- FindStat

Identifier
Mp00018: Binary trees —left border symmetry⟶ Binary trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Images
=>
            
              Cc0010;cc-rep-0Cc0010;cc-rep-1Cc0021;cc-rep-2
            

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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
left border symmetry
Description
Return the tree where a symmetry has been applied recursively on all left borders. If a tree is made of three trees $T_1, T_2, T_3$ on its left border, it becomes $T_3, T_2, T_1$ where same symmetry has been applied to $T_1, T_2, T_3$.
Map
to ordered tree: left child = left brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
if $x$ is the left child of $y$, $x$ becomes the left brother of $y$,
if $x$ is the right child of $y$, $x$ becomes the last child of $y$.