Identifier
Mp00048:
Ordered trees
—left-right symmetry⟶
Ordered trees
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Images
[] => [] => .
[[]] => [[]] => [.,.]
[[],[]] => [[],[]] => [.,[.,.]]
[[[]]] => [[[]]] => [[.,.],.]
[[],[],[]] => [[],[],[]] => [.,[.,[.,.]]]
[[],[[]]] => [[[]],[]] => [[.,.],[.,.]]
[[[]],[]] => [[],[[]]] => [.,[[.,.],.]]
[[[],[]]] => [[[],[]]] => [[.,[.,.]],.]
[[[[]]]] => [[[[]]]] => [[[.,.],.],.]
[[],[],[],[]] => [[],[],[],[]] => [.,[.,[.,[.,.]]]]
[[],[],[[]]] => [[[]],[],[]] => [[.,.],[.,[.,.]]]
[[],[[]],[]] => [[],[[]],[]] => [.,[[.,.],[.,.]]]
[[],[[],[]]] => [[[],[]],[]] => [[.,[.,.]],[.,.]]
[[],[[[]]]] => [[[[]]],[]] => [[[.,.],.],[.,.]]
[[[]],[],[]] => [[],[],[[]]] => [.,[.,[[.,.],.]]]
[[[]],[[]]] => [[[]],[[]]] => [[.,.],[[.,.],.]]
[[[],[]],[]] => [[],[[],[]]] => [.,[[.,[.,.]],.]]
[[[[]]],[]] => [[],[[[]]]] => [.,[[[.,.],.],.]]
[[[],[],[]]] => [[[],[],[]]] => [[.,[.,[.,.]]],.]
[[[],[[]]]] => [[[[]],[]]] => [[[.,.],[.,.]],.]
[[[[]],[]]] => [[[],[[]]]] => [[.,[[.,.],.]],.]
[[[[],[]]]] => [[[[],[]]]] => [[[.,[.,.]],.],.]
[[[[[]]]]] => [[[[[]]]]] => [[[[.,.],.],.],.]
[[],[],[],[],[]] => [[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]]
[[],[],[],[[]]] => [[[]],[],[],[]] => [[.,.],[.,[.,[.,.]]]]
[[],[],[[]],[]] => [[],[[]],[],[]] => [.,[[.,.],[.,[.,.]]]]
[[],[],[[],[]]] => [[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]]
[[],[],[[[]]]] => [[[[]]],[],[]] => [[[.,.],.],[.,[.,.]]]
[[],[[]],[],[]] => [[],[],[[]],[]] => [.,[.,[[.,.],[.,.]]]]
[[],[[]],[[]]] => [[[]],[[]],[]] => [[.,.],[[.,.],[.,.]]]
[[],[[],[]],[]] => [[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]]
[[],[[[]]],[]] => [[],[[[]]],[]] => [.,[[[.,.],.],[.,.]]]
[[],[[],[],[]]] => [[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]]
[[],[[],[[]]]] => [[[[]],[]],[]] => [[[.,.],[.,.]],[.,.]]
[[],[[[]],[]]] => [[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]]
[[],[[[],[]]]] => [[[[],[]]],[]] => [[[.,[.,.]],.],[.,.]]
[[],[[[[]]]]] => [[[[[]]]],[]] => [[[[.,.],.],.],[.,.]]
[[[]],[],[],[]] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]]
[[[]],[],[[]]] => [[[]],[],[[]]] => [[.,.],[.,[[.,.],.]]]
[[[]],[[]],[]] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]]
[[[]],[[],[]]] => [[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]]
[[[]],[[[]]]] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]]
[[[],[]],[],[]] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]]
[[[[]]],[],[]] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]]
[[[],[]],[[]]] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]]
[[[[]]],[[]]] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]]
[[[],[],[]],[]] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]]
[[[],[[]]],[]] => [[],[[[]],[]]] => [.,[[[.,.],[.,.]],.]]
[[[[]],[]],[]] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]]
[[[[],[]]],[]] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]]
[[[[[]]]],[]] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]]
[[[],[],[],[]]] => [[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.]
[[[],[],[[]]]] => [[[[]],[],[]]] => [[[.,.],[.,[.,.]]],.]
[[[],[[]],[]]] => [[[],[[]],[]]] => [[.,[[.,.],[.,.]]],.]
[[[],[[],[]]]] => [[[[],[]],[]]] => [[[.,[.,.]],[.,.]],.]
[[[],[[[]]]]] => [[[[[]]],[]]] => [[[[.,.],.],[.,.]],.]
[[[[]],[],[]]] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.]
[[[[]],[[]]]] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.]
[[[[],[]],[]]] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.]
[[[[[]]],[]]] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.]
[[[[],[],[]]]] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.]
[[[[],[[]]]]] => [[[[[]],[]]]] => [[[[.,.],[.,.]],.],.]
[[[[[]],[]]]] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.]
[[[[[],[]]]]] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.]
[[[[[[]]]]]] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.]
[[],[],[],[],[],[]] => [[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[]]] => [[[]],[],[],[],[]] => [[.,.],[.,[.,[.,[.,.]]]]]
[[],[],[],[[]],[]] => [[],[[]],[],[],[]] => [.,[[.,.],[.,[.,[.,.]]]]]
[[],[],[],[[],[]]] => [[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]]
[[],[],[],[[[]]]] => [[[[]]],[],[],[]] => [[[.,.],.],[.,[.,[.,.]]]]
[[],[],[[]],[],[]] => [[],[],[[]],[],[]] => [.,[.,[[.,.],[.,[.,.]]]]]
[[],[],[[]],[[]]] => [[[]],[[]],[],[]] => [[.,.],[[.,.],[.,[.,.]]]]
[[],[],[[],[]],[]] => [[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]]
[[],[],[[[]]],[]] => [[],[[[]]],[],[]] => [.,[[[.,.],.],[.,[.,.]]]]
[[],[],[[],[],[]]] => [[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]]
[[],[],[[],[[]]]] => [[[[]],[]],[],[]] => [[[.,.],[.,.]],[.,[.,.]]]
[[],[],[[[]],[]]] => [[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]]
[[],[],[[[],[]]]] => [[[[],[]]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]]
[[],[],[[[[]]]]] => [[[[[]]]],[],[]] => [[[[.,.],.],.],[.,[.,.]]]
[[],[[]],[],[],[]] => [[],[],[],[[]],[]] => [.,[.,[.,[[.,.],[.,.]]]]]
[[],[[]],[],[[]]] => [[[]],[],[[]],[]] => [[.,.],[.,[[.,.],[.,.]]]]
[[],[[]],[[]],[]] => [[],[[]],[[]],[]] => [.,[[.,.],[[.,.],[.,.]]]]
[[],[[]],[[],[]]] => [[[],[]],[[]],[]] => [[.,[.,.]],[[.,.],[.,.]]]
[[],[[]],[[[]]]] => [[[[]]],[[]],[]] => [[[.,.],.],[[.,.],[.,.]]]
[[],[[],[]],[],[]] => [[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]]
[[],[[[]]],[],[]] => [[],[],[[[]]],[]] => [.,[.,[[[.,.],.],[.,.]]]]
[[],[[],[]],[[]]] => [[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]]
[[],[[[]]],[[]]] => [[[]],[[[]]],[]] => [[.,.],[[[.,.],.],[.,.]]]
[[],[[],[],[]],[]] => [[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]]
[[],[[],[[]]],[]] => [[],[[[]],[]],[]] => [.,[[[.,.],[.,.]],[.,.]]]
[[],[[[]],[]],[]] => [[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]]
[[],[[[],[]]],[]] => [[],[[[],[]]],[]] => [.,[[[.,[.,.]],.],[.,.]]]
[[],[[[[]]]],[]] => [[],[[[[]]]],[]] => [.,[[[[.,.],.],.],[.,.]]]
[[],[[],[],[],[]]] => [[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]]
[[],[[],[],[[]]]] => [[[[]],[],[]],[]] => [[[.,.],[.,[.,.]]],[.,.]]
[[],[[],[[]],[]]] => [[[],[[]],[]],[]] => [[.,[[.,.],[.,.]]],[.,.]]
[[],[[],[[],[]]]] => [[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]]
[[],[[],[[[]]]]] => [[[[[]]],[]],[]] => [[[[.,.],.],[.,.]],[.,.]]
[[],[[[]],[],[]]] => [[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]]
[[],[[[]],[[]]]] => [[[[]],[[]]],[]] => [[[.,.],[[.,.],.]],[.,.]]
[[],[[[],[]],[]]] => [[[],[[],[]]],[]] => [[.,[[.,[.,.]],.]],[.,.]]
>>> Load all 2230 entries. <<<
[[],[[[[]]],[]]] => [[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]]
[[],[[[],[],[]]]] => [[[[],[],[]]],[]] => [[[.,[.,[.,.]]],.],[.,.]]
[[],[[[],[[]]]]] => [[[[[]],[]]],[]] => [[[[.,.],[.,.]],.],[.,.]]
[[],[[[[]],[]]]] => [[[[],[[]]]],[]] => [[[.,[[.,.],.]],.],[.,.]]
[[],[[[[],[]]]]] => [[[[[],[]]]],[]] => [[[[.,[.,.]],.],.],[.,.]]
[[],[[[[[]]]]]] => [[[[[[]]]]],[]] => [[[[[.,.],.],.],.],[.,.]]
[[[]],[],[],[],[]] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]]
[[[]],[],[],[[]]] => [[[]],[],[],[[]]] => [[.,.],[.,[.,[[.,.],.]]]]
[[[]],[],[[]],[]] => [[],[[]],[],[[]]] => [.,[[.,.],[.,[[.,.],.]]]]
[[[]],[],[[],[]]] => [[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]]
[[[]],[],[[[]]]] => [[[[]]],[],[[]]] => [[[.,.],.],[.,[[.,.],.]]]
[[[]],[[]],[],[]] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]]
[[[]],[[]],[[]]] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]]
[[[]],[[],[]],[]] => [[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]]
[[[]],[[[]]],[]] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]]
[[[]],[[],[],[]]] => [[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]]
[[[]],[[],[[]]]] => [[[[]],[]],[[]]] => [[[.,.],[.,.]],[[.,.],.]]
[[[]],[[[]],[]]] => [[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]]
[[[]],[[[],[]]]] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]]
[[[]],[[[[]]]]] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]]
[[[],[]],[],[],[]] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]]
[[[[]]],[],[],[]] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]]
[[[],[]],[],[[]]] => [[[]],[],[[],[]]] => [[.,.],[.,[[.,[.,.]],.]]]
[[[[]]],[],[[]]] => [[[]],[],[[[]]]] => [[.,.],[.,[[[.,.],.],.]]]
[[[],[]],[[]],[]] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]]
[[[[]]],[[]],[]] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]]
[[[],[]],[[],[]]] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]]
[[[],[]],[[[]]]] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]]
[[[[]]],[[],[]]] => [[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]]
[[[[]]],[[[]]]] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]]
[[[],[],[]],[],[]] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]]
[[[],[[]]],[],[]] => [[],[],[[[]],[]]] => [.,[.,[[[.,.],[.,.]],.]]]
[[[[]],[]],[],[]] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]]
[[[[],[]]],[],[]] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]]
[[[[[]]]],[],[]] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]]
[[[],[],[]],[[]]] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]]
[[[],[[]]],[[]]] => [[[]],[[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]]
[[[[]],[]],[[]]] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]]
[[[[],[]]],[[]]] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]]
[[[[[]]]],[[]]] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]]
[[[],[],[],[]],[]] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]]
[[[],[],[[]]],[]] => [[],[[[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],.]]
[[[],[[]],[]],[]] => [[],[[],[[]],[]]] => [.,[[.,[[.,.],[.,.]]],.]]
[[[],[[],[]]],[]] => [[],[[[],[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]]
[[[],[[[]]]],[]] => [[],[[[[]]],[]]] => [.,[[[[.,.],.],[.,.]],.]]
[[[[]],[],[]],[]] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]]
[[[[]],[[]]],[]] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]]
[[[[],[]],[]],[]] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]]
[[[[[]]],[]],[]] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]]
[[[[],[],[]]],[]] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]]
[[[[],[[]]]],[]] => [[],[[[[]],[]]]] => [.,[[[[.,.],[.,.]],.],.]]
[[[[[]],[]]],[]] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]]
[[[[[],[]]]],[]] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]]
[[[[[[]]]]],[]] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]]
[[[],[],[],[],[]]] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.]
[[[],[],[],[[]]]] => [[[[]],[],[],[]]] => [[[.,.],[.,[.,[.,.]]]],.]
[[[],[],[[]],[]]] => [[[],[[]],[],[]]] => [[.,[[.,.],[.,[.,.]]]],.]
[[[],[],[[],[]]]] => [[[[],[]],[],[]]] => [[[.,[.,.]],[.,[.,.]]],.]
[[[],[],[[[]]]]] => [[[[[]]],[],[]]] => [[[[.,.],.],[.,[.,.]]],.]
[[[],[[]],[],[]]] => [[[],[],[[]],[]]] => [[.,[.,[[.,.],[.,.]]]],.]
[[[],[[]],[[]]]] => [[[[]],[[]],[]]] => [[[.,.],[[.,.],[.,.]]],.]
[[[],[[],[]],[]]] => [[[],[[],[]],[]]] => [[.,[[.,[.,.]],[.,.]]],.]
[[[],[[[]]],[]]] => [[[],[[[]]],[]]] => [[.,[[[.,.],.],[.,.]]],.]
[[[],[[],[],[]]]] => [[[[],[],[]],[]]] => [[[.,[.,[.,.]]],[.,.]],.]
[[[],[[],[[]]]]] => [[[[[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],.]
[[[],[[[]],[]]]] => [[[[],[[]]],[]]] => [[[.,[[.,.],.]],[.,.]],.]
[[[],[[[],[]]]]] => [[[[[],[]]],[]]] => [[[[.,[.,.]],.],[.,.]],.]
[[[],[[[[]]]]]] => [[[[[[]]]],[]]] => [[[[[.,.],.],.],[.,.]],.]
[[[[]],[],[],[]]] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.]
[[[[]],[],[[]]]] => [[[[]],[],[[]]]] => [[[.,.],[.,[[.,.],.]]],.]
[[[[]],[[]],[]]] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.]
[[[[]],[[],[]]]] => [[[[],[]],[[]]]] => [[[.,[.,.]],[[.,.],.]],.]
[[[[]],[[[]]]]] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.]
[[[[],[]],[],[]]] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.]
[[[[[]]],[],[]]] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.]
[[[[],[]],[[]]]] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.]
[[[[[]]],[[]]]] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.]
[[[[],[],[]],[]]] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.]
[[[[],[[]]],[]]] => [[[],[[[]],[]]]] => [[.,[[[.,.],[.,.]],.]],.]
[[[[[]],[]],[]]] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.]
[[[[[],[]]],[]]] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.]
[[[[[[]]]],[]]] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.]
[[[[],[],[],[]]]] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.]
[[[[],[],[[]]]]] => [[[[[]],[],[]]]] => [[[[.,.],[.,[.,.]]],.],.]
[[[[],[[]],[]]]] => [[[[],[[]],[]]]] => [[[.,[[.,.],[.,.]]],.],.]
[[[[],[[],[]]]]] => [[[[[],[]],[]]]] => [[[[.,[.,.]],[.,.]],.],.]
[[[[],[[[]]]]]] => [[[[[[]]],[]]]] => [[[[[.,.],.],[.,.]],.],.]
[[[[[]],[],[]]]] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.]
[[[[[]],[[]]]]] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.]
[[[[[],[]],[]]]] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.]
[[[[[[]]],[]]]] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.]
[[[[[],[],[]]]]] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.]
[[[[[],[[]]]]]] => [[[[[[]],[]]]]] => [[[[[.,.],[.,.]],.],.],.]
[[[[[[]],[]]]]] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.]
[[[[[[],[]]]]]] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.]
[[[[[[[]]]]]]] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.]
[[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,.]]]]]
[[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]]
[[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,.]]]]
[[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]] => [[[.,.],.],[[.,.],[.,[.,.]]]]
[[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]] => [[.,.],[[[.,.],.],[.,[.,.]]]]
[[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]] => [.,[[[.,.],[.,.]],[.,[.,.]]]]
[[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]]
[[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]]
[[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => [.,[[[[.,.],.],.],[.,[.,.]]]]
[[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]] => [[[.,.],[[.,.],.]],[.,[.,.]]]
[[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]]
[[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]] => [[[[.,.],[.,.]],.],[.,[.,.]]]
[[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]]
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[[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]] => [[[[[.,.],.],.],.],[.,[.,.]]]
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[[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]]
[[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]] => [[.,.],[[[.,.],[[.,.],.]],.]]
[[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,[.,.]],.]],.]]
[[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]]
[[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]] => [[.,.],[[[.,[.,[.,.]]],.],.]]
[[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],[.,.]],.],.]]
[[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]] => [[.,.],[[[.,[[.,.],.]],.],.]]
[[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]] => [[.,.],[[[[.,[.,.]],.],.],.]]
[[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]]
[[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]]
[[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]]
[[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]]
[[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]]
[[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]]
[[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]]
[[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]]
[[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]]
[[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]]
[[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]]
[[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]]
[[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]]
[[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]]
[[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]]
[[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]]
[[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]]
[[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]]
[[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]] => [.,[[[.,[.,.]],[[.,.],.]],.]]
[[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],.]]
[[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]]
[[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]]
[[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]]
[[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]]
[[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]]
[[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]]
[[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]]
[[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]]
[[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]]
[[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]]
[[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]]
[[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]]
[[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]] => [.,[[[[.,[.,.]],[.,.]],.],.]]
[[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],[.,.]],.],.]]
[[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]]
[[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]]
[[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]]
[[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]] => [.,[[[.,[[[.,.],.],.]],.],.]]
[[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]]
[[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]]
[[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]] => [.,[[[[.,[[.,.],.]],.],.],.]]
[[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => [.,[[[[[.,[.,.]],.],.],.],.]]
[[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]]
[[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.]
[[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]] => [[[.,.],[[.,.],[.,[.,.]]]],.]
[[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.]
[[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],.]
[[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]] => [[[.,[[.,.],.]],[.,[.,.]]],.]
[[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]] => [[[[.,[.,.]],.],[.,[.,.]]],.]
[[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]] => [[[[[.,.],.],.],[.,[.,.]]],.]
[[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]] => [[[.,.],[.,[[.,.],[.,.]]]],.]
[[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]] => [[.,[[.,.],[[.,.],[.,.]]]],.]
[[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.]
[[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]] => [[[[.,.],.],[[.,.],[.,.]]],.]
[[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.]
[[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]] => [[[.,.],[[.,[.,.]],[.,.]]],.]
[[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]] => [[[.,.],[[[.,.],.],[.,.]]],.]
[[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.]
[[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]] => [[.,[[.,[[.,.],.]],[.,.]]],.]
[[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]] => [[.,[[[.,[.,.]],.],[.,.]]],.]
[[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]] => [[.,[[[[.,.],.],.],[.,.]]],.]
[[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.]
[[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]] => [[[[.,.],[.,[.,.]]],[.,.]],.]
[[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],.]
[[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],.]
[[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],.]
[[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]] => [[[.,[.,[[.,.],.]]],[.,.]],.]
[[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],.]
[[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],.]
[[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]] => [[[.,[[[.,.],.],.]],[.,.]],.]
[[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]] => [[[[.,[.,[.,.]]],.],[.,.]],.]
[[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],.]
[[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]] => [[[[.,[[.,.],.]],.],[.,.]],.]
[[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]] => [[[[[.,[.,.]],.],.],[.,.]],.]
[[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],[.,.]],.]
[[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.]
[[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.]
[[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.]
[[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]] => [[[.,[.,.]],[.,[[.,.],.]]],.]
[[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]] => [[[[.,.],.],[.,[[.,.],.]]],.]
[[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.]
[[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => [[[.,.],[[.,.],[[.,.],.]]],.]
[[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]] => [[.,[[.,[.,.]],[[.,.],.]]],.]
[[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => [[[.,[.,[.,.]]],[[.,.],.]],.]
[[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]] => [[[[.,.],[.,.]],[[.,.],.]],.]
[[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]] => [[[.,[[.,.],.]],[[.,.],.]],.]
[[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => [[[[.,[.,.]],.],[[.,.],.]],.]
[[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => [[[[[.,.],.],.],[[.,.],.]],.]
[[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.]
[[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.]
[[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.]
[[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.]
[[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.]
[[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],.]
[[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.]
[[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]] => [[[.,[.,.]],[[[.,.],.],.]],.]
[[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]] => [[[[.,.],.],[[[.,.],.],.]],.]
[[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.]
[[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.]
[[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.]
[[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.]
[[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.]
[[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],[.,.]],.]],.]
[[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.]
[[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]] => [[[.,.],[[[.,[.,.]],.],.]],.]
[[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.]
[[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.]
[[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.]
[[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],.]
[[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],[.,.]],.]],.]
[[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.]
[[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.]
[[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.]
[[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]] => [[.,[[.,[[[.,.],.],.]],.]],.]
[[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.]
[[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.]
[[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => [[.,[[[.,[[.,.],.]],.],.]],.]
[[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]] => [[.,[[[[.,[.,.]],.],.],.]],.]
[[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.]
[[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.]
[[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.]
[[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.]
[[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]] => [[[[[.,.],.],[.,[.,.]]],.],.]
[[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.]
[[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],.],.]
[[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]] => [[[.,[[.,[.,.]],[.,.]]],.],.]
[[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]] => [[[.,[[[.,.],.],[.,.]]],.],.]
[[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.]
[[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],.],.]
[[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]] => [[[[.,[[.,.],.]],[.,.]],.],.]
[[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]] => [[[[[.,[.,.]],.],[.,.]],.],.]
[[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],[.,.]],.],.]
[[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.]
[[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.]
[[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.]
[[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]] => [[[[.,[.,.]],[[.,.],.]],.],.]
[[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]] => [[[[[.,.],.],[[.,.],.]],.],.]
[[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.]
[[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => [[[.,[.,[[[.,.],.],.]]],.],.]
[[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.]
[[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.]
[[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.]
[[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.]
[[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]]] => [[[.,[[.,[[.,.],.]],.]],.],.]
[[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]]] => [[[.,[[[.,[.,.]],.],.]],.],.]
[[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]] => [[[.,[[[[.,.],.],.],.]],.],.]
[[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.]
[[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.]
[[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.]
[[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.]
[[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]] => [[[[[[.,.],.],[.,.]],.],.],.]
[[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]] => [[[[.,[.,[[.,.],.]]],.],.],.]
[[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.]
[[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]] => [[[[.,[[.,[.,.]],.]],.],.],.]
[[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]] => [[[[.,[[[.,.],.],.]],.],.],.]
[[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.]
[[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.]
[[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]]] => [[[[[.,[[.,.],.]],.],.],.],.]
[[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.]
[[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.]
[[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[],[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[[],[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[],[]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
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[[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]]
[[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]]
[[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]
[[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]]
[[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]]
[[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]]
[[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]]
[[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]
[[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]]
[[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]
[[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]
[[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]]
[[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]]
[[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]]
[[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]
[[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]]
[[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]]
[[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]]
[[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]]
[[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]]
[[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]
[[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]]
[[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]]
[[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]]
[[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]]
[[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]]
[[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]]
[[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]
[[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]]
[[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]]
[[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]]
[[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]]
[[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]]
[[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]]
[[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]]
[[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]]
[[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]]
[[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]]
[[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]]
[[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]]
[[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[[[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[]]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[[[],[],[],[],[[],[]]]] => [[[[],[]],[],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[[[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[]]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[[[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[[],[],[],[[]],[[]]]] => [[[[]],[[]],[],[],[]]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[[[],[],[],[[],[]],[]]] => [[[],[[],[]],[],[],[]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[[[],[],[],[[[]]],[]]] => [[[],[[[]]],[],[],[]]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[[],[],[],[[],[],[]]]] => [[[[],[],[]],[],[],[]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[[],[],[],[[],[[]]]]] => [[[[[]],[]],[],[],[]]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[[[],[],[],[[[]],[]]]] => [[[[],[[]]],[],[],[]]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[[[],[],[],[[[],[]]]]] => [[[[[],[]]],[],[],[]]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[[[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[]]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[[[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[[],[],[[]],[],[[]]]] => [[[[]],[],[[]],[],[]]] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[[[],[],[[]],[[]],[]]] => [[[],[[]],[[]],[],[]]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[[[],[],[[]],[[],[]]]] => [[[[],[]],[[]],[],[]]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[]]] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[[[],[],[[],[]],[],[]]] => [[[],[],[[],[]],[],[]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[[[],[],[[[]]],[],[]]] => [[[],[],[[[]]],[],[]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[[],[],[[],[]],[[]]]] => [[[[]],[[],[]],[],[]]] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[[[],[],[[[]]],[[]]]] => [[[[]],[[[]]],[],[]]] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[[[],[],[[],[],[]],[]]] => [[[],[[],[],[]],[],[]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[[[],[],[[],[[]]],[]]] => [[[],[[[]],[]],[],[]]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[[[],[],[[[]],[]],[]]] => [[[],[[],[[]]],[],[]]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[[[],[],[[[],[]]],[]]] => [[[],[[[],[]]],[],[]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[[[],[],[[[[]]]],[]]] => [[[],[[[[]]]],[],[]]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[[[],[],[[],[],[],[]]]] => [[[[],[],[],[]],[],[]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[[[],[],[[],[],[[]]]]] => [[[[[]],[],[]],[],[]]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[[[],[],[[],[[]],[]]]] => [[[[],[[]],[]],[],[]]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[[[],[],[[],[[],[]]]]] => [[[[[],[]],[]],[],[]]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[[[],[],[[],[[[]]]]]] => [[[[[[]]],[]],[],[]]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[[[],[],[[[]],[],[]]]] => [[[[],[],[[]]],[],[]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[[[],[],[[[]],[[]]]]] => [[[[[]],[[]]],[],[]]] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[[[],[],[[[],[]],[]]]] => [[[[],[[],[]]],[],[]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[[[],[],[[[[]]],[]]]] => [[[[],[[[]]]],[],[]]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[[[],[],[[[],[],[]]]]] => [[[[[],[],[]]],[],[]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[[[],[],[[[],[[]]]]]] => [[[[[[]],[]]],[],[]]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[[[],[],[[[[]],[]]]]] => [[[[[],[[]]]],[],[]]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[[[],[],[[[[],[]]]]]] => [[[[[[],[]]]],[],[]]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[[[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[]]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[[[],[[]],[],[],[],[]]] => [[[],[],[],[],[[]],[]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[[],[[]],[],[],[[]]]] => [[[[]],[],[],[[]],[]]] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[[[],[[]],[],[[]],[]]] => [[[],[[]],[],[[]],[]]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[[[],[[]],[],[[],[]]]] => [[[[],[]],[],[[]],[]]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[[[],[[]],[],[[[]]]]] => [[[[[]]],[],[[]],[]]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[[[],[[]],[[]],[],[]]] => [[[],[],[[]],[[]],[]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[[[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[]]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[[[],[[]],[[],[]],[]]] => [[[],[[],[]],[[]],[]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[[[],[[]],[[[]]],[]]] => [[[],[[[]]],[[]],[]]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[[],[[]],[[],[],[]]]] => [[[[],[],[]],[[]],[]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[[[],[[]],[[[]],[]]]] => [[[[],[[]]],[[]],[]]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[[[],[[]],[[[],[]]]]] => [[[[[],[]]],[[]],[]]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[[[],[[]],[[[[]]]]]] => [[[[[[]]]],[[]],[]]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[[[],[[],[]],[],[],[]]] => [[[],[],[],[[],[]],[]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[[[],[[[]]],[],[],[]]] => [[[],[],[],[[[]]],[]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[[],[[],[]],[],[[]]]] => [[[[]],[],[[],[]],[]]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[[[],[[[]]],[],[[]]]] => [[[[]],[],[[[]]],[]]] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[[[],[[],[]],[[]],[]]] => [[[],[[]],[[],[]],[]]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[[[],[[[]]],[[]],[]]] => [[[],[[]],[[[]]],[]]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[[[],[[],[]],[[],[]]]] => [[[[],[]],[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[[[],[[],[]],[[[]]]]] => [[[[[]]],[[],[]],[]]] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[[[],[[[]]],[[],[]]]] => [[[[],[]],[[[]]],[]]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[[[],[[[]]],[[[]]]]] => [[[[[]]],[[[]]],[]]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[[[],[[],[],[]],[],[]]] => [[[],[],[[],[],[]],[]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[[[],[[],[[]]],[],[]]] => [[[],[],[[[]],[]],[]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[[],[[[]],[]],[],[]]] => [[[],[],[[],[[]]],[]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[[[],[[[],[]]],[],[]]] => [[[],[],[[[],[]]],[]]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[[[],[[[[]]]],[],[]]] => [[[],[],[[[[]]]],[]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[[[],[[],[],[]],[[]]]] => [[[[]],[[],[],[]],[]]] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[[[],[[],[[]]],[[]]]] => [[[[]],[[[]],[]],[]]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[[[],[[[]],[]],[[]]]] => [[[[]],[[],[[]]],[]]] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[[[],[[[],[]]],[[]]]] => [[[[]],[[[],[]]],[]]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[[[],[[[[]]]],[[]]]] => [[[[]],[[[[]]]],[]]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.]
[[[],[[],[],[],[]],[]]] => [[[],[[],[],[],[]],[]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[[[],[[],[],[[]]],[]]] => [[[],[[[]],[],[]],[]]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[[[],[[],[[]],[]],[]]] => [[[],[[],[[]],[]],[]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[[[],[[],[[],[]]],[]]] => [[[],[[[],[]],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[[[],[[],[[[]]]],[]]] => [[[],[[[[]]],[]],[]]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[[[],[[[]],[],[]],[]]] => [[[],[[],[],[[]]],[]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[[[],[[[]],[[]]],[]]] => [[[],[[[]],[[]]],[]]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[[[],[[[],[]],[]],[]]] => [[[],[[],[[],[]]],[]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[[[],[[[[]]],[]],[]]] => [[[],[[],[[[]]]],[]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.]
[[[],[[[],[],[]]],[]]] => [[[],[[[],[],[]]],[]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[[[],[[[],[[]]]],[]]] => [[[],[[[[]],[]]],[]]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[[[],[[[[]],[]]],[]]] => [[[],[[[],[[]]]],[]]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[[[],[[[[],[]]]],[]]] => [[[],[[[[],[]]]],[]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.]
[[[],[[[[[]]]]],[]]] => [[[],[[[[[]]]]],[]]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.]
[[[],[[],[],[],[],[]]]] => [[[[],[],[],[],[]],[]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[[],[[],[],[],[[]]]]] => [[[[[]],[],[],[]],[]]] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[[[],[[],[],[[]],[]]]] => [[[[],[[]],[],[]],[]]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[[[],[[],[],[[],[]]]]] => [[[[[],[]],[],[]],[]]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[[],[[],[],[[[]]]]]] => [[[[[[]]],[],[]],[]]] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[[[],[[],[[]],[],[]]]] => [[[[],[],[[]],[]],[]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[[[],[[],[[]],[[]]]]] => [[[[[]],[[]],[]],[]]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[[[],[[],[[],[]],[]]]] => [[[[],[[],[]],[]],[]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[[[],[[],[[[]]],[]]]] => [[[[],[[[]]],[]],[]]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[[[],[[],[[],[],[]]]]] => [[[[[],[],[]],[]],[]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[[[],[[],[[],[[]]]]]] => [[[[[[]],[]],[]],[]]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[[[],[[],[[[]],[]]]]] => [[[[[],[[]]],[]],[]]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[[[],[[],[[[],[]]]]]] => [[[[[[],[]]],[]],[]]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[[[],[[],[[[[]]]]]]] => [[[[[[[]]]],[]],[]]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[[[],[[[]],[],[],[]]]] => [[[[],[],[],[[]]],[]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[[[],[[[]],[],[[]]]]] => [[[[[]],[],[[]]],[]]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[[[],[[[]],[[]],[]]]] => [[[[],[[]],[[]]],[]]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[[[],[[[]],[[],[]]]]] => [[[[[],[]],[[]]],[]]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[[[],[[[]],[[[]]]]]] => [[[[[[]]],[[]]],[]]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.]
[[[],[[[],[]],[],[]]]] => [[[[],[],[[],[]]],[]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[[[],[[[[]]],[],[]]]] => [[[[],[],[[[]]]],[]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[[[],[[[],[]],[[]]]]] => [[[[[]],[[],[]]],[]]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[[[],[[[[]]],[[]]]]] => [[[[[]],[[[]]]],[]]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]
[[[],[[[],[],[]],[]]]] => [[[[],[[],[],[]]],[]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[[[],[[[],[[]]],[]]]] => [[[[],[[[]],[]]],[]]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[[[],[[[[]],[]],[]]]] => [[[[],[[],[[]]]],[]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[[[],[[[[],[]]],[]]]] => [[[[],[[[],[]]]],[]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[[[],[[[[[]]]],[]]]] => [[[[],[[[[]]]]],[]]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.]
[[[],[[[],[],[],[]]]]] => [[[[[],[],[],[]]],[]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[[[],[[[],[],[[]]]]]] => [[[[[[]],[],[]]],[]]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[[[],[[[],[[]],[]]]]] => [[[[[],[[]],[]]],[]]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[[[],[[[],[[],[]]]]]] => [[[[[[],[]],[]]],[]]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[[[],[[[],[[[]]]]]]] => [[[[[[[]]],[]]],[]]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.]
[[[],[[[[]],[],[]]]]] => [[[[[],[],[[]]]],[]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[[[],[[[[]],[[]]]]]] => [[[[[[]],[[]]]],[]]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.]
[[[],[[[[],[]],[]]]]] => [[[[[],[[],[]]]],[]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[[[],[[[[[]]],[]]]]] => [[[[[],[[[]]]]],[]]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.]
[[[],[[[[],[],[]]]]]] => [[[[[[],[],[]]]],[]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[[[],[[[[],[[]]]]]]] => [[[[[[[]],[]]]],[]]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.]
[[[],[[[[[]],[]]]]]] => [[[[[[],[[]]]]],[]]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.]
[[[],[[[[[],[]]]]]]] => [[[[[[[],[]]]]],[]]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.]
[[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]]] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[[[]],[],[],[],[[]]]] => [[[[]],[],[],[],[[]]]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[[[[]],[],[],[[]],[]]] => [[[],[[]],[],[],[[]]]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[[[[]],[],[],[[],[]]]] => [[[[],[]],[],[],[[]]]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[[[[]],[],[],[[[]]]]] => [[[[[]]],[],[],[[]]]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[[[[]],[],[[]],[],[]]] => [[[],[],[[]],[],[[]]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[[[[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[]]]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[[[[]],[],[[[]]],[]]] => [[[],[[[]]],[],[[]]]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[[[]],[],[[],[],[]]]] => [[[[],[],[]],[],[[]]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[[[[]],[],[[],[[]]]]] => [[[[[]],[]],[],[[]]]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[[[[]],[],[[[]],[]]]] => [[[[],[[]]],[],[[]]]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[[[[]],[],[[[],[]]]]] => [[[[[],[]]],[],[[]]]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[[[[]],[],[[[[]]]]]] => [[[[[[]]]],[],[[]]]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.]
[[[[]],[[]],[],[],[]]] => [[[],[],[],[[]],[[]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[[[[]],[[]],[[],[]]]] => [[[[],[]],[[]],[[]]]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]]]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[[[[]],[[[]]],[[]]]] => [[[[]],[[[]]],[[]]]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.]
[[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[[[[]],[[[],[]]],[]]] => [[[],[[[],[]]],[[]]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[[[[]],[[[[]]]],[]]] => [[[],[[[[]]]],[[]]]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.]
[[[[]],[[],[],[],[]]]] => [[[[],[],[],[]],[[]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[[[[]],[[],[],[[]]]]] => [[[[[]],[],[]],[[]]]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[[[[]],[[],[[]],[]]]] => [[[[],[[]],[]],[[]]]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[[[[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[]]]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[[[[]],[[],[[[]]]]]] => [[[[[[]]],[]],[[]]]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.]
[[[[]],[[[]],[],[]]]] => [[[[],[],[[]]],[[]]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[[[[]],[[[]],[[]]]]] => [[[[[]],[[]]],[[]]]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]
[[[[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[]]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[[[[]],[[[[]]],[]]]] => [[[[],[[[]]]],[[]]]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.]
[[[[]],[[[],[],[]]]]] => [[[[[],[],[]]],[[]]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[[[[]],[[[],[[]]]]]] => [[[[[[]],[]]],[[]]]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.]
[[[[]],[[[[]],[]]]]] => [[[[[],[[]]]],[[]]]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.]
[[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.]
[[[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]]]] => [[[[[[.,.],.],.],.],[[.,.],.]],.]
[[[[],[]],[],[],[],[]]] => [[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[[[[[]]],[],[],[],[]]] => [[[],[],[],[],[[[]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[[[[],[]],[],[],[[]]]] => [[[[]],[],[],[[],[]]]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.]
[[[[],[]],[],[[],[]]]] => [[[[],[]],[],[[],[]]]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[[[[],[]],[],[[[]]]]] => [[[[[]]],[],[[],[]]]] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[[[[[]]],[],[[],[]]]] => [[[[],[]],[],[[[]]]]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[[[[],[]],[[]],[],[]]] => [[[],[],[[]],[[],[]]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[[[[],[]],[[]],[[]]]] => [[[[]],[[]],[[],[]]]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[[[[[]]],[[]],[[]]]] => [[[[]],[[]],[[[]]]]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.]
[[[[],[]],[[],[]],[]]] => [[[],[[],[]],[[],[]]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[[[[],[]],[[[]]],[]]] => [[[],[[[]]],[[],[]]]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[[[[[]]],[[],[]],[]]] => [[[],[[],[]],[[[]]]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[[[[[]]],[[[]]],[]]] => [[[],[[[]]],[[[]]]]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.]
[[[[],[]],[[],[],[]]]] => [[[[],[],[]],[[],[]]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[[[[],[]],[[],[[]]]]] => [[[[[]],[]],[[],[]]]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[[[[],[]],[[[]],[]]]] => [[[[],[[]]],[[],[]]]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[[[[],[]],[[[],[]]]]] => [[[[[],[]]],[[],[]]]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[[[[],[]],[[[[]]]]]] => [[[[[[]]]],[[],[]]]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.]
[[[[[]]],[[],[],[]]]] => [[[[],[],[]],[[[]]]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[[[[[]]],[[],[[]]]]] => [[[[[]],[]],[[[]]]]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.]
[[[[[]]],[[[]],[]]]] => [[[[],[[]]],[[[]]]]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.]
[[[[[]]],[[[],[]]]]] => [[[[[],[]]],[[[]]]]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.]
[[[[[]]],[[[[]]]]]] => [[[[[[]]]],[[[]]]]] => [[[[[.,.],.],.],[[[.,.],.],.]],.]
[[[[],[],[]],[],[],[]]] => [[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[[[[],[[]]],[],[],[]]] => [[[],[],[],[[[]],[]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[[[[[]],[]],[],[],[]]] => [[[],[],[],[[],[[]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]
[[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[[[[],[],[]],[],[[]]]] => [[[[]],[],[[],[],[]]]] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[[[[],[[]]],[],[[]]]] => [[[[]],[],[[[]],[]]]] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[[[[[],[]]],[],[[]]]] => [[[[]],[],[[[],[]]]]] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[[[[[[]]]],[],[[]]]] => [[[[]],[],[[[[]]]]]] => [[[.,.],[.,[[[[.,.],.],.],.]]],.]
[[[[],[],[]],[[]],[]]] => [[[],[[]],[[],[],[]]]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[[[[],[[]]],[[]],[]]] => [[[],[[]],[[[]],[]]]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[[[[[],[]]],[[]],[]]] => [[[],[[]],[[[],[]]]]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.]
[[[[],[],[]],[[],[]]]] => [[[[],[]],[[],[],[]]]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[[[[],[],[]],[[[]]]]] => [[[[[]]],[[],[],[]]]] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[[[[],[[]]],[[],[]]]] => [[[[],[]],[[[]],[]]]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[[[[],[[]]],[[[]]]]] => [[[[[]]],[[[]],[]]]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.]
[[[[[]],[]],[[],[]]]] => [[[[],[]],[[],[[]]]]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[[[[[]],[]],[[[]]]]] => [[[[[]]],[[],[[]]]]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.]
[[[[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]]]]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[[[[[],[]]],[[[]]]]] => [[[[[]]],[[[],[]]]]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.]
[[[[[[]]]],[[],[]]]] => [[[[],[]],[[[[]]]]]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.]
[[[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]]]] => [[[[.,.],.],[[[[.,.],.],.],.]],.]
[[[[],[],[],[]],[],[]]] => [[[],[],[[],[],[],[]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[[[[],[],[[]]],[],[]]] => [[[],[],[[[]],[],[]]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[[[[],[[]],[]],[],[]]] => [[[],[],[[],[[]],[]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[[[[],[[],[]]],[],[]]] => [[[],[],[[[],[]],[]]]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
[[[[],[[[]]]],[],[]]] => [[[],[],[[[[]]],[]]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[[[[[]],[],[]],[],[]]] => [[[],[],[[],[],[[]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[[[[],[]],[]],[],[]]] => [[[],[],[[],[[],[]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[[[[[],[],[]]],[],[]]] => [[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]
[[[[[],[[]]]],[],[]]] => [[[],[],[[[[]],[]]]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[[[[[[]],[]]],[],[]]] => [[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.]
[[[[[[],[]]]],[],[]]] => [[[],[],[[[[],[]]]]]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.]
[[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.]
[[[[],[],[],[]],[[]]]] => [[[[]],[[],[],[],[]]]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[[[[],[],[[]]],[[]]]] => [[[[]],[[[]],[],[]]]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[[[[],[[]],[]],[[]]]] => [[[[]],[[],[[]],[]]]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[[[[],[[],[]]],[[]]]] => [[[[]],[[[],[]],[]]]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[[[[],[[[]]]],[[]]]] => [[[[]],[[[[]]],[]]]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.]
[[[[[]],[],[]],[[]]]] => [[[[]],[[],[],[[]]]]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[[[[[]],[[]]],[[]]]] => [[[[]],[[[]],[[]]]]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.]
[[[[[],[]],[]],[[]]]] => [[[[]],[[],[[],[]]]]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[[[[[[]]],[]],[[]]]] => [[[[]],[[],[[[]]]]]] => [[[.,.],[[.,[[[.,.],.],.]],.]],.]
[[[[[],[],[]]],[[]]]] => [[[[]],[[[],[],[]]]]] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[[[[[],[[]]]],[[]]]] => [[[[]],[[[[]],[]]]]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.]
[[[[[[]],[]]],[[]]]] => [[[[]],[[[],[[]]]]]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.]
[[[[[[],[]]]],[[]]]] => [[[[]],[[[[],[]]]]]] => [[[.,.],[[[[.,[.,.]],.],.],.]],.]
[[[[[[[]]]]],[[]]]] => [[[[]],[[[[[]]]]]]] => [[[.,.],[[[[[.,.],.],.],.],.]],.]
[[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[[[[],[],[],[[]]],[]]] => [[[],[[[]],[],[],[]]]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[[[[],[],[[]],[]],[]]] => [[[],[[],[[]],[],[]]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[[[[],[],[[],[]]],[]]] => [[[],[[[],[]],[],[]]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[[[[],[],[[[]]]],[]]] => [[[],[[[[]]],[],[]]]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[[[[],[[]],[],[]],[]]] => [[[],[[],[],[[]],[]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[[[[],[[]],[[]]],[]]] => [[[],[[[]],[[]],[]]]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[[[[],[[],[]],[]],[]]] => [[[],[[],[[],[]],[]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[[[[],[[[]]],[]],[]]] => [[[],[[],[[[]]],[]]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.]
[[[[],[[],[],[]]],[]]] => [[[],[[[],[],[]],[]]]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[[[[],[[],[[]]]],[]]] => [[[],[[[[]],[]],[]]]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[[[[],[[[]],[]]],[]]] => [[[],[[[],[[]]],[]]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[[[[],[[[],[]]]],[]]] => [[[],[[[[],[]]],[]]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[[[[],[[[[]]]]],[]]] => [[[],[[[[[]]]],[]]]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[[[[]],[],[],[]],[]]] => [[[],[[],[],[],[[]]]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[[[[[]],[],[[]]],[]]] => [[[],[[[]],[],[[]]]]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.]
[[[[[]],[[]],[]],[]]] => [[[],[[],[[]],[[]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[[[[[]],[[],[]]],[]]] => [[[],[[[],[]],[[]]]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[[[[[]],[[[]]]],[]]] => [[[],[[[[]]],[[]]]]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.]
[[[[[],[]],[],[]],[]]] => [[[],[[],[],[[],[]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[[[[[[]]],[],[]],[]]] => [[[],[[],[],[[[]]]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.]
[[[[[],[]],[[]]],[]]] => [[[],[[[]],[[],[]]]]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[[[[[[]]],[[]]],[]]] => [[[],[[[]],[[[]]]]]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[[[[[],[],[]],[]],[]]] => [[[],[[],[[],[],[]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[[[[[],[[]]],[]],[]]] => [[[],[[],[[[]],[]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.]
[[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[[[[[[],[]]],[]],[]]] => [[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[[[[[[[]]]],[]],[]]] => [[[],[[],[[[[]]]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.]
[[[[[],[],[],[]]],[]]] => [[[],[[[],[],[],[]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[[[[[],[],[[]]]],[]]] => [[[],[[[[]],[],[]]]]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[[[[[],[[]],[]]],[]]] => [[[],[[[],[[]],[]]]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.]
[[[[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]]]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[[[[[],[[[]]]]],[]]] => [[[],[[[[[]]],[]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.]
[[[[[[]],[],[]]],[]]] => [[[],[[[],[],[[]]]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.]
[[[[[[]],[[]]]],[]]] => [[[],[[[[]],[[]]]]]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.]
[[[[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]]]]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.]
[[[[[[[]]],[]]],[]]] => [[[],[[[],[[[]]]]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.]
[[[[[[],[],[]]]],[]]] => [[[],[[[[],[],[]]]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[[[[[[],[[]]]]],[]]] => [[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.]
[[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.]
[[[[[[[],[]]]]],[]]] => [[[],[[[[[],[]]]]]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.]
[[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[[[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[[[[],[],[],[],[[]]]]] => [[[[[]],[],[],[],[]]]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[[[[],[],[],[[]],[]]]] => [[[[],[[]],[],[],[]]]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[[[[],[],[],[[],[]]]]] => [[[[[],[]],[],[],[]]]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[[[[],[],[],[[[]]]]]] => [[[[[[]]],[],[],[]]]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[[[[],[],[[]],[],[]]]] => [[[[],[],[[]],[],[]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[[[[],[],[[]],[[]]]]] => [[[[[]],[[]],[],[]]]] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[[[[],[],[[],[]],[]]]] => [[[[],[[],[]],[],[]]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[[[[],[],[[[]]],[]]]] => [[[[],[[[]]],[],[]]]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[[[[],[],[[],[],[]]]]] => [[[[[],[],[]],[],[]]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[[[[],[],[[],[[]]]]]] => [[[[[[]],[]],[],[]]]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[[[[],[],[[[]],[]]]]] => [[[[[],[[]]],[],[]]]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[[[[],[],[[[],[]]]]]] => [[[[[[],[]]],[],[]]]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[[[[],[],[[[[]]]]]]] => [[[[[[[]]]],[],[]]]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[[[[],[[]],[],[],[]]]] => [[[[],[],[],[[]],[]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[[[[],[[]],[],[[]]]]] => [[[[[]],[],[[]],[]]]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[[[[],[[]],[[]],[]]]] => [[[[],[[]],[[]],[]]]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[[[[],[[]],[[],[]]]]] => [[[[[],[]],[[]],[]]]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[[[[],[[]],[[[]]]]]] => [[[[[[]]],[[]],[]]]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.]
[[[[],[[],[]],[],[]]]] => [[[[],[],[[],[]],[]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[[[[],[[[]]],[],[]]]] => [[[[],[],[[[]]],[]]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[[[[],[[],[]],[[]]]]] => [[[[[]],[[],[]],[]]]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[[[[],[[[]]],[[]]]]] => [[[[[]],[[[]]],[]]]] => [[[[.,.],[[[.,.],.],[.,.]]],.],.]
[[[[],[[],[],[]],[]]]] => [[[[],[[],[],[]],[]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[[[[],[[],[[]]],[]]]] => [[[[],[[[]],[]],[]]]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[[[[],[[[]],[]],[]]]] => [[[[],[[],[[]]],[]]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[[[[],[[[],[]]],[]]]] => [[[[],[[[],[]]],[]]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[[[[],[[[[]]]],[]]]] => [[[[],[[[[]]]],[]]]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.]
[[[[],[[],[],[],[]]]]] => [[[[[],[],[],[]],[]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[[[[],[[],[],[[]]]]]] => [[[[[[]],[],[]],[]]]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[[[[],[[],[[]],[]]]]] => [[[[[],[[]],[]],[]]]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[[[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]]]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[[[[],[[],[[[]]]]]]] => [[[[[[[]]],[]],[]]]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[[[[],[[[]],[],[]]]]] => [[[[[],[],[[]]],[]]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.]
[[[[],[[[]],[[]]]]]] => [[[[[[]],[[]]],[]]]] => [[[[[.,.],[[.,.],.]],[.,.]],.],.]
[[[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[[[[],[[[[]]],[]]]]] => [[[[[],[[[]]]],[]]]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.]
[[[[],[[[],[],[]]]]]] => [[[[[[],[],[]]],[]]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[[[[],[[[],[[]]]]]]] => [[[[[[[]],[]]],[]]]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.]
[[[[],[[[[]],[]]]]]] => [[[[[[],[[]]]],[]]]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.]
[[[[],[[[[],[]]]]]]] => [[[[[[[],[]]]],[]]]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.]
[[[[],[[[[[]]]]]]]] => [[[[[[[[]]]]],[]]]] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[[[[[]],[],[],[],[]]]] => [[[[],[],[],[],[[]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[[[[[]],[],[],[[]]]]] => [[[[[]],[],[],[[]]]]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[[[[[]],[],[[]],[]]]] => [[[[],[[]],[],[[]]]]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.]
[[[[[]],[],[[],[]]]]] => [[[[[],[]],[],[[]]]]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[[[[[]],[],[[[]]]]]] => [[[[[[]]],[],[[]]]]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.]
[[[[[]],[[]],[],[]]]] => [[[[],[],[[]],[[]]]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[[[[[]],[[]],[[]]]]] => [[[[[]],[[]],[[]]]]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.]
[[[[[]],[[],[]],[]]]] => [[[[],[[],[]],[[]]]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[[[[[]],[[[]]],[]]]] => [[[[],[[[]]],[[]]]]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.]
[[[[[]],[[],[],[]]]]] => [[[[[],[],[]],[[]]]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[[[[[]],[[],[[]]]]]] => [[[[[[]],[]],[[]]]]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.]
[[[[[]],[[[]],[]]]]] => [[[[[],[[]]],[[]]]]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.]
[[[[[]],[[[],[]]]]]] => [[[[[[],[]]],[[]]]]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.]
[[[[[]],[[[[]]]]]]] => [[[[[[[]]]],[[]]]]] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[[[[[],[]],[],[],[]]]] => [[[[],[],[],[[],[]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.]
[[[[[],[]],[],[[]]]]] => [[[[[]],[],[[],[]]]]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[[[[[[]]],[],[[]]]]] => [[[[[]],[],[[[]]]]]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.]
[[[[[],[]],[[]],[]]]] => [[[[],[[]],[[],[]]]]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[[[[[[]]],[[]],[]]]] => [[[[],[[]],[[[]]]]]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.]
[[[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]]]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[[[[[],[]],[[[]]]]]] => [[[[[[]]],[[],[]]]]] => [[[[[.,.],.],[[.,[.,.]],.]],.],.]
[[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.]
[[[[[[]]],[[[]]]]]] => [[[[[[]]],[[[]]]]]] => [[[[[.,.],.],[[[.,.],.],.]],.],.]
[[[[[],[],[]],[],[]]]] => [[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[[[[[],[[]]],[],[]]]] => [[[[],[],[[[]],[]]]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.]
[[[[[[]],[]],[],[]]]] => [[[[],[],[[],[[]]]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.]
[[[[[[],[]]],[],[]]]] => [[[[],[],[[[],[]]]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.]
[[[[[[[]]]],[],[]]]] => [[[[],[],[[[[]]]]]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.]
[[[[[],[],[]],[[]]]]] => [[[[[]],[[],[],[]]]]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[[[[[],[[]]],[[]]]]] => [[[[[]],[[[]],[]]]]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.]
[[[[[[]],[]],[[]]]]] => [[[[[]],[[],[[]]]]]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.]
[[[[[[],[]]],[[]]]]] => [[[[[]],[[[],[]]]]]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.]
[[[[[[[]]]],[[]]]]] => [[[[[]],[[[[]]]]]]] => [[[[.,.],[[[[.,.],.],.],.]],.],.]
[[[[[],[],[],[]],[]]]] => [[[[],[[],[],[],[]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[[[[[],[],[[]]],[]]]] => [[[[],[[[]],[],[]]]]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[[[[[],[[]],[]],[]]]] => [[[[],[[],[[]],[]]]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[[[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[[[[[],[[[]]]],[]]]] => [[[[],[[[[]]],[]]]]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.]
[[[[[[]],[],[]],[]]]] => [[[[],[[],[],[[]]]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[[[[[[]],[[]]],[]]]] => [[[[],[[[]],[[]]]]]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.]
[[[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.]
[[[[[[],[],[]]],[]]]] => [[[[],[[[],[],[]]]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.]
[[[[[[],[[]]]],[]]]] => [[[[],[[[[]],[]]]]]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.]
[[[[[[[]],[]]],[]]]] => [[[[],[[[],[[]]]]]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.]
[[[[[[[],[]]]],[]]]] => [[[[],[[[[],[]]]]]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.]
[[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.]
[[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[[[[[],[],[],[[]]]]]] => [[[[[[]],[],[],[]]]]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[[[[[],[],[[]],[]]]]] => [[[[[],[[]],[],[]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[[[[[],[],[[],[]]]]]] => [[[[[[],[]],[],[]]]]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[[[[[],[],[[[]]]]]]] => [[[[[[[]]],[],[]]]]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]
[[[[[],[[]],[],[]]]]] => [[[[[],[],[[]],[]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[[[[[],[[]],[[]]]]]] => [[[[[[]],[[]],[]]]]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.]
[[[[[],[[],[]],[]]]]] => [[[[[],[[],[]],[]]]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[[[[[],[[[]]],[]]]]] => [[[[[],[[[]]],[]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.]
[[[[[],[[],[],[]]]]]] => [[[[[[],[],[]],[]]]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[[[[[],[[],[[]]]]]]] => [[[[[[[]],[]],[]]]]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.]
[[[[[],[[[]],[]]]]]] => [[[[[[],[[]]],[]]]]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.]
[[[[[],[[[],[]]]]]]] => [[[[[[[],[]]],[]]]]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.]
[[[[[],[[[[]]]]]]]] => [[[[[[[[]]]],[]]]]] => [[[[[[[.,.],.],.],[.,.]],.],.],.]
[[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[[[[[[]],[],[[]]]]]] => [[[[[[]],[],[[]]]]]] => [[[[[.,.],[.,[[.,.],.]]],.],.],.]
[[[[[[]],[[]],[]]]]] => [[[[[],[[]],[[]]]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.]
[[[[[[]],[[],[]]]]]] => [[[[[[],[]],[[]]]]]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.]
[[[[[[]],[[[]]]]]]] => [[[[[[[]]],[[]]]]]] => [[[[[[.,.],.],[[.,.],.]],.],.],.]
[[[[[[],[]],[],[]]]]] => [[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.]
[[[[[[[]]],[],[]]]]] => [[[[[],[],[[[]]]]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.]
[[[[[[],[]],[[]]]]]] => [[[[[[]],[[],[]]]]]] => [[[[[.,.],[[.,[.,.]],.]],.],.],.]
[[[[[[[]]],[[]]]]]] => [[[[[[]],[[[]]]]]]] => [[[[[.,.],[[[.,.],.],.]],.],.],.]
[[[[[[],[],[]],[]]]]] => [[[[[],[[],[],[]]]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.]
[[[[[[],[[]]],[]]]]] => [[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.]
[[[[[[[]],[]],[]]]]] => [[[[[],[[],[[]]]]]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.]
[[[[[[[],[]]],[]]]]] => [[[[[],[[[],[]]]]]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.]
[[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.]
[[[[[[],[],[],[]]]]]] => [[[[[[],[],[],[]]]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[[[[[[],[],[[]]]]]]] => [[[[[[[]],[],[]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.]
[[[[[[],[[]],[]]]]]] => [[[[[[],[[]],[]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.]
[[[[[[],[[],[]]]]]]] => [[[[[[[],[]],[]]]]]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.]
[[[[[[],[[[]]]]]]]] => [[[[[[[[]]],[]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.]
[[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.]
[[[[[[[]],[[]]]]]]] => [[[[[[[]],[[]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.]
[[[[[[[],[]],[]]]]]] => [[[[[[],[[],[]]]]]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.]
[[[[[[[[]]],[]]]]]] => [[[[[[],[[[]]]]]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.]
[[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.]
[[[[[[[],[[]]]]]]]] => [[[[[[[[]],[]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.]
[[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.]
[[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]]] => [[[[[[[.,[.,.]],.],.],.],.],.],.]
[[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.]
[[],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]
[[],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]
[[],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]
[[],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]
[[],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]
[[],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]
[[],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]
[[],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]
[[[],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[[[],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[]]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[[[],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[[[[],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[[[[],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[]]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[[[],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[]]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[[[],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[]]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[[[[],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[]]]] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[[[[],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[]]]] => [[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]
[[[[[],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[]]]]] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[[[],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]
[[[],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[[[],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[[[],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[[[],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[[[[],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[]]]] => [.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[[[[],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[]]]] => [.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]
[[[[[],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[]]]]] => [.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[[[[],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[]]]] => [.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]
[[[[],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[]]]] => [.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]
[[[[[],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[]]]]] => [.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[[[[[],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[]]]]] => [.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]
[[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[[],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[],[[],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[]],[]],[]],[]] => [[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[]] => [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[]],[]],[]] => [[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[]],[]],[]] => [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]]
[[],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[]] => [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[]] => [[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[]] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[[],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[]]]],[]],[]] => [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]
[[],[[],[[[],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[]]],[]],[]] => [[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[],[[[],[]],[]]],[]]]] => [[[[],[[[],[[],[]]],[]]],[]],[]] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]]
[[],[[],[[[[],[]],[[],[]]],[]]]] => [[[[],[[[],[]],[[],[]]]],[]],[]] => [[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]]
[[],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[]] => [[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]]
[[],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[]] => [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]]
[[],[[[],[]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[],[]]],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[],[]]],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[]]],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]]
[[],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]
[[],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]]
[[],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]
[[],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]]
[[],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[]] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]
[[],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[]] => [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]
[[],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[]] => [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]
[[],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[]] => [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]
[[],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[]] => [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]
[[],[[[],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[]]],[]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]]
[[],[[[],[[],[[[],[]],[]]]],[]]] => [[[],[[[[],[[],[]]],[]],[]]],[]] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]]
[[],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[]] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]]
[[],[[[],[[[],[[],[]]],[]]],[]]] => [[[],[[[],[[[],[]],[]]],[]]],[]] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]]
[[],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[]] => [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]]
[[],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[]] => [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]]
[[],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[]] => [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]]
[[],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[]] => [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]]
[[],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[]] => [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]]
[[],[[[[],[[],[[],[]]]],[]],[]]] => [[[],[[],[[[[],[]],[]],[]]]],[]] => [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]]
[[],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[]] => [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]]
[[],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[]] => [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]]
[[],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[]] => [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]]
[[],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[]] => [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]]
[[[],[]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[],[]]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[],[]]] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[[],[]]] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[],[]]] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]]
[[[],[]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[],[]]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[]]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[]]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[],[]]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[],[]]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[],[]]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[]]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]]
[[[],[]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]]
[[[],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[[[],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]]
[[[],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[[[],[[],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[]],[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]]
[[[],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]]
[[[[],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[[[[],[]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[],[]]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]]
[[[[],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[[[[],[]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]]
[[[[],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]
[[[],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[]]] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[[[],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[]]] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]
[[[],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[]]] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[[[],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[]]] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]
[[[[],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[]]]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[]]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]
[[[[],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[]]]] => [[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]
[[[[],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[]]]] => [[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]
[[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[]]]]] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[[[[[],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]
[[[],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[]]] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]
[[[],[[],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[]],[]]] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[[[],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[]]] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[[[],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[]]] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[[[],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[]]] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[[[[],[]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[],[]]]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[]]]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[[[[],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[]]]] => [[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]
[[[[[],[]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[],[]]]]] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[[[[],[[],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[]],[]]]] => [[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]
[[[[],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[]]]] => [[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]
[[[[[],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[]]]]] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[[[[[],[[],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[]],[]]]]] => [[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]
[[[[[[],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[]]]]]] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[[[],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[]]] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]]
[[[],[[],[[],[[[],[]],[]]]]],[]] => [[],[[[[[],[[],[]]],[]],[]],[]]] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]]
[[[],[[],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]]
[[[],[[],[[[],[[],[]]],[]]]],[]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]]
[[[],[[],[[[[],[]],[]],[]]]],[]] => [[],[[[[],[[],[[],[]]]],[]],[]]] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]]
[[[],[[[],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]]
[[[],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]]
[[[],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]]
[[[],[[[[],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[]]]],[]]] => [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]]
[[[],[[[],[[],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]]
[[[],[[[],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[]]],[]]] => [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]]
[[[],[[[[],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[]]]],[]]] => [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]]
[[[],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[]]] => [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]]
[[[],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[]]] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]]
[[[[],[]],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[[],[]]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[],[]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[],[]]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[[],[]]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]]
[[[[],[]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[],[]]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]]
[[[[],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[]]]] => [.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]]
[[[[],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[]]]] => [.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]]
[[[[[],[]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[],[]]]]] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]]
[[[[[],[]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[],[]]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]]
[[[[],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[]]]] => [.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]
[[[[],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[]]]] => [.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]
[[[[[],[]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[],[]]]]] => [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]
[[[[[],[[],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[]],[]]]]] => [.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]
[[[[[[],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[]]]]]] => [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[[[[],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[]]]] => [.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]]
[[[[],[[],[[[],[]],[]]]],[]],[]] => [[],[[],[[[[],[[],[]]],[]],[]]]] => [.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]]
[[[[],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[]]]] => [.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]]
[[[[],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[]]]] => [.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]]
[[[[],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[]]]] => [.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]]
[[[[[],[]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[],[]]]]] => [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]]
[[[[[],[]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[],[]]]]] => [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]]
[[[[[],[[],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[]],[]]]]] => [.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]]
[[[[[[],[]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[],[]]]]]] => [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]]
[[[[[],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[]]]]] => [.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]]
[[[[[],[[[],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[]]],[]]]]] => [.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]]
[[[[[[],[]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[],[]]]]]] => [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]]
[[[[[[],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[]]]]]] => [.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]]
[[[[[[[],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[]]]]]]] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
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 $t$.
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