- FindStat

Identifier

Mp00049: Ordered trees —to binary tree: left brother = left child⟶ Binary trees
Mp00008: Binary trees —to complete tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees

Images

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[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [[[],[]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[],[]]]

>>> Load all 994 entries. <<<

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[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[]]]]

[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [[[[[],[[],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[]]]]

[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [[[[],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[]]]]

[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [[[[],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[]]]]

[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [[[],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[]]]

[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [[[],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[]]]

[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [[[],[[],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[]],[]]]

[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [[[],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[]]]

[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[]]]

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[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [[[[[],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[]]]]]

[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [[[[],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[]]]]

[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[],[[],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[]],[]]]]

[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [[[[],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[]]]]

[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[]]]]

[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[]]]

[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[]]]

[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [[[],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[]]]

[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[]]]

[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [[[[],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[]]]]

[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [[[[],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[]]]]

[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [[[[],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[]]]]

[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[[],[[[],[]],[]]]],[]],[]] => [[],[[],[[[[],[[],[]]],[]],[]]]]

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[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[]]]]

[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[],[]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[],[]]]]

[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[],[]]]]

[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[],[]],[[],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[]],[[],[]]]]

[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[],[]],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[[],[]]]]

[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [[[[],[]],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[[],[]]]]

[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[[[],[]],[[[[],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[]]]],[[],[]]]]

[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[[[],[]],[[[[],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[]]]],[[],[]]]]

[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[[[],[]],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[[],[]]]]

[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[[[],[]],[[[],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[]]],[[],[]]]]

[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[[[],[]],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[[],[]]]]

[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[[[],[]],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[[],[]]]]

[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[[[],[]],[[[],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[]]],[[],[]]]]

[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[[[],[]],[[[],[[],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[]],[]]],[[],[]]]]

[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[[[],[]],[[],[[[[],[]],[]],[]]]],[]] => [[],[[[[],[[],[[],[]]]],[]],[[],[]]]]

[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[[[],[]],[[],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[]],[[],[]]]]

[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[[[],[]],[[],[[[],[[],[]]],[]]]],[]] => [[],[[[[],[[[],[]],[]]],[]],[[],[]]]]

[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[[[],[]],[[],[[],[[[],[]],[]]]]],[]] => [[],[[[[[],[[],[]]],[]],[]],[[],[]]]]

[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[],[]],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[[],[]]]]

[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [[[],[]],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[[],[]]]

[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[],[]],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[[],[]]]

[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[[],[]],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[[],[]]]

[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[],[]],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[]]]

[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[],[]],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[[],[]]]

[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[[],[]],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[[],[]]]

[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[],[]],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[[],[]]]

[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[[],[]],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[[],[]]]

[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[[],[]],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[[],[]]]

[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[[],[]]]

[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[],[]],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[[],[]]]

[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[]]],[[],[]]]

[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[],[]],[[[],[]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[],[]]],[[],[]]]

[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[],[]],[[[],[]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[],[]]],[[],[]]]

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[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[],[]],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[[],[]]]

[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[[],[]],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[[],[]]]

[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[]]]

[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[],[]],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[[],[]]]

[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[[],[]],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[[],[]]]

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[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[],[]],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[]]]

[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[]]]

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[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[],[]],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[[],[]]]

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[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[],[]],[[],[[[[],[]],[[],[]]],[]]]] => [[[[],[[[],[]],[[],[]]]],[]],[[],[]]]

[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[],[]],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[[],[]]]

[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[],[]],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[[],[]]]

[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[],[]],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[[],[]]]

[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[],[]],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[[],[]]]

[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[],[]],[[],[[[],[[[],[]],[]]],[]]]] => [[[[],[[[],[[],[]]],[]]],[]],[[],[]]]

[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[],[]],[[],[[[],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[]]],[]],[[],[]]]

[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[],[]],[[],[[],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[]],[]],[[],[]]]

[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[],[]],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[[],[]]]

[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[],[]],[[],[[],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[]],[]],[[],[]]]

[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[],[]],[[],[[],[[],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[]],[]],[]],[[],[]]]

[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[[],[]]]

[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[[],[[],[]]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[[],[]],[]]]]]]]

[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[],[[],[]]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[[],[]],[]]]]]]

[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[[],[[],[]]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[[],[]],[]]]]]]

[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[],[[],[]]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[[],[]],[]]]]]

[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[],[[],[]]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[[],[]],[]]]]]

[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[[],[[],[]]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[[],[]],[]]]]]]

[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[],[[],[]]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[[],[]],[]]]]]

[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[[[],[[],[]]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[[],[]],[]]]]]

[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[[],[[],[]]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[[],[]],[]]]]]

[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[[],[[],[]]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[[],[]],[]]]]

[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[[],[[],[]]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[[],[]],[]]]]

[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[[],[[],[]]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[[],[]],[]]]]

[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[],[[],[]]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[[],[]],[]]]]

[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[],[[],[]]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[[],[]],[]]]]

[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[[],[[],[]]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[[],[]],[]]]]]]

[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[],[[],[]]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[]]]]

[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[[],[]],[]]]]

[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[[[],[[],[]]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[[],[]],[]]]]]

[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[[],[]]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[[],[]],[]]]]]

[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[]]]]

[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[],[]],[]]]]

[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[[],[[],[]]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[[],[]],[]]]]

[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[[],[[],[]]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[[],[]],[]]]]

[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[[[],[]],[]]]]

[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[[],[[],[]]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[[],[]],[]]]]

[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[[],[[],[]]],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[[[],[]],[]]]]

[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[],[[],[]]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[[],[]],[]]]

[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[[],[]]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[[],[]],[]]]

[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[],[[],[]]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[[],[]],[]]]

[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[]]]

[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[],[[],[]]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[[],[]],[]]]

[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[],[[],[]]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[[],[]],[]]]

[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[],[[],[]]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[[],[]],[]]]

[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[[],[[],[]]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[[],[]],[]]]

[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[],[[],[]]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[[],[]],[]]]

[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[]]]

[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[],[[],[]]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[[],[]],[]]]

[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[],[[],[]]],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[[[],[]],[]]]

[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[],[[],[]]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[[],[]],[]]]

[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[],[[],[]]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[[],[]],[]]]

[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [[[[[[],[[[],[]],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[[],[]]],[]]]]]]

[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[[],[[],[[],[]]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[[],[]],[]],[]]]]]]

[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[],[[[],[]],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[[],[]]],[]]]]]

[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[],[[],[[],[]]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[[],[]],[]],[]]]]]

[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[[[],[[[],[]],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[[],[]]],[]]]]]

[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[[],[[],[[],[]]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[[],[]],[]],[]]]]]

[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[[],[[[],[]],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[[],[]]],[]]]]

[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[],[[[],[]],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[[],[]]],[]]]]

[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[]]]]

[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[[],[[],[]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[],[]],[]],[]]]]

[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[[],[]],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[[],[]]],[]]]]]

[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[[],[[],[[],[]]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[[],[]],[]],[]]]]]

[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[[],[]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[]]]]

[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[[],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[]]]]

[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[[],[]],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[[],[]]],[]]]]

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[[],[[[]]],[],[[],[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[[],[]]]]]

[[],[[[]]],[],[[[]]]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[[],[]],[[],[[],[]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[],[]],[]],[[],[]]]]]

[[],[[],[]],[[]],[[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[[],[]],[[[],[]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[[],[]]]]]

[[],[[[]]],[[]],[[]]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[[],[]],[[],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[[],[]]]]]

[[],[[],[]],[[],[]],[]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[[],[]],[[[],[]],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[[],[]]],[[],[]]]]]

[[],[[[]]],[[[]]],[]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[[],[]],[[],[[],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[]],[]],[[],[]]]]]

[[],[[],[]],[[[[]]]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]

[[],[[[]]],[[],[],[]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]

[[],[[[]]],[[[]],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[[[],[]],[[],[[],[]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[],[]],[]],[[],[]]]]

[[],[[[]]],[[[],[]]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[[],[]],[[],[[],[]]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[[],[]],[]],[[],[]]]]

[[],[[[]]],[[[[]]]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[]],[]],[[],[]]]]

[[],[[[[]]]],[],[],[]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[[],[]],[[],[[],[[],[]]]]],[]],[]],[]] => [[],[[],[[],[[[[[],[]],[]],[]],[[],[]]]]]]

[[],[[],[],[]],[[]],[]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[[],[]],[[[[],[]],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]]

[[],[[[]],[]],[[]],[]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[[],[]],[[[],[[],[]]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]]

[[],[[[],[]]],[[]],[]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[[],[]],[[],[[[],[]],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]]

[[],[[],[],[]],[[[]]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[[],[]]]],[[],[]]]]

[[],[[[]],[]],[[[]]]] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[[],[]],[]]],[[],[]]]]

[[],[[[],[]]],[[[]]]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[[],[]],[[],[[[],[]],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[[],[]]],[]],[[],[]]]]

[[],[[],[],[],[]],[],[]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[[],[]],[[[[[],[]],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[[],[]]]]],[[],[]]]]]

[[],[[[]],[[]]],[],[]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[[],[]],[[[],[[],[]]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[[],[]],[]]],[[],[]]]]]

[[],[[[],[]],[]],[],[]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[[],[]],[[[],[[[],[]],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[[],[]]],[]]],[[],[]]]]]

[[],[[[[[]]]]],[],[]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[[],[]],[[],[[],[[],[[],[]]]]]],[]],[]] => [[],[[],[[[[[[],[]],[]],[]],[]],[[],[]]]]]

[[],[[],[],[[]]],[[]]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[[],[]],[[[[],[]],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[[],[]]]],[[],[]]]]

[[],[[[]],[[]]],[[]]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[[],[]],[[[],[[],[]]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[[],[]],[]]],[[],[]]]]

[[],[[[],[]],[]],[[]]] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[[],[]],[[[],[[[],[]],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[[],[]]],[]]],[[],[]]]]

[[],[[[[[]]]]],[[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[[],[]],[[],[[],[[],[[],[]]]]]],[[],[]]] => [[[],[]],[[[[[[],[]],[]],[]],[]],[[],[]]]]

[[],[[[[[[]]]]]],[]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[[],[]],[[],[[],[[],[[],[[],[]]]]]]],[]] => [[],[[[[[[[],[]],[]],[]],[]],[]],[[],[]]]]

[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[[],[]],[[[[[[[],[]],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[[],[]]]]]]],[[],[]]]

[[],[[],[],[],[[],[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[],[]],[[[[[],[]],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[[],[]]]]],[[],[]]]

[[],[[],[],[[]],[[]]]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[],[]],[[[[[],[]],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[[],[]]]]],[[],[]]]

[[],[[],[],[[],[]],[]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[[],[]],[[[[[],[]],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[[],[]]]]],[[],[]]]

[[],[[],[[]],[],[[]]]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[],[]],[[[[[],[]],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[[],[]]]]],[[],[]]]

[[],[[],[[]],[[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[[],[]],[[[[[],[]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[],[]]]]],[[],[]]]

[[],[[],[[],[],[],[]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[[],[]]],[[],[]]]

[[],[[],[[],[[],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]

[[],[[],[[[]],[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[],[]],[[[],[]],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[[],[]]],[[],[]]]

[[],[[],[[[]],[[]]]]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[[],[]],[[[],[]],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[[],[]]],[[],[]]]

[[],[[[]],[],[],[[]]]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[],[]],[[[[[],[[],[]]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[[],[]],[]]]]],[[],[]]]

[[],[[[]],[],[[],[]]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[],[]],[[[[],[[],[]]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[[],[]],[]]]],[[],[]]]

[[],[[[]],[[]],[[]]]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[],[]],[[[[],[[],[]]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[[],[]],[]]]],[[],[]]]

[[],[[[]],[[],[]],[]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[[],[]],[[[[],[[],[]]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]

[[],[[[]],[[],[],[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[[],[]],[]]],[[],[]]]

[[],[[[]],[[],[[]]]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[[],[]],[]]],[[],[]]]

[[],[[[]],[[[],[]]]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[[],[]],[[[],[[],[]]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[[],[]],[]]],[[],[]]]

[[],[[[[]]],[],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[[],[]],[[[[[],[[],[[],[]]]],[]],[]],[]]] => [[[],[[],[[],[[[[],[]],[]],[]]]]],[[],[]]]

[[],[[[[]]],[],[[]]]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[],[]],[[[[],[[],[[],[]]]],[]],[[],[]]]] => [[[[],[]],[[],[[[[],[]],[]],[]]]],[[],[]]]

[[],[[[[]]],[[]],[]]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[[],[]],[[[[],[[],[[],[]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[],[]],[]],[]]]],[[],[]]]

[[],[[[],[]],[[],[]]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]]

[[],[[[[]]],[[],[]]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[],[]],[[[],[[],[[],[]]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[[],[]],[]],[]]],[[],[]]]

[[],[[[[]]],[[[]]]]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[[],[]],[]],[]]],[[],[]]]

[[],[[[[]],[]],[[]]]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[],[]],[[[],[[[],[[],[]]],[]]],[[],[]]]] => [[[[],[]],[[[],[[[],[]],[]]],[]]],[[],[]]]

[[],[[[[[[[]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[],[]],[[],[[],[[],[[],[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]],[]],[]],[]],[]],[[],[]]]

[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[[],[[],[]]],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[[[],[]],[]]]]]]]]

[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[[],[[],[]]],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[[[],[]],[]]]]]]]

[[[]],[],[],[],[[]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[[],[[],[]]],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[[[],[]],[]]]]]]]

[[[]],[],[],[],[[],[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[[],[[],[]]],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[[[],[]],[]]]]]]

[[[]],[],[],[],[[[]]]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[[],[[],[]]],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[[[],[]],[]]]]]]

[[[]],[],[],[[]],[],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[[],[[],[]]],[]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[],[[[],[]],[]]]]]]]

[[[]],[],[],[[],[],[]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[[],[[],[]]],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]]

[[[]],[],[],[[],[[]]]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[[],[[],[]]],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[[[],[]],[]]]]]

[[[]],[],[],[[[],[]]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[[],[[],[]]],[]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[],[[[],[]],[]]]]]

[[[]],[],[],[[[[]]]]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[[],[[],[]]],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[[[],[]],[]]]]]

[[[]],[],[[]],[],[],[]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[[],[[],[]]],[]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[],[[[],[]],[]]]]]]]

[[[]],[],[[]],[[],[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[[],[[],[]]],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]

[[[]],[],[[]],[[[]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[[],[[],[]]],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]

[[[]],[],[[],[]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[[],[[],[]]],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[[[],[]],[]]]]]

[[[]],[],[[],[[],[]]]] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[[[],[]],[]]]]

[[[]],[],[[[]],[],[]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]]

[[[]],[],[[[]],[[]]]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[[],[[],[]]],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[[[],[]],[]]]]

[[[]],[[]],[],[],[],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[[],[[],[]]],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[[[],[]],[]]]]]]]

[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[[],[[],[]]],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[[],[[],[]]],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[],[]],[]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[[],[[],[]]],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[[]]],[]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[[],[[],[]]],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[[[],[]],[]]]]]

[[[]],[[]],[[],[],[]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[[],[[],[]]],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]

[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]

[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[[],[[],[]]],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]

[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]

[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[[],[[],[]]],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[[[],[]],[]]]]]]

[[[]],[[],[]],[],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[[],[[],[]]],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[[[],[]],[]]]]]

[[[]],[[],[]],[[]],[]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[[],[[],[]]],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]]

[[[]],[[[]]],[[]],[]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[[],[[],[]]],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]]

[[[]],[[],[]],[[],[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[[],[[],[]]],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]

[[[]],[[],[]],[[[]]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]

[[[]],[[[]]],[[],[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[[],[[],[]]],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]]

[[[]],[[[]]],[[[]]]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]

[[[]],[[],[],[]],[],[]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[[],[[],[]]],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[[[],[]],[]]]]]

[[[]],[[],[[]]],[],[]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[[],[[],[]]],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]]

[[[]],[[[]],[]],[],[]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[[],[[],[]]],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[[[],[]],[]]]]]

[[[]],[[[[]]]],[],[]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[[],[[],[]]],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[[[],[]],[]]]]]

[[[]],[[],[[]]],[[]]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]

[[[]],[[[]],[]],[[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]

[[[]],[[],[[],[]]],[]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[[],[[],[]]],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[[[],[]],[]]]]

[[[]],[[[]],[],[]],[]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[[],[[],[]]],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[[[],[]],[]]]]

[[[]],[[[]],[[]]],[]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[[],[[],[]]],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[[[],[]],[]]]]

[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[[],[[],[]]],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[[[],[]],[]]]]

[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[[],[[],[]]],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[[[],[]],[]]]

[[[]],[[],[],[],[[]]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[],[[],[]]],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[[[],[]],[]]]

[[[]],[[],[],[[],[]]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[[[],[]],[]]]

[[[]],[[],[[]],[[]]]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[[[],[]],[]]]

[[[]],[[],[[],[]],[]]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[],[[],[]]],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[[[],[]],[]]]

[[[]],[[],[[],[],[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[[[],[]],[]]]

[[[]],[[],[[],[[]]]]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]]

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[[[[]]],[[[]]],[[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[[],[[],[[],[]]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[[],[]],[]],[]]]]

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[[[[]]],[[[[],[]]]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[[[],[]],[]],[]]]

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[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[[],[[],[[],[[],[]]]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[[[],[]],[]],[]],[]]]]]

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[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[[],[[],[[],[[],[]]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]]

[[[[[]]]],[],[[[]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[[],[[],[[],[[],[]]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[[],[]],[]],[]],[]]]]

[[[],[],[]],[[]],[],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[[],[[[[],[]],[]],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[[],[[],[]]]],[]]]]]

[[[[]],[]],[[]],[],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[[],[[[],[[],[]]],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[[[],[]],[]]],[]]]]]

[[[[],[]]],[[]],[],[]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[[],[[],[[[],[]],[]]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[[],[[],[]]],[]],[]]]]]

[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[[],[[],[[],[[],[]]]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[[[],[]],[]],[]],[]]]]]

[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[[],[[[[],[]],[]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[],[[],[]]]],[]]]]

[[[],[[]]],[[]],[[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[],[[[],[]],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]

[[[[]],[]],[[]],[[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]

[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[[],[[],[[[],[]],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[[],[]]],[]],[]]]]

[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[[],[[],[[],[[],[]]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]]

[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[[],[[[[],[]],[]],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[[],[[],[]]]],[]]]]

[[[],[[]]],[[[]]],[]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[[],[[[],[]],[[],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[]],[[],[]]],[]]]]

[[[[],[]]],[[[]]],[]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[[],[[],[[[],[]],[]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[],[[],[]]],[]],[]]]]

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[[[[[]]]],[[[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[[],[[],[[],[[],[]]]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[[[],[]],[]],[]],[]]]]

[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[[],[[[[],[]],[]],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[[],[[],[]]]],[]]]

[[[],[],[]],[[[[]]]]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[[],[[[[],[]],[]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[],[[],[]]]],[]]]

[[[],[[]]],[[],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[],[[[],[]],[[],[]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]

[[[],[[]]],[[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[],[]],[[],[]]],[]]]

[[[],[[]]],[[[[]]]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[],[[[],[]],[[],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[]],[[],[]]],[]]]

[[[[]],[]],[[],[[]]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[[],[[[],[[],[]]],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[[[],[]],[]]],[]]]

[[[[]],[]],[[[]],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]

[[[[]],[]],[[[[]]]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[[],[[[],[[],[]]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[[],[]],[]]],[]]]

[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]]

[[[[],[]]],[[[[]]]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[],[[],[[[],[]],[]]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[[],[[],[]]],[]],[]]]

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Map

to binary tree: left brother = left child

Description

Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.

Map

to complete tree

Description

Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.

Map

left-right symmetry

Description

Return the left-right symmetrized tree of an ordered tree.