Identifier
Mp00019: Binary trees —right rotate⟶ Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Images
=>
Cc0010;cc-rep-0Cc0010;cc-rep-1Cc0021;cc-rep-2Cc0021;cc-rep-3
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[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[[[[]],[[],[[[]]]]]]=>[[[[[[]]],[]],[[]]]] [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[[[[]],[[[]],[],[]]]]=>[[[[],[],[[]]],[[]]]] [.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[]],[[[]],[[]]]]]=>[[[[[]],[[]]],[[]]]] [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[[[[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[]]]] [.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[[[[]],[[[[]]],[]]]]=>[[[[],[[[]]]],[[]]]] [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]] [.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[[[[]],[[[],[[]]]]]]=>[[[[[[]],[]]],[[]]]] [.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[[[[]],[[[[]],[]]]]]=>[[[[[],[[]]]],[[]]]] [.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[[[[]],[[[[],[]]]]]]=>[[[[[[],[]]]],[[]]]] [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]=>[[[[[[[]]]]],[[]]]] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]] [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]] [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]] [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]] [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]] [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]] [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]] [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]] [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]] [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[[],[]],[[],[[]]]]]=>[[[[[]],[]],[[],[]]]] [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]] [.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[[[[],[]],[[[],[]]]]]=>[[[[[],[]]],[[],[]]]] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]=>[[[[[[]]]],[[],[]]]] 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[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[]],[[],[]]]] [[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],[.,.]]=>[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[[.,.],[.,.]]]=>[[[[],[[],[]],[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]],[[],[]],[]]]] [[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]],[[],[]]]]] [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[[],[[[[[[],[]],[]],[]],[]],[]]]=>[[[],[[],[[],[[],[[],[]]]]]],[]] [[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[[[]],[]],[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[],[[],[[]]]]] [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[[[],[]],[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[],[[],[]]]]]] [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[[[[[[[[]]]]]]],[],[]]=>[[],[],[[[[[[[]]]]]]]] [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[[[[[[[[[]]]]]]]],[],[]]=>[[],[],[[[[[[[[]]]]]]]]] [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[[[[[[[[[],[]]]]]]]]]=>[[[[[[[[[],[]]]]]]]]] [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[[[[[[[[[]],[]]]]]]]]=>[[[[[[[[],[[]]]]]]]]] [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[[[[[[[[],[[]]]]]]]]]=>[[[[[[[[[]],[]]]]]]]] [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[[[[[[[[[[],[]]]]]]]]]]=>[[[[[[[[[[],[]]]]]]]]]] [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[[]]]]]],[],[],[]]=>[[],[],[],[[[[[[]]]]]]] [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[[],[],[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]],[],[]] [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[],[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[[],[],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[],[],[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[[],[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[[],[],[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[[],[],[],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[],[],[]] [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]=>[[],[[]],[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]],[[]],[]] [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]=>[[],[[]],[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]],[[]],[]] [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[],[[[],[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[],[]]],[]] [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]=>[[],[[[],[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]],[]]],[]] [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]=>[[],[[[[],[]],[]]],[[],[]]]=>[[[],[]],[[[],[[],[]]]],[]] [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]]=>[[],[[]],[[[],[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]],[]]],[[]],[]] [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]=>[.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]]=>[[],[[]],[[[[],[]],[[],[]]],[]]]=>[[[],[[[],[]],[[],[]]]],[[]],[]] [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]]=>[[],[[]],[[[[],[[],[]]],[]],[]]]=>[[[],[[],[[[],[]],[]]]],[[]],[]] [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]]=>[[],[[]],[[[[[],[]],[]],[]],[]]]=>[[[],[[],[[],[[],[]]]]],[[]],[]] [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]=>[[],[[[],[]]],[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]],[[[],[]]],[]] [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]=>[[],[[[],[]]],[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]],[[[],[]]],[]] [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]]=>[.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[],[[[],[[],[]]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[[],[]],[]]],[]] [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[],[[[[],[]],[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[],[[],[]]]],[]] [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]]=>[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]]=>[[],[[[],[[[],[]],[]]]],[[],[]]]=>[[[],[]],[[[[],[[],[]]],[]]],[]] [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]]=>[[],[[[[],[]],[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]],[[],[]]]],[]] [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]]=>[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]]=>[[],[[[[],[[],[]]],[]]],[[],[]]]=>[[[],[]],[[[],[[[],[]],[]]]],[]] [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]]=>[[],[[[[[],[]],[]],[]]],[[],[]]]=>[[[],[]],[[[],[[],[[],[]]]]],[]] [[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]],[.,.]]=>[.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]]=>[[],[[[]],[[[],[[],[]]],[]]],[]]=>[[],[[[],[[[],[]],[]]],[[]]],[]] [[[[.,.],[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[[]],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[[]]]] [[.,[[[.,.],.],[.,.]]],[[.,.],[.,.]]]=>[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]],[]] [[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]]=>[[[[],[[],[],[]]],[]],[]]=>[[],[[],[[[],[],[]],[]]]] [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[],[[]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[]],[]] [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[]],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[[]]] [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[],[[]],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[[]],[]] [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[[[],[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[],[]]] [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[[[[[[[[],[]]]]]]],[]]=>[[],[[[[[[[],[]]]]]]]] [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[[[],[],[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[],[],[]]] [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[[[[]],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[[]]]] [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[[[[[[[[]],[]]]]]],[]]=>[[],[[[[[[],[[]]]]]]]] [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[],[]]]]]]]],[]]=>[[],[[[[[[[[],[]]]]]]]]] [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[[[],[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]],[]]] [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[[[[]],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[[]]]] [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[[[[]],[],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[],[[]]]] [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[],[[[]],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[[]]],[]] [[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[],[[[]],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[[]]],[]] [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[],[[[[]],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[[]]]],[]] [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]=>[[],[[[[]],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[[]]]],[]] [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]=>[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[]]]]],[]] [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[],[[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]]],[]] [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]]]],[]] [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]],[]]] [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]=>[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]]],[]]] [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[],[[[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[]]],[]] [[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]=>[[],[[[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[]]],[]] [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[]],[]]] [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[]],[]]] [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]],[]]]] [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[],[[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[]],[]] [[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[],[[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[]],[]] [[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[],[[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[]],[]] [[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[],[]]] [[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[],[]]] [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[],[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[],[]]] [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[],[]]]] [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[],[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[],[]]]] [[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]]=>[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]]=>[[],[[[]],[[]],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[[]],[[]]],[]] [[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]]=>[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]]=>[[],[[[]],[[]],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[[]],[[]]],[]] [[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]]=>[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]]=>[[],[[[]],[[[]],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[[]]],[[]]],[]] [[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]]=>[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]]=>[[],[[[]],[[[]],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[[]]],[[]]],[]] [[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]]=>[.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]]=>[[],[[[]],[[[[]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[]]]],[[]]],[]] [[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]]=>[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]]=>[[],[[[[]],[[]],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[[]],[[]]]],[]] [[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]]=>[.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]]=>[[],[[[[]],[[[]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[]]],[[]]]],[]] [[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]]=>[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]]=>[[],[[[[]],[[]],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[[]],[[]]]],[]] [[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]]=>[.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[]],[[]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[]],[[]]]]],[]] [[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[],[[[[]],[]],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[[],[[]]]],[]] [[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[],[[[[]],[]],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[[],[[]]]],[]] [[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[],[[[[[]],[]],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[[],[[]]]]],[]] [[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]]=>[[],[[[[[]],[]],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[[],[[]]]]],[]] [[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]]=>[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[[]],[]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[],[[]]]]]],[]] [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]]=>[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]]=>[[],[[[]],[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]],[[]]],[]] [[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]]=>[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]]=>[[],[[[]],[[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]]],[[]]],[]] [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]]=>[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[]],[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]],[[]]]],[]] [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[],[[[[]],[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[],[[]]]],[]] [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[[]],[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[],[[]]]]],[]] [[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]]=>[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]]=>[[[],[[]],[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]],[[]],[]]] [[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],[.,.]]=>[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[]],[[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]]],[[]],[]]] [[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]]=>[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[]],[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]],[[]]],[]]] [[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[[]],[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[],[[]]],[]]] [[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]]=>[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[[]],[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[],[[]]]],[]]] [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]]=>[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]]=>[[],[[[]],[[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[]],[[]]],[]] [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[],[[[[]],[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[],[[]]]],[]] [[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]]=>[.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]]=>[[],[[[]],[[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[]],[[]]],[]] [[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]]=>[[],[[[[]],[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[],[[]]]],[]] [[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]],[[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[]],[[]],[]]] [[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[[]],[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[],[[]]],[]]] [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[]],[[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[]],[[]],[]]] [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[[]],[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[],[[]]],[]]] [[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[]],[[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[]],[[]],[]]]] [[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[[]],[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[],[[]]],[]]]] [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[],[[[]],[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[],[[]]],[]] [[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[],[[[]],[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[],[[]]],[]] [[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[],[[[]],[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[],[[]]],[]] [[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[[],[[[]],[]],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[[],[[]]],[]] [[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[],[[]],[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[],[[]],[]]] [[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[],[[]],[]],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[[],[[]],[]]] [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[],[[]],[]],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[[],[[]],[]]] [[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[[],[[]],[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[],[[]],[]]]] [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[]],[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[],[[]],[]]] [[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[],[[]],[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[],[[]],[]]] [[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[[],[[]],[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[],[[]],[]]]] [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[],[[]],[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[],[[]],[]]]] [[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[[],[[]],[]],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[[],[[]],[]]]]] [[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]]=>[[],[[]],[[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[]],[[]],[]] [[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[.,[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]]=>[[],[[]],[[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[]],[[]],[]] [[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]]=>[[],[[]],[[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[]],[[]],[]] [[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]]=>[[],[[]],[[]],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[[]],[[]],[]] [[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]]=>[[],[[]],[[]],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[[]],[[]],[]] [[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]]=>[[],[[]],[[[]],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[[]]],[[]],[]] [[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]]=>[[],[[]],[[[]],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[[]]],[[]],[]] [[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]]=>[[],[[]],[[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]]],[[]],[]] [[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]]=>[[],[[]],[[[[]],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[[]]]],[[]],[]] [[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]]=>[[],[[]],[[[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[]]],[[]],[]] [[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[[],[]],[[[]],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[[]]],[[],[]]] [[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[[],[]],[[[]],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[[]]],[[],[]]] [[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[[],[]],[[[[]],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[[]]]],[[],[]]] [[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[[]],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[[]]]],[[],[]]] [[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[[],[]],[[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]]],[[],[]]] [[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[[],[]],[[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[]],[[],[]]]] [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[[],[]],[[[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[]]],[[],[]]] [[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[[],[]],[[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[]],[[],[]]] [[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[[],[]],[[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[]],[[],[]]] [[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[[],[]],[[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[]],[[],[]]] [[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[[[],[]],[[]],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[[]],[[],[]]] [[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[[],[]],[]],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[[],[[],[]]]] [[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[[],[[],[]]]] [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[],[]],[]],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[[],[[],[]]]] [[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[[],[[],[]]]]] [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[[],[]],[]],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[[],[[],[]]]] [[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[[],[]],[]],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[[],[[],[]]]] [[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[[],[[],[]]]]] [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[[],[]],[]],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[[],[[],[]]]]] [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[[[[[[[[[]]]]]]],[]]]=>[[[],[[[[[[[]]]]]]]]] [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[[[[[[[],[]]]]]],[[]]]=>[[[]],[[[[[[],[]]]]]]] [.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[[[[[[[[[]]]]]],[]]]]=>[[[[],[[[[[[]]]]]]]]] [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[[[[[[[[[[]]]]]]]],[]]]=>[[[],[[[[[[[[]]]]]]]]]] [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[[],[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]],[]] [[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[[[[[[[],[[]]]]]]],[]]=>[[],[[[[[[[]],[]]]]]]] [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[[[],[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]],[]]] [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>[[],[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]],[]] [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[[],[[[[[[[[[]]]]]]]]]]=>[[[[[[[[[[]]]]]]]]],[]] [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[]]]]]]],[[]]]=>[[[]],[[[[[[[]]]]]]]] [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[[]]]]]]]],[[]]]=>[[[]],[[[[[[[[]]]]]]]]] [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[[[[],[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[],[]]]] [.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[[[[[[[[],[],[]]]]]]]]=>[[[[[[[[],[],[]]]]]]]] [.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[[[[[[[],[],[],[]]]]]]]=>[[[[[[[],[],[],[]]]]]]] [.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[[[[[[],[],[],[],[]]]]]]=>[[[[[[],[],[],[],[]]]]]] [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[[[[[],[],[],[],[],[]]]]]=>[[[[[],[],[],[],[],[]]]]] [.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[[[[[[[[[],[],[]]]]]]]]]=>[[[[[[[[[],[],[]]]]]]]]] [.,[[[[[[.,.],[.,[.,.]]],.],.],.],.]]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>[[[[[[[[]],[],[]]]]]]]=>[[[[[[[],[],[[]]]]]]]] [.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[[[[[[[[],[],[],[]]]]]]]]=>[[[[[[[[],[],[],[]]]]]]]] [.,[[[[[.,.],[.,[.,[.,.]]]],.],.],.]]=>[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.]=>[[[[[[[]],[],[],[]]]]]]=>[[[[[[],[],[],[[]]]]]]] [.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[[[[[[[],[],[],[],[]]]]]]]=>[[[[[[[],[],[],[],[]]]]]]] [.,[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]]=>[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.]=>[[[[[[]],[],[],[],[]]]]]=>[[[[[],[],[],[],[[]]]]]] [.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[[[[[[],[],[],[],[],[]]]]]]=>[[[[[[],[],[],[],[],[]]]]]] [.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[[[[[],[],[],[],[],[],[]]]]]=>[[[[[],[],[],[],[],[],[]]]]] [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[[[]]]]]]]]]],[]]=>[[],[[[[[[[[[[]]]]]]]]]]] [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[]],[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[],[[]]] [.,[[[[[[[.,.],.],.],.],[.,.]],.],.]]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[[[[[[[[[]]]]],[]]]]]=>[[[[[],[[[[[]]]]]]]]] [[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[[[[[[[]]]]]],[[[[]]]]]=>[[[[[]]]],[[[[[[]]]]]]] [.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]]=>[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[[[[[[[[[[]]]],[]]]]]]]=>[[[[[[[],[[[[]]]]]]]]]] [[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[[],[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[[],[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[],[]] [[.,.],[.,[.,[[[[[.,.],.],.],.],.]]]]=>[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[[],[],[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[],[],[]] [[.,.],[.,[[[[[[.,.],.],.],.],.],.]]]=>[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[[],[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[],[]] [[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>[[],[],[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>[[],[],[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[],[],[]] [[.,.],[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[[],[],[],[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[],[],[],[]] [[.,.],[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>[[],[],[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[],[],[]] [[.,.],[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[[],[],[],[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]],[],[],[]] [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[[],[[]],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[[]],[]] [[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[[[]],[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]],[[]]] [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[],[[]],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[[]],[]] [[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]=>[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[],[[]],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[[]],[]] [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[[[]]]]]]],[],[],[]]=>[[],[],[],[[[[[[[]]]]]]]] [[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.]=>[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]=>[[],[[[[],[],[],[],[]]]]]=>[[[[[],[],[],[],[]]]],[]] [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[[]]]]],[],[],[],[]]=>[[],[],[],[],[[[[[]]]]]] [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[[]]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[[]]]]] [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[[]]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[[]]]] [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[[[]]]]]],[],[],[],[]]=>[[],[],[],[],[[[[[[]]]]]]] [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[[[]]]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[[[]]]]]] [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[[[]]]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[[[]]]]] [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[[]]],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[[[]]]] [[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[[[],[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[],[]]] [[[[[.,.],[.,.]],[.,.]],.],[[.,.],[.,.]]]=>[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[[]],[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[],[[]]]]] [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[[],[],[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[],[],[]] [.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[[[[[[[[[[]],[]]]]]]]]]=>[[[[[[[[[],[[]]]]]]]]]] [.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]=>[[[[],[[],[],[],[],[]]]]]=>[[[[[],[],[],[],[]],[]]]] [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[[],[[[[[[[],[]]]]]]]]=>[[[[[[[[],[]]]]]]],[]] [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[[],[],[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]],[],[]] [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>[[],[[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]]],[]] [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[[],[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]],[]] [[.,.],[[.,[[[[[.,.],.],.],.],.]],.]]=>[.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]]=>[[],[],[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]],[],[]] [[.,[[[[[[.,.],[.,.]],.],.],.],.]],.]=>[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[[],[[[[[[[]],[]]]]]]]=>[[[[[[[],[[]]]]]]],[]] [[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]=>[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[[],[[],[[[[[[]]]]]]]]=>[[[[[[[[]]]]]],[]],[]] [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[[[],[],[],[],[],[[]]],[]]=>[[],[[[]],[],[],[],[],[]]] [[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>[[],[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]],[]]
Map
right rotate
Description
Return the result of right rotation applied to a binary tree.
Right rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the left child of the root of $T$ is a node. Let $C$ be the right child of the root of $T$, and let $A$ and $B$ be the left and right children of the left child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the right rotation of $T$ is the binary tree in which the left child of the root is $A$, whereas the right child of the root is a node whose left and right children are $B$ and $C$.
Map
to ordered tree: right child = right brother
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 $y$.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.