- FindStat

Identifier

Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00008: Binary trees —to complete tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees

Images

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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: 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

$t$ .

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.