Identifier
Mp00050:
Ordered trees
—to binary tree: right brother = right child⟶
Binary trees
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Images
[[]] => [.,.] => [1] => [1]
[[],[]] => [.,[.,.]] => [2,1] => [1,1]
[[[]]] => [[.,.],.] => [1,2] => [2]
[[],[],[]] => [.,[.,[.,.]]] => [3,2,1] => [1,1,1]
[[],[[]]] => [.,[[.,.],.]] => [2,3,1] => [2,1]
[[[]],[]] => [[.,.],[.,.]] => [3,1,2] => [1,2]
[[[],[]]] => [[.,[.,.]],.] => [2,1,3] => [1,2]
[[[[]]]] => [[[.,.],.],.] => [1,2,3] => [3]
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,1,1,1]
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => [2,1,1]
[[],[[]],[]] => [.,[[.,.],[.,.]]] => [4,2,3,1] => [1,2,1]
[[],[[],[]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => [1,2,1]
[[],[[[]]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => [3,1]
[[[]],[],[]] => [[.,.],[.,[.,.]]] => [4,3,1,2] => [1,1,2]
[[[]],[[]]] => [[.,.],[[.,.],.]] => [3,4,1,2] => [2,2]
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [4,2,1,3] => [1,1,2]
[[[[]]],[]] => [[[.,.],.],[.,.]] => [4,1,2,3] => [1,3]
[[[],[],[]]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => [1,1,2]
[[[],[[]]]] => [[.,[[.,.],.]],.] => [2,3,1,4] => [2,2]
[[[[]],[]]] => [[[.,.],[.,.]],.] => [3,1,2,4] => [1,3]
[[[[],[]]]] => [[[.,[.,.]],.],.] => [2,1,3,4] => [1,3]
[[[[[]]]]] => [[[[.,.],.],.],.] => [1,2,3,4] => [4]
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,1,1,1,1]
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [2,1,1,1]
[[],[],[[]],[]] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,2,1,1]
[[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,1,1]
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,1,1]
[[],[[]],[],[]] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,1,2,1]
[[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [2,2,1]
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,1,2,1]
[[],[[[]]],[]] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,3,1]
[[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,1,2,1]
[[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [2,2,1]
[[],[[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [1,3,1]
[[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,1]
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [4,1]
[[[]],[],[],[]] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,1,1,2]
[[[]],[],[[]]] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,1,2]
[[[]],[[]],[]] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,2,2]
[[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [1,2,2]
[[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [3,2]
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [1,1,1,2]
[[[[]]],[],[]] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,1,3]
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,1,2]
[[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [2,3]
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [1,1,1,2]
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [1,2,2]
[[[[]],[]],[]] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,1,3]
[[[[],[]]],[]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [1,1,3]
[[[[[]]]],[]] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,4]
[[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,1,1,2]
[[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,1,2]
[[[],[[]],[]]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [1,2,2]
[[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,2,2]
[[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [3,2]
[[[[]],[],[]]] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [1,1,3]
[[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [2,3]
[[[[],[]],[]]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [1,1,3]
[[[[[]]],[]]] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [1,4]
[[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,1,3]
[[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3]
[[[[[]],[]]]] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [1,4]
[[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,4]
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5]
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,1,1,1,1,1]
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [2,1,1,1,1]
[[],[],[],[[]],[]] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,2,1,1,1]
[[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,1,1,1]
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [3,1,1,1]
[[],[],[[]],[],[]] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,1,2,1,1]
[[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [2,2,1,1]
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,1,2,1,1]
[[],[],[[[]]],[]] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,3,1,1]
[[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,1,2,1,1]
[[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [2,2,1,1]
[[],[],[[[]],[]]] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [1,3,1,1]
[[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,3,1,1]
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [4,1,1]
[[],[[]],[],[],[]] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,1,1,2,1]
[[],[[]],[],[[]]] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [2,1,2,1]
[[],[[]],[[]],[]] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,2,2,1]
[[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [1,2,2,1]
[[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [3,2,1]
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,1,1,2,1]
[[],[[[]]],[],[]] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,1,3,1]
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [2,1,2,1]
[[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [2,3,1]
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,1,1,2,1]
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,2,2,1]
[[],[[[]],[]],[]] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,1,3,1]
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,1,3,1]
[[],[[[[]]]],[]] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,4,1]
[[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,1,1,2,1]
[[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [2,1,2,1]
[[],[[],[[]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [1,2,2,1]
[[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,2,2,1]
[[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,2,1]
[[],[[[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [1,1,3,1]
[[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [2,3,1]
[[],[[[],[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [1,1,3,1]
[[],[[[[]]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [1,4,1]
>>> Load all 1905 entries. <<<
[[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,1,3,1]
[[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [2,3,1]
[[],[[[[]],[]]]] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [1,4,1]
[[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,4,1]
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [5,1]
[[[]],[],[],[],[]] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,1,1,1,2]
[[[]],[],[],[[]]] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,1,1,2]
[[[]],[],[[]],[]] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,2,1,2]
[[[]],[],[[],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [1,2,1,2]
[[[]],[],[[[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [3,1,2]
[[[]],[[]],[],[]] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,1,2,2]
[[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,2,2]
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,1,2,2]
[[[]],[[[]]],[]] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,3,2]
[[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [1,1,2,2]
[[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,2,2]
[[[]],[[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [1,3,2]
[[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [1,3,2]
[[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [4,2]
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [1,1,1,1,2]
[[[[]]],[],[],[]] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,1,1,3]
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,1,1,2]
[[[[]]],[],[[]]] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [2,1,3]
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [1,2,1,2]
[[[[]]],[[]],[]] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,2,3]
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [1,2,1,2]
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,2]
[[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [1,2,3]
[[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [3,3]
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [1,1,1,1,2]
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [1,1,2,2]
[[[[]],[]],[],[]] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,1,1,3]
[[[[],[]]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [1,1,1,3]
[[[[[]]]],[],[]] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,1,4]
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [2,1,1,2]
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [2,2,2]
[[[[]],[]],[[]]] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [2,1,3]
[[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,1,3]
[[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [2,4]
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [1,1,1,1,2]
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [1,2,1,2]
[[[],[[]],[]],[]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [1,1,2,2]
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [1,1,2,2]
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [1,3,2]
[[[[]],[],[]],[]] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,1,1,3]
[[[[]],[[]]],[]] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,2,3]
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [1,1,1,3]
[[[[[]]],[]],[]] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,1,4]
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [1,1,1,3]
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [1,2,3]
[[[[[]],[]]],[]] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,1,4]
[[[[[],[]]]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [1,1,4]
[[[[[[]]]]],[]] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,5]
[[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,1,1,1,2]
[[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [2,1,1,2]
[[[],[],[[]],[]]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [1,2,1,2]
[[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,2,1,2]
[[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,1,2]
[[[],[[]],[],[]]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [1,1,2,2]
[[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [2,2,2]
[[[],[[],[]],[]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [1,1,2,2]
[[[],[[[]]],[]]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [1,3,2]
[[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,1,2,2]
[[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [2,2,2]
[[[],[[[]],[]]]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [1,3,2]
[[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,3,2]
[[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [4,2]
[[[[]],[],[],[]]] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [1,1,1,3]
[[[[]],[],[[]]]] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [2,1,3]
[[[[]],[[]],[]]] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [1,2,3]
[[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [1,2,3]
[[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [3,3]
[[[[],[]],[],[]]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [1,1,1,3]
[[[[[]]],[],[]]] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [1,1,4]
[[[[],[]],[[]]]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [2,1,3]
[[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [2,4]
[[[[],[],[]],[]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [1,1,1,3]
[[[[],[[]]],[]]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [1,2,3]
[[[[[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [1,1,4]
[[[[[],[]]],[]]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [1,1,4]
[[[[[[]]]],[]]] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [1,5]
[[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,1,1,3]
[[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,1,3]
[[[[],[[]],[]]]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [1,2,3]
[[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,2,3]
[[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [3,3]
[[[[[]],[],[]]]] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [1,1,4]
[[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [2,4]
[[[[[],[]],[]]]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [1,1,4]
[[[[[[]]],[]]]] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [1,5]
[[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,1,4]
[[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,4]
[[[[[[]],[]]]]] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [1,5]
[[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,5]
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6]
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1]
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [2,1,1,1,1,1]
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,2,1,1,1,1]
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,1,1,1,1]
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [3,1,1,1,1]
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,1,2,1,1,1]
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [2,2,1,1,1]
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,1,2,1,1,1]
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,3,1,1,1]
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,1,2,1,1,1]
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [2,2,1,1,1]
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [1,3,1,1,1]
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,3,1,1,1]
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,1,1,1]
[[],[],[[]],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1]
[[],[],[[]],[],[[]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [2,1,2,1,1]
[[],[],[[]],[[]],[]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,2,2,1,1]
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [1,2,2,1,1]
[[],[],[[]],[[[]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [3,2,1,1]
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,1,1,2,1,1]
[[],[],[[[]]],[],[]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,1,3,1,1]
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [2,1,2,1,1]
[[],[],[[[]]],[[]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [2,3,1,1]
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,1,1,2,1,1]
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,2,2,1,1]
[[],[],[[[]],[]],[]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,1,3,1,1]
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,1,3,1,1]
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,4,1,1]
[[],[],[[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,1,1,2,1,1]
[[],[],[[],[],[[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [2,1,2,1,1]
[[],[],[[],[[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [1,2,2,1,1]
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,2,1,1]
[[],[],[[],[[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [3,2,1,1]
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [1,1,3,1,1]
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [2,3,1,1]
[[],[],[[[],[]],[]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [1,1,3,1,1]
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [1,4,1,1]
[[],[],[[[],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,1,3,1,1]
[[],[],[[[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [2,3,1,1]
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [1,4,1,1]
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,4,1,1]
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [5,1,1]
[[],[[]],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,1,1,1,2,1]
[[],[[]],[],[],[[]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [2,1,1,2,1]
[[],[[]],[],[[]],[]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,2,1,2,1]
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [1,2,1,2,1]
[[],[[]],[],[[[]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [3,1,2,1]
[[],[[]],[[]],[],[]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,1,2,2,1]
[[],[[]],[[]],[[]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [2,2,2,1]
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,1,2,2,1]
[[],[[]],[[[]]],[]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,3,2,1]
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [1,1,2,2,1]
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [2,2,2,1]
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [1,3,2,1]
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [1,3,2,1]
[[],[[]],[[[[]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [4,2,1]
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,1,1,1,2,1]
[[],[[[]]],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,1,1,3,1]
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [2,1,1,2,1]
[[],[[[]]],[],[[]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [2,1,3,1]
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,2,1,2,1]
[[],[[[]]],[[]],[]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,2,3,1]
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [1,2,1,2,1]
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [3,1,2,1]
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [1,2,3,1]
[[],[[[]]],[[[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [3,3,1]
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,1,1,1,2,1]
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,1,2,2,1]
[[],[[[]],[]],[],[]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,1,1,3,1]
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,1,1,3,1]
[[],[[[[]]]],[],[]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,1,4,1]
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [2,1,1,2,1]
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [2,2,2,1]
[[],[[[]],[]],[[]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [2,1,3,1]
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [2,1,3,1]
[[],[[[[]]]],[[]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [2,4,1]
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,1,1,1,2,1]
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,2,1,2,1]
[[],[[],[[]],[]],[]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,1,2,2,1]
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,1,2,2,1]
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,3,2,1]
[[],[[[]],[],[]],[]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,1,1,3,1]
[[],[[[]],[[]]],[]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,2,3,1]
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,1,1,3,1]
[[],[[[[]]],[]],[]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,1,4,1]
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,1,1,3,1]
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,2,3,1]
[[],[[[[]],[]]],[]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,1,4,1]
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,1,4,1]
[[],[[[[[]]]]],[]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,5,1]
[[],[[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,1,1,1,2,1]
[[],[[],[],[],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [2,1,1,2,1]
[[],[[],[],[[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [1,2,1,2,1]
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,2,1,2,1]
[[],[[],[],[[[]]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [3,1,2,1]
[[],[[],[[]],[],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [1,1,2,2,1]
[[],[[],[[]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [2,2,2,1]
[[],[[],[[],[]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [1,1,2,2,1]
[[],[[],[[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [1,3,2,1]
[[],[[],[[],[],[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,1,2,2,1]
[[],[[],[[],[[]]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [2,2,2,1]
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [1,3,2,1]
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,3,2,1]
[[],[[],[[[[]]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [4,2,1]
[[],[[[]],[],[],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [1,1,1,3,1]
[[],[[[]],[],[[]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [2,1,3,1]
[[],[[[]],[[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [1,2,3,1]
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [1,2,3,1]
[[],[[[]],[[[]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [3,3,1]
[[],[[[],[]],[],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [1,1,1,3,1]
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [1,1,4,1]
[[],[[[],[]],[[]]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [2,1,3,1]
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [2,4,1]
[[],[[[],[],[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [1,1,1,3,1]
[[],[[[],[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [1,2,3,1]
[[],[[[[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [1,1,4,1]
[[],[[[[],[]]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [1,1,4,1]
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [1,5,1]
[[],[[[],[],[],[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,1,1,3,1]
[[],[[[],[],[[]]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [2,1,3,1]
[[],[[[],[[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [1,2,3,1]
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,2,3,1]
[[],[[[],[[[]]]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,3,1]
[[],[[[[]],[],[]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [1,1,4,1]
[[],[[[[]],[[]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [2,4,1]
[[],[[[[],[]],[]]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [1,1,4,1]
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [1,5,1]
[[],[[[[],[],[]]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,1,4,1]
[[],[[[[],[[]]]]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [2,4,1]
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [1,5,1]
[[],[[[[[],[]]]]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,5,1]
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [6,1]
[[[]],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,1,1,1,1,2]
[[[]],[],[],[],[[]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,1,1,1,2]
[[[]],[],[],[[]],[]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,2,1,1,2]
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [1,2,1,1,2]
[[[]],[],[],[[[]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [3,1,1,2]
[[[]],[],[[]],[],[]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,1,2,1,2]
[[[]],[],[[]],[[]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,2,1,2]
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,1,2,1,2]
[[[]],[],[[[]]],[]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,3,1,2]
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [1,1,2,1,2]
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,2,1,2]
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [1,3,1,2]
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [1,3,1,2]
[[[]],[],[[[[]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [4,1,2]
[[[]],[[]],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,1,1,2,2]
[[[]],[[]],[],[[]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,1,2,2]
[[[]],[[]],[[]],[]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,2,2,2]
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [1,2,2,2]
[[[]],[[]],[[[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [3,2,2]
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,1,1,2,2]
[[[]],[[[]]],[],[]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,1,3,2]
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,1,2,2]
[[[]],[[[]]],[[]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,3,2]
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,1,1,2,2]
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,2,2,2]
[[[]],[[[]],[]],[]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,1,3,2]
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,1,3,2]
[[[]],[[[[]]]],[]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,4,2]
[[[]],[[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [1,1,1,2,2]
[[[]],[[],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,1,2,2]
[[[]],[[],[[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [1,2,2,2]
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [1,2,2,2]
[[[]],[[],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [3,2,2]
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [1,1,3,2]
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,3,2]
[[[]],[[[],[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [1,1,3,2]
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [1,4,2]
[[[]],[[[],[],[]]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [1,1,3,2]
[[[]],[[[],[[]]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,3,2]
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [1,4,2]
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [1,4,2]
[[[]],[[[[[]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [5,2]
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [1,1,1,1,1,2]
[[[[]]],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,1,1,1,3]
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,1,1,1,2]
[[[[]]],[],[],[[]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [2,1,1,3]
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [1,2,1,1,2]
[[[[]]],[],[[]],[]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,2,1,3]
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [1,2,1,1,2]
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,1,2]
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [1,2,1,3]
[[[[]]],[],[[[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [3,1,3]
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [1,1,2,1,2]
[[[[]]],[[]],[],[]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,1,2,3]
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,2,1,2]
[[[[]]],[[]],[[]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [2,2,3]
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [1,1,2,1,2]
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [1,3,1,2]
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,1,2,3]
[[[[]]],[[[]]],[]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,3,3]
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [1,1,2,1,2]
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [2,2,1,2]
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [1,3,1,2]
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [1,3,1,2]
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [4,1,2]
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [1,1,2,3]
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [2,2,3]
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [1,3,3]
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [1,3,3]
[[[[]]],[[[[]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [4,3]
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [1,1,1,1,1,2]
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [1,1,1,2,2]
[[[[]],[]],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,1,1,1,3]
[[[[],[]]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [1,1,1,1,3]
[[[[[]]]],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,1,1,4]
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [2,1,1,1,2]
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [2,1,2,2]
[[[[]],[]],[],[[]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [2,1,1,3]
[[[[],[]]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,1,1,3]
[[[[[]]]],[],[[]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [2,1,4]
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [1,2,1,1,2]
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [1,2,2,2]
[[[[]],[]],[[]],[]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,2,1,3]
[[[[],[]]],[[]],[]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [1,2,1,3]
[[[[[]]]],[[]],[]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,2,4]
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [1,2,1,1,2]
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [3,1,1,2]
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [1,2,2,2]
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [3,2,2]
[[[[]],[]],[[],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [1,2,1,3]
[[[[]],[]],[[[]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [3,1,3]
[[[[],[]]],[[],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [1,2,1,3]
[[[[],[]]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [3,1,3]
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [1,2,4]
[[[[[]]]],[[[]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [3,4]
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [1,1,1,1,1,2]
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [1,1,2,1,2]
[[[],[[]],[]],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [1,1,1,2,2]
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [1,1,1,2,2]
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [1,1,3,2]
[[[[]],[],[]],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,1,1,1,3]
[[[[]],[[]]],[],[]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,1,2,3]
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [1,1,1,1,3]
[[[[[]]],[]],[],[]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,1,1,4]
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [1,1,1,1,3]
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [1,1,2,3]
[[[[[]],[]]],[],[]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,1,1,4]
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [1,1,1,4]
[[[[[[]]]]],[],[]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,1,5]
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [2,1,1,1,2]
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [2,2,1,2]
[[[],[[]],[]],[[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [2,1,2,2]
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [2,1,2,2]
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [2,3,2]
[[[[]],[],[]],[[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [2,1,1,3]
[[[[]],[[]]],[[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [2,2,3]
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,1,1,3]
[[[[[]]],[]],[[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [2,1,4]
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [2,1,1,3]
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [2,2,3]
[[[[[]],[]]],[[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [2,1,4]
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,1,4]
[[[[[[]]]]],[[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [2,5]
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [1,1,1,1,1,2]
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [1,2,1,1,2]
[[[],[],[[]],[]],[]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [1,1,2,1,2]
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [1,1,2,1,2]
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [1,3,1,2]
[[[],[[]],[],[]],[]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [1,1,1,2,2]
[[[],[[]],[[]]],[]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [1,2,2,2]
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [1,1,1,2,2]
[[[],[[[]]],[]],[]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [1,1,3,2]
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [1,1,1,2,2]
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [1,2,2,2]
[[[],[[[]],[]]],[]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [1,1,3,2]
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [1,1,3,2]
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [1,4,2]
[[[[]],[],[],[]],[]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,1,1,1,3]
[[[[]],[],[[]]],[]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,2,1,3]
[[[[]],[[]],[]],[]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,1,2,3]
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,1,2,3]
[[[[]],[[[]]]],[]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,3,3]
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [1,1,1,1,3]
[[[[[]]],[],[]],[]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,1,1,4]
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [1,2,1,3]
[[[[[]]],[[]]],[]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,2,4]
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [1,1,1,1,3]
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [1,1,2,3]
[[[[[]],[]],[]],[]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,1,1,4]
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [1,1,1,4]
[[[[[[]]]],[]],[]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,1,5]
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [1,1,1,1,3]
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [1,2,1,3]
[[[[],[[]],[]]],[]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [1,1,2,3]
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [1,1,2,3]
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [1,3,3]
[[[[[]],[],[]]],[]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,1,1,4]
[[[[[]],[[]]]],[]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,2,4]
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [1,1,1,4]
[[[[[[]]],[]]],[]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,1,5]
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [1,1,1,4]
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [1,2,4]
[[[[[[]],[]]]],[]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,1,5]
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [1,1,5]
[[[[[[[]]]]]],[]] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,6]
[[[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2]
[[[],[],[],[],[[]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [2,1,1,1,2]
[[[],[],[],[[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [1,2,1,1,2]
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [1,2,1,1,2]
[[[],[],[],[[[]]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [3,1,1,2]
[[[],[],[[]],[],[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [1,1,2,1,2]
[[[],[],[[]],[[]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [2,2,1,2]
[[[],[],[[],[]],[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [1,1,2,1,2]
[[[],[],[[[]]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [1,3,1,2]
[[[],[],[[],[],[]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [1,1,2,1,2]
[[[],[],[[],[[]]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [2,2,1,2]
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [1,3,1,2]
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [1,3,1,2]
[[[],[],[[[[]]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [4,1,2]
[[[],[[]],[],[],[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [1,1,1,2,2]
[[[],[[]],[],[[]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [2,1,2,2]
[[[],[[]],[[]],[]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [1,2,2,2]
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [1,2,2,2]
[[[],[[]],[[[]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [3,2,2]
[[[],[[],[]],[],[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [1,1,1,2,2]
[[[],[[[]]],[],[]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [1,1,3,2]
[[[],[[],[]],[[]]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [2,1,2,2]
[[[],[[[]]],[[]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [2,3,2]
[[[],[[],[],[]],[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [1,1,1,2,2]
[[[],[[],[[]]],[]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [1,2,2,2]
[[[],[[[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [1,1,3,2]
[[[],[[[],[]]],[]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [1,1,3,2]
[[[],[[[[]]]],[]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [1,4,2]
[[[],[[],[],[],[]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [1,1,1,2,2]
[[[],[[],[],[[]]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [2,1,2,2]
[[[],[[],[[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [1,2,2,2]
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [1,2,2,2]
[[[],[[],[[[]]]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,2,2]
[[[],[[[]],[],[]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [1,1,3,2]
[[[],[[[]],[[]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [2,3,2]
[[[],[[[],[]],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [1,1,3,2]
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [1,4,2]
[[[],[[[],[],[]]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [1,1,3,2]
[[[],[[[],[[]]]]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [2,3,2]
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [1,4,2]
[[[],[[[[],[]]]]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,4,2]
[[[],[[[[[]]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [5,2]
[[[[]],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [1,1,1,1,3]
[[[[]],[],[],[[]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [2,1,1,3]
[[[[]],[],[[]],[]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [1,2,1,3]
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [1,2,1,3]
[[[[]],[],[[[]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [3,1,3]
[[[[]],[[]],[],[]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [1,1,2,3]
[[[[]],[[]],[[]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [2,2,3]
[[[[]],[[],[]],[]]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [1,1,2,3]
[[[[]],[[[]]],[]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [1,3,3]
[[[[]],[[],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [1,1,2,3]
[[[[]],[[],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [2,2,3]
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [1,3,3]
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [1,3,3]
[[[[]],[[[[]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [4,3]
[[[[],[]],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [1,1,1,1,3]
[[[[[]]],[],[],[]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [1,1,1,4]
[[[[],[]],[],[[]]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [2,1,1,3]
[[[[[]]],[],[[]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [2,1,4]
[[[[],[]],[[]],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [1,2,1,3]
[[[[[]]],[[]],[]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [1,2,4]
[[[[],[]],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [1,2,1,3]
[[[[],[]],[[[]]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [3,1,3]
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [1,2,4]
[[[[[]]],[[[]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [3,4]
[[[[],[],[]],[],[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [1,1,1,1,3]
[[[[],[[]]],[],[]]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [1,1,2,3]
[[[[[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [1,1,1,4]
[[[[[],[]]],[],[]]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [1,1,1,4]
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [1,1,5]
[[[[],[],[]],[[]]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [2,1,1,3]
[[[[],[[]]],[[]]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [2,2,3]
[[[[[]],[]],[[]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [2,1,4]
[[[[[],[]]],[[]]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [2,1,4]
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [2,5]
[[[[],[],[],[]],[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [1,1,1,1,3]
[[[[],[],[[]]],[]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [1,2,1,3]
[[[[],[[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [1,1,2,3]
[[[[],[[],[]]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [1,1,2,3]
[[[[],[[[]]]],[]]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [1,3,3]
[[[[[]],[],[]],[]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [1,1,1,4]
[[[[[]],[[]]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [1,2,4]
[[[[[],[]],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [1,1,1,4]
[[[[[[]]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [1,1,5]
[[[[[],[],[]]],[]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [1,1,1,4]
[[[[[],[[]]]],[]]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [1,2,4]
[[[[[[]],[]]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [1,1,5]
[[[[[[],[]]]],[]]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [1,1,5]
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [1,6]
[[[[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [1,1,1,1,3]
[[[[],[],[],[[]]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [2,1,1,3]
[[[[],[],[[]],[]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [1,2,1,3]
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [1,2,1,3]
[[[[],[],[[[]]]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,1,3]
[[[[],[[]],[],[]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [1,1,2,3]
[[[[],[[]],[[]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [2,2,3]
[[[[],[[],[]],[]]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [1,1,2,3]
[[[[],[[[]]],[]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [1,3,3]
[[[[],[[],[],[]]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [1,1,2,3]
[[[[],[[],[[]]]]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [2,2,3]
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [1,3,3]
[[[[],[[[],[]]]]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,3,3]
[[[[],[[[[]]]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [4,3]
[[[[[]],[],[],[]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [1,1,1,4]
[[[[[]],[],[[]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [2,1,4]
[[[[[]],[[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [1,2,4]
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [1,2,4]
[[[[[]],[[[]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [3,4]
[[[[[],[]],[],[]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [1,1,1,4]
[[[[[[]]],[],[]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [1,1,5]
[[[[[],[]],[[]]]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [2,1,4]
[[[[[[]]],[[]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [2,5]
[[[[[],[],[]],[]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [1,1,1,4]
[[[[[],[[]]],[]]]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [1,2,4]
[[[[[[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [1,1,5]
[[[[[[],[]]],[]]]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [1,1,5]
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [1,6]
[[[[[],[],[],[]]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [1,1,1,4]
[[[[[],[],[[]]]]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,1,4]
[[[[[],[[]],[]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [1,2,4]
[[[[[],[[],[]]]]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,2,4]
[[[[[],[[[]]]]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [3,4]
[[[[[[]],[],[]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [1,1,5]
[[[[[[]],[[]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [2,5]
[[[[[[],[]],[]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [1,1,5]
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [1,6]
[[[[[[],[],[]]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,1,5]
[[[[[[],[[]]]]]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,5]
[[[[[[[]],[]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [1,6]
[[[[[[[],[]]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,6]
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7]
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1]
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1]
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [1,2,1,1,1,1,1]
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,1,1,1,1,1]
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [3,1,1,1,1,1]
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [1,1,2,1,1,1,1]
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [2,2,1,1,1,1]
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [1,1,2,1,1,1,1]
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [1,3,1,1,1,1]
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,1,2,1,1,1,1]
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [2,2,1,1,1,1]
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [1,3,1,1,1,1]
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [1,3,1,1,1,1]
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [4,1,1,1,1]
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1]
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [2,1,2,1,1,1]
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [1,2,2,1,1,1]
[[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [1,2,2,1,1,1]
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [3,2,1,1,1]
[[],[],[],[[],[]],[],[]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [1,1,1,2,1,1,1]
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [1,1,3,1,1,1]
[[],[],[],[[],[]],[[]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [2,1,2,1,1,1]
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [2,3,1,1,1]
[[],[],[],[[],[],[]],[]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [1,1,1,2,1,1,1]
[[],[],[],[[],[[]]],[]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [1,2,2,1,1,1]
[[],[],[],[[[]],[]],[]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [1,1,3,1,1,1]
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [1,1,3,1,1,1]
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [1,4,1,1,1]
[[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,1,1,2,1,1,1]
[[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [2,1,2,1,1,1]
[[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [1,2,2,1,1,1]
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [1,2,2,1,1,1]
[[],[],[],[[],[[[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [3,2,1,1,1]
[[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [1,1,3,1,1,1]
[[],[],[],[[[]],[[]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [2,3,1,1,1]
[[],[],[],[[[],[]],[]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [1,1,3,1,1,1]
[[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [1,4,1,1,1]
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [1,1,3,1,1,1]
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [2,3,1,1,1]
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [1,4,1,1,1]
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [1,4,1,1,1]
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [5,1,1,1]
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1]
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [2,1,1,2,1,1]
[[],[],[[]],[],[[]],[]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [1,2,1,2,1,1]
[[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [1,2,1,2,1,1]
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [3,1,2,1,1]
[[],[],[[]],[[]],[],[]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,1,2,2,1,1]
[[],[],[[]],[[]],[[]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [2,2,2,1,1]
[[],[],[[]],[[],[]],[]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [1,1,2,2,1,1]
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [1,3,2,1,1]
[[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [1,1,2,2,1,1]
[[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [2,2,2,1,1]
[[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [1,3,2,1,1]
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [4,2,1,1]
[[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [1,1,1,1,2,1,1]
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1]
[[],[],[[],[]],[],[[]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [2,1,1,2,1,1]
[[],[],[[[]]],[],[[]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [2,1,3,1,1]
[[],[],[[],[]],[[]],[]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [1,2,1,2,1,1]
[[],[],[[[]]],[[]],[]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [1,2,3,1,1]
[[],[],[[],[]],[[],[]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [1,2,1,2,1,1]
[[],[],[[],[]],[[[]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [3,1,2,1,1]
[[],[],[[[]]],[[],[]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [1,2,3,1,1]
[[],[],[[[]]],[[[]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [3,3,1,1]
[[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1]
[[],[],[[],[[]]],[],[]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [1,1,2,2,1,1]
[[],[],[[[]],[]],[],[]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [1,1,1,3,1,1]
[[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [1,1,1,3,1,1]
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1]
[[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [2,1,1,2,1,1]
[[],[],[[[]],[]],[[]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [2,1,3,1,1]
[[],[],[[[],[]]],[[]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [2,1,3,1,1]
[[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [2,4,1,1]
[[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [1,1,1,1,2,1,1]
[[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [1,2,1,2,1,1]
[[],[],[[],[[]],[]],[]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [1,1,2,2,1,1]
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [1,1,2,2,1,1]
[[],[],[[[]],[[]]],[]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [1,2,3,1,1]
[[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [1,1,1,3,1,1]
[[],[],[[[[]]],[]],[]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [8,6,3,4,5,7,2,1] => [1,1,4,1,1]
[[],[],[[[],[],[]]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [1,1,1,3,1,1]
[[],[],[[[[]],[]]],[]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [1,1,4,1,1]
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [1,1,4,1,1]
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [1,5,1,1]
[[],[],[[],[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [1,1,1,1,2,1,1]
[[],[],[[],[],[],[[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [2,1,1,2,1,1]
[[],[],[[],[],[[]],[]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [1,2,1,2,1,1]
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [1,2,1,2,1,1]
[[],[],[[],[],[[[]]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [3,1,2,1,1]
[[],[],[[],[[]],[],[]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [1,1,2,2,1,1]
[[],[],[[],[[]],[[]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [2,2,2,1,1]
[[],[],[[],[[],[]],[]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [1,1,2,2,1,1]
[[],[],[[],[[[]]],[]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [1,3,2,1,1]
[[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,1,2,2,1,1]
[[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [2,2,2,1,1]
[[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [1,3,2,1,1]
[[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,3,2,1,1]
[[],[],[[],[[[[]]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,2,1,1]
[[],[],[[[]],[],[],[]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [1,1,1,3,1,1]
[[],[],[[[]],[],[[]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [6,7,5,3,4,8,2,1] => [2,1,3,1,1]
[[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [1,2,3,1,1]
[[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [3,3,1,1]
[[],[],[[[],[]],[],[]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [1,1,1,3,1,1]
[[],[],[[[[]]],[],[]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [1,1,4,1,1]
[[],[],[[[],[],[]],[]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [1,1,1,3,1,1]
[[],[],[[[[]],[]],[]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [1,1,4,1,1]
[[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [1,5,1,1]
[[],[],[[[],[],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [1,1,1,3,1,1]
[[],[],[[[],[],[[]]]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [2,1,3,1,1]
[[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1] => [1,2,3,1,1]
[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [3,3,1,1]
[[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [1,1,4,1,1]
[[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [6,4,3,5,7,8,2,1] => [1,1,4,1,1]
[[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [1,5,1,1]
[[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,1,4,1,1]
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [2,4,1,1]
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [1,5,1,1]
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [1,5,1,1]
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [6,1,1]
[[],[[]],[],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,2,1]
[[],[[]],[],[],[],[[]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [2,1,1,1,2,1]
[[],[[]],[],[],[[]],[]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,2,1,1,2,1]
[[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [1,2,1,1,2,1]
[[],[[]],[],[[]],[],[]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [1,1,2,1,2,1]
[[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [1,1,2,1,2,1]
[[],[[]],[],[[[]]],[]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [1,3,1,2,1]
[[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [1,1,2,1,2,1]
[[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [2,2,1,2,1]
[[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [1,3,1,2,1]
[[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,2,3,1] => [1,3,1,2,1]
[[],[[]],[],[[[[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [4,1,2,1]
[[],[[]],[[]],[],[],[]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [1,1,1,2,2,1]
[[],[[]],[[]],[],[[]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [2,1,2,2,1]
[[],[[]],[[]],[[]],[]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [1,2,2,2,1]
[[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [1,2,2,2,1]
[[],[[]],[[]],[[[]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [3,2,2,1]
[[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [1,1,1,2,2,1]
[[],[[]],[[[]]],[],[]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [1,1,3,2,1]
[[],[[]],[[[]]],[[]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [2,3,2,1]
[[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [1,1,1,2,2,1]
[[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [1,2,2,2,1]
[[],[[]],[[[]],[]],[]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [1,1,3,2,1]
[[],[[]],[[[[]]]],[]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [1,4,2,1]
[[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [1,1,1,2,2,1]
[[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,2,3,1] => [2,1,2,2,1]
[[],[[]],[[],[[]],[]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [1,2,2,2,1]
[[],[[]],[[],[[],[]]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [1,2,2,2,1]
[[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,2,3,1] => [3,2,2,1]
[[],[[]],[[[]],[],[]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [1,1,3,2,1]
[[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [2,3,2,1]
[[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [1,1,3,2,1]
[[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [1,4,2,1]
[[],[[]],[[[],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,2,3,1] => [1,1,3,2,1]
[[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [2,3,2,1]
[[],[[]],[[[[]],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,2,3,1] => [1,4,2,1]
[[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [1,4,2,1]
[[],[[]],[[[[[]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [5,2,1]
[[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,2,1]
[[],[[[]]],[],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [1,1,1,1,3,1]
[[],[[],[]],[],[],[[]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [2,1,1,1,2,1]
[[],[[],[]],[],[[]],[]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [1,2,1,1,2,1]
[[],[[[]]],[],[[]],[]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [1,2,1,3,1]
[[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [1,2,1,1,2,1]
[[],[[],[]],[],[[[]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [3,1,1,2,1]
[[],[[[]]],[],[[],[]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [1,2,1,3,1]
[[],[[[]]],[],[[[]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [3,1,3,1]
[[],[[],[]],[[]],[],[]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [1,1,2,1,2,1]
[[],[[[]]],[[]],[],[]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [1,1,2,3,1]
[[],[[],[]],[[]],[[]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [2,2,1,2,1]
[[],[[[]]],[[]],[[]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [2,2,3,1]
[[],[[],[]],[[],[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,1,2,1,2,1]
[[],[[],[]],[[[]]],[]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [1,3,1,2,1]
[[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [1,1,2,3,1]
[[],[[[]]],[[[]]],[]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,3,3,1]
[[],[[],[]],[[],[],[]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [1,1,2,1,2,1]
[[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [2,2,1,2,1]
[[],[[],[]],[[[]],[]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [1,3,1,2,1]
[[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [1,3,1,2,1]
[[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [4,1,2,1]
[[],[[[]]],[[],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [1,1,2,3,1]
[[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [2,2,3,1]
[[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [1,3,3,1]
[[],[[[]]],[[[[]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [4,3,1]
[[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [1,1,1,1,1,2,1]
[[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [1,1,1,2,2,1]
[[],[[[]],[]],[],[],[]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [1,1,1,1,3,1]
[[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [1,1,1,1,3,1]
[[],[[[[]]]],[],[],[]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [1,1,1,4,1]
[[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [2,1,1,1,2,1]
[[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [2,1,2,2,1]
[[],[[[]],[]],[],[[]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [2,1,1,3,1]
[[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [2,1,1,3,1]
[[],[[[[]]]],[],[[]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [2,1,4,1]
[[],[[],[],[]],[[]],[]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [1,2,1,1,2,1]
[[],[[],[[]]],[[]],[]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [1,2,2,2,1]
[[],[[[]],[]],[[]],[]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [1,2,1,3,1]
[[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [1,2,1,3,1]
[[],[[[[]]]],[[]],[]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [1,2,4,1]
[[],[[],[],[]],[[],[]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [1,2,1,1,2,1]
[[],[[],[],[]],[[[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [3,1,1,2,1]
[[],[[],[[]]],[[],[]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [1,2,2,2,1]
[[],[[],[[]]],[[[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [3,2,2,1]
[[],[[[]],[]],[[],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [1,2,1,3,1]
[[],[[[]],[]],[[[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [3,1,3,1]
[[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [3,1,3,1]
[[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [1,2,4,1]
[[],[[[[]]]],[[[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [3,4,1]
[[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [1,1,1,1,1,2,1]
[[],[[],[[]],[]],[],[]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [1,1,1,2,2,1]
[[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [1,1,1,2,2,1]
[[],[[[]],[],[]],[],[]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [1,1,1,1,3,1]
[[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [1,1,1,1,3,1]
[[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [1,1,1,1,3,1]
[[],[[[],[[]]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [8,7,3,4,2,5,6,1] => [1,1,2,3,1]
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [1,1,5,1]
[[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [2,1,1,1,2,1]
[[],[[],[[]],[]],[[]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [2,1,2,2,1]
[[],[[],[[],[]]],[[]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [2,1,2,2,1]
[[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [2,3,2,1]
[[],[[[]],[],[]],[[]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [2,1,1,3,1]
[[],[[[]],[[]]],[[]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [7,8,4,5,2,3,6,1] => [2,2,3,1]
[[],[[[[]]],[]],[[]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [2,1,4,1]
[[],[[[],[],[]]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [2,1,1,3,1]
[[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [2,2,3,1]
[[],[[[[]],[]]],[[]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [2,1,4,1]
[[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [2,1,4,1]
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [2,5,1]
[[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1]
[[],[[],[],[],[[]]],[]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [1,2,1,1,2,1]
[[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [1,1,2,1,2,1]
[[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [1,1,2,1,2,1]
[[],[[],[[]],[],[]],[]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [1,1,1,2,2,1]
[[],[[],[[]],[[]]],[]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [1,2,2,2,1]
[[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [1,1,1,2,2,1]
[[],[[],[[[]]],[]],[]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [1,1,3,2,1]
[[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [1,1,1,2,2,1]
[[],[[],[[],[[]]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [1,2,2,2,1]
[[],[[],[[[]],[]]],[]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [1,1,3,2,1]
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [1,1,3,2,1]
[[],[[],[[[[]]]]],[]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [1,4,2,1]
[[],[[[]],[],[],[]],[]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [1,1,1,1,3,1]
[[],[[[]],[],[[]]],[]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [1,2,1,3,1]
[[],[[[]],[[]],[]],[]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [1,1,2,3,1]
[[],[[[]],[[],[]]],[]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [1,1,2,3,1]
[[],[[[],[]],[],[]],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [1,1,1,1,3,1]
[[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [1,1,1,1,3,1]
[[],[[[[]],[]],[]],[]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [1,1,1,4,1]
[[],[[[[[]]]],[]],[]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [1,1,5,1]
[[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [1,1,1,1,3,1]
[[],[[[],[],[[]]]],[]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [1,2,1,3,1]
[[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [1,1,2,3,1]
[[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [8,4,3,5,2,6,7,1] => [1,1,2,3,1]
[[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [1,3,3,1]
[[],[[[[]],[],[]]],[]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [1,1,1,4,1]
[[],[[[[]],[[]]]],[]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [1,2,4,1]
[[],[[[[[]]],[]]],[]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [1,1,5,1]
[[],[[[[],[],[]]]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [1,1,1,4,1]
[[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [1,2,4,1]
[[],[[[[[]],[]]]],[]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [1,1,5,1]
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [1,1,5,1]
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [1,6,1]
[[],[[],[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,1,1,1,1,2,1]
[[],[[],[],[],[],[[]]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [2,1,1,1,2,1]
[[],[[],[],[],[[]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [1,2,1,1,2,1]
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [1,2,1,1,2,1]
[[],[[],[],[],[[[]]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [3,1,1,2,1]
[[],[[],[],[[]],[],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [1,1,2,1,2,1]
[[],[[],[],[[]],[[]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [2,2,1,2,1]
[[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [1,1,2,1,2,1]
[[],[[],[],[[[]]],[]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [1,3,1,2,1]
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [1,1,2,1,2,1]
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [2,2,1,2,1]
[[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [1,3,1,2,1]
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [1,3,1,2,1]
[[],[[],[],[[[[]]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,1,2,1]
[[],[[],[[]],[],[],[]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [1,1,1,2,2,1]
[[],[[],[[]],[[]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [1,2,2,2,1]
[[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [1,2,2,2,1]
[[],[[],[[]],[[[]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [3,2,2,1]
[[],[[],[[],[]],[],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [1,1,1,2,2,1]
[[],[[],[[[]]],[],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [1,1,3,2,1]
[[],[[],[[],[]],[[]]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [2,1,2,2,1]
[[],[[],[[],[],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [1,1,1,2,2,1]
[[],[[],[[],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [1,2,2,2,1]
[[],[[],[[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [1,1,3,2,1]
[[],[[],[[[[]]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [1,4,2,1]
[[],[[],[[],[],[],[]]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [1,1,1,2,2,1]
[[],[[],[[],[],[[]]]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [2,1,2,2,1]
[[],[[],[[],[[]],[]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [1,2,2,2,1]
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,2,2,2,1]
[[],[[],[[],[[[]]]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [3,2,2,1]
[[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [1,1,3,2,1]
[[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [2,3,2,1]
[[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [1,1,3,2,1]
[[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [1,4,2,1]
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [1,1,3,2,1]
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [2,3,2,1]
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [1,4,2,1]
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [1,4,2,1]
[[],[[],[[[[[]]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [5,2,1]
[[],[[[]],[],[],[],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [1,1,1,1,3,1]
[[],[[[]],[],[],[[]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [2,1,1,3,1]
[[],[[[]],[],[[]],[]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [1,2,1,3,1]
[[],[[[]],[],[[],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [1,2,1,3,1]
[[],[[[]],[],[[[]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [3,1,3,1]
[[],[[[]],[[]],[],[]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [1,1,2,3,1]
[[],[[[]],[[]],[[]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [2,2,3,1]
[[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [1,1,2,3,1]
[[],[[[]],[[[]]],[]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [1,3,3,1]
[[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [1,1,2,3,1]
[[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [2,2,3,1]
[[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [1,3,3,1]
[[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [1,3,3,1]
[[],[[[]],[[[[]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [4,3,1]
[[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [1,1,1,4,1]
[[],[[[],[]],[],[[]]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [2,1,1,3,1]
[[],[[[],[]],[[]],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [1,2,1,3,1]
[[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [1,2,4,1]
[[],[[[],[]],[[],[]]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [1,2,1,3,1]
[[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [3,4,1]
[[],[[[],[],[]],[],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [7,6,4,3,2,5,8,1] => [1,1,1,1,3,1]
[[],[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [7,6,3,4,2,5,8,1] => [1,1,2,3,1]
[[],[[[[]],[]],[],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [1,1,1,4,1]
[[],[[[[],[]]],[],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [1,1,1,4,1]
[[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [1,1,5,1]
[[],[[[],[],[]],[[]]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [2,1,1,3,1]
[[],[[[[]],[]],[[]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [6,7,4,2,3,5,8,1] => [2,1,4,1]
[[],[[[[],[]]],[[]]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [2,1,4,1]
[[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [2,5,1]
[[],[[[],[],[],[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [1,1,1,1,3,1]
[[],[[[],[],[[]]],[]]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [1,2,1,3,1]
[[],[[[],[[]],[]],[]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [1,1,2,3,1]
[[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [1,1,2,3,1]
[[],[[[],[[[]]]],[]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [1,3,3,1]
[[],[[[[]],[],[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [1,1,1,4,1]
[[],[[[[]],[[]]],[]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [1,2,4,1]
[[],[[[[],[]],[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [1,1,1,4,1]
[[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [1,1,5,1]
[[],[[[[],[],[]]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [1,1,1,4,1]
[[],[[[[],[[]]]],[]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [7,3,4,2,5,6,8,1] => [1,2,4,1]
[[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [1,1,5,1]
[[],[[[[[],[]]]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [1,1,5,1]
[[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [1,6,1]
[[],[[[],[],[],[],[]]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [1,1,1,1,3,1]
[[],[[[],[],[[]],[]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [1,2,1,3,1]
[[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,2,1,3,1]
[[],[[[],[],[[[]]]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [3,1,3,1]
[[],[[[],[[]],[],[]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [1,1,2,3,1]
[[],[[[],[[]],[[]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [2,2,3,1]
[[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [1,1,2,3,1]
[[],[[[],[[[]]],[]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [1,3,3,1]
[[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [1,1,2,3,1]
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [2,2,3,1]
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,3,3,1]
[[],[[[],[[[[]]]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [4,3,1]
[[],[[[[]],[],[],[]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [1,1,1,4,1]
[[],[[[[]],[],[[]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [2,1,4,1]
[[],[[[[]],[[]],[]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [1,2,4,1]
[[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [1,2,4,1]
[[],[[[[]],[[[]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [3,4,1]
[[],[[[[],[]],[],[]]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [1,1,1,4,1]
[[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [1,1,5,1]
[[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [1,1,5,1]
[[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [1,6,1]
[[],[[[[],[],[],[]]]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,1,1,4,1]
[[],[[[[],[],[[]]]]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [2,1,4,1]
[[],[[[[],[[]],[]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [1,2,4,1]
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [1,2,4,1]
[[],[[[[],[[[]]]]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,1]
[[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [1,1,5,1]
[[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [2,5,1]
[[],[[[[[],[]],[]]]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [1,1,5,1]
[[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [1,6,1]
[[],[[[[[],[],[]]]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [1,1,5,1]
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [2,5,1]
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [1,6,1]
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,6,1]
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [7,1]
[[[]],[],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,2]
[[[]],[],[],[],[],[[]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,1,1,1,1,2]
[[[]],[],[],[],[[]],[]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [1,2,1,1,1,2]
[[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [1,2,1,1,1,2]
[[[]],[],[],[],[[[]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [3,1,1,1,2]
[[[]],[],[],[[]],[],[]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [1,1,2,1,1,2]
[[[]],[],[],[[]],[[]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,2,1,1,2]
[[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [1,1,2,1,1,2]
[[[]],[],[],[[[]]],[]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,3,1,2] => [1,3,1,1,2]
[[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [1,1,2,1,1,2]
[[[]],[],[],[[],[[]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,2,1,1,2]
[[[]],[],[],[[[]],[]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [1,3,1,1,2]
[[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [1,3,1,1,2]
[[[]],[],[],[[[[]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [4,1,1,2]
[[[]],[],[[]],[],[],[]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [1,1,1,2,1,2]
[[[]],[],[[]],[],[[]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,1,2,1,2]
[[[]],[],[[]],[[]],[]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [1,2,2,1,2]
[[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,3,1,2] => [1,2,2,1,2]
[[[]],[],[[]],[[[]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [3,2,1,2]
[[[]],[],[[],[]],[],[]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [1,1,1,2,1,2]
[[[]],[],[[[]]],[],[]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,3,1,2] => [1,1,3,1,2]
[[[]],[],[[[]]],[[]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,3,1,2]
[[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [1,2,2,1,2]
[[[]],[],[[[]],[]],[]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [1,1,3,1,2]
[[[]],[],[[[],[]]],[]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [1,1,3,1,2]
[[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [1,1,1,2,1,2]
[[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,3,1,2] => [2,1,2,1,2]
[[[]],[],[[],[[]],[]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [1,2,2,1,2]
[[[]],[],[[],[[],[]]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [1,2,2,1,2]
[[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [1,1,3,1,2]
[[[]],[],[[[]],[[]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [2,3,1,2]
[[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [1,1,3,1,2]
[[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [1,4,1,2]
[[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [1,1,3,1,2]
[[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [2,3,1,2]
[[[]],[],[[[[]],[]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,3,1,2] => [1,4,1,2]
[[[]],[],[[[[],[]]]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [1,4,1,2]
[[[]],[],[[[[[]]]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [5,1,2]
[[[]],[[]],[],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [1,1,1,1,2,2]
[[[]],[[]],[],[],[[]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,1,1,2,2]
[[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [1,2,1,2,2]
[[[]],[[]],[],[[[]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [3,1,2,2]
[[[]],[[]],[[]],[],[]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [1,1,2,2,2]
[[[]],[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,2,2,2]
[[[]],[[]],[[],[]],[]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [1,1,2,2,2]
[[[]],[[]],[[[]]],[]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [1,3,2,2]
[[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [1,1,2,2,2]
[[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [2,2,2,2]
[[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [1,3,2,2]
[[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [1,3,2,2]
[[[]],[[]],[[[[]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [4,2,2]
[[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,3,5,1,2] => [1,1,1,1,2,2]
[[[]],[[[]]],[],[],[]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [1,1,1,3,2]
[[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [2,1,1,2,2]
[[[]],[[[]]],[],[[]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [7,8,6,3,4,5,1,2] => [2,1,3,2]
[[[]],[[],[]],[[]],[]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,3,5,1,2] => [1,2,1,2,2]
[[[]],[[[]]],[[]],[]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [1,2,3,2]
[[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [1,2,1,2,2]
[[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [3,1,2,2]
[[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [7,6,8,3,4,5,1,2] => [1,2,3,2]
[[[]],[[[]]],[[[]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [3,3,2]
[[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,3,6,1,2] => [1,1,1,1,2,2]
[[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [1,1,2,2,2]
[[[]],[[[]],[]],[],[]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [1,1,1,3,2]
[[[]],[[[],[]]],[],[]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [1,1,1,3,2]
[[[]],[[[[]]]],[],[]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [1,1,4,2]
[[[]],[[],[],[]],[[]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,1,1,2,2]
[[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,2,2,2]
[[[]],[[[]],[]],[[]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [2,1,3,2]
[[[]],[[[],[]]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,1,3,2]
[[[]],[[[[]]]],[[]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,4,2]
[[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [1,1,1,1,2,2]
[[[]],[[[]],[[]]],[]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [8,5,6,3,4,7,1,2] => [1,2,3,2]
[[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [1,1,1,3,2]
[[[]],[[[[]]],[]],[]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [8,6,3,4,5,7,1,2] => [1,1,4,2]
[[[]],[[[],[],[]]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [1,1,1,3,2]
[[[]],[[[[]],[]]],[]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [1,1,4,2]
[[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [1,1,4,2]
[[[]],[[[[[]]]]],[]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [1,5,2]
[[[]],[[],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [1,1,1,1,2,2]
[[[]],[[],[],[],[[]]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [2,1,1,2,2]
[[[]],[[],[],[[]],[]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [1,2,1,2,2]
[[[]],[[],[],[[],[]]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [1,2,1,2,2]
[[[]],[[],[],[[[]]]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [3,1,2,2]
[[[]],[[],[[]],[],[]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,3,8,1,2] => [1,1,2,2,2]
[[[]],[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,2,2,2]
[[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [1,1,2,2,2]
[[[]],[[],[[[]]],[]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [7,4,5,6,3,8,1,2] => [1,3,2,2]
[[[]],[[],[[],[],[]]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [1,1,2,2,2]
[[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [2,2,2,2]
[[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [1,3,2,2]
[[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [1,3,2,2]
[[[]],[[],[[[[]]]]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [4,2,2]
[[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [1,1,1,3,2]
[[[]],[[[]],[],[[]]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,1,3,2]
[[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [1,2,3,2]
[[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [1,2,3,2]
[[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [3,3,2]
[[[]],[[[],[]],[],[]]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [1,1,1,3,2]
[[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [1,1,4,2]
[[[]],[[[],[]],[[]]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [2,1,3,2]
[[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [2,4,2]
[[[]],[[[],[],[]],[]]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [1,1,1,3,2]
[[[]],[[[[]],[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [1,1,4,2]
[[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [1,5,2]
[[[]],[[[],[],[],[]]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [1,1,1,3,2]
[[[]],[[[],[],[[]]]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [2,1,3,2]
[[[]],[[[],[[],[]]]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [1,2,3,2]
[[[]],[[[],[[[]]]]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [3,3,2]
[[[]],[[[[]],[],[]]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [1,1,4,2]
[[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,4,2]
[[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [1,1,4,2]
[[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [1,5,2]
[[[]],[[[[],[],[]]]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [1,1,4,2]
[[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,4,2]
[[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [1,5,2]
[[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [1,5,2]
[[[]],[[[[[[]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [6,2]
[[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,2]
[[[[]]],[],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,3]
[[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [2,1,1,1,1,2]
[[[[]]],[],[],[],[[]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [2,1,1,1,3]
[[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [1,2,1,1,1,2]
[[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [1,2,1,1,1,2]
[[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [3,1,1,1,2]
[[[[]]],[],[],[[],[]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [1,2,1,1,3]
[[[[]]],[],[],[[[]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [3,1,1,3]
[[[],[]],[],[[]],[],[]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [1,1,2,1,1,2]
[[[],[]],[],[[]],[[]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [2,2,1,1,2]
[[[[]]],[],[[]],[[]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [2,2,1,3]
[[[],[]],[],[[],[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [1,1,2,1,1,2]
[[[],[]],[],[[[]]],[]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,2,1,3] => [1,3,1,1,2]
[[[[]]],[],[[],[]],[]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [1,1,2,1,3]
[[[[]]],[],[[[]]],[]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [1,3,1,3]
[[[],[]],[],[[],[],[]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [1,1,2,1,1,2]
[[[],[]],[],[[],[[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [2,2,1,1,2]
[[[],[]],[],[[[]],[]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [1,3,1,1,2]
[[[],[]],[],[[[],[]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [1,3,1,1,2]
[[[],[]],[],[[[[]]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [4,1,1,2]
[[[[]]],[],[[],[],[]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [1,1,2,1,3]
[[[[]]],[],[[],[[]]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [2,2,1,3]
[[[[]]],[],[[[]],[]]] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [1,3,1,3]
[[[[]]],[],[[[],[]]]] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [1,3,1,3]
[[[[]]],[],[[[[]]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [4,1,3]
[[[],[]],[[]],[],[],[]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [1,1,1,2,1,2]
[[[[]]],[[]],[],[],[]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [1,1,1,2,3]
[[[],[]],[[]],[],[[]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [2,1,2,1,2]
[[[[]]],[[]],[],[[]]] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,1,2,3] => [2,1,2,3]
[[[],[]],[[]],[[]],[]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [1,2,2,1,2]
[[[[]]],[[]],[[]],[]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [1,2,2,3]
[[[],[]],[[]],[[],[]]] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [1,2,2,1,2]
[[[],[]],[[]],[[[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [3,2,1,2]
[[[[]]],[[]],[[[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [3,2,3]
[[[],[]],[[],[]],[],[]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [1,1,1,2,1,2]
[[[],[]],[[[]]],[],[]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [1,1,3,1,2]
[[[[]]],[[],[]],[],[]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [1,1,1,2,3]
[[[[]]],[[[]]],[],[]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [1,1,3,3]
[[[],[]],[[],[]],[[]]] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [2,1,2,1,2]
[[[],[]],[[[]]],[[]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,2,1,3] => [2,3,1,2]
[[[[]]],[[],[]],[[]]] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [2,1,2,3]
[[[[]]],[[[]]],[[]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [2,3,3]
[[[],[]],[[],[],[]],[]] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [1,1,1,2,1,2]
[[[],[]],[[[]],[]],[]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [1,1,3,1,2]
[[[],[]],[[[],[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [1,1,3,1,2]
[[[],[]],[[[[]]]],[]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [1,4,1,2]
[[[[]]],[[],[],[]],[]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [1,1,1,2,3]
[[[[]]],[[],[[]]],[]] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [1,2,2,3]
[[[[]]],[[[]],[]],[]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [1,1,3,3]
[[[[]]],[[[],[]]],[]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [1,1,3,3]
[[[[]]],[[[[]]]],[]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [1,4,3]
[[[],[]],[[],[],[],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [1,1,1,2,1,2]
[[[],[]],[[],[],[[]]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [2,1,2,1,2]
[[[],[]],[[],[[]],[]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,2,1,3] => [1,2,2,1,2]
[[[],[]],[[],[[],[]]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [1,2,2,1,2]
[[[],[]],[[],[[[]]]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [3,2,1,2]
[[[],[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [1,1,3,1,2]
[[[],[]],[[[]],[[]]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [2,3,1,2]
[[[],[]],[[[],[]],[]]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [1,1,3,1,2]
[[[],[]],[[[[]]],[]]] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [1,4,1,2]
[[[],[]],[[[],[],[]]]] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [1,1,3,1,2]
[[[],[]],[[[],[[]]]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,2,1,3] => [2,3,1,2]
[[[],[]],[[[[],[]]]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [1,4,1,2]
[[[],[]],[[[[[]]]]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [5,1,2]
[[[[]]],[[],[],[],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [1,1,1,2,3]
[[[[]]],[[],[],[[]]]] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [2,1,2,3]
[[[[]]],[[],[[]],[]]] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [1,2,2,3]
[[[[]]],[[],[[],[]]]] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [1,2,2,3]
[[[[]]],[[],[[[]]]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [3,2,3]
[[[[]]],[[[]],[],[]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [1,1,3,3]
[[[[]]],[[[]],[[]]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [2,3,3]
[[[[]]],[[[],[]],[]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [1,1,3,3]
[[[[]]],[[[[]]],[]]] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [1,4,3]
[[[[]]],[[[],[],[]]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [1,1,3,3]
[[[[]]],[[[],[[]]]]] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [2,3,3]
[[[[]]],[[[[]],[]]]] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [1,4,3]
[[[[]]],[[[[],[]]]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [1,4,3]
[[[[]]],[[[[[]]]]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [5,3]
[[[],[],[]],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,2]
[[[],[[]]],[],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [1,1,1,1,2,2]
[[[[]],[]],[],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [1,1,1,1,1,3]
[[[[],[]]],[],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,3]
[[[[[]]]],[],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [1,1,1,1,4]
[[[],[],[]],[],[],[[]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [2,1,1,1,1,2]
[[[],[[]]],[],[],[[]]] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [2,1,1,2,2]
[[[[]],[]],[],[],[[]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [2,1,1,1,3]
[[[[],[]]],[],[],[[]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [2,1,1,1,3]
[[[[[]]]],[],[],[[]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [2,1,1,4]
[[[],[],[]],[],[[]],[]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [1,2,1,1,1,2]
[[[],[[]]],[],[[]],[]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [1,2,1,2,2]
[[[[]],[]],[],[[]],[]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [1,2,1,1,3]
[[[[],[]]],[],[[]],[]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [1,2,1,1,3]
[[[[[]]]],[],[[]],[]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [1,2,1,4]
[[[],[],[]],[],[[],[]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [1,2,1,1,1,2]
[[[],[],[]],[],[[[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [3,1,1,1,2]
[[[],[[]]],[],[[],[]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [1,2,1,2,2]
[[[],[[]]],[],[[[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [3,1,2,2]
[[[[]],[]],[],[[],[]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [1,2,1,1,3]
[[[[]],[]],[],[[[]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [3,1,1,3]
[[[[],[]]],[],[[],[]]] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [1,2,1,1,3]
[[[[],[]]],[],[[[]]]] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [3,1,1,3]
[[[[[]]]],[],[[],[]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [1,2,1,4]
[[[[[]]]],[],[[[]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [3,1,4]
[[[],[],[]],[[]],[],[]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [1,1,2,1,1,2]
[[[],[[]]],[[]],[],[]] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [1,1,2,2,2]
[[[[]],[]],[[]],[],[]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [1,1,2,1,3]
[[[[],[]]],[[]],[],[]] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [1,1,2,1,3]
[[[[[]]]],[[]],[],[]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [1,1,2,4]
[[[],[],[]],[[]],[[]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [2,2,1,1,2]
[[[],[[]]],[[]],[[]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [2,2,2,2]
[[[[]],[]],[[]],[[]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [2,2,1,3]
[[[[],[]]],[[]],[[]]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,2,1,3]
[[[[[]]]],[[]],[[]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [2,2,4]
[[[],[],[]],[[],[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [1,1,2,1,1,2]
[[[],[],[]],[[[]]],[]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [1,3,1,1,2]
[[[],[[]]],[[],[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [1,1,2,2,2]
[[[],[[]]],[[[]]],[]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [1,3,2,2]
[[[[]],[]],[[],[]],[]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [1,1,2,1,3]
[[[[]],[]],[[[]]],[]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [1,3,1,3]
[[[[],[]]],[[],[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [1,1,2,1,3]
[[[[],[]]],[[[]]],[]] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [1,3,1,3]
[[[[[]]]],[[],[]],[]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [1,1,2,4]
[[[[[]]]],[[[]]],[]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [1,3,4]
[[[],[],[]],[[],[],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [1,1,2,1,1,2]
[[[],[],[]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [2,2,1,1,2]
[[[],[],[]],[[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [1,3,1,1,2]
[[[],[],[]],[[[],[]]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [1,3,1,1,2]
[[[],[],[]],[[[[]]]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,1,2]
[[[],[[]]],[[],[],[]]] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [1,1,2,2,2]
[[[],[[]]],[[],[[]]]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [2,2,2,2]
[[[],[[]]],[[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [1,3,2,2]
[[[],[[]]],[[[],[]]]] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [1,3,2,2]
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,2,2]
[[[[]],[]],[[],[],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [1,1,2,1,3]
[[[[]],[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [2,2,1,3]
[[[[]],[]],[[[]],[]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [1,3,1,3]
[[[[]],[]],[[[],[]]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [1,3,1,3]
[[[[]],[]],[[[[]]]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [4,1,3]
[[[[],[]]],[[],[],[]]] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [1,1,2,1,3]
[[[[],[]]],[[],[[]]]] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [2,2,1,3]
[[[[],[]]],[[[]],[]]] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [1,3,1,3]
[[[[],[]]],[[[],[]]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [1,3,1,3]
[[[[],[]]],[[[[]]]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [4,1,3]
[[[[[]]]],[[],[],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [1,1,2,4]
[[[[[]]]],[[],[[]]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [2,2,4]
[[[[[]]]],[[[]],[]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [1,3,4]
[[[[[]]]],[[[],[]]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [1,3,4]
[[[[[]]]],[[[[]]]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [4,4]
[[[],[],[],[]],[],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,2]
[[[],[],[[]]],[],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [1,1,1,2,1,2]
[[[],[[]],[]],[],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [1,1,1,1,2,2]
[[[],[[],[]]],[],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [1,1,1,1,2,2]
[[[],[[[]]]],[],[],[]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [1,1,1,3,2]
[[[[]],[],[]],[],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [1,1,1,1,1,3]
[[[[]],[[]]],[],[],[]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [1,1,1,2,3]
[[[[],[]],[]],[],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [1,1,1,1,1,3]
[[[[[]]],[]],[],[],[]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [1,1,1,1,4]
[[[[],[],[]]],[],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,3]
[[[[],[[]]]],[],[],[]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [1,1,1,2,3]
[[[[[]],[]]],[],[],[]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [1,1,1,1,4]
[[[[[],[]]]],[],[],[]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [1,1,1,1,4]
[[[[[[]]]]],[],[],[]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [1,1,1,5]
[[[],[],[],[]],[],[[]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [2,1,1,1,1,2]
[[[],[],[[]]],[],[[]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [2,1,2,1,2]
[[[],[[]],[]],[],[[]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [2,1,1,2,2]
[[[],[[[]]]],[],[[]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [2,1,3,2]
[[[[]],[],[]],[],[[]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,3,1,2,5] => [2,1,1,1,3]
[[[[]],[[]]],[],[[]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [2,1,2,3]
[[[[],[]],[]],[],[[]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [2,1,1,1,3]
[[[[[]]],[]],[],[[]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [2,1,1,4]
[[[[],[],[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [2,1,1,1,3]
[[[[],[[]]]],[],[[]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [2,1,2,3]
[[[[[]],[]]],[],[[]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [2,1,1,4]
[[[[[],[]]]],[],[[]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [2,1,1,4]
[[[[[[]]]]],[],[[]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [2,1,5]
[[[],[],[],[]],[[]],[]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [1,2,1,1,1,2]
[[[],[],[[]]],[[]],[]] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [8,6,7,3,4,2,1,5] => [1,2,2,1,2]
[[[],[[]],[]],[[]],[]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [1,2,1,2,2]
[[[],[[],[]]],[[]],[]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [1,2,1,2,2]
[[[],[[[]]]],[[]],[]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [1,2,3,2]
[[[[]],[],[]],[[]],[]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,3,1,2,5] => [1,2,1,1,3]
[[[[]],[[]]],[[]],[]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [1,2,2,3]
[[[[],[]],[]],[[]],[]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [1,2,1,1,3]
[[[[[]]],[]],[[]],[]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [1,2,1,4]
[[[[],[],[]]],[[]],[]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [1,2,1,1,3]
[[[[],[[]]]],[[]],[]] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [1,2,2,3]
[[[[[]],[]]],[[]],[]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [1,2,1,4]
[[[[[],[]]]],[[]],[]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [1,2,1,4]
[[[[[[]]]]],[[]],[]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [1,2,5]
[[[],[],[],[]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [1,2,1,1,1,2]
[[[],[],[],[]],[[[]]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [3,1,1,1,2]
[[[],[],[[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [3,2,1,2]
[[[],[[]],[]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [1,2,1,2,2]
[[[],[[]],[]],[[[]]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [3,1,2,2]
[[[],[[],[]]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [1,2,1,2,2]
[[[],[[],[]]],[[[]]]] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [3,1,2,2]
[[[],[[[]]]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [1,2,3,2]
[[[],[[[]]]],[[[]]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [3,3,2]
[[[[]],[],[]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,3,1,2,5] => [1,2,1,1,3]
[[[[]],[],[]],[[[]]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [3,1,1,3]
[[[[]],[[]]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [1,2,2,3]
[[[[]],[[]]],[[[]]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [3,2,3]
[[[[],[]],[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,2,1,3,5] => [1,2,1,1,3]
[[[[],[]],[]],[[[]]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [3,1,1,3]
[[[[[]]],[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [1,2,1,4]
[[[[[]]],[]],[[[]]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [3,1,4]
[[[[],[],[]]],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [1,2,1,1,3]
[[[[],[],[]]],[[[]]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [3,1,1,3]
[[[[],[[]]]],[[],[]]] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [1,2,2,3]
[[[[],[[]]]],[[[]]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [3,2,3]
[[[[[]],[]]],[[],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [1,2,1,4]
[[[[[]],[]]],[[[]]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [3,1,4]
[[[[[],[]]]],[[],[]]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [7,6,8,2,1,3,4,5] => [1,2,1,4]
[[[[[],[]]]],[[[]]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [3,1,4]
[[[[[[]]]]],[[],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [1,2,5]
[[[[[[]]]]],[[[]]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [3,5]
[[[],[],[],[],[]],[],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,2]
[[[],[],[],[[]]],[],[]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [1,1,2,1,1,2]
[[[],[],[[]],[]],[],[]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [1,1,1,2,1,2]
[[[],[],[[],[]]],[],[]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [1,1,1,2,1,2]
[[[],[],[[[]]]],[],[]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [1,1,3,1,2]
[[[],[[]],[],[]],[],[]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,2,3,1,6] => [1,1,1,1,2,2]
[[[],[[]],[[]]],[],[]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [1,1,2,2,2]
[[[],[[],[]],[]],[],[]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [1,1,1,1,2,2]
[[[],[[[]]],[]],[],[]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [8,7,5,2,3,4,1,6] => [1,1,1,3,2]
[[[],[[],[],[]]],[],[]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [1,1,1,1,2,2]
[[[],[[],[[]]]],[],[]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [1,1,2,2,2]
[[[],[[[]],[]]],[],[]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [8,7,4,2,3,5,1,6] => [1,1,1,3,2]
[[[],[[[],[]]]],[],[]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [8,7,3,2,4,5,1,6] => [1,1,1,3,2]
[[[],[[[[]]]]],[],[]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [1,1,4,2]
[[[[]],[],[],[]],[],[]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [1,1,1,1,1,3]
[[[[]],[[]],[]],[],[]] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [1,1,1,2,3]
[[[[]],[[],[]]],[],[]] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [8,7,4,3,5,1,2,6] => [1,1,1,2,3]
[[[[]],[[[]]]],[],[]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [1,1,3,3]
[[[[],[]],[],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [1,1,1,1,1,3]
[[[[[]]],[],[]],[],[]] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [1,1,1,1,4]
[[[[[]]],[[]]],[],[]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [1,1,2,4]
[[[[],[],[]],[]],[],[]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [1,1,1,1,1,3]
[[[[],[[]]],[]],[],[]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [1,1,1,2,3]
[[[[[]],[]],[]],[],[]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [1,1,1,1,4]
[[[[[],[]]],[]],[],[]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [1,1,1,1,4]
[[[[[[]]]],[]],[],[]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [1,1,1,5]
[[[[],[],[],[]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [1,1,1,1,1,3]
[[[[],[],[[]]]],[],[]] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [1,1,2,1,3]
[[[[],[[],[]]]],[],[]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [1,1,1,2,3]
[[[[],[[[]]]]],[],[]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [1,1,3,3]
[[[[[]],[],[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [1,1,1,1,4]
[[[[[]],[[]]]],[],[]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [1,1,2,4]
[[[[[],[]],[]]],[],[]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [1,1,1,1,4]
[[[[[[]]],[]]],[],[]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [1,1,1,5]
[[[[[],[],[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [1,1,1,1,4]
[[[[[],[[]]]]],[],[]] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [1,1,2,4]
[[[[[[],[]]]]],[],[]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [1,1,1,5]
[[[[[[[]]]]]],[],[]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [1,1,6]
[[[],[],[],[],[]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [2,1,1,1,1,2]
[[[],[],[],[[]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [2,2,1,1,2]
[[[],[],[[],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [2,1,2,1,2]
[[[],[],[[[]]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [2,3,1,2]
[[[],[[]],[[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [2,2,2,2]
[[[],[[],[]],[]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [2,1,1,2,2]
[[[],[[[]]],[]],[[]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [2,1,3,2]
[[[],[[],[],[]]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [2,1,1,2,2]
[[[],[[],[[]]]],[[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [2,2,2,2]
[[[],[[[],[]]]],[[]]] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [2,1,3,2]
[[[],[[[[]]]]],[[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [2,4,2]
[[[[]],[],[],[]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [2,1,1,1,3]
[[[[]],[[]],[]],[[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [2,1,2,3]
[[[[]],[[],[]]],[[]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [2,1,2,3]
[[[[]],[[[]]]],[[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [2,3,3]
[[[[],[]],[],[]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [2,1,1,1,3]
[[[[[]]],[],[]],[[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [2,1,1,4]
[[[[],[]],[[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [2,2,1,3]
[[[[[]]],[[]]],[[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [2,2,4]
[[[[],[],[]],[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [2,1,1,1,3]
[[[[],[[]]],[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [7,8,5,2,3,1,4,6] => [2,1,2,3]
[[[[[]],[]],[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [2,1,1,4]
[[[[[],[]]],[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [2,1,1,4]
[[[[[[]]]],[]],[[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [2,1,5]
[[[[],[],[],[]]],[[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [2,1,1,1,3]
[[[[],[],[[]]]],[[]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [2,2,1,3]
[[[[],[[]],[]]],[[]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [2,1,2,3]
[[[[],[[],[]]]],[[]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [2,1,2,3]
[[[[],[[[]]]]],[[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [2,3,3]
[[[[[]],[],[]]],[[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [2,1,1,4]
[[[[[]],[[]]]],[[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [2,2,4]
[[[[[],[]],[]]],[[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [2,1,1,4]
[[[[[[]]],[]]],[[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [2,1,5]
[[[[[],[],[]]]],[[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [2,1,1,4]
[[[[[],[[]]]]],[[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [2,2,4]
[[[[[[]],[]]]],[[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [2,1,5]
[[[[[[],[]]]]],[[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [2,1,5]
[[[[[[[]]]]]],[[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [2,6]
[[[],[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,2]
[[[],[],[],[],[[]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [1,2,1,1,1,2]
[[[],[],[],[[]],[]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [1,1,2,1,1,2]
[[[],[],[],[[[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [1,3,1,1,2]
[[[],[],[[]],[],[]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [1,1,1,2,1,2]
[[[],[],[[]],[[]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [1,2,2,1,2]
[[[],[],[[],[]],[]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [1,1,1,2,1,2]
[[[],[],[[],[],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [1,1,1,2,1,2]
[[[],[],[[],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [1,2,2,1,2]
[[[],[],[[[],[]]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [1,1,3,1,2]
[[[],[],[[[[]]]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [1,4,1,2]
[[[],[[]],[],[],[]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [1,1,1,1,2,2]
[[[],[[]],[],[[]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [1,2,1,2,2]
[[[],[[]],[[]],[]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [1,1,2,2,2]
[[[],[[]],[[[]]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [1,3,2,2]
[[[],[[],[]],[],[]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [1,1,1,1,2,2]
[[[],[[[]]],[],[]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [1,1,1,3,2]
[[[],[[[]]],[[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [1,2,3,2]
[[[],[[],[],[]],[]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [1,1,1,1,2,2]
[[[],[[],[[]]],[]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [8,6,3,4,2,5,1,7] => [1,1,2,2,2]
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [1,1,1,3,2]
[[[],[[[],[]]],[]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [1,1,1,3,2]
[[[],[[],[],[],[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [1,1,1,1,2,2]
[[[],[[],[],[[]]]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [1,2,1,2,2]
[[[],[[],[[]],[]]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [1,1,2,2,2]
[[[],[[],[[],[]]]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [1,1,2,2,2]
[[[],[[],[[[]]]]],[]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [1,3,2,2]
[[[],[[[]],[],[]]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [1,1,1,3,2]
[[[],[[[]],[[]]]],[]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [1,2,3,2]
[[[],[[[],[]],[]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [1,1,1,3,2]
[[[],[[[[]]],[]]],[]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [1,1,4,2]
[[[],[[[],[],[]]]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [8,4,3,2,5,6,1,7] => [1,1,1,3,2]
[[[],[[[],[[]]]]],[]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [1,2,3,2]
[[[],[[[[]],[]]]],[]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [1,1,4,2]
[[[],[[[[],[]]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [1,1,4,2]
[[[],[[[[[]]]]]],[]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [1,5,2]
[[[[]],[],[],[],[]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [1,1,1,1,1,3]
[[[[]],[],[[]],[]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [1,1,2,1,3]
[[[[]],[],[[],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [8,5,4,6,3,1,2,7] => [1,1,2,1,3]
[[[[]],[[]],[],[]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [1,1,1,2,3]
[[[[]],[[]],[[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [1,2,2,3]
[[[[]],[[],[]],[]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [8,6,4,3,5,1,2,7] => [1,1,1,2,3]
[[[[]],[[[]]],[]],[]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [1,1,3,3]
[[[[]],[[],[],[]]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [1,1,1,2,3]
[[[[]],[[],[[]]]],[]] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [1,2,2,3]
[[[[]],[[[]],[]]],[]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [1,1,3,3]
[[[[]],[[[],[]]]],[]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [1,1,3,3]
[[[[]],[[[[]]]]],[]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [1,4,3]
[[[[],[]],[],[],[]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [1,1,1,1,1,3]
[[[[[]]],[],[],[]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [1,1,1,1,4]
[[[[],[]],[],[[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [1,2,1,1,3]
[[[[[]]],[],[[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [1,2,1,4]
[[[[],[]],[[]],[]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [1,1,2,1,3]
[[[[[]]],[[]],[]],[]] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [1,1,2,4]
[[[[],[]],[[],[]]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,2,1,3,7] => [1,1,2,1,3]
[[[[],[]],[[[]]]],[]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [1,3,1,3]
[[[[[]]],[[],[]]],[]] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,1,2,3,7] => [1,1,2,4]
[[[[[]]],[[[]]]],[]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [1,3,4]
[[[[],[],[]],[],[]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,3]
[[[[],[[]]],[],[]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [1,1,1,2,3]
[[[[[]],[]],[],[]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [1,1,1,1,4]
[[[[[],[]]],[],[]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [1,1,1,1,4]
[[[[[[]]]],[],[]],[]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [1,1,1,5]
[[[[],[],[]],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [1,2,1,1,3]
[[[[],[[]]],[[]]],[]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [1,2,2,3]
[[[[[]],[]],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [1,2,1,4]
[[[[[],[]]],[[]]],[]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [1,2,1,4]
[[[[[[]]]],[[]]],[]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [1,2,5]
[[[[],[],[],[]],[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [1,1,1,1,1,3]
[[[[],[],[[]]],[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [1,1,2,1,3]
[[[[],[[]],[]],[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [1,1,1,2,3]
[[[[],[[],[]]],[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [1,1,1,2,3]
[[[[],[[[]]]],[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [1,1,3,3]
[[[[[]],[],[]],[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [1,1,1,1,4]
[[[[[]],[[]]],[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [1,1,2,4]
[[[[[],[]],[]],[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [1,1,1,1,4]
[[[[[[]]],[]],[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [1,1,1,5]
[[[[[],[],[]]],[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [1,1,1,1,4]
[[[[[],[[]]]],[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [1,1,2,4]
[[[[[[[]]]]],[]],[]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [1,1,6]
[[[[],[],[],[],[]]],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,3]
[[[[],[],[],[[]]]],[]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [1,2,1,1,3]
[[[[],[],[[],[]]]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [1,1,2,1,3]
[[[[],[],[[[]]]]],[]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [1,3,1,3]
[[[[],[[]],[],[]]],[]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [1,1,1,2,3]
[[[[],[[]],[[]]]],[]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [1,2,2,3]
[[[[],[[],[]],[]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [1,1,1,2,3]
[[[[],[[[]]],[]]],[]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [1,1,3,3]
[[[[],[[[]],[]]]],[]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [1,1,3,3]
[[[[],[[[[]]]]]],[]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [1,4,3]
[[[[[]],[],[],[]]],[]] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [1,1,1,1,4]
[[[[[]],[[]],[]]],[]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [1,1,2,4]
[[[[[]],[[],[]]]],[]] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [1,1,2,4]
[[[[[]],[[[]]]]],[]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [1,3,4]
[[[[[],[]],[],[]]],[]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [1,1,1,1,4]
[[[[[[]]],[],[]]],[]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [1,1,1,5]
[[[[[],[]],[[]]]],[]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [1,2,1,4]
[[[[[[]]],[[]]]],[]] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [1,2,5]
[[[[[],[],[]],[]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [1,1,1,1,4]
[[[[[],[[]]],[]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [8,5,2,3,1,4,6,7] => [1,1,2,4]
[[[[[[]],[]],[]]],[]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [1,1,1,5]
[[[[[[],[]]],[]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [1,1,1,5]
[[[[[[[]]]],[]]],[]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [1,1,6]
[[[[[],[],[],[]]]],[]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [1,1,1,1,4]
[[[[[],[],[[]]]]],[]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [1,2,1,4]
[[[[[],[[]],[]]]],[]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [1,1,2,4]
[[[[[],[[],[]]]]],[]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [1,1,2,4]
[[[[[],[[[]]]]]],[]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [1,3,4]
[[[[[[]],[],[]]]],[]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [1,1,1,5]
[[[[[[]],[[]]]]],[]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [1,2,5]
[[[[[[],[]],[]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [1,1,1,5]
[[[[[[[]]],[]]]],[]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [1,1,6]
[[[[[[],[],[]]]]],[]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [1,1,1,5]
[[[[[[],[[]]]]]],[]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [1,2,5]
[[[[[[[]],[]]]]],[]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [1,1,6]
[[[[[[[],[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [1,1,6]
[[[[[[[[]]]]]]],[]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,7]
[[[],[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2]
[[[],[],[],[],[],[[]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [2,1,1,1,1,2]
[[[],[],[],[],[[]],[]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [1,2,1,1,1,2]
[[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [1,2,1,1,1,2]
[[[],[],[],[],[[[]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [3,1,1,1,2]
[[[],[],[],[[]],[],[]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [1,1,2,1,1,2]
[[[],[],[],[[]],[[]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [2,2,1,1,2]
[[[],[],[],[[],[]],[]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [1,1,2,1,1,2]
[[[],[],[],[[[]]],[]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [1,3,1,1,2]
[[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [1,1,2,1,1,2]
[[[],[],[],[[],[[]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [2,2,1,1,2]
[[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [1,3,1,1,2]
[[[],[],[],[[[[]]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,1,1,2]
[[[],[],[[]],[],[],[]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [1,1,1,2,1,2]
[[[],[],[[]],[],[[]]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [2,1,2,1,2]
[[[],[],[[]],[[]],[]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [1,2,2,1,2]
[[[],[],[[]],[[],[]]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [1,2,2,1,2]
[[[],[],[[]],[[[]]]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [3,2,1,2]
[[[],[],[[],[]],[],[]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [1,1,1,2,1,2]
[[[],[],[[[]]],[],[]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2]
[[[],[],[[],[]],[[]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [2,1,2,1,2]
[[[],[],[[],[],[]],[]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [1,1,1,2,1,2]
[[[],[],[[],[[]]],[]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [7,4,5,3,6,2,1,8] => [1,2,2,1,2]
[[[],[],[[[[]]]],[]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [1,4,1,2]
[[[],[],[[],[],[],[]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [1,1,1,2,1,2]
[[[],[],[[],[],[[]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [2,1,2,1,2]
[[[],[],[[],[[]],[]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [6,4,5,3,7,2,1,8] => [1,2,2,1,2]
[[[],[],[[],[[],[]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [1,2,2,1,2]
[[[],[],[[],[[[]]]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8] => [3,2,1,2]
[[[],[],[[[]],[[]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [2,3,1,2]
[[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [1,1,3,1,2]
[[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [2,3,1,2]
[[[],[],[[[[[]]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [5,1,2]
[[[],[[]],[],[],[],[]]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [1,1,1,1,2,2]
[[[],[[]],[],[],[[]]]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [2,1,1,2,2]
[[[],[[]],[],[[]],[]]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [1,2,1,2,2]
[[[],[[]],[],[[[]]]]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [3,1,2,2]
[[[],[[]],[[]],[],[]]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [1,1,2,2,2]
[[[],[[]],[[]],[[]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [2,2,2,2]
[[[],[[]],[[],[]],[]]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [1,1,2,2,2]
[[[],[[]],[[[]]],[]]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [1,3,2,2]
[[[],[[]],[[],[],[]]]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [1,1,2,2,2]
[[[],[[]],[[],[[]]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [2,2,2,2]
[[[],[[]],[[[],[]]]]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [1,3,2,2]
[[[],[[]],[[[[]]]]]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [4,2,2]
[[[],[[],[]],[],[],[]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [1,1,1,1,2,2]
[[[],[[[]]],[],[],[]]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [1,1,1,3,2]
[[[],[[[]]],[],[[]]]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [2,1,3,2]
[[[],[[],[]],[[]],[]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [1,2,1,2,2]
[[[],[[[]]],[[]],[]]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [1,2,3,2]
[[[],[[],[]],[[],[]]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [1,2,1,2,2]
[[[],[[],[]],[[[]]]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [3,1,2,2]
[[[],[[[]]],[[],[]]]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [1,2,3,2]
[[[],[[[]]],[[[]]]]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [3,3,2]
[[[],[[],[],[]],[],[]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [1,1,1,1,2,2]
[[[],[[[]],[]],[],[]]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [1,1,1,3,2]
[[[],[[[],[]]],[],[]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [1,1,1,3,2]
[[[],[[[[]]]],[],[]]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [1,1,4,2]
[[[],[[],[],[]],[[]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [2,1,1,2,2]
[[[],[[],[[]]],[[]]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [2,2,2,2]
[[[],[[[]],[]],[[]]]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [2,1,3,2]
[[[],[[[],[]]],[[]]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [2,1,3,2]
[[[],[[[[]]]],[[]]]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [2,4,2]
[[[],[[],[],[],[]],[]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [1,1,1,1,2,2]
[[[],[[],[],[[]]],[]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [1,2,1,2,2]
[[[],[[],[[]],[]],[]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [1,1,2,2,2]
[[[],[[],[[],[]]],[]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [1,1,2,2,2]
[[[],[[],[[[]]]],[]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [7,3,4,5,2,6,1,8] => [1,3,2,2]
[[[],[[[]],[],[]],[]]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [1,1,1,3,2]
[[[],[[[]],[[]]],[]]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [1,2,3,2]
[[[],[[[],[]],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [1,1,1,3,2]
[[[],[[[[]]],[]],[]]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [7,5,2,3,4,6,1,8] => [1,1,4,2]
[[[],[[[],[],[]]],[]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [1,1,1,3,2]
[[[],[[[[]],[]]],[]]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [1,1,4,2]
[[[],[[[[],[]]]],[]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [7,3,2,4,5,6,1,8] => [1,1,4,2]
[[[],[[[[[]]]]],[]]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [1,5,2]
[[[],[[],[],[],[],[]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [1,1,1,1,2,2]
[[[],[[],[],[[],[]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [1,2,1,2,2]
[[[],[[],[[]],[[]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [2,2,2,2]
[[[],[[],[[],[]],[]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [1,1,2,2,2]
[[[],[[],[[[]]],[]]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [1,3,2,2]
[[[],[[],[[],[],[]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [1,1,2,2,2]
[[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [2,2,2,2]
[[[],[[],[[[]],[]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [1,3,2,2]
[[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [1,3,2,2]
[[[],[[],[[[[]]]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [4,2,2]
[[[],[[[]],[[]],[]]]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [1,2,3,2]
[[[],[[[]],[[],[]]]]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [1,2,3,2]
[[[],[[[]],[[[]]]]]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [3,3,2]
[[[],[[[],[]],[],[]]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [1,1,1,3,2]
[[[],[[[[]]],[],[]]]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [6,5,2,3,4,7,1,8] => [1,1,4,2]
[[[],[[[],[]],[[]]]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [2,1,3,2]
[[[],[[[[]]],[[]]]]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [2,4,2]
[[[],[[[],[[]]],[]]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [1,2,3,2]
[[[],[[[[]],[]],[]]]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [1,1,4,2]
[[[],[[[[],[]]],[]]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [1,1,4,2]
[[[],[[[[[]]]],[]]]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [1,5,2]
[[[],[[[],[],[],[]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [1,1,1,3,2]
[[[],[[[],[],[[]]]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [2,1,3,2]
[[[],[[[],[[]],[]]]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [1,2,3,2]
[[[],[[[],[[[]]]]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [3,3,2]
[[[],[[[[]],[],[]]]]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [1,1,4,2]
[[[],[[[[]],[[]]]]]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [2,4,2]
[[[],[[[[],[]],[]]]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [1,1,4,2]
[[[],[[[[[]]],[]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [1,5,2]
[[[],[[[[],[],[]]]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [1,1,4,2]
[[[],[[[[],[[]]]]]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [2,4,2]
[[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [1,5,2]
[[[],[[[[[],[]]]]]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [1,5,2]
[[[],[[[[[[]]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [6,2]
[[[[]],[],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,3]
[[[[]],[],[],[],[[]]]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [2,1,1,1,3]
[[[[]],[],[],[[]],[]]] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [1,2,1,1,3]
[[[[]],[],[],[[],[]]]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [1,2,1,1,3]
[[[[]],[],[],[[[]]]]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [3,1,1,3]
[[[[]],[],[[]],[],[]]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [1,1,2,1,3]
[[[[]],[],[[],[]],[]]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [1,1,2,1,3]
[[[[]],[],[[[]]],[]]] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [1,3,1,3]
[[[[]],[],[[[],[]]]]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [1,3,1,3]
[[[[]],[],[[[[]]]]]] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [4,1,3]
[[[[]],[[]],[],[],[]]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [1,1,1,2,3]
[[[[]],[[]],[],[[]]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [2,1,2,3]
[[[[]],[[]],[[]],[]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [1,2,2,3]
[[[[]],[[]],[[[]]]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [5,6,7,3,4,1,2,8] => [3,2,3]
[[[[]],[[],[]],[],[]]] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [7,6,4,3,5,1,2,8] => [1,1,1,2,3]
[[[[]],[[],[]],[[]]]] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [2,1,2,3]
[[[[]],[[[]]],[[]]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [2,3,3]
[[[[]],[[],[],[]],[]]] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [1,1,1,2,3]
[[[[]],[[],[[]]],[]]] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [7,4,5,3,6,1,2,8] => [1,2,2,3]
[[[[]],[[[]],[]],[]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [1,1,3,3]
[[[[]],[[[],[]]],[]]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [7,4,3,5,6,1,2,8] => [1,1,3,3]
[[[[]],[[[[]]]],[]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [7,3,4,5,6,1,2,8] => [1,4,3]
[[[[]],[[],[],[],[]]]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [1,1,1,2,3]
[[[[]],[[],[],[[]]]]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [5,6,4,3,7,1,2,8] => [2,1,2,3]
[[[[]],[[],[[],[]]]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [5,4,6,3,7,1,2,8] => [1,2,2,3]
[[[[]],[[[]],[],[]]]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [1,1,3,3]
[[[[]],[[[]],[[]]]]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [2,3,3]
[[[[]],[[[],[]],[]]]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [1,1,3,3]
[[[[]],[[[[]]],[]]]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [1,4,3]
[[[[]],[[[],[[]]]]]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [2,3,3]
[[[[]],[[[[]],[]]]]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [1,4,3]
[[[[]],[[[[],[]]]]]] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [1,4,3]
[[[[]],[[[[[]]]]]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [5,3]
[[[[],[]],[],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [1,1,1,1,1,3]
[[[[[]]],[],[],[],[]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [1,1,1,1,4]
[[[[],[]],[],[],[[]]]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,2,1,3,8] => [2,1,1,1,3]
[[[[[]]],[],[],[[]]]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [2,1,1,4]
[[[[[]]],[],[[]],[]]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [1,2,1,4]
[[[[],[]],[],[[],[]]]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [1,2,1,1,3]
[[[[],[]],[],[[[]]]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [3,1,1,3]
[[[[[]]],[],[[],[]]]] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,1,2,3,8] => [1,2,1,4]
[[[[[]]],[],[[[]]]]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [3,1,4]
[[[[],[]],[[]],[],[]]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [1,1,2,1,3]
[[[[[]]],[[]],[],[]]] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [1,1,2,4]
[[[[],[]],[[]],[[]]]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [6,7,4,5,2,1,3,8] => [2,2,1,3]
[[[[[]]],[[]],[[]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [6,7,4,5,1,2,3,8] => [2,2,4]
[[[[],[]],[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [1,1,2,1,3]
[[[[],[]],[[[]]],[]]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [1,3,1,3]
[[[[[]]],[[],[]],[]]] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [1,1,2,4]
[[[[[]]],[[[]]],[]]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [1,3,4]
[[[[],[]],[[],[],[]]]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [1,1,2,1,3]
[[[[],[]],[[[],[]]]]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [1,3,1,3]
[[[[],[]],[[[[]]]]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [4,1,3]
[[[[[]]],[[],[],[]]]] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,1,2,3,8] => [1,1,2,4]
[[[[[]]],[[],[[]]]]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [2,2,4]
[[[[[]]],[[[]],[]]]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [6,4,5,7,1,2,3,8] => [1,3,4]
[[[[[]]],[[[],[]]]]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [1,3,4]
[[[[[]]],[[[[]]]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [4,4]
[[[[],[],[]],[],[],[]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [1,1,1,1,1,3]
[[[[],[[]]],[],[],[]]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [1,1,1,2,3]
[[[[[]],[]],[],[],[]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [7,6,5,3,1,2,4,8] => [1,1,1,1,4]
[[[[[],[]]],[],[],[]]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [1,1,1,1,4]
[[[[[[]]]],[],[],[]]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [1,1,1,5]
[[[[],[],[]],[],[[]]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [6,7,5,3,2,1,4,8] => [2,1,1,1,3]
[[[[],[[]]],[],[[]]]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [2,1,2,3]
[[[[[]],[]],[],[[]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [2,1,1,4]
[[[[[],[]]],[],[[]]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [2,1,1,4]
[[[[[[]]]],[],[[]]]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [2,1,5]
[[[[],[],[]],[[]],[]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [7,5,6,3,2,1,4,8] => [1,2,1,1,3]
[[[[],[[]]],[[]],[]]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [1,2,2,3]
[[[[[]],[]],[[]],[]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [1,2,1,4]
[[[[[],[]]],[[]],[]]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [1,2,1,4]
[[[[[[]]]],[[]],[]]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [1,2,5]
[[[[],[],[]],[[[]]]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [5,6,7,3,2,1,4,8] => [3,1,1,3]
[[[[],[[]]],[[],[]]]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [1,2,2,3]
[[[[],[[]]],[[[]]]]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [3,2,3]
[[[[[]],[]],[[[]]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [3,1,4]
[[[[[],[]]],[[[]]]]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [3,1,4]
[[[[[[]]]],[[],[]]]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [1,2,5]
[[[[[[]]]],[[[]]]]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [3,5]
[[[[],[],[],[]],[],[]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [1,1,1,1,1,3]
[[[[],[],[[]]],[],[]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [1,1,2,1,3]
[[[[],[[],[]]],[],[]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [1,1,1,2,3]
[[[[],[[[]]]],[],[]]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [1,1,3,3]
[[[[[]],[],[]],[],[]]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [1,1,1,1,4]
[[[[[]],[[]]],[],[]]] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [1,1,2,4]
[[[[[],[]],[]],[],[]]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [1,1,1,1,4]
[[[[[[]]],[]],[],[]]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [1,1,1,5]
[[[[[],[],[]]],[],[]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [1,1,1,1,4]
[[[[[],[[]]]],[],[]]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [1,1,2,4]
[[[[[[]],[]]],[],[]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [1,1,1,5]
[[[[[[[]]]]],[],[]]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [1,1,6]
[[[[],[],[],[]],[[]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [2,1,1,1,3]
[[[[],[[],[]]],[[]]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [2,1,2,3]
[[[[],[[[]]]],[[]]]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [2,3,3]
[[[[[]],[],[]],[[]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [6,7,4,3,1,2,5,8] => [2,1,1,4]
[[[[[]],[[]]],[[]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [2,2,4]
[[[[[],[],[]]],[[]]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [2,1,1,4]
[[[[[],[[]]]],[[]]]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [2,2,4]
[[[[[[]],[]]],[[]]]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [2,1,5]
[[[[[[],[]]]],[[]]]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [6,7,2,1,3,4,5,8] => [2,1,5]
[[[[[[[]]]]],[[]]]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [2,6]
[[[[],[],[],[],[]],[]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [1,1,1,1,1,3]
[[[[],[],[],[[]]],[]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [1,2,1,1,3]
[[[[],[],[[]],[]],[]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [1,1,2,1,3]
[[[[],[],[[],[]]],[]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [1,1,2,1,3]
[[[[],[],[[[]]]],[]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [1,3,1,3]
[[[[],[[]],[],[]],[]]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [1,1,1,2,3]
[[[[],[[]],[[]]],[]]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [7,4,5,2,3,1,6,8] => [1,2,2,3]
[[[[],[[],[]],[]],[]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [1,1,1,2,3]
[[[[],[[[]]],[]],[]]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [1,1,3,3]
[[[[],[[],[],[]]],[]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [1,1,1,2,3]
[[[[],[[[]],[]]],[]]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [1,1,3,3]
[[[[],[[[[]]]]],[]]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [1,4,3]
[[[[[]],[],[[]]],[]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [1,2,1,4]
[[[[[]],[[]],[]],[]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [1,1,2,4]
[[[[[]],[[],[]]],[]]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [7,4,3,5,1,2,6,8] => [1,1,2,4]
[[[[[]],[[[]]]],[]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [1,3,4]
[[[[[[]]],[],[]],[]]] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [1,1,1,5]
[[[[[],[]],[[]]],[]]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [1,2,1,4]
[[[[[[]]],[[]]],[]]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [1,2,5]
[[[[[],[],[]],[]],[]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [1,1,1,1,4]
[[[[[],[[]]],[]],[]]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [1,1,2,4]
[[[[[[]],[]],[]],[]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [1,1,1,5]
[[[[[[],[]]],[]],[]]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [1,1,1,5]
[[[[[[[]]]],[]],[]]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [1,1,6]
[[[[[],[],[],[]]],[]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [1,1,1,1,4]
[[[[[],[],[[]]]],[]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [7,3,4,2,1,5,6,8] => [1,2,1,4]
[[[[[],[[]],[]]],[]]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [1,1,2,4]
[[[[[],[[],[]]]],[]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [7,3,2,4,1,5,6,8] => [1,1,2,4]
[[[[[],[[[]]]]],[]]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [1,3,4]
[[[[[[]],[],[]]],[]]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [1,1,1,5]
[[[[[[]],[[]]]],[]]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [1,2,5]
[[[[[[[]]],[]]],[]]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [1,1,6]
[[[[[[],[],[]]]],[]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [1,1,1,5]
[[[[[[],[[]]]]],[]]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [1,2,5]
[[[[[[[]],[]]]],[]]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [1,1,6]
[[[[[[[],[]]]]],[]]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [1,1,6]
[[[[[[[[]]]]]],[]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [1,7]
[[[[],[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3]
[[[[],[],[],[],[[]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [2,1,1,1,3]
[[[[],[],[],[[]],[]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [6,4,5,3,2,1,7,8] => [1,2,1,1,3]
[[[[],[],[],[[],[]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [1,2,1,1,3]
[[[[],[],[],[[[]]]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [3,1,1,3]
[[[[],[],[[]],[],[]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3]
[[[[],[],[[]],[[]]]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [2,2,1,3]
[[[[],[],[[],[]],[]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [6,4,3,5,2,1,7,8] => [1,1,2,1,3]
[[[[],[],[[[]]],[]]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [1,3,1,3]
[[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [1,1,2,1,3]
[[[[],[],[[],[[]]]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [4,5,3,6,2,1,7,8] => [2,2,1,3]
[[[[],[],[[[],[]]]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [1,3,1,3]
[[[[],[],[[[[]]]]]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [4,1,3]
[[[[],[[]],[],[],[]]]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [1,1,1,2,3]
[[[[],[[]],[],[[]]]]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [5,6,4,2,3,1,7,8] => [2,1,2,3]
[[[[],[[]],[[]],[]]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [6,4,5,2,3,1,7,8] => [1,2,2,3]
[[[[],[[]],[[],[]]]]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [1,2,2,3]
[[[[],[[]],[[[]]]]]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [4,5,6,2,3,1,7,8] => [3,2,3]
[[[[],[[],[]],[],[]]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [1,1,1,2,3]
[[[[],[[[]]],[],[]]]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [1,1,3,3]
[[[[],[[],[]],[[]]]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [2,1,2,3]
[[[[],[[[]]],[[]]]]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [2,3,3]
[[[[],[[],[],[]],[]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [1,1,1,2,3]
[[[[],[[],[[]]],[]]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [1,2,2,3]
[[[[],[[[]],[]],[]]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [1,1,3,3]
[[[[],[[[],[]]],[]]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [1,1,3,3]
[[[[],[[[[]]]],[]]]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [1,4,3]
[[[[],[[],[],[],[]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [1,1,1,2,3]
[[[[],[[],[],[[]]]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [2,1,2,3]
[[[[],[[],[[],[]]]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [1,2,2,3]
[[[[],[[],[[[]]]]]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,2,3]
[[[[],[[[]],[],[]]]]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [5,4,2,3,6,1,7,8] => [1,1,3,3]
[[[[],[[[],[]],[]]]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [1,1,3,3]
[[[[],[[[[]]],[]]]]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [1,4,3]
[[[[],[[[],[],[]]]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [1,1,3,3]
[[[[],[[[],[[]]]]]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [2,3,3]
[[[[],[[[[]],[]]]]]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [1,4,3]
[[[[],[[[[],[]]]]]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [1,4,3]
[[[[],[[[[[]]]]]]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [5,3]
[[[[[]],[],[],[],[]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [1,1,1,1,4]
[[[[[]],[],[],[[]]]]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [2,1,1,4]
[[[[[]],[],[[]],[]]]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [1,2,1,4]
[[[[[]],[],[[],[]]]]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [1,2,1,4]
[[[[[]],[],[[[]]]]]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [3,1,4]
[[[[[]],[[]],[],[]]]] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [1,1,2,4]
[[[[[]],[[]],[[]]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [2,2,4]
[[[[[]],[[],[]],[]]]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [1,1,2,4]
[[[[[]],[[],[],[]]]]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [1,1,2,4]
[[[[[]],[[],[[]]]]]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [4,5,3,6,1,2,7,8] => [2,2,4]
[[[[[]],[[[]],[]]]]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [1,3,4]
[[[[[]],[[[[]]]]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [4,4]
[[[[[],[]],[],[],[]]]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [1,1,1,1,4]
[[[[[[]]],[],[],[]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [1,1,1,5]
[[[[[],[]],[],[[]]]]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [2,1,1,4]
[[[[[],[]],[[]],[]]]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [1,2,1,4]
[[[[[[]]],[[]],[]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [6,4,5,1,2,3,7,8] => [1,2,5]
[[[[[],[]],[[],[]]]]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [1,2,1,4]
[[[[[],[]],[[[]]]]]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [3,1,4]
[[[[[[]]],[[[]]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [3,5]
[[[[[],[],[]],[],[]]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [1,1,1,1,4]
[[[[[],[[]]],[],[]]]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [6,5,2,3,1,4,7,8] => [1,1,2,4]
[[[[[[],[]]],[],[]]]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [6,5,2,1,3,4,7,8] => [1,1,1,5]
[[[[[[[]]]],[],[]]]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [1,1,6]
[[[[[],[],[]],[[]]]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [2,1,1,4]
[[[[[],[[]]],[[]]]]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [2,2,4]
[[[[[[]],[]],[[]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [2,1,5]
[[[[[[[]]]],[[]]]]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [2,6]
[[[[[],[],[],[]],[]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [1,1,1,1,4]
[[[[[],[],[[]]],[]]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [1,2,1,4]
[[[[[],[[],[]]],[]]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [1,1,2,4]
[[[[[],[[[]]]],[]]]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [1,3,4]
[[[[[[]],[],[]],[]]]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [1,1,1,5]
[[[[[[],[]],[]],[]]]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [1,1,1,5]
[[[[[[[]]],[]],[]]]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [1,1,6]
[[[[[[],[],[]]],[]]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [1,1,1,5]
[[[[[[],[[]]]],[]]]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [1,2,5]
[[[[[[[]],[]]],[]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [1,1,6]
[[[[[[[],[]]]],[]]]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [1,1,6]
[[[[[[[[]]]]],[]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [1,7]
[[[[[],[],[],[],[]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4]
[[[[[],[],[],[[]]]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [2,1,1,4]
[[[[[],[],[[]],[]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [1,2,1,4]
[[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [1,2,1,4]
[[[[[],[],[[[]]]]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,1,4]
[[[[[],[[]],[],[]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [1,1,2,4]
[[[[[],[[]],[[]]]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [2,2,4]
[[[[[],[[],[]],[]]]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [1,1,2,4]
[[[[[],[[[]]],[]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [1,3,4]
[[[[[],[[],[],[]]]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [1,1,2,4]
[[[[[],[[],[[]]]]]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [2,2,4]
[[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [1,3,4]
[[[[[],[[[],[]]]]]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [1,3,4]
[[[[[],[[[[]]]]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [4,4]
[[[[[[]],[],[],[]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [1,1,1,5]
[[[[[[]],[],[[]]]]]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [2,1,5]
[[[[[[]],[[]],[]]]]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [1,2,5]
[[[[[[]],[[[]]]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [3,5]
[[[[[[],[]],[],[]]]]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [1,1,1,5]
[[[[[[[]]],[],[]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [1,1,6]
[[[[[[[]]],[[]]]]]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [2,6]
[[[[[[],[],[]],[]]]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [1,1,1,5]
[[[[[[],[[]]],[]]]]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [1,2,5]
[[[[[[[]],[]],[]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [1,1,6]
[[[[[[[],[]]],[]]]]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [1,1,6]
[[[[[[[[]]]],[]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [1,7]
[[[[[[],[],[],[]]]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [1,1,1,5]
[[[[[[],[],[[]]]]]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [2,1,5]
[[[[[[],[[]],[]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [1,2,5]
[[[[[[],[[],[]]]]]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [1,2,5]
[[[[[[],[[[]]]]]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [3,5]
[[[[[[[]],[],[]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [1,1,6]
[[[[[[[]],[[]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [2,6]
[[[[[[[],[]],[]]]]]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [1,1,6]
[[[[[[[[]]],[]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [1,7]
[[[[[[[],[],[]]]]]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [1,1,6]
[[[[[[[],[[]]]]]]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,6]
[[[[[[[[]],[]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [1,7]
[[[[[[[[],[]]]]]]]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [1,7]
[[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8]
[[],[[],[[],[[],[[],[]]]]]] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [1,2,2,2,2,1]
[[[[],[]],[]],[[],[[],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [8,7,9,6,10,4,2,1,3,5] => [1,2,2,1,1,3]
[[[[[[],[]],[]],[]],[]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [1,1,1,1,1,5]
[[],[[],[[],[[],[[],[[],[]]]]]]] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[[[[[[[],[]],[]],[]],[]],[]],[]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [12,10,8,6,4,2,1,3,5,7,9,11] => [1,1,1,1,1,1,6]
Map
to binary tree: right brother = right child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of an ordered tree $t$) obtained from $t$ by the following recursive rule:
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
searching the database
Sorry, this map was not found in the database.