edit this map or download as text // json
Identifier
Mp00015: Binary trees to ordered tree: right child = right brother Ordered trees
Images
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Cc0010;cc-rep-0Cc0021;cc-rep-1
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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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[[[[.,.],[.,.]],[.,.]],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[[]],[]],[]],[[],[[]],[]],[]] [[[.,.],[.,.]],[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]]=>[[[[]],[]],[[]],[],[[[]],[]],[]] [[[.,.],[.,.]],[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]]=>[[[[]],[]],[[]],[],[[],[[]],[]]] [[[.,.],[.,.]],[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[[[]],[]],[[],[[]],[]],[[]],[]] [[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[[[]],[]],[[],[[[]],[]],[]],[]] [[.,.],[[.,.],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]]]=>[[[]],[[]],[],[[[[]],[]],[]],[]] [[.,[.,.]],[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],.]]=>[[[],[]],[[[[]],[]],[],[[]],[]]] [.,[[.,.],[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]]]=>[[],[[]],[[[]],[]],[[],[[]],[]]] [[[.,.],[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]]=>[[[[]],[]],[[],[[],[[]],[]]],[]] [[.,.],[[.,.],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]]]=>[[[]],[[]],[],[[[],[[]],[]]],[]] [.,[[.,.],[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]]]=>[[],[[]],[[[[],[[]],[]]],[]],[]] [.,[[.,.],[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]]]=>[[],[[]],[[[],[[]],[]]],[[]],[]] [[.,.],[[.,.],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]]]=>[[[]],[[]],[],[[],[[[]],[]],[]]] [.,[[.,.],[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]]]=>[[],[[]],[[[],[[[]],[]],[]]],[]] [.,[[.,.],[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]]=>[[],[[]],[[],[[[[]],[]],[]],[]]] [.,[[.,.],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]]=>[[],[[]],[[],[[[]],[]],[[]],[]]] [[.,.],[[.,.],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]]]=>[[[]],[[]],[],[[],[[],[[]],[]]]] [.,[[.,.],[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]]]=>[[],[[]],[[[],[[],[[]],[]]]],[]] [.,[[.,.],[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]]]=>[[],[[]],[[],[[[],[[]],[]]],[]]] [.,[[.,.],[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]]]=>[[],[[]],[[],[[],[[[]],[]],[]]]] [.,[[.,.],[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]]=>[[],[[]],[[],[[],[[],[[]],[]]]]] [[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[[],[]],[]]],[]],[[]],[]] [[[.,[[.,.],[.,.]]],.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[[],[[]],[]]],[[]],[],[[]],[]] [[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,[.,.]]]=>[[[],[[],[]],[[[]],[]],[]],[],[]] [[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],[.,[.,.]]]=>[[[],[[],[]],[[],[[]],[]]],[],[]] [[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]],[]]],[[],[[]],[]],[]] [[.,[[.,[.,.]],[[.,.],[.,.]]]],[.,[[.,.],[.,.]]]]=>[[[],[[],[]],[[]],[]],[],[[]],[]] [[.,[[.,.],[.,.]]],[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[[[],[[]],[]],[],[],[[[]],[]],[]] [.,[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]=>[[],[[[],[]],[[[[]],[]],[]],[]]] [[.,[[.,.],[.,.]]],[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[[],[[]],[]],[],[],[[],[[]],[]]] [.,[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],.]]=>[[],[[[],[]],[[[],[[]],[]]],[]]] [.,[[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],.]]=>[[],[[[],[]],[[],[[[]],[]],[]]]] [.,[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]=>[[],[[[],[]],[[],[[],[[]],[]]]]] [[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[[[],[]],[]],[]]],[[]],[]] [[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],[.,[.,.]]]=>[[[],[[[],[]],[[]],[]],[]],[],[]] [[.,[[[.,.],[.,.]],[.,.]]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[[]],[]],[]],[],[],[[]],[]] [.,[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.]]=>[[],[[[[],[]],[[[]],[]],[]],[]]] [.,[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],.]]=>[[],[[[[],[]],[[],[[]],[]]],[]]] [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[[[],[]],[]],[]],[]],[],[]] [.,[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.]]=>[[],[[[[[],[]],[[]],[]],[]],[]]] [[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],.]=>[[[[[[[]],[]],[]],[]],[[]],[]]] [.,[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],.]]=>[[],[[[[[]],[]],[]],[],[[]],[]]] [[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],.]=>[[[[[[[]],[]],[]],[[]],[]],[]]] [[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],.]=>[[[[[[]],[]],[]],[[[]],[]],[]]] [[[[[.,.],[.,.]],[.,.]],[[.,[[.,.],[.,.]]],.]],.]=>[[[[[[]],[]],[]],[[],[[]],[]]]] [[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],[.,[.,.]]]=>[[[],[[[]],[]],[],[[]],[]],[],[]] [.,[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]]=>[[],[[[[],[]],[[]],[]],[[]],[]]] [.,[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],.]]=>[[],[[[[[]],[]],[],[[]],[]],[]]] [[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.]=>[[[[[[[]],[]],[[]],[]],[]],[]]] [[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]=>[[[[[[]],[]],[[]],[]],[[]],[]]] [.,[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],.]]=>[[],[[[[]],[]],[],[[[]],[]],[]]] [[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.]=>[[[[[[]],[]],[[[]],[]],[]],[]]] [[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]=>[[[[[]],[]],[[[[]],[]],[]],[]]] [[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.],.]=>[[[[[],[]],[[[]],[]],[[]],[]]]] [.,[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],.]]=>[[],[[[[]],[]],[],[[],[[]],[]]]] [[[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],.]=>[[[[[[]],[]],[[],[[]],[]]],[]]] [[[[.,.],[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],.]=>[[[[[]],[]],[[[],[[]],[]]],[]]] [[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],.]=>[[[[[]],[]],[[],[[[]],[]],[]]]] [[[[.,.],[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],.]=>[[[[[]],[]],[[],[[],[[]],[]]]]] [[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[[.,.],[.,.]]]=>[[[[],[[],[[],[]],[]]]],[[]],[]] [[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],[.,[.,.]]]=>[[[],[[],[[],[]],[[]],[]]],[],[]] [[.,[[.,[[.,.],[.,.]]],.]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[],[[]],[]]],[],[],[[]],[]] [.,[[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.],.]]=>[[],[[[],[[],[]],[[[]],[]],[]]]] [.,[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],.]]=>[[],[[[],[[],[]],[[],[[]],[]]]]] [[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],[.,[.,.]]]=>[[[],[[[],[[],[]],[]]],[]],[],[]] [.,[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],.]]=>[[],[[[[],[[],[]],[[]],[]]],[]]] [.,[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],.]]=>[[],[[[[[],[[],[]],[]]],[]],[]]] [[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[[],[[]],[]]],[]],[]],[]]] [[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[[],[[]],[]]],[]],[[]],[]]] [.,[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],.]]=>[[],[[[[],[[]],[]]],[],[[]],[]]] [[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]],.]=>[[[[[[],[[]],[]]],[[]],[]],[]]] [[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[[],[[]],[]]],[[[]],[]],[]]] [[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]],.]=>[[[[[],[[]],[]]],[[],[[]],[]]]] [[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],[.,[.,.]]]=>[[[],[[],[[[],[]],[]],[]]],[],[]] [.,[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],.]]=>[[],[[[],[[[],[]],[[]],[]],[]]]] [.,[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],.]]=>[[],[[[[],[[[],[]],[]],[]]],[]]] [[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]],.]=>[[[[[[],[[[]],[]],[]]],[]],[]]] [[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]],.]=>[[[[[],[[[]],[]],[]]],[[]],[]]] [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],.]]=>[[],[[[],[[[[],[]],[]],[]],[]]]] [[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]],.]=>[[[[[],[[[[]],[]],[]],[]]],[]]] [[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.],.]=>[[[[],[[[[[]],[]],[]],[]],[]]]] [[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.],.]=>[[[[],[[[[]],[]],[]],[[]],[]]]] [.,[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],.]]=>[[],[[[],[[[]],[]],[],[[]],[]]]] [[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]],.]=>[[[[[],[[[]],[]],[[]],[]]],[]]] [[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.],.]=>[[[[],[[[[]],[]],[[]],[]],[]]]] [[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.],.]=>[[[[],[[[]],[]],[[[]],[]],[]]]] [[[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]],.],.]=>[[[[],[[[]],[]],[[],[[]],[]]]]] [[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],[.,[.,.]]]=>[[[],[[],[[],[[],[]],[]]]],[],[]] [.,[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],.]]=>[[],[[[],[[],[[],[]],[[]],[]]]]] [.,[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],.]]=>[[],[[[[],[[],[[],[]],[]]]],[]]] [[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]],.]=>[[[[[[],[[],[[]],[]]]],[]],[]]] [[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]],.]=>[[[[[],[[],[[]],[]]]],[[]],[]]] [.,[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],.]]=>[[],[[[],[[[],[[],[]],[]]],[]]]] [[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]],.]=>[[[[[],[[[],[[]],[]]],[]]],[]]] [[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.],.]=>[[[[],[[[[],[[]],[]]],[]],[]]]] [[[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]],.],.]=>[[[[],[[[],[[]],[]]],[[]],[]]]] [.,[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],.]]=>[[],[[[],[[],[[[],[]],[]],[]]]]] [[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]],.]=>[[[[[],[[],[[[]],[]],[]]]],[]]] [[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.],.]=>[[[[],[[[],[[[]],[]],[]]],[]]]] [[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.],.]=>[[[[],[[],[[[[]],[]],[]],[]]]]] [[[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],.],.]=>[[[[],[[],[[[]],[]],[[]],[]]]]] [.,[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],.]]=>[[],[[[],[[],[[],[[],[]],[]]]]]] [[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]],.]=>[[[[[],[[],[[],[[]],[]]]]],[]]] [[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.],.]=>[[[[],[[[],[[],[[]],[]]]],[]]]] [[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.],.]=>[[[[],[[],[[[],[[]],[]]],[]]]]] [[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.],.]=>[[[[],[[],[[],[[[]],[]],[]]]]]] [[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.],.]=>[[[[],[[],[[],[[],[[]],[]]]]]]] [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]],.]=>[[[[[[[[[[[[]]]]]]]]]],[]]] [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]=>[[],[[]],[],[],[],[],[],[],[],[],[]] [.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]=>[[],[[],[],[],[],[],[],[],[],[],[]]] [[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]],.]=>[[[],[[[[[[[[[[]]]]]]]]]]]] [[[[.,.],[.,.]],[[.,.],[[.,.],.]]],[[.,.],[.,.]]]=>[[[[[]],[]],[[]],[[]]],[[]],[]]
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
  • if $x$ is the right child of $y$, $x$ becomes the right brother of $y$,
  • if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
Properties
bijective, graded
Sage code
def mapping(elt):
    return elt.to_ordered_tree_right_branch()
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey