Identifier
Mp00328: Ordered trees —DeBruijn-Morselt plane tree automorphism⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00049: Ordered trees —to binary tree: left brother = left child⟶ Binary trees
Images
=>
Cc0021;cc-rep-0Cc0021;cc-rep-1Cc0021;cc-rep-2Cc0010;cc-rep-3
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[[[[]]],[[],[[]]]]=>[[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[]]=>[[[.,[[.,.],[[.,.],.]]],.],.] [[[[]]],[[[]],[]]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]=>[[[.,[[[.,.],[.,.]],.]],.],.] [[[[]]],[[[],[]]]]=>[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]=>[[[.,[[[.,.],.],[.,.]]],.],.] [[[[]]],[[[[]]]]]=>[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]=>[[[.,[[[[.,.],.],.],.]],.],.] [[[],[],[]],[],[],[]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [[[],[[]]],[],[],[]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [[[[]],[]],[],[],[]]=>[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.] [[[[],[]]],[],[],[]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]=>[[[.,[.,[.,[.,.]]]],.],[.,.]] [[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]=>[[[[.,[.,[.,[.,.]]]],.],.],.] [[[],[],[]],[],[[]]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]=>[[.,[.,[[.,.],.]]],[.,[.,.]]] [[[],[[]]],[],[[]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]=>[[.,[.,[[.,.],.]]],[[.,.],.]] [[[[]],[]],[],[[]]]=>[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]=>[[[.,[.,[[.,.],.]]],[.,.]],.] [[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]=>[[[.,[.,[[.,.],.]]],.],[.,.]] [[[[[]]]],[],[[]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]=>[[[[.,[.,[[.,.],.]]],.],.],.] [[[],[],[]],[[]],[]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]=>[[.,[[.,[.,.]],.]],[.,[.,.]]] [[[],[[]]],[[]],[]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]=>[[.,[[.,[.,.]],.]],[[.,.],.]] [[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]=>[[[.,[[.,[.,.]],.]],[.,.]],.] [[[[],[]]],[[]],[]]=>[[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]]]=>[[[.,[[.,[.,.]],.]],.],[.,.]] [[[[[]]]],[[]],[]]=>[[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[]]=>[[[[.,[[.,[.,.]],.]],.],.],.] [[[],[],[]],[[],[]]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]=>[[.,[[.,.],[.,.]]],[.,[.,.]]] [[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]=>[[.,[[[.,.],.],.]],[.,[.,.]]] [[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]=>[[.,[[.,.],[.,.]]],[[.,.],.]] [[[],[[]]],[[[]]]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]=>[[.,[[[.,.],.],.]],[[.,.],.]] [[[[]],[]],[[],[]]]=>[[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[]]=>[[[.,[[.,.],[.,.]]],[.,.]],.] [[[[]],[]],[[[]]]]=>[[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[]]=>[[[.,[[[.,.],.],.]],[.,.]],.] [[[[],[]]],[[],[]]]=>[[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]]]=>[[[.,[[.,.],[.,.]]],.],[.,.]] [[[[],[]]],[[[]]]]=>[[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]]]=>[[[.,[[[.,.],.],.]],.],[.,.]] [[[[[]]]],[[],[]]]=>[[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[]]=>[[[[.,[[.,.],[.,.]]],.],.],.] [[[[[]]]],[[[]]]]=>[[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[]]=>[[[[.,[[[.,.],.],.]],.],.],.] [[[],[],[],[]],[],[]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [[[],[],[[]]],[],[]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [[[],[[]],[]],[],[]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]=>[[.,[.,[.,.]]],[[.,[.,.]],.]] [[[],[[],[]]],[],[]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [[[],[[[]]]],[],[]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]=>[[.,[.,[.,.]]],[[[.,.],.],.]] [[[[]],[],[]],[],[]]=>[[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[]]=>[[[.,[.,[.,.]]],[.,[.,.]]],.] [[[[]],[[]]],[],[]]=>[[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[]]=>[[[.,[.,[.,.]]],[[.,.],.]],.] [[[[],[]],[]],[],[]]=>[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]] [[[[[]]],[]],[],[]]=>[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]=>[[[[.,[.,[.,.]]],[.,.]],.],.] [[[[],[],[]]],[],[]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]=>[[[.,[.,[.,.]]],.],[.,[.,.]]] [[[[],[[]]]],[],[]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]] [[[[[]],[]]],[],[]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]=>[[[[.,[.,[.,.]]],.],[.,.]],.] [[[[[],[]]]],[],[]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]=>[[[[.,[.,[.,.]]],.],.],[.,.]] [[[[[[]]]]],[],[]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]=>[[[[[.,[.,[.,.]]],.],.],.],.] [[[],[],[],[]],[[]]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]=>[[.,[[.,.],.]],[.,[.,[.,.]]]] [[[],[],[[]]],[[]]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]=>[[.,[[.,.],.]],[.,[[.,.],.]]] [[[],[[]],[]],[[]]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]=>[[.,[[.,.],.]],[[.,[.,.]],.]] [[[],[[],[]]],[[]]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]=>[[.,[[.,.],.]],[[.,.],[.,.]]] [[[],[[[]]]],[[]]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]=>[[.,[[.,.],.]],[[[.,.],.],.]] [[[[]],[],[]],[[]]]=>[[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[]]=>[[[.,[[.,.],.]],[.,[.,.]]],.] [[[[]],[[]]],[[]]]=>[[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[]]=>[[[.,[[.,.],.]],[[.,.],.]],.] [[[[],[]],[]],[[]]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]=>[[[.,[[.,.],.]],[.,.]],[.,.]] [[[[[]]],[]],[[]]]=>[[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[]]=>[[[[.,[[.,.],.]],[.,.]],.],.] [[[[],[],[]]],[[]]]=>[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]=>[[[.,[[.,.],.]],.],[.,[.,.]]] [[[[],[[]]]],[[]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]=>[[[.,[[.,.],.]],.],[[.,.],.]] [[[[[]],[]]],[[]]]=>[[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[]]=>[[[[.,[[.,.],.]],.],[.,.]],.] [[[[[],[]]]],[[]]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]=>[[[[.,[[.,.],.]],.],.],[.,.]] [[[[[[]]]]],[[]]]=>[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]=>[[[[[.,[[.,.],.]],.],.],.],.] [[[],[],[],[],[]],[]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [[[],[],[],[[]]],[]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [[[],[],[[]],[]],[]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [[[],[],[[],[]]],[]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [[[],[],[[[]]]],[]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]=>[[.,[.,.]],[.,[[[.,.],.],.]]] [[[],[[]],[],[]],[]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]=>[[.,[.,.]],[[.,[.,[.,.]]],.]] [[[],[[]],[[]]],[]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]=>[[.,[.,.]],[[.,[[.,.],.]],.]] [[[],[[],[]],[]],[]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [[[],[[[]]],[]],[]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]=>[[.,[.,.]],[[[.,[.,.]],.],.]] [[[],[[],[],[]]],[]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [[[],[[],[[]]]],[]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [[[],[[[]],[]]],[]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]=>[[.,[.,.]],[[[.,.],[.,.]],.]] [[[],[[[],[]]]],[]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]=>[[.,[.,.]],[[[.,.],.],[.,.]]] 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[[[[],[],[]],[]],[]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [[[[],[[]]],[]],[]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]=>[[[.,[.,.]],[.,.]],[[.,.],.]] [[[[[]],[]],[]],[]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]=>[[[[.,[.,.]],[.,.]],[.,.]],.] [[[[[],[]]],[]],[]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]=>[[[[.,[.,.]],[.,.]],.],[.,.]] [[[[[[]]]],[]],[]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]=>[[[[[.,[.,.]],[.,.]],.],.],.] [[[[],[],[],[]]],[]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [[[[],[],[[]]]],[]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [[[[],[[]],[]]],[]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]=>[[[.,[.,.]],.],[[.,[.,.]],.]] [[[[],[[],[]]]],[]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [[[[],[[[]]]]],[]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]=>[[[.,[.,.]],.],[[[.,.],.],.]] 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[[[],[],[],[],[[]]]]=>[[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]]]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [[[],[],[],[[]],[]]]=>[[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]]]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [[[],[],[],[[],[]]]]=>[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [[[],[],[],[[[]]]]]=>[[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]]]=>[[.,.],[.,[.,[[[.,.],.],.]]]] [[[],[],[[]],[],[]]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [[[],[],[[]],[[]]]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]=>[[.,.],[.,[[.,[[.,.],.]],.]]] [[[],[],[[],[]],[]]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [[[],[],[[[]]],[]]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]=>[[.,.],[.,[[[.,[.,.]],.],.]]] [[[],[],[[],[],[]]]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [[[],[],[[],[[]]]]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]=>[[.,.],[.,[[.,.],[[.,.],.]]]] 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[[[[]],[[],[],[]]]]=>[[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[]]=>[[[.,.],[[.,.],[.,[.,.]]]],.] [[[[]],[[],[[]]]]]=>[[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[]]=>[[[.,.],[[.,.],[[.,.],.]]],.] [[[[]],[[[]],[]]]]=>[[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[]]=>[[[.,.],[[[.,.],[.,.]],.]],.] [[[[]],[[[],[]]]]]=>[[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[]]=>[[[.,.],[[[.,.],.],[.,.]]],.] [[[[]],[[[[]]]]]]=>[[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[]]=>[[[.,.],[[[[.,.],.],.],.]],.] [[[[],[]],[],[],[]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]] [[[[[]]],[],[],[]]]=>[[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[]]=>[[[[.,.],[.,[.,[.,.]]]],.],.] [[[[],[]],[],[[]]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]=>[[[.,.],[.,[[.,.],.]]],[.,.]] [[[[[]]],[],[[]]]]=>[[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[]]=>[[[[.,.],[.,[[.,.],.]]],.],.] [[[[],[]],[[]],[]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]=>[[[.,.],[[.,[.,.]],.]],[.,.]] 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[[[[],[],[]],[[]]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [[[[],[[]]],[[]]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]=>[[[.,.],[[.,.],.]],[[.,.],.]] [[[[[]],[]],[[]]]]=>[[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[]]=>[[[[.,.],[[.,.],.]],[.,.]],.] [[[[[],[]]],[[]]]]=>[[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]]]=>[[[[.,.],[[.,.],.]],.],[.,.]] [[[[[[]]]],[[]]]]=>[[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[]]=>[[[[[.,.],[[.,.],.]],.],.],.] [[[[],[],[],[]],[]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [[[[],[],[[]]],[]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [[[[],[[]],[]],[]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]] [[[[],[[],[]]],[]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [[[[],[[[]]]],[]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]=>[[[.,.],[.,.]],[[[.,.],.],.]] [[[[[]],[],[]],[]]]=>[[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[]]=>[[[[.,.],[.,.]],[.,[.,.]]],.] [[[[[]],[[]]],[]]]=>[[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[]]=>[[[[.,.],[.,.]],[[.,.],.]],.] [[[[[],[]],[]],[]]]=>[[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]] [[[[[[]]],[]],[]]]=>[[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[]]=>[[[[[.,.],[.,.]],[.,.]],.],.] [[[[[],[],[]]],[]]]=>[[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]]]=>[[[[.,.],[.,.]],.],[.,[.,.]]] [[[[[],[[]]]],[]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]=>[[[[.,.],[.,.]],.],[[.,.],.]] [[[[[[]],[]]],[]]]=>[[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[]]=>[[[[[.,.],[.,.]],.],[.,.]],.] [[[[[[],[]]]],[]]]=>[[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]]]=>[[[[[.,.],[.,.]],.],.],[.,.]] [[[[[[[]]]]],[]]]=>[[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[]]=>[[[[[[.,.],[.,.]],.],.],.],.] [[[[],[],[],[],[]]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [[[[],[],[],[[]]]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]] [[[[],[],[[]],[]]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]=>[[[.,.],.],[.,[[.,[.,.]],.]]] [[[[],[],[[],[]]]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [[[[],[],[[[]]]]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]=>[[[.,.],.],[.,[[[.,.],.],.]]] [[[[],[[]],[],[]]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]=>[[[.,.],.],[[.,[.,[.,.]]],.]] [[[[],[[]],[[]]]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]=>[[[.,.],.],[[.,[[.,.],.]],.]] [[[[],[[],[]],[]]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [[[[],[[[]]],[]]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]=>[[[.,.],.],[[[.,[.,.]],.],.]] [[[[],[[],[],[]]]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [[[[],[[],[[]]]]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]=>[[[.,.],.],[[.,.],[[.,.],.]]] [[[[],[[[]],[]]]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]=>[[[.,.],.],[[[.,.],[.,.]],.]] [[[[],[[[],[]]]]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]=>[[[.,.],.],[[[.,.],.],[.,.]]] [[[[],[[[[]]]]]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]=>[[[.,.],.],[[[[.,.],.],.],.]] [[[[[]],[],[],[]]]]=>[[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[]]=>[[[[.,.],.],[.,[.,[.,.]]]],.] [[[[[]],[],[[]]]]]=>[[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[]]=>[[[[.,.],.],[.,[[.,.],.]]],.] [[[[[]],[[]],[]]]]=>[[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[]]=>[[[[.,.],.],[[.,[.,.]],.]],.] [[[[[]],[[],[]]]]]=>[[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[]]=>[[[[.,.],.],[[.,.],[.,.]]],.] [[[[[]],[[[]]]]]]=>[[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[]]=>[[[[.,.],.],[[[.,.],.],.]],.] [[[[[],[]],[],[]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]] [[[[[[]]],[],[]]]]=>[[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[]]=>[[[[[.,.],.],[.,[.,.]]],.],.] [[[[[],[]],[[]]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]=>[[[[.,.],.],[[.,.],.]],[.,.]] [[[[[[]]],[[]]]]]=>[[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[]]=>[[[[[.,.],.],[[.,.],.]],.],.] [[[[[],[],[]],[]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]] [[[[[],[[]]],[]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]=>[[[[.,.],.],[.,.]],[[.,.],.]] [[[[[[]],[]],[]]]]=>[[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[]]=>[[[[[.,.],.],[.,.]],[.,.]],.] [[[[[[],[]]],[]]]]=>[[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]]]=>[[[[[.,.],.],[.,.]],.],[.,.]] [[[[[[[]]]],[]]]]=>[[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[]]=>[[[[[[.,.],.],[.,.]],.],.],.] [[[[[],[],[],[]]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]=>[[[[.,.],.],.],[.,[.,[.,.]]]] [[[[[],[],[[]]]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]=>[[[[.,.],.],.],[.,[[.,.],.]]] [[[[[],[[]],[]]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]=>[[[[.,.],.],.],[[.,[.,.]],.]] 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[[[],[[],[]]],[[]],[]]=>[[[[]],[]],[[],[[]]]]=>[[[[]],[]],[[],[[]]]]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] [[[],[[[]]]],[[]],[]]=>[[[],[],[]],[[],[[]]]]=>[[[[]],[]],[[],[],[]]]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]] [[[[]],[],[]],[[]],[]]=>[[],[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]],[]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] [[[[]],[[]]],[[]],[]]=>[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.] [[[[],[]],[]],[[]],[]]=>[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] [[[[[]]],[]],[[]],[]]=>[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.] [[[[],[],[]]],[[]],[]]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] [[[[],[[]]]],[[]],[]]=>[[[],[]],[],[[],[[]]]]=>[[[[]],[]],[],[[],[]]]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]] [[[[[]],[]]],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.] [[[[[],[]]]],[[]],[]]=>[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]] [[[[[[]]]]],[[]],[]]=>[[],[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[],[]]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.] [[[],[],[],[]],[[],[]]]=>[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] [[[],[],[],[]],[[[]]]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] [[[],[],[[]]],[[],[]]]=>[[[[],[]]],[[[]],[]]]=>[[[],[[]]],[[[],[]]]]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] [[[],[],[[]]],[[[]]]]=>[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]] [[[],[[]],[]],[[],[]]]=>[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] [[[],[[]],[]],[[[]]]]=>[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]] [[[],[[],[]]],[[],[]]]=>[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] [[[],[[],[]]],[[[]]]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]] [[[],[[[]]]],[[],[]]]=>[[[],[],[]],[[[]],[]]]=>[[[],[[]]],[[],[],[]]]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]] [[[],[[[]]]],[[[]]]]=>[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]] [[[[]],[],[]],[[],[]]]=>[[],[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]],[]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] [[[[]],[],[]],[[[]]]]=>[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.] [[[[]],[[]]],[[],[]]]=>[[],[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]],[]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.] [[[[]],[[]]],[[[]]]]=>[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.] [[[[],[]],[]],[[],[]]]=>[[[]],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[[]]]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] [[[[],[]],[]],[[[]]]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]] [[[[[]]],[]],[[],[]]]=>[[],[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[],[]]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.] [[[[[]]],[]],[[[]]]]=>[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.] [[[[],[],[]]],[[],[]]]=>[[[[]]],[],[[[]],[]]]=>[[[],[[]]],[],[[[]]]]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] [[[[],[],[]]],[[[]]]]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]] [[[[],[[]]]],[[],[]]]=>[[[],[]],[],[[[]],[]]]=>[[[],[[]]],[],[[],[]]]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]] [[[[],[[]]]],[[[]]]]=>[[[],[]],[],[[],[],[]]]=>[[[],[],[]],[],[[],[]]]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]] [[[[[]],[]]],[[],[]]]=>[[],[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]],[]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.] [[[[[]],[]]],[[[]]]]=>[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.] [[[[[],[]]]],[[],[]]]=>[[[]],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[[]]]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]] [[[[[],[]]]],[[[]]]]=>[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]] [[[[[[]]]]],[[],[]]]=>[[],[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[],[]]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.] [[[[[[]]]]],[[[]]]]=>[[],[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[],[]]=>[[[[[.,[[[.,.],.],.]],.],.],.],.] [[[],[],[],[],[]],[],[]]=>[[[[[[]]]]],[[[]]]]=>[[[[]]],[[[[[]]]]]]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [[[],[],[],[[]]],[],[]]=>[[[[[],[]]]],[[[]]]]=>[[[[]]],[[[[],[]]]]]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [[[],[],[[]],[]],[],[]]=>[[[[],[[]]]],[[[]]]]=>[[[[]]],[[[[]],[]]]]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [[[],[],[[],[]]],[],[]]=>[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [[[],[],[[[]]]],[],[]]=>[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] [[[],[[]],[],[]],[],[]]=>[[[],[[[]]]],[[[]]]]=>[[[[]]],[[[[]]],[]]]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] [[[],[[]],[[]]],[],[]]=>[[[],[[],[]]],[[[]]]]=>[[[[]]],[[[],[]],[]]]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] [[[],[[],[]],[]],[],[]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [[[],[[[]]],[]],[],[]]=>[[[],[],[[]]],[[[]]]]=>[[[[]]],[[[]],[],[]]]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] [[[],[[],[],[]]],[],[]]=>[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [[[],[[],[[]]]],[],[]]=>[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [[[],[[[]],[]]],[],[]]=>[[[],[[]],[]],[[[]]]]=>[[[[]]],[[],[[]],[]]]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] [[[],[[[],[]]]],[],[]]=>[[[[]],[],[]],[[[]]]]=>[[[[]]],[[],[],[[]]]]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] [[[],[[[[]]]]],[],[]]=>[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]] [[[[]],[],[],[]],[],[]]=>[[],[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]],[]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] [[[[]],[],[[]]],[],[]]=>[[],[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]],[]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] [[[[]],[[]],[]],[],[]]=>[[],[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]],[]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] [[[[]],[[],[]]],[],[]]=>[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] [[[[]],[[[]]]],[],[]]=>[[],[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]],[]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.] [[[[],[]],[],[]],[],[]]=>[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] [[[[[]]],[],[]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[],[]]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] [[[[],[]],[[]]],[],[]]=>[[[]],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[[]]]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] [[[[[]]],[[]]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[],[]]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.] [[[[],[],[]],[]],[],[]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] [[[[],[[]]],[]],[],[]]=>[[[],[]],[[]],[[[]]]]=>[[[[]]],[[]],[[],[]]]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] [[[[[]],[]],[]],[],[]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] [[[[[],[]]],[]],[],[]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] [[[[[[]]]],[]],[],[]]=>[[],[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[],[]]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.] [[[[],[],[],[]]],[],[]]=>[[[[[]]]],[],[[[]]]]=>[[[[]]],[],[[[[]]]]]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] [[[[],[],[[]]]],[],[]]=>[[[[],[]]],[],[[[]]]]=>[[[[]]],[],[[[],[]]]]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] [[[[],[[]],[]]],[],[]]=>[[[],[[]]],[],[[[]]]]=>[[[[]]],[],[[[]],[]]]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] [[[[],[[],[]]]],[],[]]=>[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] [[[[],[[[]]]]],[],[]]=>[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]] [[[[[]],[],[]]],[],[]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] [[[[[]],[[]]]],[],[]]=>[[],[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]],[]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.] [[[[[],[]],[]]],[],[]]=>[[[]],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[[]]]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] [[[[[[]]],[]]],[],[]]=>[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.] [[[[[],[],[]]]],[],[]]=>[[[[]]],[],[],[[[]]]]=>[[[[]]],[],[],[[[]]]]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] [[[[[],[[]]]]],[],[]]=>[[[],[]],[],[],[[[]]]]=>[[[[]]],[],[],[[],[]]]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]] [[[[[[]],[]]]],[],[]]=>[[],[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]],[]]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.] [[[[[[],[]]]]],[],[]]=>[[[]],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[[]]]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]] [[[[[[[]]]]]],[],[]]=>[[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[]]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.] [[[],[],[],[],[]],[[]]]=>[[[[[[]]]]],[[],[]]]=>[[[],[]],[[[[[]]]]]]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] [[[],[],[],[[]]],[[]]]=>[[[[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]]]]]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] [[[],[],[[]],[]],[[]]]=>[[[[],[[]]]],[[],[]]]=>[[[],[]],[[[[]],[]]]]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] [[[],[],[[],[]]],[[]]]=>[[[[[]],[]]],[[],[]]]=>[[[],[]],[[[],[[]]]]]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] [[[],[],[[[]]]],[[]]]=>[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]] [[[],[[]],[],[]],[[]]]=>[[[],[[[]]]],[[],[]]]=>[[[],[]],[[[[]]],[]]]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] [[[],[[]],[[]]],[[]]]=>[[[],[[],[]]],[[],[]]]=>[[[],[]],[[[],[]],[]]]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]] [[[],[[],[]],[]],[[]]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] [[[],[[[]]],[]],[[]]]=>[[[],[],[[]]],[[],[]]]=>[[[],[]],[[[]],[],[]]]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]] [[[],[[],[],[]]],[[]]]=>[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] [[[],[[],[[]]]],[[]]]=>[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]] [[[],[[[]],[]]],[[]]]=>[[[],[[]],[]],[[],[]]]=>[[[],[]],[[],[[]],[]]]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]] [[[],[[[],[]]]],[[]]]=>[[[[]],[],[]],[[],[]]]=>[[[],[]],[[],[],[[]]]]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]] [[[],[[[[]]]]],[[]]]=>[[[],[],[],[]],[[],[]]]=>[[[],[]],[[],[],[],[]]]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]] [[[[]],[],[],[]],[[]]]=>[[],[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]],[]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] [[[[]],[],[[]]],[[]]]=>[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.] [[[[]],[[]],[]],[[]]]=>[[],[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]],[]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.] [[[[]],[[],[]]],[[]]]=>[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.] [[[[]],[[[]]]],[[]]]=>[[],[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]],[]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.] [[[[],[]],[],[]],[[]]]=>[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] [[[[[]]],[],[]],[[]]]=>[[],[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[],[]]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.] [[[[],[]],[[]]],[[]]]=>[[[]],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[[]]]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]] [[[[[]]],[[]]],[[]]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.] [[[[],[],[]],[]],[[]]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] [[[[],[[]]],[]],[[]]]=>[[[],[]],[[]],[[],[]]]=>[[[],[]],[[]],[[],[]]]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]] [[[[[]],[]],[]],[[]]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.] [[[[[],[]]],[]],[[]]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]] [[[[[[]]]],[]],[[]]]=>[[],[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[],[]]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.] [[[[],[],[],[]]],[[]]]=>[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] [[[[],[],[[]]]],[[]]]=>[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]] [[[[],[[]],[]]],[[]]]=>[[[],[[]]],[],[[],[]]]=>[[[],[]],[],[[[]],[]]]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]] [[[[],[[],[]]]],[[]]]=>[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]] [[[[],[[[]]]]],[[]]]=>[[[],[],[]],[],[[],[]]]=>[[[],[]],[],[[],[],[]]]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]] [[[[[]],[],[]]],[[]]]=>[[],[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]],[]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.] [[[[[]],[[]]]],[[]]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.] [[[[[],[]],[]]],[[]]]=>[[[]],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[[]]]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]] [[[[[[]]],[]]],[[]]]=>[[],[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[],[]]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.] [[[[[],[],[]]]],[[]]]=>[[[[]]],[],[],[[],[]]]=>[[[],[]],[],[],[[[]]]]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]] [[[[[],[[]]]]],[[]]]=>[[[],[]],[],[],[[],[]]]=>[[[],[]],[],[],[[],[]]]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]] [[[[[[]],[]]]],[[]]]=>[[],[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]],[]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.] [[[[[[],[]]]]],[[]]]=>[[[]],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[[]]]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]] [[[[[[[]]]]]],[[]]]=>[[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[]]=>[[[[[[.,[[.,.],.]],.],.],.],.],.] [[[],[],[],[],[],[]],[]]=>[[[[[[[]]]]]],[[]]]=>[[[]],[[[[[[]]]]]]]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [[[],[],[],[],[[]]],[]]=>[[[[[[],[]]]]],[[]]]=>[[[]],[[[[[],[]]]]]]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [[[],[],[],[[]],[]],[]]=>[[[[[],[[]]]]],[[]]]=>[[[]],[[[[[]],[]]]]]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [[[],[],[],[[],[]]],[]]=>[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [[[],[],[],[[[]]]],[]]=>[[[[[],[],[]]]],[[]]]=>[[[]],[[[[],[],[]]]]]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [[[],[],[[]],[],[]],[]]=>[[[[],[[[]]]]],[[]]]=>[[[]],[[[[[]]],[]]]]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [[[],[],[[]],[[]]],[]]=>[[[[],[[],[]]]],[[]]]=>[[[]],[[[[],[]],[]]]]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] [[[],[],[[],[]],[]],[]]=>[[[[[]],[[]]]],[[]]]=>[[[]],[[[[]],[[]]]]]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [[[],[],[[[]]],[]],[]]=>[[[[],[],[[]]]],[[]]]=>[[[]],[[[[]],[],[]]]]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] [[[],[],[[],[],[]]],[]]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [[[],[],[[],[[]]]],[]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [[[],[],[[[]],[]]],[]]=>[[[[],[[]],[]]],[[]]]=>[[[]],[[[],[[]],[]]]]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] [[[],[],[[[],[]]]],[]]=>[[[[[]],[],[]]],[[]]]=>[[[]],[[[],[],[[]]]]]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [[[],[],[[[[]]]]],[]]=>[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]] [[[],[[]],[],[],[]],[]]=>[[[],[[[[]]]]],[[]]]=>[[[]],[[[[[]]]],[]]]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [[[],[[]],[],[[]]],[]]=>[[[],[[[],[]]]],[[]]]=>[[[]],[[[[],[]]],[]]]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] [[[],[[]],[[]],[]],[]]=>[[[],[[],[[]]]],[[]]]=>[[[]],[[[[]],[]],[]]]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] [[[],[[]],[[],[]]],[]]=>[[[],[[[]],[]]],[[]]]=>[[[]],[[[],[[]]],[]]]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] [[[],[[]],[[[]]]],[]]=>[[[],[[],[],[]]],[[]]]=>[[[]],[[[],[],[]],[]]]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]] [[[],[[],[]],[],[]],[]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [[[],[[[]]],[],[]],[]]=>[[[],[],[[[]]]],[[]]]=>[[[]],[[[[]]],[],[]]]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] [[[],[[],[]],[[]]],[]]=>[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] [[[],[[[]]],[[]]],[]]=>[[[],[],[[],[]]],[[]]]=>[[[]],[[[],[]],[],[]]]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]] [[[],[[],[],[]],[]],[]]=>[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [[[],[[],[[]]],[]],[]]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [[[],[[[]],[]],[]],[]]=>[[[],[[]],[[]]],[[]]]=>[[[]],[[[]],[[]],[]]]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] [[[],[[[],[]]],[]],[]]=>[[[[]],[],[[]]],[[]]]=>[[[]],[[[]],[],[[]]]]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] [[[],[[[[]]]],[]],[]]=>[[[],[],[],[[]]],[[]]]=>[[[]],[[[]],[],[],[]]]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]] [[[],[[],[],[],[]]],[]]=>[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [[[],[[],[],[[]]]],[]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [[[],[[],[[]],[]]],[]]=>[[[[],[[]]],[]],[[]]]=>[[[]],[[],[[[]],[]]]]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [[[],[[],[[],[]]]],[]]=>[[[[[]],[]],[]],[[]]]=>[[[]],[[],[[],[[]]]]]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [[[],[[],[[[]]]]],[]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]] [[[],[[[]],[],[]]],[]]=>[[[],[[[]]],[]],[[]]]=>[[[]],[[],[[[]]],[]]]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] [[[],[[[]],[[]]]],[]]=>[[[],[[],[]],[]],[[]]]=>[[[]],[[],[[],[]],[]]]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]] [[[],[[[],[]],[]]],[]]=>[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [[[],[[[[]]],[]]],[]]=>[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]] [[[],[[[],[],[]]]],[]]=>[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] [[[],[[[],[[]]]]],[]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]] [[[],[[[[]],[]]]],[]]=>[[[],[[]],[],[]],[[]]]=>[[[]],[[],[],[[]],[]]]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]] [[[],[[[[],[]]]]],[]]=>[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]] [[[],[[[[[]]]]]],[]]=>[[[],[],[],[],[]],[[]]]=>[[[]],[[],[],[],[],[]]]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]] [[[[]],[],[],[],[]],[]]=>[[],[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]],[]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] [[[[]],[],[],[[]]],[]]=>[[],[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]],[]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] [[[[]],[],[[]],[]],[]]=>[[],[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]],[]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] [[[[]],[],[[],[]]],[]]=>[[],[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]],[]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] [[[[]],[],[[[]]]],[]]=>[[],[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]],[]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.] [[[[]],[[]],[],[]],[]]=>[[],[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]],[]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] [[[[]],[[]],[[]]],[]]=>[[],[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]],[]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.] [[[[]],[[],[]],[]],[]]=>[[],[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]],[]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] [[[[]],[[[]]],[]],[]]=>[[],[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]],[]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.] [[[[]],[[],[],[]]],[]]=>[[],[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]],[]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] [[[[]],[[],[[]]]],[]]=>[[],[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]],[]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.] [[[[]],[[[]],[]]],[]]=>[[],[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]],[]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.] [[[[]],[[[],[]]]],[]]=>[[],[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]],[]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.] [[[[]],[[[[]]]]],[]]=>[[],[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]],[]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.] [[[[],[]],[],[],[]],[]]=>[[[]],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[[]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [[[[[]]],[],[],[]],[]]=>[[],[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[],[]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] [[[[],[]],[],[[]]],[]]=>[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] [[[[[]]],[],[[]]],[]]=>[[],[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[],[]]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.] [[[[],[]],[[]],[]],[]]=>[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] [[[[[]]],[[]],[]],[]]=>[[],[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[],[]]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.] [[[[],[]],[[],[]]],[]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] [[[[],[]],[[[]]]],[]]=>[[[]],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[[]]]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]] [[[[[]]],[[],[]]],[]]=>[[],[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[],[]]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.] [[[[[]]],[[[]]]],[]]=>[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.] [[[[],[],[]],[],[]],[]]=>[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [[[[],[[]]],[],[]],[]]=>[[[],[]],[[[]]],[[]]]=>[[[]],[[[]]],[[],[]]]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [[[[[]],[]],[],[]],[]]=>[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] [[[[[],[]]],[],[]],[]]=>[[[]],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[[]]]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] [[[[[[]]]],[],[]],[]]=>[[],[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[],[]]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.] [[[[],[],[]],[[]]],[]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [[[[],[[]]],[[]]],[]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]] [[[[[]],[]],[[]]],[]]=>[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.] [[[[[],[]]],[[]]],[]]=>[[[]],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[[]]]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]] [[[[[[]]]],[[]]],[]]=>[[],[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[],[]]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.] [[[[],[],[],[]],[]],[]]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [[[[],[],[[]]],[]],[]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [[[[],[[]],[]],[]],[]]=>[[[],[[]]],[[]],[[]]]=>[[[]],[[]],[[[]],[]]]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] [[[[],[[],[]]],[]],[]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [[[[],[[[]]]],[]],[]]=>[[[],[],[]],[[]],[[]]]=>[[[]],[[]],[[],[],[]]]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]] [[[[[]],[],[]],[]],[]]=>[[],[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]],[]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] [[[[[]],[[]]],[]],[]]=>[[],[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]],[]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.] [[[[[],[]],[]],[]],[]]=>[[[]],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[[]]]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] [[[[[[]]],[]],[]],[]]=>[[],[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[],[]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.] [[[[[],[],[]]],[]],[]]=>[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] [[[[[],[[]]]],[]],[]]=>[[[],[]],[],[[]],[[]]]=>[[[]],[[]],[],[[],[]]]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]] [[[[[[]],[]]],[]],[]]=>[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.] [[[[[[],[]]]],[]],[]]=>[[[]],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[[]]]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]] [[[[[[[]]]]],[]],[]]=>[[],[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[],[]]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.] [[[[],[],[],[],[]]],[]]=>[[[[[[]]]]],[],[[]]]=>[[[]],[],[[[[[]]]]]]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [[[[],[],[],[[]]]],[]]=>[[[[[],[]]]],[],[[]]]=>[[[]],[],[[[[],[]]]]]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [[[[],[],[[]],[]]],[]]=>[[[[],[[]]]],[],[[]]]=>[[[]],[],[[[[]],[]]]]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] [[[[],[],[[],[]]]],[]]=>[[[[[]],[]]],[],[[]]]=>[[[]],[],[[[],[[]]]]]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [[[[],[],[[[]]]]],[]]=>[[[[],[],[]]],[],[[]]]=>[[[]],[],[[[],[],[]]]]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]] [[[[],[[]],[],[]]],[]]=>[[[],[[[]]]],[],[[]]]=>[[[]],[],[[[[]]],[]]]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] [[[[],[[]],[[]]]],[]]=>[[[],[[],[]]],[],[[]]]=>[[[]],[],[[[],[]],[]]]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]] [[[[],[[],[]],[]]],[]]=>[[[[]],[[]]],[],[[]]]=>[[[]],[],[[[]],[[]]]]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] [[[[],[[[]]],[]]],[]]=>[[[],[],[[]]],[],[[]]]=>[[[]],[],[[[]],[],[]]]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]] [[[[],[[],[],[]]]],[]]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [[[[],[[],[[]]]]],[]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [[[[],[[[]],[]]]],[]]=>[[[],[[]],[]],[],[[]]]=>[[[]],[],[[],[[]],[]]]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]] [[[[],[[[],[]]]]],[]]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]] [[[[],[[[[]]]]]],[]]=>[[[],[],[],[]],[],[[]]]=>[[[]],[],[[],[],[],[]]]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]] [[[[[]],[],[],[]]],[]]=>[[],[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]],[]]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] [[[[[]],[],[[]]]],[]]=>[[],[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]],[]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.] [[[[[]],[[]],[]]],[]]=>[[],[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]],[]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.] [[[[[]],[[],[]]]],[]]=>[[],[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]],[]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.] [[[[[]],[[[]]]]],[]]=>[[],[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]],[]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.] [[[[[],[]],[],[]]],[]]=>[[[]],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[[]]]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] [[[[[[]]],[],[]]],[]]=>[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.] [[[[[],[]],[[]]]],[]]=>[[[]],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[[]]]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]] [[[[[[]]],[[]]]],[]]=>[[],[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[],[]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.] [[[[[],[],[]],[]]],[]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [[[[[],[[]]],[]]],[]]=>[[[],[]],[[]],[],[[]]]=>[[[]],[],[[]],[[],[]]]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]] [[[[[[]],[]],[]]],[]]=>[[],[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]],[]]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.] [[[[[[],[]]],[]]],[]]=>[[[]],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[[]]]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]] [[[[[[[]]]],[]]],[]]=>[[],[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[],[]]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.] [[[[[],[],[],[]]]],[]]=>[[[[[]]]],[],[],[[]]]=>[[[]],[],[],[[[[]]]]]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [[[[[],[],[[]]]]],[]]=>[[[[],[]]],[],[],[[]]]=>[[[]],[],[],[[[],[]]]]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]] [[[[[],[[]],[]]]],[]]=>[[[],[[]]],[],[],[[]]]=>[[[]],[],[],[[[]],[]]]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]] [[[[[],[[],[]]]]],[]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]] [[[[[],[[[]]]]]],[]]=>[[[],[],[]],[],[],[[]]]=>[[[]],[],[],[[],[],[]]]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]] [[[[[[]],[],[]]]],[]]=>[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.] [[[[[[]],[[]]]]],[]]=>[[],[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]],[]]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.] [[[[[[],[]],[]]]],[]]=>[[[]],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[[]]]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]] [[[[[[[]]],[]]]],[]]=>[[],[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[],[]]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.] [[[[[[],[],[]]]]],[]]=>[[[[]]],[],[],[],[[]]]=>[[[]],[],[],[],[[[]]]]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]] [[[[[[],[[]]]]]],[]]=>[[[],[]],[],[],[],[[]]]=>[[[]],[],[],[],[[],[]]]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]] [[[[[[[]],[]]]]],[]]=>[[],[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]],[]]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.] [[[[[[[],[]]]]]],[]]=>[[[]],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[[]]]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]] [[[[[[[[]]]]]]],[]]=>[[],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[]]=>[[[[[[[.,[.,.]],.],.],.],.],.],.] [[[],[],[],[],[],[],[]]]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [[[],[],[],[],[],[[]]]]=>[[[[[[[],[]]]]]],[]]=>[[],[[[[[[],[]]]]]]]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [[[],[],[],[],[[]],[]]]=>[[[[[[],[[]]]]]],[]]=>[[],[[[[[[]],[]]]]]]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [[[],[],[],[],[[],[]]]]=>[[[[[[[]],[]]]]],[]]=>[[],[[[[[],[[]]]]]]]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [[[],[],[],[],[[[]]]]]=>[[[[[[],[],[]]]]],[]]=>[[],[[[[[],[],[]]]]]]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [[[],[],[],[[]],[],[]]]=>[[[[[],[[[]]]]]],[]]=>[[],[[[[[[]]],[]]]]]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [[[],[],[],[[]],[[]]]]=>[[[[[],[[],[]]]]],[]]=>[[],[[[[[],[]],[]]]]]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] [[[],[],[],[[],[]],[]]]=>[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [[[],[],[],[[[]]],[]]]=>[[[[[],[],[[]]]]],[]]=>[[],[[[[[]],[],[]]]]]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] [[[],[],[],[[],[],[]]]]=>[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [[[],[],[],[[],[[]]]]]=>[[[[[[],[]],[]]]],[]]=>[[],[[[[],[[],[]]]]]]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [[[],[],[],[[[]],[]]]]=>[[[[[],[[]],[]]]],[]]=>[[],[[[[],[[]],[]]]]]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [[[],[],[],[[[],[]]]]]=>[[[[[[]],[],[]]]],[]]=>[[],[[[[],[],[[]]]]]]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [[[],[],[],[[[[]]]]]]=>[[[[[],[],[],[]]]],[]]=>[[],[[[[],[],[],[]]]]]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]] [[[],[],[[]],[],[],[]]]=>[[[[],[[[[]]]]]],[]]=>[[],[[[[[[]]]],[]]]]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [[[],[],[[]],[],[[]]]]=>[[[[],[[[],[]]]]],[]]=>[[],[[[[[],[]]],[]]]]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] [[[],[],[[]],[[]],[]]]=>[[[[],[[],[[]]]]],[]]=>[[],[[[[[]],[]],[]]]]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] [[[],[],[[]],[[],[]]]]=>[[[[],[[[]],[]]]],[]]=>[[],[[[[],[[]]],[]]]]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] [[[],[],[[]],[[[]]]]]=>[[[[],[[],[],[]]]],[]]=>[[],[[[[],[],[]],[]]]]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]] [[[],[],[[],[]],[],[]]]=>[[[[[]],[[[]]]]],[]]=>[[],[[[[[]]],[[]]]]]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [[[],[],[[[]]],[],[]]]=>[[[[],[],[[[]]]]],[]]=>[[],[[[[[]]],[],[]]]]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] [[[],[],[[],[]],[[]]]]=>[[[[[]],[[],[]]]],[]]=>[[],[[[[],[]],[[]]]]]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] [[[],[],[[[]]],[[]]]]=>[[[[],[],[[],[]]]],[]]=>[[],[[[[],[]],[],[]]]]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]] [[[],[],[[],[],[]],[]]]=>[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] 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[[[[]],[[]],[[[]]]]]=>[[],[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]],[]]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.] [[[[]],[[],[]],[],[]]]=>[[],[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]],[]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] [[[[]],[[[]]],[],[]]]=>[[],[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]],[]]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.] [[[[]],[[],[]],[[]]]]=>[[],[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]],[]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.] [[[[]],[[[]]],[[]]]]=>[[],[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]],[]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.] [[[[]],[[],[],[]],[]]]=>[[],[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]],[]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] [[[[]],[[],[[]]],[]]]=>[[],[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]],[]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.] [[[[]],[[[]],[]],[]]]=>[[],[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]],[]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.] [[[[]],[[[],[]]],[]]]=>[[],[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]],[]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.] [[[[]],[[[[]]]],[]]]=>[[],[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]],[]]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.] [[[[]],[[],[],[],[]]]]=>[[],[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]],[]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] [[[[]],[[],[],[[]]]]]=>[[],[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]],[]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.] [[[[]],[[],[[]],[]]]]=>[[],[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]],[]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.] [[[[]],[[],[[],[]]]]]=>[[],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.] [[[[]],[[],[[[]]]]]]=>[[],[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]],[]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.] [[[[]],[[[]],[],[]]]]=>[[],[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]],[]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.] [[[[]],[[[]],[[]]]]]=>[[],[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]],[]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.] [[[[]],[[[],[]],[]]]]=>[[],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.] [[[[]],[[[[]]],[]]]]=>[[],[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]],[]]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.] [[[[]],[[[],[],[]]]]]=>[[],[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]],[]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.] [[[[]],[[[],[[]]]]]]=>[[],[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]],[]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.] [[[[]],[[[[]],[]]]]]=>[[],[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]],[]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.] [[[[]],[[[[],[]]]]]]=>[[],[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]],[]]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.] [[[[]],[[[[[]]]]]]]=>[[],[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]],[]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.] [[[[],[]],[],[],[],[]]]=>[[[]],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[[]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [[[[[]]],[],[],[],[]]]=>[[],[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[],[]]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] [[[[],[]],[],[],[[]]]]=>[[[]],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[[]]]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] [[[[[]]],[],[],[[]]]]=>[[],[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[],[]]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.] [[[[],[]],[],[[]],[]]]=>[[[]],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[[]]]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] [[[[[]]],[],[[]],[]]]=>[[],[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[],[]]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.] [[[[],[]],[],[[],[]]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] [[[[],[]],[],[[[]]]]]=>[[[]],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[[]]]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]] [[[[[]]],[],[[],[]]]]=>[[],[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[],[]]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.] [[[[[]]],[],[[[]]]]]=>[[],[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[],[]]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.] [[[[],[]],[[]],[],[]]]=>[[[]],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[[]]]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] [[[[[]]],[[]],[],[]]]=>[[],[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[],[]]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.] [[[[],[]],[[]],[[]]]]=>[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]] [[[[[]]],[[]],[[]]]]=>[[],[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[],[]]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.] [[[[],[]],[[],[]],[]]]=>[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] [[[[],[]],[[[]]],[]]]=>[[[]],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[[]]]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]] [[[[[]]],[[],[]],[]]]=>[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.] [[[[[]]],[[[]]],[]]]=>[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.] [[[[],[]],[[],[],[]]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] [[[[],[]],[[],[[]]]]]=>[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]] [[[[],[]],[[[]],[]]]]=>[[[]],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[[]]]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]] [[[[],[]],[[[],[]]]]]=>[[[]],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[[]]]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]] [[[[],[]],[[[[]]]]]]=>[[[]],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[[]]]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]] [[[[[]]],[[],[],[]]]]=>[[],[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[],[]]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.] [[[[[]]],[[],[[]]]]]=>[[],[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[],[]]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.] [[[[[]]],[[[]],[]]]]=>[[],[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[],[]]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.] [[[[[]]],[[[],[]]]]]=>[[],[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[],[]]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.] [[[[[]]],[[[[]]]]]]=>[[],[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[],[]]=>[[[[.,.],[[[[.,.],.],.],.]],.],.] [[[[],[],[]],[],[],[]]]=>[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [[[[],[[]]],[],[],[]]]=>[[[],[]],[[[[]]]],[]]=>[[],[[[[]]]],[[],[]]]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [[[[[]],[]],[],[],[]]]=>[[],[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]],[]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] [[[[[],[]]],[],[],[]]]=>[[[]],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[[]]]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] [[[[[[]]]],[],[],[]]]=>[[],[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[],[]]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.] [[[[],[],[]],[],[[]]]]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] [[[[],[[]]],[],[[]]]]=>[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]] [[[[[]],[]],[],[[]]]]=>[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.] [[[[[],[]]],[],[[]]]]=>[[[]],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[[]]]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]] [[[[[[]]]],[],[[]]]]=>[[],[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[],[]]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.] [[[[],[],[]],[[]],[]]]=>[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] [[[[],[[]]],[[]],[]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]] [[[[[]],[]],[[]],[]]]=>[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.] [[[[[],[]]],[[]],[]]]=>[[[]],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[[]]]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]] [[[[[[]]]],[[]],[]]]=>[[],[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[],[]]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.] [[[[],[],[]],[[],[]]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [[[[],[],[]],[[[]]]]]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]] [[[[],[[]]],[[],[]]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]] [[[[],[[]]],[[[]]]]]=>[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]] [[[[[]],[]],[[],[]]]]=>[[],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.] [[[[[]],[]],[[[]]]]]=>[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.] [[[[[],[]]],[[],[]]]]=>[[[]],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[[]]]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]] [[[[[],[]]],[[[]]]]]=>[[[]],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[[]]]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]] [[[[[[]]]],[[],[]]]]=>[[],[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[],[]]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.] [[[[[[]]]],[[[]]]]]=>[[],[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[],[]]=>[[[[[.,.],[[[.,.],.],.]],.],.],.] [[[[],[],[],[]],[],[]]]=>[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [[[[],[],[[]]],[],[]]]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [[[[],[[]],[]],[],[]]]=>[[[],[[]]],[[[]]],[]]=>[[],[[[]]],[[[]],[]]]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] [[[[],[[],[]]],[],[]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [[[[],[[[]]]],[],[]]]=>[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]] [[[[[]],[],[]],[],[]]]=>[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] [[[[[]],[[]]],[],[]]]=>[[],[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]],[]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.] [[[[[],[]],[]],[],[]]]=>[[[]],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[[]]]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] [[[[[[]]],[]],[],[]]]=>[[],[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[],[]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.] [[[[[],[],[]]],[],[]]]=>[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] [[[[[],[[]]]],[],[]]]=>[[[],[]],[],[[[]]],[]]=>[[],[[[]]],[],[[],[]]]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]] [[[[[[]],[]]],[],[]]]=>[[],[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]],[]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.] [[[[[[],[]]]],[],[]]]=>[[[]],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[[]]]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]] [[[[[[[]]]]],[],[]]]=>[[],[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[],[]]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.] [[[[],[],[],[]],[[]]]]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [[[[],[],[[]]],[[]]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]] [[[[],[[]],[]],[[]]]]=>[[[],[[]]],[[],[]],[]]=>[[],[[],[]],[[[]],[]]]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]] [[[[],[[],[]]],[[]]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [[[[],[[[]]]],[[]]]]=>[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]] [[[[[]],[],[]],[[]]]]=>[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.] [[[[[]],[[]]],[[]]]]=>[[],[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]],[]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.] [[[[[],[]],[]],[[]]]]=>[[[]],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[[]]]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]] [[[[[[]]],[]],[[]]]]=>[[],[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[],[]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.] [[[[[],[],[]]],[[]]]]=>[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]] [[[[[],[[]]]],[[]]]]=>[[[],[]],[],[[],[]],[]]=>[[],[[],[]],[],[[],[]]]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]] [[[[[[]],[]]],[[]]]]=>[[],[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]],[]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.] [[[[[[],[]]]],[[]]]]=>[[[]],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[[]]]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]] [[[[[[[]]]]],[[]]]]=>[[],[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[],[]]=>[[[[[[.,.],[[.,.],.]],.],.],.],.] [[[[],[],[],[],[]],[]]]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [[[[],[],[],[[]]],[]]]=>[[[[[],[]]]],[[]],[]]=>[[],[[]],[[[[],[]]]]]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [[[[],[],[[]],[]],[]]]=>[[[[],[[]]]],[[]],[]]=>[[],[[]],[[[[]],[]]]]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] [[[[],[],[[],[]]],[]]]=>[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [[[[],[],[[[]]]],[]]]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]] [[[[],[[]],[],[]],[]]]=>[[[],[[[]]]],[[]],[]]=>[[],[[]],[[[[]]],[]]]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] [[[[],[[]],[[]]],[]]]=>[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]] [[[[],[[],[]],[]],[]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [[[[],[[[]]],[]],[]]]=>[[[],[],[[]]],[[]],[]]=>[[],[[]],[[[]],[],[]]]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]] [[[[],[[],[],[]]],[]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [[[[],[[],[[]]]],[]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [[[[],[[[]],[]]],[]]]=>[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]] [[[[],[[[],[]]]],[]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [[[[],[[[[]]]]],[]]]=>[[[],[],[],[]],[[]],[]]=>[[],[[]],[[],[],[],[]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]] [[[[[]],[],[],[]],[]]]=>[[],[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]],[]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] [[[[[]],[],[[]]],[]]]=>[[],[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]],[]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.] [[[[[]],[[]],[]],[]]]=>[[],[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]],[]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.] [[[[[]],[[],[]]],[]]]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.] [[[[[]],[[[]]]],[]]]=>[[],[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]],[]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.] [[[[[],[]],[],[]],[]]]=>[[[]],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[[]]]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] [[[[[[]]],[],[]],[]]]=>[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.] [[[[[],[]],[[]]],[]]]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]] [[[[[[]]],[[]]],[]]]=>[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.] [[[[[],[],[]],[]],[]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] [[[[[],[[]]],[]],[]]]=>[[[],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[]]]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]] [[[[[[]],[]],[]],[]]]=>[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.] [[[[[[],[]]],[]],[]]]=>[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]] [[[[[[[]]]],[]],[]]]=>[[],[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[],[]]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.] [[[[[],[],[],[]]],[]]]=>[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] [[[[[],[],[[]]]],[]]]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]] [[[[[],[[]],[]]],[]]]=>[[[],[[]]],[],[[]],[]]=>[[],[[]],[],[[[]],[]]]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]] [[[[[],[[],[]]]],[]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]] [[[[[],[[[]]]]],[]]]=>[[[],[],[]],[],[[]],[]]=>[[],[[]],[],[[],[],[]]]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]] [[[[[[]],[],[]]],[]]]=>[[],[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]],[]]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.] [[[[[[]],[[]]]],[]]]=>[[],[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]],[]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.] [[[[[[],[]],[]]],[]]]=>[[[]],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[[]]]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]] [[[[[[[]]],[]]],[]]]=>[[],[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[],[]]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.] [[[[[[],[],[]]]],[]]]=>[[[[]]],[],[],[[]],[]]=>[[],[[]],[],[],[[[]]]]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]] [[[[[[],[[]]]]],[]]]=>[[[],[]],[],[],[[]],[]]=>[[],[[]],[],[],[[],[]]]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]] [[[[[[[]],[]]]],[]]]=>[[],[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]],[]]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.] [[[[[[[],[]]]]],[]]]=>[[[]],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[[]]]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]] [[[[[[[[]]]]]],[]]]=>[[],[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[],[]]=>[[[[[[[.,.],[.,.]],.],.],.],.],.] [[[[],[],[],[],[],[]]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [[[[],[],[],[],[[]]]]]=>[[[[[[],[]]]]],[],[]]=>[[],[],[[[[[],[]]]]]]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] [[[[],[],[],[[]],[]]]]=>[[[[[],[[]]]]],[],[]]=>[[],[],[[[[[]],[]]]]]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] [[[[],[],[],[[],[]]]]]=>[[[[[[]],[]]]],[],[]]=>[[],[],[[[[],[[]]]]]]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [[[[],[],[],[[[]]]]]]=>[[[[[],[],[]]]],[],[]]=>[[],[],[[[[],[],[]]]]]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]] [[[[],[],[[]],[],[]]]]=>[[[[],[[[]]]]],[],[]]=>[[],[],[[[[[]]],[]]]]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] [[[[],[],[[]],[[]]]]]=>[[[[],[[],[]]]],[],[]]=>[[],[],[[[[],[]],[]]]]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]] [[[[],[],[[],[]],[]]]]=>[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] [[[[],[],[[[]]],[]]]]=>[[[[],[],[[]]]],[],[]]=>[[],[],[[[[]],[],[]]]]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]] [[[[],[],[[],[],[]]]]]=>[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [[[[],[],[[],[[]]]]]]=>[[[[[],[]],[]]],[],[]]=>[[],[],[[[],[[],[]]]]]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]] [[[[],[],[[[]],[]]]]]=>[[[[],[[]],[]]],[],[]]=>[[],[],[[[],[[]],[]]]]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]] [[[[],[],[[[],[]]]]]]=>[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [[[[],[],[[[[]]]]]]]=>[[[[],[],[],[]]],[],[]]=>[[],[],[[[],[],[],[]]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]] [[[[],[[]],[],[],[]]]]=>[[[],[[[[]]]]],[],[]]=>[[],[],[[[[[]]]],[]]]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] [[[[],[[]],[],[[]]]]]=>[[[],[[[],[]]]],[],[]]=>[[],[],[[[[],[]]],[]]]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]] [[[[],[[]],[[]],[]]]]=>[[[],[[],[[]]]],[],[]]=>[[],[],[[[[]],[]],[]]]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]] [[[[],[[]],[[],[]]]]]=>[[[],[[[]],[]]],[],[]]=>[[],[],[[[],[[]]],[]]]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]] [[[[],[[]],[[[]]]]]]=>[[[],[[],[],[]]],[],[]]=>[[],[],[[[],[],[]],[]]]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]] [[[[],[[],[]],[],[]]]]=>[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] [[[[],[[[]]],[],[]]]]=>[[[],[],[[[]]]],[],[]]=>[[],[],[[[[]]],[],[]]]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]] [[[[],[[],[]],[[]]]]]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]] [[[[],[[[]]],[[]]]]]=>[[[],[],[[],[]]],[],[]]=>[[],[],[[[],[]],[],[]]]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]] [[[[],[[],[],[]],[]]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [[[[],[[],[[]]],[]]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]] [[[[],[[[]],[]],[]]]]=>[[[],[[]],[[]]],[],[]]=>[[],[],[[[]],[[]],[]]]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]] [[[[],[[[],[]]],[]]]]=>[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]] [[[[],[[[[]]]],[]]]]=>[[[],[],[],[[]]],[],[]]=>[[],[],[[[]],[],[],[]]]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]] [[[[],[[],[],[],[]]]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [[[[],[[],[],[[]]]]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [[[[],[[],[[]],[]]]]]=>[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]] [[[[],[[],[[],[]]]]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [[[[],[[],[[[]]]]]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]] [[[[],[[[]],[],[]]]]]=>[[[],[[[]]],[]],[],[]]=>[[],[],[[],[[[]]],[]]]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]] [[[[],[[[]],[[]]]]]]=>[[[],[[],[]],[]],[],[]]=>[[],[],[[],[[],[]],[]]]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]] [[[[],[[[],[]],[]]]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]] [[[[],[[[[]]],[]]]]]=>[[[],[],[[]],[]],[],[]]=>[[],[],[[],[[]],[],[]]]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]] [[[[],[[[],[],[]]]]]]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]] [[[[],[[[],[[]]]]]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]] [[[[],[[[[]],[]]]]]]=>[[[],[[]],[],[]],[],[]]=>[[],[],[[],[],[[]],[]]]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]] [[[[],[[[[],[]]]]]]]=>[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]] [[[[],[[[[[]]]]]]]]=>[[[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[]]]=>[[[.,.],.],[[[[[.,.],.],.],.],.]] [[[[[]],[],[],[],[]]]]=>[[],[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]],[]]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] [[[[[]],[],[],[[]]]]]=>[[],[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]],[]]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.] [[[[[]],[],[[]],[]]]]=>[[],[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]],[]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.] [[[[[]],[],[[],[]]]]]=>[[],[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]],[]]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.] [[[[[]],[],[[[]]]]]]=>[[],[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]],[]]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.] [[[[[]],[[]],[],[]]]]=>[[],[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]],[]]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.] [[[[[]],[[]],[[]]]]]=>[[],[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]],[]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.] [[[[[]],[[],[]],[]]]]=>[[],[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]],[]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.] [[[[[]],[[[]]],[]]]]=>[[],[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]],[]]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.] [[[[[]],[[],[],[]]]]]=>[[],[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]],[]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.] [[[[[]],[[],[[]]]]]]=>[[],[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]],[]]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.] [[[[[]],[[[]],[]]]]]=>[[],[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]],[]]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.] [[[[[]],[[[],[]]]]]]=>[[],[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]],[]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.] [[[[[]],[[[[]]]]]]]=>[[],[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]],[]]=>[[[[.,.],.],[[[[.,.],.],.],.]],.] [[[[[],[]],[],[],[]]]]=>[[[]],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[[]]]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] [[[[[[]]],[],[],[]]]]=>[[],[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[],[]]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.] [[[[[],[]],[],[[]]]]]=>[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]] [[[[[[]]],[],[[]]]]]=>[[],[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[],[]]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.] [[[[[],[]],[[]],[]]]]=>[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]] [[[[[[]]],[[]],[]]]]=>[[],[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[],[]]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.] [[[[[],[]],[[],[]]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]] [[[[[],[]],[[[]]]]]]=>[[[]],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[[]]]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]] [[[[[[]]],[[],[]]]]]=>[[],[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[],[]]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.] [[[[[[]]],[[[]]]]]]=>[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]=>[[[[[.,.],.],[[[.,.],.],.]],.],.] [[[[[],[],[]],[],[]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] [[[[[],[[]]],[],[]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]] [[[[[[]],[]],[],[]]]]=>[[],[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]],[]]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.] [[[[[[],[]]],[],[]]]]=>[[[]],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[[]]]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]] [[[[[[[]]]],[],[]]]]=>[[],[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[],[]]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.] [[[[[],[],[]],[[]]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]] [[[[[],[[]]],[[]]]]]=>[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]] [[[[[[]],[]],[[]]]]]=>[[],[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]],[]]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.] [[[[[[],[]]],[[]]]]]=>[[[]],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[[]]]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]] [[[[[[[]]]],[[]]]]]=>[[],[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[],[]]=>[[[[[[.,.],.],[[.,.],.]],.],.],.] [[[[[],[],[],[]],[]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] [[[[[],[],[[]]],[]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]] [[[[[],[[]],[]],[]]]]=>[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]] [[[[[],[[],[]]],[]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]] [[[[[],[[[]]]],[]]]]=>[[[],[],[]],[[]],[],[]]=>[[],[],[[]],[[],[],[]]]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]] [[[[[[]],[],[]],[]]]]=>[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.] [[[[[[]],[[]]],[]]]]=>[[],[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]],[]]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.] [[[[[[],[]],[]],[]]]]=>[[[]],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[[]]]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]] [[[[[[[]]],[]],[]]]]=>[[],[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[],[]]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.] [[[[[[],[],[]]],[]]]]=>[[[[]]],[],[[]],[],[]]=>[[],[],[[]],[],[[[]]]]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]] [[[[[[],[[]]]],[]]]]=>[[[],[]],[],[[]],[],[]]=>[[],[],[[]],[],[[],[]]]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]] [[[[[[[]],[]]],[]]]]=>[[],[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]],[]]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.] [[[[[[[],[]]]],[]]]]=>[[[]],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[[]]]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]] [[[[[[[[]]]]],[]]]]=>[[],[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[],[]]=>[[[[[[[.,.],.],[.,.]],.],.],.],.] [[[[[],[],[],[],[]]]]]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] [[[[[],[],[],[[]]]]]]=>[[[[[],[]]]],[],[],[]]=>[[],[],[],[[[[],[]]]]]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]] [[[[[],[],[[]],[]]]]]=>[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]] [[[[[],[],[[],[]]]]]]=>[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]] [[[[[],[],[[[]]]]]]]=>[[[[],[],[]]],[],[],[]]=>[[],[],[],[[[],[],[]]]]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]] [[[[[],[[]],[],[]]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]] [[[[[],[[]],[[]]]]]]=>[[[],[[],[]]],[],[],[]]=>[[],[],[],[[[],[]],[]]]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]] [[[[[],[[],[]],[]]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]] [[[[[],[[[]]],[]]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]] [[[[[],[[],[],[]]]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]] [[[[[],[[],[[]]]]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]] [[[[[],[[[]],[]]]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]] [[[[[],[[[],[]]]]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]] [[[[[],[[[[]]]]]]]]=>[[[],[],[],[]],[],[],[]]=>[[],[],[],[[],[],[],[]]]=>[[[[.,.],.],.],[[[[.,.],.],.],.]] [[[[[[]],[],[],[]]]]]=>[[],[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]],[]]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.] [[[[[[]],[],[[]]]]]]=>[[],[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]],[]]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.] [[[[[[]],[[]],[]]]]]=>[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.] [[[[[[]],[[],[]]]]]]=>[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.] [[[[[[]],[[[]]]]]]]=>[[],[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]],[]]=>[[[[[.,.],.],.],[[[.,.],.],.]],.] [[[[[[],[]],[],[]]]]]=>[[[]],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[[]]]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]] [[[[[[[]]],[],[]]]]]=>[[],[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[],[]]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.] [[[[[[],[]],[[]]]]]]=>[[[]],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[[]]]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]] [[[[[[[]]],[[]]]]]]=>[[],[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[],[]]=>[[[[[[.,.],.],.],[[.,.],.]],.],.] [[[[[[],[],[]],[]]]]]=>[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]] [[[[[[],[[]]],[]]]]]=>[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]] [[[[[[[]],[]],[]]]]]=>[[],[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]],[]]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.] [[[[[[[],[]]],[]]]]]=>[[[]],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[[]]]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]] [[[[[[[[]]]],[]]]]]=>[[],[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[],[]]=>[[[[[[[.,.],.],.],[.,.]],.],.],.] [[[[[[],[],[],[]]]]]]=>[[[[[]]]],[],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]] [[[[[[],[],[[]]]]]]]=>[[[[],[]]],[],[],[],[]]=>[[],[],[],[],[[[],[]]]]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]] [[[[[[],[[]],[]]]]]]=>[[[],[[]]],[],[],[],[]]=>[[],[],[],[],[[[]],[]]]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]] [[[[[[],[[],[]]]]]]]=>[[[[]],[]],[],[],[],[]]=>[[],[],[],[],[[],[[]]]]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]] [[[[[[],[[[]]]]]]]]=>[[[],[],[]],[],[],[],[]]=>[[],[],[],[],[[],[],[]]]=>[[[[[.,.],.],.],.],[[[.,.],.],.]] [[[[[[[]],[],[]]]]]]=>[[],[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]],[]]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.] [[[[[[[]],[[]]]]]]]=>[[],[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]],[]]=>[[[[[[.,.],.],.],.],[[.,.],.]],.] [[[[[[[],[]],[]]]]]]=>[[[]],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[[]]]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]] [[[[[[[[]]],[]]]]]]=>[[],[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[],[]]=>[[[[[[[.,.],.],.],.],[.,.]],.],.] [[[[[[[],[],[]]]]]]]=>[[[[]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[]]]]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]] [[[[[[[],[[]]]]]]]]=>[[[],[]],[],[],[],[],[]]=>[[],[],[],[],[],[[],[]]]=>[[[[[[.,.],.],.],.],.],[[.,.],.]] [[[[[[[[]],[]]]]]]]=>[[],[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]],[]]=>[[[[[[[.,.],.],.],.],.],[.,.]],.] [[[[[[[[],[]]]]]]]]=>[[[]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[]]]=>[[[[[[[.,.],.],.],.],.],.],[.,.]] [[[[[[[[[]]]]]]]]]=>[[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[]]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
Map
DeBruijn-Morselt plane tree automorphism
Description
This automorphism on the set of plane trees with a given number of vertices is the combination of the two "canonical" bijections between plane trees and binary trees, using either the left or right branches. In [3] Shapiro essentially attributes this automorphism to DeBruijn and Morselt [1], hence the name I chose. Shapiro shows in that paper that for a large subset of plane trees (those corresponding to compositions), the sixth power of the automorphism acts as the identity on this subset. However, its behavior in general is quite chaotic. In [2] Donaghey studies this automorphism further and shows that its behavior on all trees can be reduced to its behavior on certain "primitive" trees.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
Map
to binary tree: left brother = left child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.