[[],[[],[[]]]]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1]
[[[[],[[[]],[]]]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [5,1,1]
[[[[],[[[],[]]]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [5,1,1]
[[[[],[[[[]]]]]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [6,1]
[[[[[]],[],[],[]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,1,1,1]
[[[[[]],[],[[]]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,2,1]
[[[[[]],[[]],[]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,2,1]
[[[[[]],[[],[]]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1]
[[[[[]],[[[]]]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2]
[[[[[],[]],[],[]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,1,1,1]
[[[[[[]]],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,1,1]
[[[[[],[]],[[]]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,2,1]
[[[[[[]]],[[]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,2]
[[[[[],[],[]],[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,1,1,1]
[[[[[],[[]]],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [5,1,1]
[[[[[[]],[]],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,1,1]
[[[[[[],[]]],[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,1,1]
[[[[[[[]]]],[]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,1]
[[[[[],[],[],[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,1,1,1]
[[[[[],[],[[]]]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [5,1,1]
[[[[[],[[]],[]]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [5,1,1]
[[[[[],[[],[]]]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,1,1]
[[[[[],[[[]]]]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [6,1]
[[[[[[]],[],[]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,1,1]
[[[[[[]],[[]]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,2]
[[[[[[],[]],[]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,1,1]
[[[[[[[]]],[]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,1]
[[[[[[],[],[]]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,1,1]
[[[[[[],[[]]]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [6,1]
[[[[[[[]],[]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,1]
[[[[[[[],[]]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,1]
[[[[[[[[]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7]
[[],[],[],[],[],[],[],[]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1]
[[],[],[],[],[],[],[[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1]
[[],[],[],[],[],[[]],[]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1]
[[],[],[],[],[],[[],[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1]
[[],[],[],[],[],[[[]]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1]
[[],[],[],[],[[]],[],[]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1]
[[],[],[],[],[[]],[[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1]
[[],[],[],[],[[],[]],[]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1]
[[],[],[],[],[[[]]],[]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1]
[[],[],[],[],[[],[],[]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1]
[[],[],[],[],[[],[[]]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1]
[[],[],[],[],[[[]],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1]
[[],[],[],[],[[[],[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1]
[[],[],[],[],[[[[]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1]
[[],[],[],[[]],[],[],[]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1]
[[],[],[],[[]],[],[[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1]
[[],[],[],[[]],[[]],[]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1]
[[],[],[],[[]],[[],[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1]
[[],[],[],[[]],[[[]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1]
[[],[],[],[[],[]],[],[]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1]
[[],[],[],[[[]]],[],[]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1]
[[],[],[],[[],[]],[[]]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1]
[[],[],[],[[[]]],[[]]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1]
[[],[],[],[[],[],[]],[]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1]
[[],[],[],[[],[[]]],[]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1]
[[],[],[],[[[]],[]],[]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1]
[[],[],[],[[[],[]]],[]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1]
[[],[],[],[[[[]]]],[]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1]
[[],[],[],[[],[],[],[]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1]
[[],[],[],[[],[],[[]]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1]
[[],[],[],[[],[[]],[]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1]
[[],[],[],[[],[[],[]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1]
[[],[],[],[[],[[[]]]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1]
[[],[],[],[[[]],[],[]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1]
[[],[],[],[[[]],[[]]]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1]
[[],[],[],[[[],[]],[]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1]
[[],[],[],[[[[]]],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1]
[[],[],[],[[[],[],[]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1]
[[],[],[],[[[],[[]]]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1]
[[],[],[],[[[[]],[]]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1]
[[],[],[],[[[[],[]]]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1]
[[],[],[],[[[[[]]]]]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1]
[[],[],[[]],[],[],[],[]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1]
[[],[],[[]],[],[],[[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1]
[[],[],[[]],[],[[]],[]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1]
[[],[],[[]],[],[[],[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1]
[[],[],[[]],[],[[[]]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1]
[[],[],[[]],[[]],[],[]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1]
[[],[],[[]],[[]],[[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1]
[[],[],[[]],[[],[]],[]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1]
[[],[],[[]],[[],[],[]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1]
[[],[],[[]],[[],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1]
[[],[],[[]],[[[]],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1]
[[],[],[[]],[[[],[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1]
[[],[],[[]],[[[[]]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1]
[[],[],[[[]]],[],[],[]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1]
[[],[],[[[]]],[],[[]]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1]
[[],[],[[],[]],[[]],[]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1]
[[],[],[[],[]],[[],[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1]
[[],[],[[],[]],[[[]]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1]
[[],[],[[[]]],[[],[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1]
[[],[],[[],[],[]],[],[]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1]
[[],[],[[],[[]]],[],[]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1]
[[],[],[[[],[]]],[],[]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1]
[[],[],[[[[]]]],[],[]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1]
[[],[],[[],[],[]],[[]]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1]
[[],[],[[],[],[],[]],[]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1]
[[],[],[[],[[],[]]],[]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1]
[[],[],[[[]],[],[]],[]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1]
[[],[],[[[],[]],[]],[]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1]
[[],[],[[[],[],[]]],[]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1]
[[],[],[[[],[[]]]],[]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1]
[[],[],[[[[],[]]]],[]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1]
[[],[],[[[[[]]]]],[]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1]
[[],[],[[],[],[],[],[]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1]
[[],[],[[],[],[],[[]]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1]
[[],[],[[],[],[[],[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1]
[[],[],[[],[],[[[]]]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1]
[[],[],[[],[[[]]],[]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1]
[[],[],[[],[[],[],[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1]
[[],[],[[],[[],[[]]]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1]
[[],[],[[],[[[[]]]]]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1]
[[],[],[[[]],[],[],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1]
[[],[],[[[]],[],[[]]]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1]
[[],[],[[[]],[[]],[]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1]
[[],[],[[[]],[[[]]]]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1]
[[],[],[[[[]]],[],[]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1]
[[],[],[[[[]]],[[]]]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1]
[[],[],[[[],[],[]],[]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1]
[[],[],[[[],[[]]],[]]] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1]
[[],[],[[[[[]]]],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1]
[[],[],[[[],[],[],[]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1]
[[],[],[[[],[],[[]]]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1]
[[],[],[[[],[[]],[]]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1]
[[],[],[[[[]],[],[]]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1]
[[],[],[[[[]],[[]]]]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1]
[[],[],[[[[[]]],[]]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1]
[[],[],[[[[],[],[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1]
[[],[],[[[[[],[]]]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1]
[[],[],[[[[[[]]]]]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1]
[[],[[]],[],[],[],[],[]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,1,1,1,1,1,1]
[[],[[]],[],[],[],[[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1]
[[],[[]],[],[],[[]],[]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1]
[[],[[]],[],[],[[],[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1]
[[],[[]],[],[],[[[]]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1]
[[],[[]],[],[[]],[],[]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1]
[[],[[]],[],[[]],[[]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1]
[[],[[]],[],[[[]]],[]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1]
[[],[[]],[],[[],[],[]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1]
[[],[[]],[],[[],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1]
[[],[[]],[],[[[]],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1]
[[],[[]],[],[[[[]]]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1]
[[],[[]],[[]],[],[],[]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1]
[[],[[]],[[]],[[]],[]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1]
[[],[[]],[[]],[[],[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1]
[[],[[]],[[]],[[[]]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1]
[[],[[]],[[],[]],[],[]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1]
[[],[[]],[[[]]],[],[]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [3,2,1,1,1]
[[],[[]],[[],[]],[[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1]
[[],[[]],[[[]]],[[]]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1]
[[],[[]],[[],[],[]],[]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1]
[[],[[]],[[],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1]
[[],[[]],[[[]],[]],[]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1]
[[],[[]],[[[],[]]],[]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1]
[[],[[]],[[[[]]]],[]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1]
[[],[[]],[[],[],[],[]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1]
[[],[[]],[[],[],[[]]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1]
[[],[[]],[[],[[]],[]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1]
[[],[[]],[[],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1]
[[],[[]],[[],[[[]]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1]
[[],[[]],[[[]],[],[]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1]
[[],[[]],[[[]],[[]]]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1]
[[],[[]],[[[],[]],[]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1]
[[],[[]],[[[[]]],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1]
[[],[[]],[[[],[],[]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1]
[[],[[]],[[[],[[]]]]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1]
[[],[[]],[[[[]],[]]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1]
[[],[[]],[[[[[]]]]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1]
[[],[[],[]],[],[],[],[]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,1,1,1,1,1,1]
[[],[[[]]],[],[],[],[]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,1,1,1,1,1]
[[],[[],[]],[],[],[[]]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1]
[[],[[[]]],[],[],[[]]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1]
[[],[[],[]],[],[[]],[]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1]
[[],[[[]]],[],[[]],[]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1]
[[],[[],[]],[],[[],[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1]
[[],[[],[]],[],[[[]]]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1]
[[],[[[]]],[],[[],[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1]
[[],[[[]]],[],[[[]]]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1]
[[],[[],[]],[[]],[[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1]
[[],[[],[]],[[],[]],[]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1]
[[],[[[]]],[[],[]],[]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1]
[[],[[[]]],[[[]]],[]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1]
[[],[[],[]],[[],[],[]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1]
[[],[[],[]],[[],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1]
[[],[[],[]],[[[]],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1]
[[],[[],[]],[[[],[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1]
[[],[[],[]],[[[[]]]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1]
[[],[[[]]],[[],[],[]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1]
[[],[[[]]],[[],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1]
[[],[[[]]],[[[]],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1]
[[],[[[]]],[[[[]]]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1]
[[],[[],[],[]],[],[],[]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,1,1,1,1,1,1]
[[],[[],[[]]],[],[],[]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1]
[[],[[[],[]]],[],[],[]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [3,1,1,1,1,1]
[[],[[[[]]]],[],[],[]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,1,1,1,1]
[[],[[],[],[]],[],[[]]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1]
[[],[[],[[]]],[],[[]]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1]
[[],[[[],[]]],[],[[]]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1]
[[],[[],[],[]],[[]],[]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1]
[[],[[],[[]]],[[]],[]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1]
[[],[[[]],[]],[[]],[]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1]
[[],[[[],[]]],[[]],[]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1]
[[],[[[[]]]],[[]],[]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1]
[[],[[],[],[]],[[],[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1]
[[],[[],[],[]],[[[]]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1]
[[],[[],[[]]],[[],[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1]
[[],[[[]],[]],[[],[]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1]
[[],[[[]],[]],[[[]]]] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1]
[[],[[[],[]]],[[],[]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1]
[[],[[[],[]]],[[[]]]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1]
[[],[[[[]]]],[[],[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1]
[[],[[[[]]]],[[[]]]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1]
[[],[[],[],[],[]],[],[]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1]
[[],[[],[[]],[]],[],[]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [3,1,1,1,1,1]
[[],[[],[[],[]]],[],[]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1]
[[],[[[]],[],[]],[],[]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [3,1,1,1,1,1]
[[],[[[]],[[]]],[],[]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1]
[[],[[[],[]],[]],[],[]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [3,1,1,1,1,1]
[[],[[[[]]],[]],[],[]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,1,1,1,1]
[[],[[[],[],[]]],[],[]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [3,1,1,1,1,1]
[[],[[[],[[]]]],[],[]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [4,1,1,1,1]
[[],[[[[]],[]]],[],[]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [4,1,1,1,1]
[[],[[[[],[]]]],[],[]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1]
[[],[[[[[]]]]],[],[]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,1,1,1]
[[],[[],[],[],[]],[[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1]
[[],[[],[[[]]]],[[]]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1]
[[],[[[[]],[]]],[[]]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1]
[[],[[[[],[]]]],[[]]] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1]
[[],[[[[[]]]]],[[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1]
[[],[[],[],[],[],[]],[]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1]
[[],[[],[],[],[[]]],[]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1]
[[],[[],[],[[]],[]],[]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1]
[[],[[],[],[[],[]]],[]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1]
[[],[[],[[]],[],[]],[]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [3,1,1,1,1,1]
[[],[[],[[]],[[]]],[]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1]
[[],[[],[[],[]],[]],[]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1]
[[],[[],[[[]]],[]],[]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1]
[[],[[],[[],[],[]]],[]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1]
[[],[[],[[],[[]]]],[]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1]
[[],[[],[[[]],[]]],[]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1]
[[],[[],[[[],[]]]],[]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1]
[[],[[],[[[[]]]]],[]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1]
[[],[[[]],[],[[]]],[]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1]
[[],[[[]],[[]],[]],[]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1]
[[],[[[],[]],[],[]],[]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [3,1,1,1,1,1]
[[],[[[[]]],[],[]],[]] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,1,1,1,1]
[[],[[[],[],[]],[]],[]] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [3,1,1,1,1,1]
[[],[[[[]],[]],[]],[]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,1,1,1,1]
[[],[[[],[[]],[]]],[]] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,1,1,1,1]
[[],[[[],[[],[]]]],[]] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1]
[[],[[[],[[[]]]]],[]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1]
[[],[[[[]],[],[]]],[]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [4,1,1,1,1]
[[],[[[[]],[[]]]],[]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1]
[[],[[[[],[]],[]]],[]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [4,1,1,1,1]
[[],[[[[],[],[]]]],[]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,1,1,1,1]
[[],[[[[[]],[]]]],[]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,1,1,1]
[[],[[[[[],[]]]]],[]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,1,1,1]
[[],[[[[[[]]]]]],[]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1]
[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1]
[[],[[],[],[],[],[[]]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1]
[[],[[],[],[],[[]],[]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1]
[[],[[],[],[],[[],[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1]
[[],[[],[],[],[[[]]]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1]
[[],[[],[],[[]],[],[]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1]
[[],[[],[],[[],[]],[]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1]
[[],[[],[],[[[]]],[]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1]
[[],[[],[],[[],[],[]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1]
[[],[[],[],[[[]],[]]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1]
[[],[[],[],[[[[]]]]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1]
[[],[[],[[]],[],[],[]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1]
[[],[[],[[]],[[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1]
[[],[[],[[]],[[],[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1]
[[],[[],[[],[]],[],[]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1]
[[],[[],[[[]]],[[]]]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1]
[[],[[],[[],[],[]],[]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1]
[[],[[],[[],[[]]],[]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1]
[[],[[],[[[]],[]],[]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1]
[[],[[],[[],[],[],[]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1]
[[],[[],[[],[],[[]]]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1]
[[],[[],[[],[[]],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1]
[[],[[],[[],[[],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1]
[[],[[],[[],[[[]]]]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1]
[[],[[],[[[]],[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1]
[[],[[],[[[],[]],[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1]
[[],[[],[[[],[],[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1]
[[],[[],[[[],[[]]]]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1]
[[],[[],[[[[],[]]]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1]
[[],[[],[[[[[]]]]]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1]
[[],[[[]],[],[],[],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1]
[[],[[[]],[],[[],[]]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1]
[[],[[[]],[],[[[]]]]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1]
[[],[[[]],[[]],[],[]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1]
[[],[[[]],[[]],[[]]]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1]
[[],[[[]],[[],[]],[]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1]
[[],[[[]],[[],[],[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1]
[[],[[[]],[[],[[]]]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1]
[[],[[[]],[[[],[]]]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1]
[[],[[[]],[[[[]]]]]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1]
[[],[[[],[]],[],[],[]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [3,1,1,1,1,1]
[[],[[[[]]],[],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,1,1,1,1]
[[],[[[],[]],[],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1]
[[],[[[[]]],[],[[]]]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1]
[[],[[[],[]],[[],[]]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1]
[[],[[[],[]],[[[]]]]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1]
[[],[[[[]]],[[[]]]]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1]
[[],[[[[]],[]],[],[]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,1,1,1,1]
[[],[[[[[]]]],[],[]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,1,1,1]
[[],[[[],[],[]],[[]]]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1]
[[],[[[],[[]]],[[]]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1]
[[],[[[[],[]]],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1]
[[],[[[[[]]]],[[]]]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1]
[[],[[[],[],[],[]],[]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1]
[[],[[[],[[]],[]],[]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1]
[[],[[[],[[],[]]],[]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1]
[[],[[[[]],[],[]],[]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1]
[[],[[[[],[]],[]],[]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1]
[[],[[[[[]],[]]],[]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,1,1,1]
[[],[[[[[],[]]]],[]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,1,1,1]
[[],[[[[[[]]]]],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1]
[[],[[[],[],[],[],[]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1]
[[],[[[],[],[[],[]]]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1]
[[],[[[],[],[[[]]]]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1]
[[],[[[],[[]],[[]]]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1]
[[],[[[],[[],[]],[]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1]
[[],[[[],[[[]]],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1]
[[],[[[],[[],[],[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1]
[[],[[[],[[],[[]]]]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1]
[[],[[[],[[[],[]]]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1]
[[],[[[],[[[[]]]]]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1]
[[],[[[[]],[],[[]]]]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1]
[[],[[[[]],[[],[]]]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1]
[[],[[[[[]]],[],[]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,1,1,1]
[[],[[[[[[]]]],[]]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1]
[[],[[[[],[],[],[]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1]
[[],[[[[],[[]],[]]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1]
[[],[[[[],[[[]]]]]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1]
[[],[[[[[]],[],[]]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1]
[[],[[[[[]],[[]]]]]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1]
[[],[[[[[],[]],[]]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1]
[[],[[[[[[]]],[]]]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1]
[[],[[[[[],[],[]]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1]
[[],[[[[[],[[]]]]]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1]
[[],[[[[[[]],[]]]]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1]
[[],[[[[[[],[]]]]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1]
[[],[[[[[[[]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1]
[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,1,1,1,1,1]
[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1]
[[[]],[],[],[],[[]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1]
[[[]],[],[],[],[[],[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1]
[[[]],[],[],[],[[[]]]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1]
[[[]],[],[],[[]],[],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1]
[[[]],[],[],[[]],[[]]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1]
[[[]],[],[],[[],[]],[]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1]
[[[]],[],[],[[],[],[]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1]
[[[]],[],[],[[[]],[]]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1]
[[[]],[],[],[[[],[]]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1]
[[[]],[],[],[[[[]]]]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1]
[[[]],[],[[]],[],[[]]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1]
[[[]],[],[[]],[[],[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1]
[[[]],[],[[]],[[[]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1]
[[[]],[],[[],[]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1]
[[[]],[],[[[],[]]],[]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1]
[[[]],[],[[],[],[],[]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1]
[[[]],[],[[[]],[[]]]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1]
[[[]],[],[[[],[[]]]]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1]
[[[]],[],[[[[],[]]]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1]
[[[]],[],[[[[[]]]]]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1]
[[[]],[[]],[],[],[],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,2,1,1,1,1]
[[[]],[[]],[],[],[[]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1]
[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1]
[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1]
[[[]],[[]],[[]],[],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1]
[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2]
[[[]],[[]],[[],[],[]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1]
[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1]
[[[]],[[]],[[[]],[]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1]
[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1]
[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2]
[[[]],[[],[]],[],[],[]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,2,1,1,1,1]
[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [3,2,1,1,1]
[[[]],[[],[]],[],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1]
[[[]],[[[]]],[[]],[]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1]
[[[]],[[],[]],[[[]]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1]
[[[]],[[],[[]]],[],[]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1]
[[[]],[[[],[]]],[],[]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1]
[[[]],[[],[],[]],[[]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1]
[[[]],[[],[[]]],[[]]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1]
[[[]],[[[]],[]],[[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1]
[[[]],[[[],[]]],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1]
[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2]
[[[]],[[],[],[],[]],[]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1]
[[[]],[[],[[],[]]],[]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1]
[[[]],[[[],[],[]]],[]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1]
[[[]],[[[[],[]]]],[]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1]
[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1]
[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1]
[[[]],[[],[],[],[[]]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1]
[[[]],[[],[],[[],[]]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1]
[[[]],[[],[],[[[]]]]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1]
[[[]],[[],[[]],[[]]]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1]
[[[]],[[],[[],[]],[]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1]
[[[]],[[],[[[]]],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1]
[[[]],[[],[[],[],[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1]
[[[]],[[],[[],[[]]]]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1]
[[[]],[[],[[[],[]]]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1]
[[[]],[[],[[[[]]]]]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1]
[[[]],[[[]],[],[],[]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1]
[[[]],[[[]],[],[[]]]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1]
[[[]],[[[]],[[]],[]]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1]
[[[]],[[[]],[[],[]]]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1]
[[[]],[[[]],[[[]]]]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2]
[[[]],[[[],[]],[],[]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1]
[[[]],[[[],[]],[[]]]] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1]
[[[]],[[[[]]],[[]]]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2]
[[[]],[[[],[],[]],[]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1]
[[[]],[[[],[[]]],[]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1]
[[[]],[[[[]],[]],[]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1]
[[[]],[[[[],[]]],[]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1]
[[[]],[[[[[]]]],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1]
[[[]],[[[],[],[],[]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1]
[[[]],[[[],[],[[]]]]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1]
[[[]],[[[],[[]],[]]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1]
[[[]],[[[],[[],[]]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1]
[[[]],[[[],[[[]]]]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1]
[[[]],[[[[]],[],[]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1]
[[[]],[[[[]],[[]]]]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2]
[[[]],[[[[],[]],[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1]
[[[]],[[[[[]]],[]]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1]
[[[]],[[[[],[],[]]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1]
[[[]],[[[[],[[]]]]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1]
[[[]],[[[[[]],[]]]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1]
[[[]],[[[[[],[]]]]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1]
[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2]
[[[],[]],[],[],[],[],[]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,1,1,1,1,1,1]
[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,1,1,1,1,1]
[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1]
[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1]
[[[],[]],[],[],[[]],[]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [2,2,1,1,1,1]
[[[],[]],[],[],[[],[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1]
[[[[]]],[],[],[[],[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1]
[[[[]]],[],[],[[[]]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1]
[[[],[]],[],[[]],[[]]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1]
[[[],[]],[],[[],[]],[]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1]
[[[[]]],[],[[[]]],[]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1]
[[[],[]],[],[[],[],[]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1]
[[[],[]],[],[[[]],[]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1]
[[[],[]],[],[[[],[]]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1]
[[[],[]],[],[[[[]]]]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1]
[[[[]]],[],[[],[],[]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1]
[[[[]]],[],[[],[[]]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1]
[[[[]]],[],[[[]],[]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1]
[[[[]]],[],[[[],[]]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1]
[[[[]]],[],[[[[]]]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1]
[[[],[]],[[]],[],[],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [2,2,1,1,1,1]
[[[],[]],[[]],[[]],[]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1]
[[[[]]],[[]],[[]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1]
[[[],[]],[[],[]],[],[]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,2,1,1,1,1]
[[[],[]],[[[]]],[],[]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1]
[[[[]]],[[],[]],[],[]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1]
[[[[]]],[[[]]],[],[]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1]
[[[],[]],[[[]]],[[]]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1]
[[[],[]],[[],[],[]],[]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1]
[[[],[]],[[[]],[]],[]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1]
[[[],[]],[[[],[]]],[]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1]
[[[[]]],[[],[],[]],[]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1]
[[[[]]],[[],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1]
[[[[]]],[[[],[]]],[]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1]
[[[[]]],[[[[]]]],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1]
[[[],[]],[[],[],[],[]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1]
[[[],[]],[[],[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1]
[[[],[]],[[],[[],[]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1]
[[[],[]],[[[]],[[]]]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1]
[[[],[]],[[[],[]],[]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1]
[[[],[]],[[[[]]],[]]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1]
[[[],[]],[[[],[],[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1]
[[[],[]],[[[],[[]]]]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1]
[[[],[]],[[[[]],[]]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1]
[[[],[]],[[[[[]]]]]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1]
[[[[]]],[[],[],[],[]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1]
[[[[]]],[[],[],[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1]
[[[[]]],[[],[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1]
[[[[]]],[[],[[],[]]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1]
[[[[]]],[[],[[[]]]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1]
[[[[]]],[[[]],[],[]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1]
[[[[]]],[[[]],[[]]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2]
[[[[]]],[[[],[]],[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1]
[[[[]]],[[[[]]],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1]
[[[[]]],[[[],[],[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1]
[[[[]]],[[[],[[]]]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1]
[[[[]]],[[[[]],[]]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1]
[[[[]]],[[[[],[]]]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1]
[[[[]]],[[[[[]]]]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3]
[[[],[],[]],[],[],[],[]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,1,1,1,1,1,1]
[[[],[[]]],[],[],[],[]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1]
[[[[]],[]],[],[],[],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,1,1,1,1,1]
[[[[],[]]],[],[],[],[]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [3,1,1,1,1,1]
[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,1,1,1,1]
[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1]
[[[[]],[]],[],[],[[]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,1,1,1]
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1]
[[[],[],[]],[],[[]],[]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,2,1,1,1,1]
[[[[]],[]],[],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1]
[[[],[],[]],[],[[],[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1]
[[[],[],[]],[],[[[]]]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1]
[[[],[[]]],[],[[[]]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1]
[[[[]],[]],[],[[],[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1]
[[[[]],[]],[],[[[]]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1]
[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1]
[[[],[],[]],[[]],[],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [2,2,1,1,1,1]
[[[],[[]]],[[]],[],[]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,1,1,1]
[[[[]],[]],[[]],[],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,1,1,1]
[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,2,1,1]
[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1]
[[[],[[]]],[[]],[[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1]
[[[[]],[]],[[]],[[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1]
[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1]
[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2]
[[[],[],[]],[[],[]],[]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1]
[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [3,2,1,1,1]
[[[[]],[]],[[],[]],[]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1]
[[[[]],[]],[[[]]],[]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1]
[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1]
[[[],[],[]],[[],[[]]]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1]
[[[],[],[]],[[[]],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1]
[[[],[],[]],[[[],[]]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1]
[[[],[],[]],[[[[]]]]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1]
[[[],[[]]],[[],[],[]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1]
[[[],[[]]],[[],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1]
[[[],[[]]],[[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1]
[[[],[[]]],[[[],[]]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1]
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1]
[[[[]],[]],[[],[],[]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1]
[[[[]],[]],[[],[[]]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1]
[[[[]],[]],[[[]],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1]
[[[[]],[]],[[[],[]]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1]
[[[[]],[]],[[[[]]]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1]
[[[[],[]]],[[],[],[]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1]
[[[[],[]]],[[],[[]]]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1]
[[[[],[]]],[[[]],[]]] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1]
[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1]
[[[[],[]]],[[[[]]]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1]
[[[[[]]]],[[],[],[]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1]
[[[[[]]]],[[],[[]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1]
[[[[[]]]],[[[]],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1]
[[[[[]]]],[[[],[]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1]
[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4]
[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,1,1,1,1,1,1]
[[[],[],[[]]],[],[],[]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [3,1,1,1,1,1]
[[[],[[]],[]],[],[],[]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [3,1,1,1,1,1]
[[[],[[],[]]],[],[],[]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [3,1,1,1,1,1]
[[[],[[[]]]],[],[],[]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [4,1,1,1,1]
[[[[]],[],[]],[],[],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [3,1,1,1,1,1]
[[[[]],[[]]],[],[],[]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [3,2,1,1,1]
[[[[],[]],[]],[],[],[]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [3,1,1,1,1,1]
[[[[[]]],[]],[],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [4,1,1,1,1]
[[[[],[],[]]],[],[],[]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,1,1,1,1,1]
[[[[],[[]]]],[],[],[]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [4,1,1,1,1]
[[[[[]],[]]],[],[],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [4,1,1,1,1]
[[[[[],[]]]],[],[],[]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,1,1,1,1]
[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,1,1,1]
[[[],[],[],[]],[],[[]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,2,1,1,1,1]
[[[],[],[[]]],[],[[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1]
[[[],[[]],[]],[],[[]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1]
[[[],[[],[]]],[],[[]]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1]
[[[],[[[]]]],[],[[]]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1]
[[[[]],[[]]],[],[[]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1]
[[[[],[],[]]],[],[[]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1]
[[[[],[[]]]],[],[[]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1]
[[[[[]],[]]],[],[[]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [4,2,1,1]
[[[[[],[]]]],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1]
[[[[[[]]]]],[],[[]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,2,1]
[[[],[],[],[]],[[]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [2,2,1,1,1,1]
[[[],[],[[]]],[[]],[]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1]
[[[],[[]],[]],[[]],[]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1]
[[[],[[],[]]],[[]],[]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1]
[[[],[[[]]]],[[]],[]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1]
[[[[]],[[]]],[[]],[]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1]
[[[[],[]],[]],[[]],[]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [3,2,1,1,1]
[[[[],[],[]]],[[]],[]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,1,1,1]
[[[[],[[]]]],[[]],[]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1]
[[[[[],[]]]],[[]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1]
[[[[[[]]]]],[[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1]
[[[],[],[],[]],[[],[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1]
[[[],[],[],[]],[[[]]]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1]
[[[],[],[[]]],[[[]]]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1]
[[[],[[]],[]],[[],[]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1]
[[[],[[]],[]],[[[]]]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1]
[[[],[[],[]]],[[],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1]
[[[],[[],[]]],[[[]]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1]
[[[],[[[]]]],[[],[]]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1]
[[[],[[[]]]],[[[]]]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1]
[[[[]],[],[]],[[[]]]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1]
[[[[]],[[]]],[[],[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1]
[[[[]],[[]]],[[[]]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2]
[[[[],[]],[]],[[],[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1]
[[[[],[]],[]],[[[]]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1]
[[[[[]]],[]],[[],[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1]
[[[[[]]],[]],[[[]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1]
[[[[],[],[]]],[[],[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1]
[[[[],[],[]]],[[[]]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1]
[[[[],[[]]]],[[],[]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1]
[[[[],[[]]]],[[[]]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1]
[[[[[]],[]]],[[[]]]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1]
[[[[[],[]]]],[[[]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1]
[[[[[[]]]]],[[],[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1]
[[[[[[]]]]],[[[]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3]
[[[],[],[],[],[]],[],[]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,1,1,1,1,1,1]
[[[],[],[],[[]]],[],[]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [3,1,1,1,1,1]
[[[],[],[[]],[]],[],[]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [3,1,1,1,1,1]
[[[],[],[[],[]]],[],[]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [3,1,1,1,1,1]
[[[],[[]],[[]]],[],[]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,2,1,1,1]
[[[],[[],[],[]]],[],[]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [3,1,1,1,1,1]
[[[],[[],[[]]]],[],[]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1]
[[[[]],[],[],[]],[],[]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [3,1,1,1,1,1]
[[[[],[]],[],[]],[],[]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [3,1,1,1,1,1]
[[[[[]]],[],[]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [4,1,1,1,1]
[[[[[]]],[[]]],[],[]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,2,1,1]
[[[[],[],[]],[]],[],[]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,1,1,1,1,1]
[[[[],[[]]],[]],[],[]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [4,1,1,1,1]
[[[[[]],[]],[]],[],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [4,1,1,1,1]
[[[[[],[]]],[]],[],[]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [4,1,1,1,1]
[[[[[[]]]],[]],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,1,1,1]
[[[[],[[[]]]]],[],[]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [5,1,1,1]
[[[[[]],[[]]]],[],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [4,2,1,1]
[[[[[[]]],[]]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,1,1,1]
[[[[[],[],[]]]],[],[]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [4,1,1,1,1]
[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [5,1,1,1]
[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [5,1,1,1]
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,1,1]
[[[],[],[],[],[]],[[]]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,2,1,1,1,1]
[[[],[],[[],[]]],[[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1]
[[[],[],[[[]]]],[[]]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1]
[[[],[[]],[],[]],[[]]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1]
[[[],[[]],[[]]],[[]]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1]
[[[],[[],[]],[]],[[]]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1]
[[[],[[[]]],[]],[[]]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1]
[[[],[[],[[]]]],[[]]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1]
[[[],[[[],[]]]],[[]]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1]
[[[],[[[[]]]]],[[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1]
[[[[]],[[]],[]],[[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1]
[[[[]],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1]
[[[[]],[[[]]]],[[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2]
[[[[],[]],[],[]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [3,2,1,1,1]
[[[[[]]],[],[]],[[]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1]
[[[[],[]],[[]]],[[]]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1]
[[[[[]]],[[]]],[[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2]
[[[[],[],[]],[]],[[]]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [3,2,1,1,1]
[[[[],[[]]],[]],[[]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1]
[[[[[]],[]],[]],[[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1]
[[[[[[]]]],[]],[[]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1]
[[[[],[],[[]]]],[[]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1]
[[[[],[[],[]]]],[[]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1]
[[[[],[[[]]]]],[[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1]
[[[[[]],[],[]]],[[]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,2,1,1]
[[[[[]],[[]]]],[[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2]
[[[[[],[]],[]]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1]
[[[[[[]]],[]]],[[]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1]
[[[[[],[],[]]]],[[]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1]
[[[[[],[[]]]]],[[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1]
[[[[[[]],[]]]],[[]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [5,2,1]
[[[[[[],[]]]]],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1]
[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2]
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,1,1,1,1,1,1]
[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [3,1,1,1,1,1]
[[[],[],[],[[]],[]],[]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [3,1,1,1,1,1]
[[[],[],[],[[],[]]],[]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [3,1,1,1,1,1]
[[[],[],[],[[[]]]],[]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1]
[[[],[],[[]],[],[]],[]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [3,1,1,1,1,1]
[[[],[],[[],[]],[]],[]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [3,1,1,1,1,1]
[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1]
[[[],[],[[],[[]]]],[]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1]
[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1]
[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1]
[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1]
[[[],[[]],[[]],[]],[]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [3,2,1,1,1]
[[[],[[[]]],[],[]],[]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [4,1,1,1,1]
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [4,1,1,1,1]
[[[],[[],[],[],[]]],[]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,1,1,1,1,1]
[[[],[[],[[],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1]
[[[],[[[]],[],[]]],[]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [4,1,1,1,1]
[[[],[[[]],[[]]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1]
[[[],[[[],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,1,1,1,1]
[[[],[[[],[],[]]]],[]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [4,1,1,1,1]
[[[],[[[],[[]]]]],[]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1]
[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,1,1,1]
[[[],[[[[[]]]]]],[]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [6,1,1]
[[[[]],[],[],[],[]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,1,1,1,1,1]
[[[[]],[],[[],[]]],[]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1]
[[[[]],[[]],[[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1]
[[[[]],[[[]]],[]],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1]
[[[[]],[[],[],[]]],[]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1]
[[[[]],[[],[[]]]],[]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1]
[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1]
[[[[]],[[[],[]]]],[]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1]
[[[[]],[[[[]]]]],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1]
[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [3,1,1,1,1,1]
[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [4,1,1,1,1]
[[[[],[]],[],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [3,2,1,1,1]
[[[[[]]],[],[[]]],[]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1]
[[[[],[]],[[]],[]],[]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [3,2,1,1,1]
[[[[[]]],[[]],[]],[]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [4,2,1,1]
[[[[],[]],[[],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,2,1,1,1]
[[[[],[]],[[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1]
[[[[[]]],[[],[]]],[]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1]
[[[[[[]]]],[],[]],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,1,1,1]
[[[[],[],[]],[[]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [3,2,1,1,1]
[[[[],[[]]],[[]]],[]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1]
[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,2,1,1]
[[[[[],[]]],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [4,2,1,1]
[[[[[[]]]],[[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,2,1]
[[[[],[],[],[]],[]],[]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [3,1,1,1,1,1]
[[[[],[],[[]]],[]],[]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [4,1,1,1,1]
[[[[],[[]],[]],[]],[]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [4,1,1,1,1]
[[[[],[[],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,1,1,1,1]
[[[[],[[[]]]],[]],[]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [5,1,1,1]
[[[[[]],[],[]],[]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,1,1,1,1]
[[[[[],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,1,1,1,1]
[[[[[[]]],[]],[]],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [5,1,1,1]
[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [5,1,1,1]
[[[[[[],[]]]],[]],[]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [5,1,1,1]
[[[[[[[]]]]],[]],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [6,1,1]
[[[[],[],[],[],[]]],[]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [3,1,1,1,1,1]
[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1]
[[[[],[[]],[[]]]],[]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,2,1,1]
[[[[],[[],[]],[]]],[]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [4,1,1,1,1]
[[[[],[[[]]],[]]],[]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [5,1,1,1]
[[[[],[[],[],[]]]],[]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [4,1,1,1,1]
[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [5,1,1,1]
[[[[[]],[[]],[]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [4,2,1,1]
[[[[[]],[[[]]]]],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,2,1]
[[[[[[]]],[],[]]],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [5,1,1,1]
[[[[[[]]],[[]]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [5,2,1]
[[[[[[]],[]],[]]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [5,1,1,1]
[[[[[[],[]]],[]]],[]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [5,1,1,1]
[[[[[[[]]]],[]]],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [6,1,1]
[[[[[],[],[],[]]]],[]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,1,1,1,1]
[[[[[],[],[[]]]]],[]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [5,1,1,1]
[[[[[],[[]],[]]]],[]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [5,1,1,1]
[[[[[],[[],[]]]]],[]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,1,1,1]
[[[[[],[[[]]]]]],[]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [6,1,1]
[[[[[[]],[],[]]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [5,1,1,1]
[[[[[[]],[[]]]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [5,2,1]
[[[[[[],[]],[]]]],[]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,1,1,1]
[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,1,1]
[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,1,1,1]
[[[[[[],[[]]]]]],[]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [6,1,1]
[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,1,1]
[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,1,1]
[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,1]
[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,1,1,1,1,1,1]
[[[],[],[],[],[],[[]]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1]
[[[],[],[],[],[[]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1]
[[[],[],[],[],[[],[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1]
[[[],[],[],[],[[[]]]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1]
[[[],[],[],[[]],[],[]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [3,1,1,1,1,1]
[[[],[],[],[[]],[[]]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1]
[[[],[],[],[[],[]],[]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1]
[[[],[],[],[[[]]],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1]
[[[],[],[],[[],[],[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1]
[[[],[],[],[[],[[]]]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1]
[[[],[],[],[[[]],[]]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1]
[[[],[],[],[[[[]]]]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1]
[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [3,1,1,1,1,1]
[[[],[],[[]],[[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1]
[[[],[],[[]],[[],[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1]
[[[],[],[[]],[[[]]]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1]
[[[],[],[[],[]],[],[]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1]
[[[],[],[[[]]],[],[]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1]
[[[],[],[[],[]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1]
[[[],[],[[],[],[]],[]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1]
[[[],[],[[],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1]
[[[],[],[[[[]]]],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1]
[[[],[],[[],[],[],[]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1]
[[[],[],[[],[],[[]]]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1]
[[[],[],[[],[[]],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1]
[[[],[],[[],[[],[]]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1]
[[[],[],[[[]],[[]]]]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1]
[[[],[],[[[[]]],[]]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1]
[[[],[],[[[],[],[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1]
[[[],[],[[[[[]]]]]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1]
[[[],[[]],[],[],[],[]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [3,1,1,1,1,1]
[[[],[[]],[],[],[[]]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1]
[[[],[[]],[],[[]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1]
[[[],[[]],[],[[[]]]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1]
[[[],[[]],[[]],[],[]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1]
[[[],[[]],[[]],[[]]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1]
[[[],[[]],[[],[]],[]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1]
[[[],[[]],[[],[],[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1]
[[[],[[]],[[],[[]]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1]
[[[],[[]],[[[[]]]]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1]
[[[],[[],[]],[],[],[]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [3,1,1,1,1,1]
[[[],[[],[]],[],[[]]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1]
[[[],[[],[]],[[],[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1]
[[[],[[],[]],[[[]]]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1]
[[[],[[[]]],[[],[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1]
[[[],[[[]]],[[[]]]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1]
[[[],[[],[],[]],[],[]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [3,1,1,1,1,1]
[[[],[[],[[]]],[],[]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [4,1,1,1,1]
[[[],[[[]],[]],[],[]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [4,1,1,1,1]
[[[],[[[],[]]],[],[]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [4,1,1,1,1]
[[[],[[[[]]]],[],[]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [5,1,1,1]
[[[],[[],[],[]],[[]]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1]
[[[],[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1]
[[[],[[[[]]]],[[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1]
[[[],[[],[],[],[]],[]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [3,1,1,1,1,1]
[[[],[[],[[]],[]],[]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1]
[[[],[[],[[],[]]],[]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1]
[[[],[[[]],[],[]],[]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1]
[[[],[[[]],[[]]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1]
[[[],[[[],[],[]]],[]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [4,1,1,1,1]
[[[],[[[[]],[]]],[]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [5,1,1,1]
[[[],[[[[[]]]]],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [6,1,1]
[[[],[[],[],[],[],[]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1]
[[[],[[],[],[],[[]]]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1]
[[[],[[],[],[[],[]]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1]
[[[],[[],[[]],[],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1]
[[[],[[],[[]],[[]]]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1]
[[[],[[],[[],[]],[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1]
[[[],[[],[[[]]],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1]
[[[],[[],[[],[],[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1]
[[[],[[],[[],[[]]]]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1]
[[[],[[],[[[],[]]]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1]
[[[],[[],[[[[]]]]]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1]
[[[],[[[]],[],[],[]]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [4,1,1,1,1]
[[[],[[[]],[[]],[]]]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1]
[[[],[[[]],[[],[]]]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1]
[[[],[[[]],[[[]]]]]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1]
[[[],[[[],[]],[],[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [4,1,1,1,1]
[[[],[[[[]]],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [5,1,1,1]
[[[],[[[],[]],[[]]]]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1]
[[[],[[[[]]],[[]]]]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1]
[[[],[[[],[],[]],[]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1]
[[[],[[[[],[]]],[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,1,1,1]
[[[],[[[[[]]]],[]]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,1,1]
[[[],[[[],[],[],[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [4,1,1,1,1]
[[[],[[[],[[[]]]]]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1]
[[[],[[[[]],[],[]]]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [5,1,1,1]
[[[],[[[[],[]],[]]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [5,1,1,1]
[[[],[[[[],[],[]]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1]
[[[],[[[[],[[]]]]]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1]
[[[],[[[[[]],[]]]]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1]
[[[],[[[[[],[]]]]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1]
[[[],[[[[[[]]]]]]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1]
[[[[]],[],[],[],[],[]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,1,1,1,1,1]
[[[[]],[],[],[],[[]]]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,2,1,1,1]
[[[[]],[],[],[[]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,2,1,1,1]
[[[[]],[],[],[[],[]]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1]
[[[[]],[],[[]],[[]]]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1]
[[[[]],[],[[[],[]]]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1]
[[[[]],[],[[[[]]]]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1]
[[[[]],[[]],[],[],[]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [3,2,1,1,1]
[[[[]],[[]],[],[[]]]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1]
[[[[]],[[]],[[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1]
[[[[]],[[]],[[],[]]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1]
[[[[]],[[],[]],[],[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [3,2,1,1,1]
[[[[]],[[[]]],[[]]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2]
[[[[]],[[],[],[]],[]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1]
[[[[]],[[],[[]]],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1]
[[[[]],[[[]],[]],[]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1]
[[[[]],[[[],[]]],[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1]
[[[[]],[[[[]]]],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1]
[[[[]],[[],[],[],[]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1]
[[[[]],[[],[[]],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1]
[[[[]],[[],[[],[]]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1]
[[[[]],[[[],[[]]]]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1]
[[[[]],[[[[[]]]]]]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2]
[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,1,1,1,1,1]
[[[[[]]],[],[],[],[]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,1,1,1,1]
[[[[],[]],[],[],[[]]]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [3,2,1,1,1]
[[[[[]]],[],[],[[]]]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [4,2,1,1]
[[[[],[]],[],[[]],[]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [3,2,1,1,1]
[[[[[]]],[],[[]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [4,2,1,1]
[[[[],[]],[],[[],[]]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1]
[[[[],[]],[],[[[]]]]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1]
[[[[[]]],[],[[],[]]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1]
[[[[[]]],[],[[[]]]]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1]
[[[[],[]],[[]],[],[]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [3,2,1,1,1]
[[[[[]]],[[]],[[]]]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2]
[[[[],[]],[[],[]],[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,2,1,1,1]
[[[[[]]],[[[]]],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1]
[[[[],[]],[[[],[]]]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1]
[[[[],[]],[[[[]]]]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1]
[[[[[]]],[[[],[]]]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1]
[[[[[]]],[[[[]]]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3]
[[[[],[],[]],[],[],[]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,1,1,1,1,1]
[[[[],[[]]],[],[],[]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [4,1,1,1,1]
[[[[[]],[]],[],[],[]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [4,1,1,1,1]
[[[[[],[]]],[],[],[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [4,1,1,1,1]
[[[[[[]]]],[],[],[]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,1,1,1]
[[[[[],[]]],[],[[]]]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [4,2,1,1]
[[[[[[]]]],[],[[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,2,1]
[[[[],[],[]],[[]],[]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [3,2,1,1,1]
[[[[],[[]]],[[]],[]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1]
[[[[[]],[]],[[]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,2,1,1]
[[[[[[]]]],[[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,2,1]
[[[[],[],[]],[[],[]]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1]
[[[[],[[]]],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1]
[[[[[[]]]],[[],[]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1]
[[[[[[]]]],[[[]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3]
[[[[],[],[],[]],[],[]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [3,1,1,1,1,1]
[[[[],[],[[]]],[],[]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [4,1,1,1,1]
[[[[],[[]],[]],[],[]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [4,1,1,1,1]
[[[[],[[],[]]],[],[]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [4,1,1,1,1]
[[[[],[[[]]]],[],[]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [5,1,1,1]
[[[[[]],[],[]],[],[]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [4,1,1,1,1]
[[[[[[]]],[]],[],[]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [5,1,1,1]
[[[[[],[],[]]],[],[]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [4,1,1,1,1]
[[[[[[]],[]]],[],[]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [5,1,1,1]
[[[[[[[]]]]],[],[]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [6,1,1]
[[[[],[[],[]]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1]
[[[[],[[[]]]],[[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1]
[[[[[]],[[]]],[[]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2]
[[[[[],[]],[]],[[]]]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1]
[[[[[[]]],[]],[[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [5,2,1]
[[[[[],[],[]]],[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [4,2,1,1]
[[[[[],[[]]]],[[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1]
[[[[[[]],[]]],[[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [5,2,1]
[[[[[[[]]]]],[[]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,2]
[[[[],[],[],[],[]],[]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [3,1,1,1,1,1]
[[[[],[],[],[[]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [4,1,1,1,1]
[[[[],[],[[]],[]],[]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [4,1,1,1,1]
[[[[],[],[[],[]]],[]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [4,1,1,1,1]
[[[[],[],[[[]]]],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [5,1,1,1]
[[[[],[[]],[],[]],[]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [4,1,1,1,1]
[[[[],[[]],[[]]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,2,1,1]
[[[[],[[],[]],[]],[]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [4,1,1,1,1]
[[[[],[[[]]],[]],[]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [5,1,1,1]
[[[[],[[],[],[]]],[]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [4,1,1,1,1]
[[[[],[[],[[]]]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [5,1,1,1]
[[[[[]],[[]],[]],[]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [4,2,1,1]
[[[[[]],[[],[]]],[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [4,2,1,1]
[[[[[]],[[[]]]],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [5,2,1]
[[[[[],[]],[],[]],[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [4,1,1,1,1]
[[[[[[]]],[],[]],[]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [5,1,1,1]
[[[[[],[]],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [4,2,1,1]
[[[[[[]]],[[]]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [5,2,1]
[[[[[],[],[]],[]],[]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [4,1,1,1,1]
[[[[[],[[]]],[]],[]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [5,1,1,1]
[[[[[[]],[]],[]],[]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,1,1,1]
[[[[[[[]]]],[]],[]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,1,1]
[[[[[],[],[],[]]],[]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,1,1,1,1]
[[[[[],[[]],[]]],[]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [5,1,1,1]
[[[[[],[[],[]]]],[]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [5,1,1,1]
[[[[[],[[[]]]]],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [6,1,1]
[[[[[[],[[]]]]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [6,1,1]
[[[[[[[]],[]]]],[]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,1,1]
[[[[[[[],[]]]]],[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,1,1]
[[[[[[[[]]]]]],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,1]
[[[[],[],[],[],[],[]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [3,1,1,1,1,1]
[[[[],[],[],[],[[]]]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [4,1,1,1,1]
[[[[],[],[],[[]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [4,1,1,1,1]
[[[[],[],[],[[],[]]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1]
[[[[],[],[],[[[]]]]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [5,1,1,1]
[[[[],[],[[]],[],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [4,1,1,1,1]
[[[[],[],[[],[]],[]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [4,1,1,1,1]
[[[[],[],[[[]]],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1]
[[[[],[],[[],[],[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1]
[[[[],[],[[[[]]]]]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1]
[[[[],[[]],[],[],[]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [4,1,1,1,1]
[[[[],[[]],[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [4,2,1,1]
[[[[],[[]],[[],[]]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1]
[[[[],[[],[]],[],[]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [4,1,1,1,1]
[[[[],[[[]]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [5,1,1,1]
[[[[],[[],[],[]],[]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [4,1,1,1,1]
[[[[],[[],[[]]],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [5,1,1,1]
[[[[],[[[[]]]],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [6,1,1]
[[[[],[[],[],[],[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1]
[[[[],[[],[],[[]]]]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1]
[[[[],[[],[[]],[]]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1]
[[[[],[[],[[],[]]]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1]
[[[[],[[],[[[]]]]]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1]
[[[[],[[[],[]],[]]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [5,1,1,1]
[[[[],[[[[]]],[]]]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [6,1,1]
[[[[],[[[],[[]]]]]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1]
[[[[],[[[[]],[]]]]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [6,1,1]
[[[[],[[[[],[]]]]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [6,1,1]
[[[[],[[[[[]]]]]]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [7,1]
[[[[[]],[],[],[],[]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,1,1,1,1]
[[[[[]],[],[[]],[]]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [4,2,1,1]
[[[[[]],[[]],[],[]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [4,2,1,1]
[[[[[]],[[]],[[]]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2]
[[[[[]],[[[]]],[]]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [5,2,1]
[[[[[]],[[],[],[]]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1]
[[[[[]],[[[[]]]]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2]
[[[[[[]]],[],[],[]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [5,1,1,1]
[[[[[],[]],[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,2,1,1]
[[[[[[]]],[],[[]]]]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [5,2,1]
[[[[[],[]],[[]],[]]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [4,2,1,1]
[[[[[[]]],[[],[]]]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1]
[[[[[[]]],[[[]]]]]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3]
[[[[[[[]]]],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [6,1,1]
[[[[[],[],[]],[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [4,2,1,1]
[[[[[[],[]]],[[]]]]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [5,2,1]
[[[[[[[]]]],[[]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,2]
[[[[[],[],[],[]],[]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,1,1,1,1]
[[[[[],[[[]]]],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [6,1,1]
[[[[[[]],[],[]],[]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,1,1,1]
[[[[[[]],[[]]],[]]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [5,2,1]
[[[[[[[]]],[]],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [6,1,1]
[[[[[[],[],[]]],[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [5,1,1,1]
[[[[[[],[[]]]],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [6,1,1]
[[[[[[[],[]]]],[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [6,1,1]
[[[[[[[[]]]]],[]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,1]
[[[[[],[],[],[],[]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,1,1,1,1]
[[[[[],[],[],[[]]]]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [5,1,1,1]
[[[[[],[],[[]],[]]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [5,1,1,1]
[[[[[],[],[[[]]]]]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1]
[[[[[],[[]],[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [5,1,1,1]
[[[[[],[[]],[[]]]]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1]
[[[[[],[[],[]],[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [5,1,1,1]
[[[[[],[[[]]],[]]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [6,1,1]
[[[[[],[[],[[]]]]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1]
[[[[[],[[[]],[]]]]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [6,1,1]
[[[[[],[[[],[]]]]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [6,1,1]
[[[[[],[[[[]]]]]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [7,1]
[[[[[[]],[],[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [5,1,1,1]
[[[[[[]],[[]],[]]]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,2,1]
[[[[[[],[]],[],[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,1,1,1]
[[[[[[[]]],[],[]]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [6,1,1]
[[[[[[[]]],[[]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [6,2]
[[[[[[],[],[]],[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [5,1,1,1]
[[[[[[],[[]]],[]]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [6,1,1]
[[[[[[[]],[]],[]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,1,1]
[[[[[[[],[]]],[]]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [6,1,1]
[[[[[[[[]]]],[]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,1]
[[[[[[],[],[],[]]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,1,1,1]
[[[[[[],[],[[]]]]]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [6,1,1]
[[[[[[],[[]],[]]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [6,1,1]
[[[[[[],[[],[]]]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [6,1,1]
[[[[[[],[[[]]]]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [7,1]
[[[[[[[]],[],[]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,1,1]
[[[[[[[]],[[]]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [6,2]
[[[[[[[],[]],[]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [6,1,1]
[[[[[[[[]]],[]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,1]
[[[[[[[],[],[]]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,1,1]
[[[[[[[],[[]]]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [7,1]
[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,1]
[[[[[[[[],[]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,1]
[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8]
[[],[[],[[],[[],[[],[]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1]
[[],[[[[[],[]],[]],[]],[]]] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [5,1,1,1,1,1]
[[[[[[],[]],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [5,1,1,1,1,1]
Map
to binary tree: left brother = left child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
LLPS
Description
The Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
searching the database
Sorry, this map was not found in the database.