Identifier
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00049: Ordered trees —to binary tree: left brother = left child⟶ Binary trees
Images
=>
Cc0005;cc-rep-0Cc0021;cc-rep-1Cc0021;cc-rep-2Cc0010;cc-rep-3
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[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]=>[.,[[.,[[.,[.,.]],[.,.]]],.]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]]]=>[[.,.],[[.,[.,[[.,.],.]]],.]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]=>[.,[[[.,.],[.,[[.,.],.]]],.]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]=>[.,[[.,[[.,.],[[.,.],.]]],.]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]]]=>[.,[[.,[.,[[[.,.],.],.]]],.]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]]]=>[.,[[.,[.,[[.,[.,.]],.]]],.]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]]]=>[[.,.],[[.,[.,[.,[.,.]]]],.]] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]=>[.,[[[.,.],[.,[.,[.,.]]]],.]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]=>[.,[[.,[[.,.],[.,[.,.]]]],.]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]]]=>[.,[[.,[.,[[.,.],[.,.]]]],.]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]]]=>[.,[[.,[.,[.,[[.,.],.]]]],.]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]]]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]]]=>[[[[[.,.],.],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]=>[[[[.,[.,.]],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]]]=>[[[[.,.],[.,.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]=>[[[.,[[.,.],.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]=>[[[.,[.,[.,.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]=>[[.,[[[.,.],.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]=>[[.,[[.,[.,.]],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]=>[[.,[[.,.],[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]=>[[.,[.,[[.,.],.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]=>[[.,[[.,.],.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]=>[[[.,.],.],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]=>[[.,[.,.]],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]=>[[.,.],[[[[.,.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]=>[.,[[[[[.,.],.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]=>[.,[[[[.,[.,.]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]=>[[.,.],[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]=>[.,[[[[.,.],[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]=>[.,[[[.,[[.,.],.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]=>[.,[[[.,[.,[.,.]]],.],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]=>[.,[[[[.,.],.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]=>[.,[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]=>[[.,.],[[.,[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]=>[.,[[[.,.],[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]=>[.,[[.,[[[.,.],.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]=>[.,[[.,[[.,[.,.]],.]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]=>[.,[[[.,.],[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]=>[.,[[.,[[.,.],[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]=>[.,[[.,[.,[[.,.],.]]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]=>[[[[.,.],.],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]=>[[.,[[.,.],.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]=>[[.,.],[[[.,.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]=>[.,[[[[.,.],.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]=>[.,[[[.,[.,.]],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]=>[.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]=>[.,[[.,[[.,.],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]=>[.,[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]=>[[[.,.],.],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]=>[[.,[.,.]],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]=>[[.,.],[[.,.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]=>[.,[[[.,.],.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]=>[.,[[.,[.,.]],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]=>[[.,.],[.,[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]=>[.,[[.,.],[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]]]=>[.,[.,[[[[[.,.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]]]=>[.,[.,[[[[.,[.,.]],.],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]=>[[.,.],[.,[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]=>[.,[[.,.],[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]]]=>[.,[.,[[[[.,.],[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]]]=>[.,[.,[[[.,[[.,.],.]],.],.]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]]]=>[.,[.,[[[.,[.,[.,.]]],.],.]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]=>[[[.,.],.],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]=>[.,[[[.,.],.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]=>[.,[[.,[.,.]],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]=>[[.,.],[.,[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]=>[.,[[.,.],[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]=>[.,[.,[[[[.,.],.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]=>[.,[.,[[[.,[.,.]],[.,.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]=>[[.,.],[.,[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]=>[.,[[.,.],[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]=>[.,[.,[[[.,.],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]]]=>[.,[.,[[.,[[[.,.],.],.]],.]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]]]=>[.,[.,[[.,[[.,[.,.]],.]],.]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]=>[.,[[.,.],[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]=>[.,[.,[[[.,.],[.,[.,.]]],.]]] 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[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[[[]]],[],[],[],[[]]]=>[[[]],[],[],[],[[[]]]]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[[[[]]],[],[],[[]],[]]=>[[],[[]],[],[],[[[]]]]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[[[[]]],[],[],[[],[]]]=>[[[],[]],[],[],[[[]]]]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[[[[]]],[],[],[[[]]]]=>[[[[]]],[],[],[[[]]]]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[[[[]]],[],[[]],[],[]]=>[[],[],[[]],[],[[[]]]]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[[]]],[],[[[]],[]]]=>[[[],[[]]],[],[[[]]]]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[[]]],[],[[[],[]]]]=>[[[[],[]]],[],[[[]]]]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[[[]]],[],[[[[]]]]]=>[[[[[]]]],[],[[[]]]]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[[]]],[[],[[[]]]]]=>[[[[[]]],[]],[[[]]]]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[[[[]]],[[[],[[]]]]]=>[[[[[]],[]]],[[[]]]]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[[]]],[[[[]]],[]]]=>[[[],[[[]]]],[[[]]]]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[[[[]]],[[[[]],[]]]]=>[[[[],[[]]]],[[[]]]]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[[[[]]],[[[[],[]]]]]=>[[[[[],[]]]],[[[]]]]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[[[]]],[[[[[]]]]]]=>[[[[[[]]]]],[[[]]]]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[[]],[]],[],[],[],[]]=>[[],[],[],[],[[],[[]]]]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[[]],[]],[[],[[]]]]=>[[[[]],[]],[[],[[]]]]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[[]],[]],[[[[]]]]]=>[[[[[]]]],[[],[[]]]]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[[]],[],[]],[[],[]]]=>[[[],[]],[[],[],[[]]]]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[[]],[],[]],[[[]]]]=>[[[[]]],[[],[],[[]]]]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[[]],[],[],[],[]],[]]=>[[],[[],[],[],[],[[]]]]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]]]]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[[]],[],[],[],[[]]]]=>[[[[]],[],[],[],[[]]]]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[[]],[],[],[[]]],[]]=>[[],[[[]],[],[],[[]]]]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[[]],[],[],[[]],[]]]=>[[[],[[]],[],[],[[]]]]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[[]],[],[],[[],[]]]]=>[[[[],[]],[],[],[[]]]]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[[]],[],[],[[[]]]]]=>[[[[[]]],[],[],[[]]]]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[[]],[],[[]]],[[]]]=>[[[]],[[[]],[],[[]]]]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[[]],[],[[]],[]],[]]=>[[],[[],[[]],[],[[]]]]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[[]],[],[[]],[],[]]]=>[[[],[],[[]],[],[[]]]]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[[]],[],[[]],[[]]]]=>[[[[]],[[]],[],[[]]]]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[[]],[],[[],[]]],[]]=>[[],[[[],[]],[],[[]]]]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[[]],[],[[],[]],[]]]=>[[[],[[],[]],[],[[]]]]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[[]],[],[[],[],[]]]]=>[[[[],[],[]],[],[[]]]]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[[]],[],[[],[[]]]]]=>[[[[[]],[]],[],[[]]]]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[[]],[],[[[]]]],[]]=>[[],[[[[]]],[],[[]]]]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[[]],[],[[[]]],[]]]=>[[[],[[[]]],[],[[]]]]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[[]],[],[[[]],[]]]]=>[[[[],[[]]],[],[[]]]]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[[]],[],[[[],[]]]]]=>[[[[[],[]]],[],[[]]]]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[[]],[],[[[[]]]]]]=>[[[[[[]]]],[],[[]]]]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[[]],[[]]],[],[[]]]=>[[[]],[],[[[]],[[]]]]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[[]],[[]],[],[[]]]]=>[[[[]],[],[[]],[[]]]]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[[]],[[]],[[]]],[]]=>[[],[[[]],[[]],[[]]]]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[[]],[[]],[[]],[]]]=>[[[],[[]],[[]],[[]]]]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[[]],[[]],[[],[]]]]=>[[[[],[]],[[]],[[]]]]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[[]],[[]],[[[]]]]]=>[[[[[]]],[[]],[[]]]]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[[]],[[],[]],[]],[]]=>[[],[[],[[],[]],[[]]]]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[[]],[[],[]],[],[]]]=>[[[],[],[[],[]],[[]]]]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[[]],[[],[]],[[]]]]=>[[[[]],[[],[]],[[]]]]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[[]],[[],[],[]]],[]]=>[[],[[[],[],[]],[[]]]]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[[]],[[],[],[]],[]]]=>[[[],[[],[],[]],[[]]]]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[[]],[[],[],[],[]]]]=>[[[[],[],[],[]],[[]]]]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[[]],[[],[],[[]]]]]=>[[[[[]],[],[]],[[]]]]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[[]],[[],[[]],[]]]]=>[[[[],[[]],[]],[[]]]]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[]]]]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[[[[]],[[],[[[]]]]]]=>[[[[[[]]],[]],[[]]]]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[[[[]],[[[]]],[]],[]]=>[[],[[],[[[]]],[[]]]]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[[]],[[[]]],[],[]]]=>[[[],[],[[[]]],[[]]]]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[[[[]],[[[]]],[[]]]]=>[[[[]],[[[]]],[[]]]]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[[[[]],[[[]],[]]],[]]=>[[],[[[],[[]]],[[]]]]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[]],[[[]],[]],[]]]=>[[[],[[],[[]]],[[]]]]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[[]],[[[]],[],[]]]]=>[[[[],[],[[]]],[[]]]]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[[]],[[[]],[[]]]]]=>[[[[[]],[[]]],[[]]]]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[[]],[[[],[]]],[]]]=>[[[],[[[],[]]],[[]]]]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[]]]]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[[]],[[[],[[]]]]]]=>[[[[[[]],[]]],[[]]]]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[[]],[[[[]]]],[]]]=>[[[],[[[[]]]],[[]]]]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[[]],[[[[]]],[]]]]=>[[[[],[[[]]]],[[]]]]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[[]],[[[[]],[]]]]]=>[[[[[],[[]]]],[[]]]]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[[]],[[[[],[]]]]]]=>[[[[[[],[]]]],[[]]]]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[[]],[[[[[]]]]]]]=>[[[[[[[]]]]],[[]]]]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[[],[]]],[],[],[],[]]=>[[],[],[],[],[[[],[]]]]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[[],[]]],[],[],[[]]]=>[[[]],[],[],[[[],[]]]]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[[],[]]],[],[[[]]]]=>[[[[]]],[],[[[],[]]]]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[[],[]]],[[],[[]]]]=>[[[[]],[]],[[[],[]]]]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[[],[]]],[[[]],[]]]=>[[[],[[]]],[[[],[]]]]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[[],[]]],[[[[]]]]]=>[[[[[]]]],[[[],[]]]]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[[],[]],[],[[]]],[]]=>[[],[[[]],[],[[],[]]]]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[[],[]],[[],[[]]]]]=>[[[[[]],[]],[[],[]]]]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[[],[]],[[[]]]],[]]=>[[],[[[[]]],[[],[]]]]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[[],[]],[[[],[]]]]]=>[[[[[],[]]],[[],[]]]]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[[],[]],[[[[]]]]]]=>[[[[[[]]]],[[],[]]]]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[[],[],[]]],[],[],[]]=>[[],[],[],[[[],[],[]]]]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[[],[],[]]],[],[[]]]=>[[[]],[],[[[],[],[]]]]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[[],[],[]],[],[],[]]]=>[[[],[],[],[[],[],[]]]]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[[],[],[]],[],[[]]]]=>[[[[]],[],[[],[],[]]]]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[[],[],[]],[[]],[]]]=>[[[],[[]],[[],[],[]]]]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[[],[],[],[]]],[],[]]=>[[],[],[[[],[],[],[]]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[[],[],[],[]],[],[]]]=>[[[],[],[[],[],[],[]]]]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[[],[],[],[],[]]],[]]=>[[],[[[],[],[],[],[]]]]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[]]]]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[[],[],[],[],[],[]]]]=>[[[[],[],[],[],[],[]]]]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[[],[],[],[],[[]]]]]=>[[[[[]],[],[],[],[]]]]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[[],[],[],[[]]]],[]]=>[[],[[[[]],[],[],[]]]]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[[[[],[],[],[[]]],[]]]=>[[[],[[[]],[],[],[]]]]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[[[[],[],[],[[]],[]]]]=>[[[[],[[]],[],[],[]]]]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[[[],[],[],[[],[]]]]]=>[[[[[],[]],[],[],[]]]]=>[.,[.,[[[[.,[[.,.],.]],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[[[],[],[],[[[]]]]]]=>[[[[[[]]],[],[],[]]]]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[[[],[],[[]]]],[],[]]=>[[],[],[[[[]],[],[]]]]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[[[[],[],[[]]]],[[]]]=>[[[]],[[[[]],[],[]]]]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[[[],[],[[]]],[]],[]]=>[[],[[],[[[]],[],[]]]]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[[[],[],[[]]],[],[]]]=>[[[],[],[[[]],[],[]]]]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[[],[],[[]]],[[]]]]=>[[[[]],[[[]],[],[]]]]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[[],[],[[]],[]]],[]]=>[[],[[[],[[]],[],[]]]]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[[[[],[],[[]],[]],[]]]=>[[[],[[],[[]],[],[]]]]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[[[],[],[[]],[],[]]]]=>[[[[],[],[[]],[],[]]]]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[[[],[],[[]],[[]]]]]=>[[[[[]],[[]],[],[]]]]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[[],[],[[],[]]]],[]]=>[[],[[[[],[]],[],[]]]]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[[],[],[[],[]]],[]]]=>[[[],[[[],[]],[],[]]]]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[[[[],[],[[],[]],[]]]]=>[[[[],[[],[]],[],[]]]]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[[[],[],[[],[],[]]]]]=>[[[[[],[],[]],[],[]]]]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[[[],[],[[],[[]]]]]]=>[[[[[[]],[]],[],[]]]]=>[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[[[[],[],[[[]]]]],[]]=>[[],[[[[[]]],[],[]]]]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[[[],[],[[[]]]],[]]]=>[[[],[[[[]]],[],[]]]]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[[],[],[[[]]],[]]]]=>[[[[],[[[]]],[],[]]]]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[[[[],[],[[[]],[]]]]]=>[[[[[],[[]]],[],[]]]]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[[[],[],[[[],[]]]]]]=>[[[[[[],[]]],[],[]]]]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[[[],[],[[[[]]]]]]]=>[[[[[[[]]]],[],[]]]]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[[],[[]]]],[],[[]]]=>[[[]],[],[[[[]],[]]]]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[[],[[]]]],[[]],[]]=>[[],[[]],[[[[]],[]]]]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[[],[[]]]],[[],[]]]=>[[[],[]],[[[[]],[]]]]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[[],[[]]]],[[[]]]]=>[[[[]]],[[[[]],[]]]]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[[],[[]]],[]],[[]]]=>[[[]],[[],[[[]],[]]]]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[[],[[]]],[],[]],[]]=>[[],[[],[],[[[]],[]]]]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[[],[[]]],[],[[]]]]=>[[[[]],[],[[[]],[]]]]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[[],[[]]],[[]]],[]]=>[[],[[[]],[[[]],[]]]]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[[],[[]]],[[]],[]]]=>[[[],[[]],[[[]],[]]]]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[[],[[]]],[[],[]]]]=>[[[[],[]],[[[]],[]]]]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[[],[[]],[]]],[],[]]=>[[],[],[[[],[[]],[]]]]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[[],[[]],[]]],[[]]]=>[[[]],[[[],[[]],[]]]]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[[],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[]]]]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[[],[[]],[]],[],[]]]=>[[[],[],[[],[[]],[]]]]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[[],[[]],[]],[[]]]]=>[[[[]],[[],[[]],[]]]]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[[],[[]],[],[]]],[]]=>[[],[[[],[],[[]],[]]]]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[[],[[]],[],[],[]]]]=>[[[[],[],[],[[]],[]]]]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[[],[[]],[],[[]]]]]=>[[[[[]],[],[[]],[]]]]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[[],[[]],[[]]]],[]]=>[[],[[[[]],[[]],[]]]]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[[],[[]],[[]]],[]]]=>[[[],[[[]],[[]],[]]]]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[[],[[]],[[]],[]]]]=>[[[[],[[]],[[]],[]]]]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[[],[[]],[[],[]]]]]=>[[[[[],[]],[[]],[]]]]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[[],[[]],[[[]]]]]]=>[[[[[[]]],[[]],[]]]]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[],[[],[]]]],[],[]]=>[[],[],[[[[],[]],[]]]]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[[],[[],[]]]],[[]]]=>[[[]],[[[[],[]],[]]]]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[[],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[]]]]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[],[[],[]]],[],[]]]=>[[[],[],[[[],[]],[]]]]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[[],[[],[]]],[[]]]]=>[[[[]],[[[],[]],[]]]]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[[],[[],[]],[]]],[]]=>[[],[[[],[[],[]],[]]]]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[[],[[],[]],[]],[]]]=>[[[],[[],[[],[]],[]]]]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[[],[[],[]],[],[]]]]=>[[[[],[],[[],[]],[]]]]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[[],[[],[]],[[]]]]]=>[[[[[]],[[],[]],[]]]]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[[],[[],[],[]]]],[]]=>[[],[[[[],[],[]],[]]]]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[[],[[],[],[]]],[]]]=>[[[],[[[],[],[]],[]]]]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[[],[[],[],[]],[]]]]=>[[[[],[[],[],[]],[]]]]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[[],[[],[],[],[]]]]]=>[[[[[],[],[],[]],[]]]]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[[],[[],[],[[]]]]]]=>[[[[[[]],[],[]],[]]]]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[[],[[],[[]]]]],[]]=>[[],[[[[[]],[]],[]]]]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[[],[[],[[]]]],[]]]=>[[[],[[[[]],[]],[]]]]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[[],[[],[[]]],[]]]]=>[[[[],[[[]],[]],[]]]]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[[],[[],[[]],[]]]]]=>[[[[[],[[]],[]],[]]]]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]]]]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[[[[],[[],[[[]]]]]]]=>[[[[[[[]]],[]],[]]]]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[[[[],[[[]]]]],[],[]]=>[[],[],[[[[[]]],[]]]]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[[[[],[[[]]]]],[[]]]=>[[[]],[[[[[]]],[]]]]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[[[[],[[[]]]],[]],[]]=>[[],[[],[[[[]]],[]]]]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[[[],[[[]]]],[],[]]]=>[[[],[],[[[[]]],[]]]]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[[[[],[[[]]]],[[]]]]=>[[[[]],[[[[]]],[]]]]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[[],[[[]]],[]]],[]]=>[[],[[[],[[[]]],[]]]]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[[[[],[[[]]],[]],[]]]=>[[[],[[],[[[]]],[]]]]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[[[[],[[[]]],[],[]]]]=>[[[[],[],[[[]]],[]]]]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[[[],[[[]]],[[]]]]]=>[[[[[]],[[[]]],[]]]]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[[[],[[[]],[]]]],[]]=>[[],[[[[],[[]]],[]]]]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[[],[[[]],[]]],[]]]=>[[[],[[[],[[]]],[]]]]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[[],[[[]],[]],[]]]]=>[[[[],[[],[[]]],[]]]]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[[[],[[[]],[],[]]]]]=>[[[[[],[],[[]]],[]]]]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[[[[],[[[]],[[]]]]]]=>[[[[[[]],[[]]],[]]]]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[[[[],[[[],[]]]]],[]]=>[[],[[[[[],[]]],[]]]]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[[],[[[],[]]]],[]]]=>[[[],[[[[],[]]],[]]]]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[[[],[[[],[]]],[]]]]=>[[[[],[[[],[]]],[]]]]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]]]]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[[[],[[[],[],[]]]]]]=>[[[[[[],[],[]]],[]]]]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[[[],[[[],[[]]]]]]]=>[[[[[[[]],[]]],[]]]]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[[[[],[[[[]]]]]],[]]=>[[],[[[[[[]]]],[]]]]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[[],[[[[]]]]],[]]]=>[[[],[[[[[]]]],[]]]]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[[[],[[[[]]]],[]]]]=>[[[[],[[[[]]]],[]]]]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[[[[],[[[[]]],[]]]]]=>[[[[[],[[[]]]],[]]]]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[[[[],[[[[]],[]]]]]]=>[[[[[[],[[]]]],[]]]]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[[[[],[[[[],[]]]]]]]=>[[[[[[[],[]]]],[]]]]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[[[],[[[[[]]]]]]]]=>[[[[[[[[]]]]],[]]]]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[[[[]]]],[],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[[[[[]]]],[],[],[[]]]=>[[[]],[],[],[[[[]]]]]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[[[[[]]]],[],[[[]]]]=>[[[[]]],[],[[[[]]]]]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[[[[]]]],[[[],[]]]]=>[[[[],[]]],[[[[]]]]]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[[[[]]]],[[[[]]]]]=>[[[[[]]]],[[[[]]]]]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[[[[[]]],[],[],[]],[]]=>[[],[[],[],[],[[[]]]]]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[[[[]]],[],[],[],[]]]=>[[[],[],[],[],[[[]]]]]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[[[[[]]],[],[],[[]]]]=>[[[[]],[],[],[[[]]]]]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[[[[]]],[],[[]],[]]]=>[[[],[[]],[],[[[]]]]]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[[[[]]],[],[[],[]]]]=>[[[[],[]],[],[[[]]]]]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[[[[[]]],[],[[[]]]]]=>[[[[[]]],[],[[[]]]]]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[[[[[]]],[[]],[]],[]]=>[[],[[],[[]],[[[]]]]]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[[[[]]],[[]],[[]]]]=>[[[[]],[[]],[[[]]]]]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[[[[]]],[[],[]]],[]]=>[[],[[[],[]],[[[]]]]]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[[[[]]],[[],[]],[]]]=>[[[],[[],[]],[[[]]]]]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[[[[]]],[[],[[]]]]]=>[[[[[]],[]],[[[]]]]]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[[[[]]],[[[]]],[]]]=>[[[],[[[]]],[[[]]]]]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[[[[[]]],[[[]],[]]]]=>[[[[],[[]]],[[[]]]]]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[[[[[]]],[[[],[]]]]]=>[[[[[],[]]],[[[]]]]]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[[[[[]]],[[[[]]]]]]=>[[[[[[]]]],[[[]]]]]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[[[[]],[]]],[],[[]]]=>[[[]],[],[[[],[[]]]]]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[[[[]],[]]],[[],[]]]=>[[[],[]],[[[],[[]]]]]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[[]],[]],[]],[[]]]=>[[[]],[[],[[],[[]]]]]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[[[[]],[]],[],[[]]]]=>[[[[]],[],[[],[[]]]]]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[[[[[]],[]],[[]]],[]]=>[[],[[[]],[[],[[]]]]]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[[]],[]],[[]],[]]]=>[[[],[[]],[[],[[]]]]]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[[[[]],[]],[[],[]]]]=>[[[[],[]],[[],[[]]]]]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[[[[[]],[]],[[[]]]]]=>[[[[[]]],[[],[[]]]]]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[[[[]],[],[]]],[[]]]=>[[[]],[[[],[],[[]]]]]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[[[[[]],[],[]],[],[]]]=>[[[],[],[[],[],[[]]]]]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[[[[[]],[],[],[]]],[]]=>[[],[[[],[],[],[[]]]]]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[[[[[]],[],[],[]],[]]]=>[[[],[[],[],[],[[]]]]]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[[[[]],[],[],[],[]]]]=>[[[[],[],[],[],[[]]]]]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[[[[[]],[],[],[[]]]]]=>[[[[[]],[],[],[[]]]]]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[[[[]],[],[[]]]],[]]=>[[],[[[[]],[],[[]]]]]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[[[[]],[],[[]]],[]]]=>[[[],[[[]],[],[[]]]]]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[[[[]],[],[[]],[]]]]=>[[[[],[[]],[],[[]]]]]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[[[[[]],[],[[],[]]]]]=>[[[[[],[]],[],[[]]]]]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[[[[[]],[],[[[]]]]]]=>[[[[[[]]],[],[[]]]]]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[[[[]],[[]]]],[[]]]=>[[[]],[[[[]],[[]]]]]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[[[[[]],[[]]],[],[]]]=>[[[],[],[[[]],[[]]]]]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[[[[]],[[]]],[[]]]]=>[[[[]],[[[]],[[]]]]]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[[[[[]],[[]],[]]],[]]=>[[],[[[],[[]],[[]]]]]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[[]],[[]],[]],[]]]=>[[[],[[],[[]],[[]]]]]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[[[[[]],[[]],[],[]]]]=>[[[[],[],[[]],[[]]]]]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[[[[]],[[]],[[]]]]]=>[[[[[]],[[]],[[]]]]]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[[[[]],[[],[]]]],[]]=>[[],[[[[],[]],[[]]]]]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] 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[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[[[[[],[[[]]]],[]]]]=>[[[[],[[[[]]],[]]]]]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[[[[[],[[[]]],[]]]]]=>[[[[[],[[[]]],[]]]]]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[[[[[],[[[]],[]]]]]]=>[[[[[[],[[]]],[]]]]]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[[[[],[[[],[]]]]]]]=>[[[[[[[],[]]],[]]]]]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[[[[],[[[[]]]]]]]]=>[[[[[[[[]]]],[]]]]]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[[[[[[]]]]],[],[[]]]=>[[[]],[],[[[[[]]]]]]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[[[[[[]]]]],[[],[]]]=>[[[],[]],[[[[[]]]]]]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[[[[[]]]]],[[[]]]]=>[[[[]]],[[[[[]]]]]]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[[[[[]]]],[],[],[]]]=>[[[],[],[],[[[[]]]]]]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[[[[[]]]],[],[[]]]]=>[[[[]],[],[[[[]]]]]]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[[[[[[]]]],[[]]],[]]=>[[],[[[]],[[[[]]]]]]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[[[[[[]]]],[[]],[]]]=>[[[],[[]],[[[[]]]]]]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[[[[]]]],[[],[]]]]=>[[[[],[]],[[[[]]]]]]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[[[[[]]],[]],[],[]]]=>[[[],[],[[],[[[]]]]]]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[[[[[]]],[],[]]],[]]=>[[],[[[],[],[[[]]]]]]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[[[[[[]]],[],[]],[]]]=>[[[],[[],[],[[[]]]]]]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[[[[[]]],[],[],[]]]]=>[[[[],[],[],[[[]]]]]]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[[[[[]]],[],[[]]]]]=>[[[[[]],[],[[[]]]]]]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[[[[[[]]],[[]]],[]]]=>[[[],[[[]],[[[]]]]]]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[[[[[]]],[[]],[]]]]=>[[[[],[[]],[[[]]]]]]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[[[[]]],[[],[]]]]]=>[[[[[],[]],[[[]]]]]]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[[[[[]]],[[[]]]]]]=>[[[[[[]]],[[[]]]]]]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[[[[]],[]]]],[],[]]=>[[],[],[[[[],[[]]]]]]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[[[[[]],[]]],[]],[]]=>[[],[[],[[[],[[]]]]]]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[[[[[[]],[]]],[],[]]]=>[[[],[],[[[],[[]]]]]]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[[[[[]],[]],[]]],[]]=>[[],[[[],[[],[[]]]]]]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[[[]],[]],[]],[]]]=>[[[],[[],[[],[[]]]]]]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[[[[[]],[]],[],[]]]]=>[[[[],[],[[],[[]]]]]]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[[[[[]],[]],[[]]]]]=>[[[[[]],[[],[[]]]]]]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[[[[[]],[],[]]]],[]]=>[[],[[[[],[],[[]]]]]]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[[[[[]],[],[]]],[]]]=>[[[],[[[],[],[[]]]]]]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[[[[[]],[],[]],[]]]]=>[[[[],[[],[],[[]]]]]]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[[[[[]],[],[],[]]]]]=>[[[[[],[],[],[[]]]]]]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[[[[[]],[],[[]]]]]]=>[[[[[[]],[],[[]]]]]]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[[[[[[]],[[]]]],[]]]=>[[[],[[[[]],[[]]]]]]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[[[]],[[]]],[]]]]=>[[[[],[[[]],[[]]]]]]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[[[[[[]],[[]],[]]]]]=>[[[[[],[[]],[[]]]]]]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[[[[]],[[],[]]]]]]=>[[[[[[],[]],[[]]]]]]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[[[[[[]],[[[]]]]]]]=>[[[[[[[]]],[[]]]]]]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[[[[[],[]]]]],[],[]]=>[[],[],[[[[[],[]]]]]]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[[[[[],[]]]]],[[]]]=>[[[]],[[[[[],[]]]]]]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[[[[[],[]]]],[]],[]]=>[[],[[],[[[[],[]]]]]]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[[[[[],[]]]],[],[]]]=>[[[],[],[[[[],[]]]]]]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[[[[[],[]]]],[[]]]]=>[[[[]],[[[[],[]]]]]]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[[[[[],[]]],[]]],[]]=>[[],[[[],[[[],[]]]]]]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[[[[[],[]]],[]],[]]]=>[[[],[[],[[[],[]]]]]]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[[[[[[],[]]],[],[]]]]=>[[[[],[],[[[],[]]]]]]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[[[[[[],[]]],[[]]]]]=>[[[[[]],[[[],[]]]]]]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[[[[[],[]],[]]]],[]]=>[[],[[[[],[[],[]]]]]]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[[[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]]]]]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]]]]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[[[[[[],[]],[],[]]]]]=>[[[[[],[],[[],[]]]]]]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[[[[[],[]],[[]]]]]]=>[[[[[[]],[[],[]]]]]]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[[[[[],[],[]]]]],[]]=>[[],[[[[[],[],[]]]]]]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[[[[[[],[],[]]]],[]]]=>[[[],[[[[],[],[]]]]]]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[[[[[],[],[]]],[]]]]=>[[[[],[[[],[],[]]]]]]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[[[[[],[],[]],[]]]]]=>[[[[[],[[],[],[]]]]]]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[[[[[],[],[],[]]]]]]=>[[[[[[],[],[],[]]]]]]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[[[[[],[],[[]]]]]]]=>[[[[[[[]],[],[]]]]]]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[[[[[],[[]]]]]],[]]=>[[],[[[[[[]],[]]]]]]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[[[[[],[[]]]]],[]]]=>[[[],[[[[[]],[]]]]]]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[[[[[[],[[]]]],[]]]]=>[[[[],[[[[]],[]]]]]]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[[[[[],[[]]],[]]]]]=>[[[[[],[[[]],[]]]]]]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[[[[[],[[]],[]]]]]]=>[[[[[[],[[]],[]]]]]]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[[[[[],[[],[]]]]]]]=>[[[[[[[],[]],[]]]]]]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[[[[[],[[[]]]]]]]]=>[[[[[[[[]]],[]]]]]]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[[[[[[]]]]]],[[]]]=>[[[]],[[[[[[]]]]]]]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[[[[[[]]]]],[[]]]]=>[[[[]],[[[[[]]]]]]]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[[[[[[]]]],[],[]]]]=>[[[[],[],[[[[]]]]]]]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[[[[[[]]]],[[]]]]]=>[[[[[]],[[[[]]]]]]]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[[[[[[[]]],[]]],[]]]=>[[[],[[[],[[[]]]]]]]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[[[[[[[]]],[]],[]]]]=>[[[[],[[],[[[]]]]]]]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[[[[[[]]],[],[]]]]]=>[[[[[],[],[[[]]]]]]]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[[[[[[]]],[[]]]]]]=>[[[[[[]],[[[]]]]]]]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[[[[[[[]],[]]]]],[]]=>[[],[[[[[],[[]]]]]]]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[[[[[[[]],[]]]],[]]]=>[[[],[[[[],[[]]]]]]]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[[[[[[]],[]]],[]]]]=>[[[[],[[[],[[]]]]]]]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[[[[[[]],[]],[]]]]]=>[[[[[],[[],[[]]]]]]]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[[[[[[]],[],[]]]]]]=>[[[[[[],[],[[]]]]]]]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[[[[[[]],[[]]]]]]]=>[[[[[[[]],[[]]]]]]]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[[[[[[],[]]]]]],[]]=>[[],[[[[[[],[]]]]]]]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[[[[[[],[]]]]],[]]]=>[[[],[[[[[],[]]]]]]]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[[[[[],[]]]],[]]]]=>[[[[],[[[[],[]]]]]]]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[[[[[],[]]],[]]]]]=>[[[[[],[[[],[]]]]]]]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[[[[[[],[]],[]]]]]]=>[[[[[[],[[],[]]]]]]]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[[[[[[],[],[]]]]]]]=>[[[[[[[],[],[]]]]]]]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[[[[[[],[[]]]]]]]]=>[[[[[[[[]],[]]]]]]]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[[[[[[[]]]]],[]]]]=>[[[[],[[[[[]]]]]]]]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[[[[[[[]]]],[]]]]]=>[[[[[],[[[[]]]]]]]]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[[[[[[[]]],[]]]]]]=>[[[[[[],[[[]]]]]]]]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[[[[[[[]],[]]]]]]]=>[[[[[[[],[[]]]]]]]]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[[[[[[[],[]]]]]]]]=>[[[[[[[[],[]]]]]]]]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
Map
to ordered tree
Description
Sends a Dyck path to the ordered tree encoding the heights of the path.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
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 $t$.