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
=>
Cc0021;cc-rep-0Cc0021;cc-rep-1Cc0010;cc-rep-2
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[[[],[[[[],[]]],[]]]]=>[[[[],[[[],[]]]],[]]]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[[[],[[[[[]]]],[]]]]=>[[[[],[[[[]]]]],[]]]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[[[],[[[],[],[],[]]]]]=>[[[[[],[],[],[]]],[]]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[[[],[[[],[],[[]]]]]]=>[[[[[[]],[],[]]],[]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[[[],[[[],[[]],[]]]]]=>[[[[[],[[]],[]]],[]]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[[[],[[[],[[],[]]]]]]=>[[[[[[],[]],[]]],[]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[[[],[[[],[[[]]]]]]]=>[[[[[[[]]],[]]],[]]]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[[[],[[[[]],[],[]]]]]=>[[[[[],[],[[]]]],[]]]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[[[],[[[[]],[[]]]]]]=>[[[[[[]],[[]]]],[]]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[[[],[[[[],[]],[]]]]]=>[[[[[],[[],[]]]],[]]]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[[[],[[[[[]]],[]]]]]=>[[[[[],[[[]]]]],[]]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[[[],[[[[],[],[]]]]]]=>[[[[[[],[],[]]]],[]]]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[[[],[[[[],[[]]]]]]]=>[[[[[[[]],[]]]],[]]]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[[[],[[[[[]],[]]]]]]=>[[[[[[],[[]]]]],[]]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[[[],[[[[[],[]]]]]]]=>[[[[[[[],[]]]]],[]]]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[[[],[[[[[[]]]]]]]]=>[[[[[[[[]]]]]],[]]]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[[[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[[[]],[],[],[],[[]]]]=>[[[[]],[],[],[],[[]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[[[[]],[],[],[[]],[]]]=>[[[],[[]],[],[],[[]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[[[[]],[],[],[[],[]]]]=>[[[[],[]],[],[],[[]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[[[[]],[],[],[[[]]]]]=>[[[[[]]],[],[],[[]]]]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[[[[]],[],[[]],[],[]]]=>[[[],[],[[]],[],[[]]]]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[[[[]],[],[[]],[[]]]]=>[[[[]],[[]],[],[[]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[[[[]],[],[[],[]],[]]]=>[[[],[[],[]],[],[[]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[[[[]],[],[[[]]],[]]]=>[[[],[[[]]],[],[[]]]]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[[[]],[],[[],[],[]]]]=>[[[[],[],[]],[],[[]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[[[[]],[],[[],[[]]]]]=>[[[[[]],[]],[],[[]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[[[[]],[],[[[]],[]]]]=>[[[[],[[]]],[],[[]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[[[[]],[],[[[],[]]]]]=>[[[[[],[]]],[],[[]]]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[[[[]],[],[[[[]]]]]]=>[[[[[[]]]],[],[[]]]]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[[[[]],[[]],[],[[]]]]=>[[[[]],[],[[]],[[]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[[[[]],[[]],[[]],[]]]=>[[[],[[]],[[]],[[]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[[[[]],[[]],[[],[]]]]=>[[[[],[]],[[]],[[]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[[[]],[[]],[[[]]]]]=>[[[[[]]],[[]],[[]]]]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[[[[]],[[],[]],[],[]]]=>[[[],[],[[],[]],[[]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[[[[]],[[[]]],[],[]]]=>[[[],[],[[[]]],[[]]]]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[[[[]],[[],[]],[[]]]]=>[[[[]],[[],[]],[[]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[[[[]],[[[]]],[[]]]]=>[[[[]],[[[]]],[[]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[[[[]],[[],[],[]],[]]]=>[[[],[[],[],[]],[[]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[[[[]],[[[]],[]],[]]]=>[[[],[[],[[]]],[[]]]]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[[[[]],[[[],[]]],[]]]=>[[[],[[[],[]]],[[]]]]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[[[[]],[[[[]]]],[]]]=>[[[],[[[[]]]],[[]]]]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]
[[[[]],[[],[],[],[]]]]=>[[[[],[],[],[]],[[]]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[[[[]],[[],[],[[]]]]]=>[[[[[]],[],[]],[[]]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[[[[]],[[],[[]],[]]]]=>[[[[],[[]],[]],[[]]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[[[[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[]]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[[[[]],[[],[[[]]]]]]=>[[[[[[]]],[]],[[]]]]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[[[[]],[[[]],[],[]]]]=>[[[[],[],[[]]],[[]]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[[[[]],[[[]],[[]]]]]=>[[[[[]],[[]]],[[]]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[[[[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[]]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[[[[]],[[[[]]],[]]]]=>[[[[],[[[]]]],[[]]]]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[[[[]],[[[],[[]]]]]]=>[[[[[[]],[]]],[[]]]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[[[[]],[[[[]],[]]]]]=>[[[[[],[[]]]],[[]]]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[[[[]],[[[[],[]]]]]]=>[[[[[[],[]]]],[[]]]]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[[[[]],[[[[[]]]]]]]=>[[[[[[[]]]]],[[]]]]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[[[[[]]],[],[],[],[]]]=>[[[],[],[],[],[[[]]]]]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[[[[[]]],[],[],[[]]]]=>[[[[]],[],[],[[[]]]]]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[[[[[]]],[],[[]],[]]]=>[[[],[[]],[],[[[]]]]]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]
[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[[[[[]]],[],[[],[]]]]=>[[[[],[]],[],[[[]]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[[[[[]]],[],[[[]]]]]=>[[[[[]]],[],[[[]]]]]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[[[[[]]],[[]],[[]]]]=>[[[[]],[[]],[[[]]]]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[[[[[]]],[[],[]],[]]]=>[[[],[[],[]],[[[]]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[[[[[]]],[[[]]],[]]]=>[[[],[[[]]],[[[]]]]]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[[[[],[]],[[],[[]]]]]=>[[[[[]],[]],[[],[]]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[[[[],[]],[[[],[]]]]]=>[[[[[],[]]],[[],[]]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[[[[],[]],[[[[]]]]]]=>[[[[[[]]]],[[],[]]]]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[[[[[]]],[[],[[]]]]]=>[[[[[]],[]],[[[]]]]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[[[[[]]],[[[]],[]]]]=>[[[[],[[]]],[[[]]]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[[[[[]]],[[[],[]]]]]=>[[[[[],[]]],[[[]]]]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[[[[[]]],[[[[]]]]]]=>[[[[[[]]]],[[[]]]]]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[[[[],[],[]],[],[],[]]]=>[[[],[],[],[[],[],[]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[[[[[],[]]],[],[],[]]]=>[[[],[],[],[[[],[]]]]]=>[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]
[[[[[[]]]],[],[],[]]]=>[[[],[],[],[[[[]]]]]]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[[[[],[],[]],[],[[]]]]=>[[[[]],[],[[],[],[]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[[[[],[[]]],[],[[]]]]=>[[[[]],[],[[[]],[]]]]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[[[[[]],[]],[],[[]]]]=>[[[[]],[],[[],[[]]]]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[[[[[],[]]],[],[[]]]]=>[[[[]],[],[[[],[]]]]]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[[[[[[]]]],[],[[]]]]=>[[[[]],[],[[[[]]]]]]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]
[[[[],[],[]],[[]],[]]]=>[[[],[[]],[[],[],[]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[[[[],[[]]],[[]],[]]]=>[[[],[[]],[[[]],[]]]]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[[[[[]],[]],[[]],[]]]=>[[[],[[]],[[],[[]]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[[[[[],[]]],[[]],[]]]=>[[[],[[]],[[[],[]]]]]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[[[[[[]]]],[[]],[]]]=>[[[],[[]],[[[[]]]]]]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[[[[],[[]]],[[],[]]]]=>[[[[],[]],[[[]],[]]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[[[[[]],[]],[[],[]]]]=>[[[[],[]],[[],[[]]]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[[[[[]],[]],[[[]]]]]=>[[[[[]]],[[],[[]]]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[[[[[],[]]],[[[]]]]]=>[[[[[]]],[[[],[]]]]]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[[[[[[]]]],[[],[]]]]=>[[[[],[]],[[[[]]]]]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[[[[],[],[],[]],[],[]]]=>[[[],[],[[],[],[],[]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[[[[],[],[[]]],[],[]]]=>[[[],[],[[[]],[],[]]]]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[[[[],[[]],[]],[],[]]]=>[[[],[],[[],[[]],[]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[[[[],[[],[]]],[],[]]]=>[[[],[],[[[],[]],[]]]]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
[[[[],[[[]]]],[],[]]]=>[[[],[],[[[[]]],[]]]]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[[[[[]],[],[]],[],[]]]=>[[[],[],[[],[],[[]]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[[[[[]],[[]]],[],[]]]=>[[[],[],[[[]],[[]]]]]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[[[[],[]],[]],[],[]]]=>[[[],[],[[],[[],[]]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[[[[[[]]],[]],[],[]]]=>[[[],[],[[],[[[]]]]]]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[[[[[],[],[]]],[],[]]]=>[[[],[],[[[],[],[]]]]]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]
[[[[[],[[]]]],[],[]]]=>[[[],[],[[[[]],[]]]]]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[[[[[[]],[]]],[],[]]]=>[[[],[],[[[],[[]]]]]]=>[[.,[.,[[[.,[[.,.],.]],.],.]]],.]
[[[[[[],[]]]],[],[]]]=>[[[],[],[[[[],[]]]]]]=>[[.,[.,[[[[.,[.,.]],.],.],.]]],.]
[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]
[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[[[[],[],[[]]],[[]]]]=>[[[[]],[[[]],[],[]]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[[[[],[[]],[]],[[]]]]=>[[[[]],[[],[[]],[]]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[[[[],[[],[]]],[[]]]]=>[[[[]],[[[],[]],[]]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[[[[],[[[]]]],[[]]]]=>[[[[]],[[[[]]],[]]]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[[[[[]],[[]]],[[]]]]=>[[[[]],[[[]],[[]]]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]
[[[[[],[],[]]],[[]]]]=>[[[[]],[[[],[],[]]]]]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[[[[[],[[]]]],[[]]]]=>[[[[]],[[[[]],[]]]]]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]
[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]
[[[[[[],[]]]],[[]]]]=>[[[[]],[[[[],[]]]]]]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]
[[[[[[[]]]]],[[]]]]=>[[[[]],[[[[[]]]]]]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[[[[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[]]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[[[[],[],[],[[]]],[]]]=>[[[],[[[]],[],[],[]]]]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[[[[],[],[[]],[]],[]]]=>[[[],[[],[[]],[],[]]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[[[[],[],[[],[]]],[]]]=>[[[],[[[],[]],[],[]]]]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[[[[],[],[[[]]]],[]]]=>[[[],[[[[]]],[],[]]]]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[[[[],[[]],[[]]],[]]]=>[[[],[[[]],[[]],[]]]]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[[[[],[[],[]],[]],[]]]=>[[[],[[],[[],[]],[]]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[[[[],[[[]]],[]],[]]]=>[[[],[[],[[[]]],[]]]]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]
[[[[],[[],[],[]]],[]]]=>[[[],[[[],[],[]],[]]]]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[[[[],[[],[[]]]],[]]]=>[[[],[[[[]],[]],[]]]]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[[[[],[[[]],[]]],[]]]=>[[[],[[[],[[]]],[]]]]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[[[[],[[[],[]]]],[]]]=>[[[],[[[[],[]]],[]]]]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[[[[],[[[[]]]]],[]]]=>[[[],[[[[[]]]],[]]]]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[[[[[]],[],[],[]],[]]]=>[[[],[[],[],[],[[]]]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[[[[[]],[],[[]]],[]]]=>[[[],[[[]],[],[[]]]]]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]
[[[[[]],[[]],[]],[]]]=>[[[],[[],[[]],[[]]]]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[[[[[]],[[],[]]],[]]]=>[[[],[[[],[]],[[]]]]]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[[[[[]],[[[]]]],[]]]=>[[[],[[[[]]],[[]]]]]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]
[[[[[],[]],[],[]],[]]]=>[[[],[[],[],[[],[]]]]]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[[[[[[]]],[],[]],[]]]=>[[[],[[],[],[[[]]]]]]=>[[.,[[.,[.,[[[.,.],.],.]]],.]],.]
[[[[[],[]],[[]]],[]]]=>[[[],[[[]],[[],[]]]]]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[[[[[[]]],[[]]],[]]]=>[[[],[[[]],[[[]]]]]]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[[[[[],[],[]],[]],[]]]=>[[[],[[],[[],[],[]]]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[[[[[],[[]]],[]],[]]]=>[[[],[[],[[[]],[]]]]]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]
[[[[[[]],[]],[]],[]]]=>[[[],[[],[[],[[]]]]]]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[[[[[[],[]]],[]],[]]]=>[[[],[[],[[[],[]]]]]]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]
[[[[[],[],[],[]]],[]]]=>[[[],[[[],[],[],[]]]]]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[[[[[],[],[[]]]],[]]]=>[[[],[[[[]],[],[]]]]]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[[[[[],[[]],[]]],[]]]=>[[[],[[[],[[]],[]]]]]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]
[[[[[],[[],[]]]],[]]]=>[[[],[[[[],[]],[]]]]]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[[[[[],[[[]]]]],[]]]=>[[[],[[[[[]]],[]]]]]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]
[[[[[[]],[],[]]],[]]]=>[[[],[[[],[],[[]]]]]]=>[[.,[[[.,[.,[[.,.],.]]],.],.]],.]
[[[[[[]],[[]]]],[]]]=>[[[],[[[[]],[[]]]]]]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.]
[[[[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]]]]]=>[[.,[[[.,[[.,[.,.]],.]],.],.]],.]
[[[[[[[]]],[]]],[]]]=>[[[],[[[],[[[]]]]]]]=>[[.,[[[.,[[[.,.],.],.]],.],.]],.]
[[[[[[],[],[]]]],[]]]=>[[[],[[[[],[],[]]]]]]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[[[[[[],[[]]]]],[]]]=>[[[],[[[[[]],[]]]]]]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[[[[[[[]],[]]]],[]]]=>[[[],[[[[],[[]]]]]]]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]
[[[[[[[],[]]]]],[]]]=>[[[],[[[[[],[]]]]]]]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]
[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]
[[[[],[],[],[],[],[]]]]=>[[[[],[],[],[],[],[]]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[[[[],[],[],[],[[]]]]]=>[[[[[]],[],[],[],[]]]]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[[[[],[],[],[[]],[]]]]=>[[[[],[[]],[],[],[]]]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[[[[],[],[],[[],[]]]]]=>[[[[[],[]],[],[],[]]]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
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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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