Identifier
Mp00328: Ordered trees —DeBruijn-Morselt plane tree automorphism⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00050: Ordered trees —to binary tree: right brother = right 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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[[[[[]]],[],[],[[]]]]=>[[],[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[],[]]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] [[[[],[]],[],[[]],[]]]=>[[[]],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[[]]]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]] [[[[[]]],[],[[]],[]]]=>[[],[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[],[]]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] [[[[],[]],[],[[],[]]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]] [[[[],[]],[],[[[]]]]]=>[[[]],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[[]]]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] [[[[[]]],[],[[],[]]]]=>[[],[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[],[]]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] [[[[[]]],[],[[[]]]]]=>[[],[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[],[]]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] [[[[],[]],[[]],[],[]]]=>[[[]],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[[]]]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]] [[[[[]]],[[]],[],[]]]=>[[],[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[],[]]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] [[[[],[]],[[]],[[]]]]=>[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] [[[[[]]],[[]],[[]]]]=>[[],[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[],[]]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [[[[],[]],[[],[]],[]]]=>[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]] [[[[],[]],[[[]]],[]]]=>[[[]],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[[]]]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [[[[[]]],[[],[]],[]]]=>[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [[[[[]]],[[[]]],[]]]=>[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [[[[],[]],[[],[],[]]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]] [[[[],[]],[[],[[]]]]]=>[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] [[[[],[]],[[[]],[]]]]=>[[[]],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[[]]]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] [[[[],[]],[[[],[]]]]]=>[[[]],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[[]]]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] [[[[],[]],[[[[]]]]]]=>[[[]],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[[]]]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [[[[[]]],[[],[],[]]]]=>[[],[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[],[]]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] [[[[[]]],[[],[[]]]]]=>[[],[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[],[]]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] [[[[[]]],[[[]],[]]]]=>[[],[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[],[]]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] [[[[[]]],[[[],[]]]]]=>[[],[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[],[]]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] [[[[[]]],[[[[]]]]]]=>[[],[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[],[]]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [[[[],[],[]],[],[],[]]]=>[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]] [[[[],[[]]],[],[],[]]]=>[[[],[]],[[[[]]]],[]]=>[[],[[[[]]]],[[],[]]]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]] [[[[[]],[]],[],[],[]]]=>[[],[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]],[]]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]] [[[[[],[]]],[],[],[]]]=>[[[]],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[[]]]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]] [[[[[[]]]],[],[],[]]]=>[[],[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[],[]]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] [[[[],[],[]],[],[[]]]]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]] [[[[],[[]]],[],[[]]]]=>[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] [[[[[]],[]],[],[[]]]]=>[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [[[[[],[]]],[],[[]]]]=>[[[]],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[[]]]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] [[[[[[]]]],[],[[]]]]=>[[],[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[],[]]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [[[[],[],[]],[[]],[]]]=>[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]] [[[[],[[]]],[[]],[]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [[[[[]],[]],[[]],[]]]=>[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [[[[[],[]]],[[]],[]]]=>[[[]],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[[]]]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] [[[[[[]]]],[[]],[]]]=>[[],[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[],[]]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [[[[],[],[]],[[],[]]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]] [[[[],[],[]],[[[]]]]]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] [[[[],[[]]],[[],[]]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] [[[[],[[]]],[[[]]]]]=>[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] [[[[[]],[]],[[],[]]]]=>[[],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[]]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] [[[[[]],[]],[[[]]]]]=>[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [[[[[],[]]],[[],[]]]]=>[[[]],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[[]]]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] [[[[[],[]]],[[[]]]]]=>[[[]],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[[]]]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [[[[[[]]]],[[],[]]]]=>[[],[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[],[]]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] [[[[[[]]]],[[[]]]]]=>[[],[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[],[]]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [[[[],[],[],[]],[],[]]]=>[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]] [[[[],[],[[]]],[],[]]]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]] [[[[],[[]],[]],[],[]]]=>[[[],[[]]],[[[]]],[]]=>[[],[[[]]],[[[]],[]]]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]] [[[[],[[],[]]],[],[]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]] [[[[],[[[]]]],[],[]]]=>[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] [[[[[]],[],[]],[],[]]]=>[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [[[[[]],[[]]],[],[]]]=>[[],[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]],[]]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [[[[[],[]],[]],[],[]]]=>[[[]],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[[]]]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]] [[[[[[]]],[]],[],[]]]=>[[],[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[],[]]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [[[[[],[],[]]],[],[]]]=>[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]] [[[[[],[[]]]],[],[]]]=>[[[],[]],[],[[[]]],[]]=>[[],[[[]]],[],[[],[]]]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] [[[[[[]],[]]],[],[]]]=>[[],[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]],[]]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [[[[[[],[]]]],[],[]]]=>[[[]],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[[]]]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [[[[[[[]]]]],[],[]]]=>[[],[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[],[]]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [[[[],[],[],[]],[[]]]]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]] [[[[],[],[[]]],[[]]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] [[[[],[[]],[]],[[]]]]=>[[[],[[]]],[[],[]],[]]=>[[],[[],[]],[[[]],[]]]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] [[[[],[[],[]]],[[]]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] [[[[],[[[]]]],[[]]]]=>[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [[[[[]],[],[]],[[]]]]=>[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] [[[[[]],[[]]],[[]]]]=>[[],[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]],[]]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [[[[[],[]],[]],[[]]]]=>[[[]],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[[]]]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [[[[[[]]],[]],[[]]]]=>[[],[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[],[]]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [[[[[],[],[]]],[[]]]]=>[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] [[[[[],[[]]]],[[]]]]=>[[[],[]],[],[[],[]],[]]=>[[],[[],[]],[],[[],[]]]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [[[[[[]],[]]],[[]]]]=>[[],[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]],[]]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [[[[[[],[]]]],[[]]]]=>[[[]],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[[]]]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [[[[[[[]]]]],[[]]]]=>[[],[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[],[]]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [[[[],[],[],[],[]],[]]]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]] [[[[],[],[],[[]]],[]]]=>[[[[[],[]]]],[[]],[]]=>[[],[[]],[[[[],[]]]]]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]] [[[[],[],[[]],[]],[]]]=>[[[[],[[]]]],[[]],[]]=>[[],[[]],[[[[]],[]]]]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]] [[[[],[],[[],[]]],[]]]=>[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]] [[[[],[],[[[]]]],[]]]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] [[[[],[[]],[],[]],[]]]=>[[[],[[[]]]],[[]],[]]=>[[],[[]],[[[[]]],[]]]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]] [[[[],[[]],[[]]],[]]]=>[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] [[[[],[[],[]],[]],[]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]] [[[[],[[[]]],[]],[]]]=>[[[],[],[[]]],[[]],[]]=>[[],[[]],[[[]],[],[]]]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] [[[[],[[],[],[]]],[]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]] [[[[],[[],[[]]]],[]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] [[[[],[[[]],[]]],[]]]=>[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] [[[[],[[[],[]]]],[]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] [[[[],[[[[]]]]],[]]]=>[[[],[],[],[]],[[]],[]]=>[[],[[]],[[],[],[],[]]]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] [[[[[]],[],[],[]],[]]]=>[[],[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]],[]]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]] [[[[[]],[],[[]]],[]]]=>[[],[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]],[]]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] [[[[[]],[[]],[]],[]]]=>[[],[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]],[]]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [[[[[]],[[],[]]],[]]]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] [[[[[]],[[[]]]],[]]]=>[[],[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]],[]]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [[[[[],[]],[],[]],[]]]=>[[[]],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[[]]]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]] [[[[[[]]],[],[]],[]]]=>[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [[[[[],[]],[[]]],[]]]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [[[[[[]]],[[]]],[]]]=>[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [[[[[],[],[]],[]],[]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]] [[[[[],[[]]],[]],[]]]=>[[[],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[]]]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [[[[[[]],[]],[]],[]]]=>[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [[[[[[],[]]],[]],[]]]=>[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [[[[[[[]]]],[]],[]]]=>[[],[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[],[]]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [[[[[],[],[],[]]],[]]]=>[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]] [[[[[],[],[[]]]],[]]]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] [[[[[],[[]],[]]],[]]]=>[[[],[[]]],[],[[]],[]]=>[[],[[]],[],[[[]],[]]]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] [[[[[],[[],[]]]],[]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] [[[[[],[[[]]]]],[]]]=>[[[],[],[]],[],[[]],[]]=>[[],[[]],[],[[],[],[]]]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] [[[[[[]],[],[]]],[]]]=>[[],[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]],[]]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [[[[[[]],[[]]]],[]]]=>[[],[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]],[]]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [[[[[[],[]],[]]],[]]]=>[[[]],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[[]]]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [[[[[[[]]],[]]],[]]]=>[[],[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[],[]]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [[[[[[],[],[]]]],[]]]=>[[[[]]],[],[],[[]],[]]=>[[],[[]],[],[],[[[]]]]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] [[[[[[],[[]]]]],[]]]=>[[[],[]],[],[],[[]],[]]=>[[],[[]],[],[],[[],[]]]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [[[[[[[]],[]]]],[]]]=>[[],[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]],[]]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [[[[[[[],[]]]]],[]]]=>[[[]],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[[]]]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [[[[[[[[]]]]]],[]]]=>[[],[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[],[]]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [[[[],[],[],[],[],[]]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]] [[[[],[],[],[],[[]]]]]=>[[[[[[],[]]]]],[],[]]=>[[],[],[[[[[],[]]]]]]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]] [[[[],[],[],[[]],[]]]]=>[[[[[],[[]]]]],[],[]]=>[[],[],[[[[[]],[]]]]]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]] [[[[],[],[],[[],[]]]]]=>[[[[[[]],[]]]],[],[]]=>[[],[],[[[[],[[]]]]]]=>[.,[.,[[[[.,[[.,.],.]],.],.],.]]] [[[[],[],[],[[[]]]]]]=>[[[[[],[],[]]]],[],[]]=>[[],[],[[[[],[],[]]]]]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] [[[[],[],[[]],[],[]]]]=>[[[[],[[[]]]]],[],[]]=>[[],[],[[[[[]]],[]]]]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]] [[[[],[],[[]],[[]]]]]=>[[[[],[[],[]]]],[],[]]=>[[],[],[[[[],[]],[]]]]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] [[[[],[],[[],[]],[]]]]=>[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]] [[[[],[],[[[]]],[]]]]=>[[[[],[],[[]]]],[],[]]=>[[],[],[[[[]],[],[]]]]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] [[[[],[],[[],[],[]]]]]=>[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]] [[[[],[],[[],[[]]]]]]=>[[[[[],[]],[]]],[],[]]=>[[],[],[[[],[[],[]]]]]=>[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] [[[[],[],[[[]],[]]]]]=>[[[[],[[]],[]]],[],[]]=>[[],[],[[[],[[]],[]]]]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] [[[[],[],[[[],[]]]]]]=>[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] [[[[],[],[[[[]]]]]]]=>[[[[],[],[],[]]],[],[]]=>[[],[],[[[],[],[],[]]]]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] [[[[],[[]],[],[],[]]]]=>[[[],[[[[]]]]],[],[]]=>[[],[],[[[[[]]]],[]]]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]] [[[[],[[]],[],[[]]]]]=>[[[],[[[],[]]]],[],[]]=>[[],[],[[[[],[]]],[]]]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] [[[[],[[]],[[]],[]]]]=>[[[],[[],[[]]]],[],[]]=>[[],[],[[[[]],[]],[]]]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] [[[[],[[]],[[],[]]]]]=>[[[],[[[]],[]]],[],[]]=>[[],[],[[[],[[]]],[]]]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] [[[[],[[]],[[[]]]]]]=>[[[],[[],[],[]]],[],[]]=>[[],[],[[[],[],[]],[]]]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] [[[[],[[],[]],[],[]]]]=>[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]] [[[[],[[[]]],[],[]]]]=>[[[],[],[[[]]]],[],[]]=>[[],[],[[[[]]],[],[]]]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] [[[[],[[],[]],[[]]]]]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] [[[[],[[[]]],[[]]]]]=>[[[],[],[[],[]]],[],[]]=>[[],[],[[[],[]],[],[]]]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] [[[[],[[],[],[]],[]]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]] [[[[],[[],[[]]],[]]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] [[[[],[[[]],[]],[]]]]=>[[[],[[]],[[]]],[],[]]=>[[],[],[[[]],[[]],[]]]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] [[[[],[[[],[]]],[]]]]=>[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] [[[[],[[[[]]]],[]]]]=>[[[],[],[],[[]]],[],[]]=>[[],[],[[[]],[],[],[]]]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] [[[[],[[],[],[],[]]]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]] [[[[],[[],[],[[]]]]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] [[[[],[[],[[]],[]]]]]=>[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] [[[[],[[],[[],[]]]]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] [[[[],[[],[[[]]]]]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] [[[[],[[[]],[],[]]]]]=>[[[],[[[]]],[]],[],[]]=>[[],[],[[],[[[]]],[]]]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] [[[[],[[[]],[[]]]]]]=>[[[],[[],[]],[]],[],[]]=>[[],[],[[],[[],[]],[]]]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] [[[[],[[[],[]],[]]]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] [[[[],[[[[]]],[]]]]]=>[[[],[],[[]],[]],[],[]]=>[[],[],[[],[[]],[],[]]]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] [[[[],[[[],[],[]]]]]]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] [[[[],[[[],[[]]]]]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] [[[[],[[[[]],[]]]]]]=>[[[],[[]],[],[]],[],[]]=>[[],[],[[],[],[[]],[]]]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] [[[[],[[[[],[]]]]]]]=>[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] [[[[],[[[[[]]]]]]]]=>[[[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[]]]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] [[[[[]],[],[],[],[]]]]=>[[],[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]],[]]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]] [[[[[]],[],[],[[]]]]]=>[[],[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]],[]]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] [[[[[]],[],[[]],[]]]]=>[[],[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]],[]]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] [[[[[]],[],[[],[]]]]]=>[[],[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]],[]]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] [[[[[]],[],[[[]]]]]]=>[[],[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]],[]]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] [[[[[]],[[]],[],[]]]]=>[[],[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]],[]]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] [[[[[]],[[]],[[]]]]]=>[[],[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]],[]]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] [[[[[]],[[],[]],[]]]]=>[[],[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]],[]]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] [[[[[]],[[[]]],[]]]]=>[[],[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]],[]]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] [[[[[]],[[],[],[]]]]]=>[[],[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]],[]]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] [[[[[]],[[],[[]]]]]]=>[[],[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]],[]]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] [[[[[]],[[[]],[]]]]]=>[[],[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]],[]]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] [[[[[]],[[[],[]]]]]]=>[[],[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]],[]]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] [[[[[]],[[[[]]]]]]]=>[[],[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]],[]]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [[[[[],[]],[],[],[]]]]=>[[[]],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[[]]]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]] [[[[[[]]],[],[],[]]]]=>[[],[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[],[]]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] [[[[[],[]],[],[[]]]]]=>[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] [[[[[[]]],[],[[]]]]]=>[[],[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[],[]]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [[[[[],[]],[[]],[]]]]=>[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] [[[[[[]]],[[]],[]]]]=>[[],[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[],[]]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] [[[[[],[]],[[],[]]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] [[[[[],[]],[[[]]]]]]=>[[[]],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[[]]]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [[[[[[]]],[[],[]]]]]=>[[],[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[],[]]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] [[[[[[]]],[[[]]]]]]=>[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [[[[[],[],[]],[],[]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]] [[[[[],[[]]],[],[]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] [[[[[[]],[]],[],[]]]]=>[[],[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]],[]]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] [[[[[[],[]]],[],[]]]]=>[[[]],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[[]]]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] [[[[[[[]]]],[],[]]]]=>[[],[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[],[]]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [[[[[],[],[]],[[]]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] [[[[[],[[]]],[[]]]]]=>[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] [[[[[[]],[]],[[]]]]]=>[[],[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]],[]]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [[[[[[],[]]],[[]]]]]=>[[[]],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[[]]]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [[[[[[[]]]],[[]]]]]=>[[],[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[],[]]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [[[[[],[],[],[]],[]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]] [[[[[],[],[[]]],[]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] [[[[[],[[]],[]],[]]]]=>[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] [[[[[],[[],[]]],[]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] [[[[[],[[[]]]],[]]]]=>[[[],[],[]],[[]],[],[]]=>[[],[],[[]],[[],[],[]]]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [[[[[[]],[],[]],[]]]]=>[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] [[[[[[]],[[]]],[]]]]=>[[],[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]],[]]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [[[[[[],[]],[]],[]]]]=>[[[]],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[[]]]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [[[[[[[]]],[]],[]]]]=>[[],[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[],[]]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [[[[[[],[],[]]],[]]]]=>[[[[]]],[],[[]],[],[]]=>[[],[],[[]],[],[[[]]]]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] [[[[[[],[[]]]],[]]]]=>[[[],[]],[],[[]],[],[]]=>[[],[],[[]],[],[[],[]]]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [[[[[[[]],[]]],[]]]]=>[[],[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]],[]]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [[[[[[[],[]]]],[]]]]=>[[[]],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[[]]]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [[[[[[[[]]]]],[]]]]=>[[],[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[],[]]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [[[[[],[],[],[],[]]]]]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]] [[[[[],[],[],[[]]]]]]=>[[[[[],[]]]],[],[],[]]=>[[],[],[],[[[[],[]]]]]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] [[[[[],[],[[]],[]]]]]=>[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] [[[[[],[],[[],[]]]]]]=>[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] [[[[[],[],[[[]]]]]]]=>[[[[],[],[]]],[],[],[]]=>[[],[],[],[[[],[],[]]]]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] [[[[[],[[]],[],[]]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] [[[[[],[[]],[[]]]]]]=>[[[],[[],[]]],[],[],[]]=>[[],[],[],[[[],[]],[]]]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] [[[[[],[[],[]],[]]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] [[[[[],[[[]]],[]]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] [[[[[],[[],[],[]]]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] [[[[[],[[],[[]]]]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] [[[[[],[[[]],[]]]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] [[[[[],[[[],[]]]]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] [[[[[],[[[[]]]]]]]]=>[[[],[],[],[]],[],[],[]]=>[[],[],[],[[],[],[],[]]]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] [[[[[[]],[],[],[]]]]]=>[[],[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]],[]]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] [[[[[[]],[],[[]]]]]]=>[[],[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]],[]]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] [[[[[[]],[[]],[]]]]]=>[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [[[[[[]],[[],[]]]]]]=>[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] [[[[[[]],[[[]]]]]]]=>[[],[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]],[]]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [[[[[[],[]],[],[]]]]]=>[[[]],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[[]]]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] [[[[[[[]]],[],[]]]]]=>[[],[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[],[]]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [[[[[[],[]],[[]]]]]]=>[[[]],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[[]]]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [[[[[[[]]],[[]]]]]]=>[[],[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[],[]]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [[[[[[],[],[]],[]]]]]=>[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] [[[[[[],[[]]],[]]]]]=>[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [[[[[[[]],[]],[]]]]]=>[[],[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]],[]]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [[[[[[[],[]]],[]]]]]=>[[[]],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[[]]]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [[[[[[[[]]]],[]]]]]=>[[],[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[],[]]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [[[[[[],[],[],[]]]]]]=>[[[[[]]]],[],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] [[[[[[],[],[[]]]]]]]=>[[[[],[]]],[],[],[],[]]=>[[],[],[],[],[[[],[]]]]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] [[[[[[],[[]],[]]]]]]=>[[[],[[]]],[],[],[],[]]=>[[],[],[],[],[[[]],[]]]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] [[[[[[],[[],[]]]]]]]=>[[[[]],[]],[],[],[],[]]=>[[],[],[],[],[[],[[]]]]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] [[[[[[],[[[]]]]]]]]=>[[[],[],[]],[],[],[],[]]=>[[],[],[],[],[[],[],[]]]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] [[[[[[[]],[],[]]]]]]=>[[],[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]],[]]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] [[[[[[[]],[[]]]]]]]=>[[],[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]],[]]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [[[[[[[],[]],[]]]]]]=>[[[]],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[[]]]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [[[[[[[[]]],[]]]]]]=>[[],[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[],[]]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [[[[[[[],[],[]]]]]]]=>[[[[]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[]]]]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] [[[[[[[],[[]]]]]]]]=>[[[],[]],[],[],[],[],[]]=>[[],[],[],[],[],[[],[]]]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [[[[[[[[]],[]]]]]]]=>[[],[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]],[]]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [[[[[[[[],[]]]]]]]]=>[[[]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[]]]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [[[[[[[[[]]]]]]]]]=>[[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[]]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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: right brother = right child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of an ordered tree $t$) obtained from $t$ by the following recursive rule:
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.