Identifier
Mp00026: Dyck paths to ordered treeOrdered trees
Mp00049: Ordered trees to binary tree: left brother = left child Binary trees
Images
=>
Cc0005;cc-rep-0Cc0021;cc-rep-1Cc0010;cc-rep-2
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[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[],[],[[],[[[]]]],[]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[],[],[[],[[[]]],[]]]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[],[],[[],[[[]],[]]]]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[],[],[[],[[[],[]]]]]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[],[],[[],[[[[]]]]]]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[],[],[[[]]],[],[],[]]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[],[],[[[]]],[],[[]]]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[],[],[[[]]],[[]],[]]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[],[],[[[]]],[[],[]]]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[],[],[[[]]],[[[]]]]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[],[],[[[]],[]],[],[]]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[],[],[[[]],[]],[[]]]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[],[],[[[]],[],[]],[]]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[],[],[[[]],[],[],[]]]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[],[],[[[]],[],[[]]]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[],[],[[[]],[[]]],[]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[],[],[[[]],[[]],[]]]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[],[],[[[]],[[],[]]]]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[],[],[[[]],[[[]]]]]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[],[],[[[],[]]],[],[]]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[],[],[[[],[]]],[[]]]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[],[],[[[],[]],[]],[]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[],[],[[[],[]],[],[]]]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[],[],[[[],[]],[[]]]]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[],[],[[[],[],[]]],[]]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[],[],[[[],[],[]],[]]]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[],[],[[[],[],[],[]]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[],[],[[[],[],[[]]]]]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[],[],[[[],[[]]]],[]]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[],[],[[[],[[]]],[]]]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[],[],[[[],[[]],[]]]]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[],[],[[[],[[],[]]]]]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[],[],[[[],[[[]]]]]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[],[],[[[[]]]],[],[]]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[],[],[[[[]]]],[[]]]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[],[],[[[[]]],[]],[]]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[],[],[[[[]]],[],[]]]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[],[],[[[[]]],[[]]]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[],[],[[[[]],[]]],[]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[],[],[[[[]],[]],[]]]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[],[],[[[[]],[],[]]]]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[],[],[[[[]],[[]]]]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[],[],[[[[],[]]]],[]]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[],[],[[[[],[]]],[]]]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[],[],[[[[],[]],[]]]]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[],[],[[[[],[],[]]]]]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[],[],[[[[],[[]]]]]]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[],[],[[[[[]]]]],[]]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[],[],[[[[[]]]],[]]]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[],[],[[[[[]]],[]]]]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[],[],[[[[[]],[]]]]]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[],[],[[[[[],[]]]]]]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[],[],[[[[[[]]]]]]]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[],[[]],[],[],[],[],[]]=>[[[[[[[.,.],[.,.]],.],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[],[[]],[],[],[],[[]]]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[],[[]],[],[],[[]],[]]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[],[[]],[],[],[[],[]]]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[],[[]],[],[],[[[]]]]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[],[[]],[],[[]],[],[]]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[],[[]],[],[[]],[[]]]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[],[[]],[],[[],[]],[]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[],[[]],[],[[],[],[]]]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[],[[]],[],[[],[[]]]]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[],[[]],[],[[[]]],[]]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[],[[]],[],[[[]],[]]]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[],[[]],[],[[[],[]]]]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[],[[]],[],[[[[]]]]]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[],[[]],[[]],[],[],[]]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[],[[]],[[]],[],[[]]]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[],[[]],[[]],[[]],[]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[],[[]],[[]],[[],[]]]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[],[[]],[[]],[[[]]]]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[],[[]],[[],[]],[],[]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[],[[]],[[],[]],[[]]]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[],[[]],[[],[],[]],[]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[],[[]],[[],[],[],[]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[],[[]],[[],[],[[]]]]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[],[[]],[[],[[]]],[]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[],[[]],[[],[[]],[]]]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[],[[]],[[],[[],[]]]]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[],[[]],[[],[[[]]]]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[],[[]],[[[]]],[],[]]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[],[[]],[[[]]],[[]]]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[],[[]],[[[]],[]],[]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[],[[]],[[[]],[],[]]]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[],[[]],[[[]],[[]]]]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[],[[]],[[[],[]]],[]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[],[[]],[[[],[]],[]]]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[],[[]],[[[],[],[]]]]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[],[[]],[[[],[[]]]]]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[],[[]],[[[[]]]],[]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[],[[]],[[[[]]],[]]]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[],[[]],[[[[]],[]]]]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[],[[]],[[[[],[]]]]]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[],[[]],[[[[[]]]]]]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[],[[],[]],[],[],[],[]]=>[[[[[[.,.],[[.,.],.]],.],.],.],.] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[],[[],[]],[],[],[[]]]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[],[[],[]],[],[[]],[]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[],[[],[]],[],[[],[]]]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[],[[],[]],[],[[[]]]]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[],[[],[]],[[]],[],[]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[],[[],[]],[[]],[[]]]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[],[[],[]],[[],[]],[]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[],[[],[]],[[],[],[]]]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[],[[],[]],[[],[[]]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[],[[],[]],[[[]]],[]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[],[[],[]],[[[]],[]]]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[],[[],[]],[[[],[]]]]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[],[[],[]],[[[[]]]]]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[],[[],[],[]],[],[],[]]=>[[[[[.,.],[[[.,.],.],.]],.],.],.] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[],[[],[],[]],[],[[]]]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[],[[],[],[]],[[]],[]]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[],[[],[],[]],[[],[]]]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[],[[],[],[]],[[[]]]]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[],[[],[],[],[]],[],[]]=>[[[[.,.],[[[[.,.],.],.],.]],.],.] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[],[[],[],[],[]],[[]]]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[],[[],[],[],[],[]],[]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[],[[],[],[],[],[],[]]]=>[[.,.],[[[[[[.,.],.],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[],[[],[],[],[],[[]]]]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[],[[],[],[],[[]]],[]]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[],[[],[],[],[[]],[]]]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[],[[],[],[],[[],[]]]]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[],[[],[],[],[[[]]]]]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[],[[],[],[[]]],[],[]]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[],[[],[],[[]]],[[]]]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[],[[],[],[[]],[]],[]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[],[[],[],[[]],[],[]]]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[],[[],[],[[]],[[]]]]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[],[[],[],[[],[]]],[]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[],[[],[],[[],[]],[]]]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[],[[],[],[[],[],[]]]]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[],[[],[],[[],[[]]]]]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[],[[],[],[[[]]]],[]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[],[[],[],[[[]]],[]]]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[],[[],[],[[[]],[]]]]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[],[[],[],[[[],[]]]]]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[],[[],[],[[[[]]]]]]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[],[[],[[]]],[],[],[]]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[],[[],[[]]],[],[[]]]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[],[[],[[]]],[[]],[]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[],[[],[[]]],[[],[]]]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[],[[],[[]]],[[[]]]]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[],[[],[[]],[]],[],[]]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[],[[],[[]],[]],[[]]]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[],[[],[[]],[],[]],[]]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[],[[],[[]],[],[],[]]]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[],[[],[[]],[],[[]]]]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[],[[],[[]],[[]]],[]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[],[[],[[]],[[]],[]]]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[],[[],[[]],[[],[]]]]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[],[[],[[]],[[[]]]]]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[],[[],[[],[]]],[],[]]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[],[[],[[],[]]],[[]]]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[],[[],[[],[]],[]],[]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[],[[],[[],[]],[],[]]]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[],[[],[[],[]],[[]]]]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[],[[],[[],[],[]]],[]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[],[[],[[],[],[]],[]]]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[],[[],[[],[],[],[]]]]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[],[[],[[],[],[[]]]]]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[],[[],[[],[[]]]],[]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[],[[],[[],[[]]],[]]]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[],[[],[[],[[]],[]]]]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[],[[],[[],[[],[]]]]]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[],[[],[[],[[[]]]]]]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[],[[],[[[]]]],[],[]]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[],[[],[[[]]]],[[]]]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[],[[],[[[]]],[]],[]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[],[[],[[[]]],[],[]]]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[],[[],[[[]]],[[]]]]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[],[[],[[[]],[]]],[]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[],[[],[[[]],[]],[]]]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[],[[],[[[]],[],[]]]]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[],[[],[[[]],[[]]]]]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[],[[],[[[],[]]]],[]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[],[[],[[[],[]]],[]]]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[],[[],[[[],[]],[]]]]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[],[[],[[[],[],[]]]]]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[],[[],[[[],[[]]]]]]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[],[[],[[[[]]]]],[]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[],[[],[[[[]]]],[]]]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[],[[],[[[[]]],[]]]]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[],[[],[[[[]],[]]]]]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[],[[],[[[[],[]]]]]]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[],[[],[[[[[]]]]]]]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[],[[[]]],[],[],[],[]]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[],[[[]]],[],[],[[]]]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[],[[[]]],[],[[]],[]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[],[[[]]],[],[[],[]]]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[],[[[]]],[],[[[]]]]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[],[[[]]],[[]],[],[]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[],[[[]]],[[]],[[]]]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[],[[[]]],[[],[]],[]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[],[[[]]],[[],[],[]]]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[],[[[]]],[[],[[]]]]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[],[[[]]],[[[]]],[]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[],[[[]]],[[[]],[]]]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[],[[[]]],[[[],[]]]]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[],[[[]]],[[[[]]]]]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[],[[[]],[]],[],[],[]]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[],[[[]],[]],[],[[]]]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[],[[[]],[]],[[]],[]]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[],[[[]],[]],[[],[]]]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[],[[[]],[]],[[[]]]]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[],[[[]],[],[]],[],[]]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[],[[[]],[],[]],[[]]]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[],[[[]],[],[],[]],[]]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[],[[[]],[],[],[],[]]]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[],[[[]],[],[],[[]]]]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[],[[[]],[],[[]]],[]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[],[[[]],[],[[]],[]]]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[],[[[]],[],[[],[]]]]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[],[[[]],[],[[[]]]]]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[],[[[]],[[]]],[],[]]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[],[[[]],[[]]],[[]]]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[],[[[]],[[]],[]],[]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[],[[[]],[[]],[],[]]]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[],[[[]],[[]],[[]]]]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[],[[[]],[[],[]]],[]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[],[[[]],[[],[]],[]]]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[],[[[]],[[],[],[]]]]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[],[[[]],[[],[[]]]]]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[],[[[]],[[[]]]],[]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[],[[[]],[[[]]],[]]]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[],[[[]],[[[]],[]]]]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[],[[[]],[[[],[]]]]]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[],[[[]],[[[[]]]]]]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[],[[[],[]]],[],[],[]]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[],[[[],[]]],[],[[]]]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[],[[[],[]]],[[]],[]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[],[[[],[]]],[[],[]]]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[],[[[],[]]],[[[]]]]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[],[[[],[]],[]],[],[]]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[],[[[],[]],[]],[[]]]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[],[[[],[]],[],[]],[]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[],[[[],[]],[],[],[]]]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[],[[[],[]],[],[[]]]]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[],[[[],[]],[[]]],[]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[],[[[],[]],[[]],[]]]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[],[[[],[]],[[],[]]]]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[],[[[],[]],[[[]]]]]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[],[[[],[],[]]],[],[]]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[],[[[],[],[]]],[[]]]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[],[[[],[],[]],[]],[]]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[],[[[],[],[]],[],[]]]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[],[[[],[],[]],[[]]]]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[],[[[],[],[],[]]],[]]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[],[[[],[],[],[]],[]]]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[],[[[],[],[],[],[]]]]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[],[[[],[],[],[[]]]]]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[],[[[],[],[[]]]],[]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[],[[[],[],[[]]],[]]]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[],[[[],[],[[]],[]]]]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[],[[[],[],[[],[]]]]]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[],[[[],[],[[[]]]]]]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[],[[[],[[]]]],[],[]]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[],[[[],[[]]]],[[]]]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[],[[[],[[]]],[]],[]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[],[[[],[[]]],[],[]]]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[],[[[],[[]]],[[]]]]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[],[[[],[[]],[]]],[]]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[],[[[],[[]],[]],[]]]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[],[[[],[[]],[],[]]]]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[],[[[],[[]],[[]]]]]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[],[[[],[[],[]]]],[]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[],[[[],[[],[]]],[]]]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[],[[[],[[],[]],[]]]]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[],[[[],[[],[],[]]]]]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[],[[[],[[],[[]]]]]]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[],[[[],[[[]]]]],[]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[],[[[],[[[]]]],[]]]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[],[[[],[[[]]],[]]]]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[],[[[],[[[]],[]]]]]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[],[[[],[[[],[]]]]]]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[],[[[],[[[[]]]]]]]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[],[[[[]]]],[],[],[]]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[],[[[[]]]],[],[[]]]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[],[[[[]]]],[[]],[]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[],[[[[]]]],[[],[]]]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[],[[[[]]]],[[[]]]]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[],[[[[]]],[]],[],[]]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[],[[[[]]],[]],[[]]]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[],[[[[]]],[],[]],[]]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[],[[[[]]],[],[],[]]]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[],[[[[]]],[],[[]]]]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[],[[[[]]],[[]]],[]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[],[[[[]]],[[]],[]]]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[],[[[[]]],[[],[]]]]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[],[[[[]]],[[[]]]]]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[],[[[[]],[]]],[],[]]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[],[[[[]],[]]],[[]]]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[],[[[[]],[]],[]],[]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[],[[[[]],[]],[],[]]]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[],[[[[]],[]],[[]]]]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[],[[[[]],[],[]]],[]]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[],[[[[]],[],[]],[]]]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[],[[[[]],[],[],[]]]]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[],[[[[]],[],[[]]]]]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[],[[[[]],[[]]]],[]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[],[[[[]],[[]]],[]]]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[],[[[[]],[[]],[]]]]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[],[[[[]],[[],[]]]]]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[],[[[[]],[[[]]]]]]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[],[[[[],[]]]],[],[]]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[],[[[[],[]]]],[[]]]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[],[[[[],[]]],[]],[]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[],[[[[],[]]],[],[]]]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[],[[[[],[]]],[[]]]]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[],[[[[],[]],[]]],[]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[],[[[[],[]],[]],[]]]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[],[[[[],[]],[],[]]]]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[],[[[[],[]],[[]]]]]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[],[[[[],[],[]]]],[]]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[],[[[[],[],[]]],[]]]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[],[[[[],[],[]],[]]]]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[],[[[[],[],[],[]]]]]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[],[[[[],[],[[]]]]]]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[],[[[[],[[]]]]],[]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[],[[[[],[[]]]],[]]]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[],[[[[],[[]]],[]]]]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[],[[[[],[[]],[]]]]]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[],[[[[],[[],[]]]]]]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[],[[[[],[[[]]]]]]]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[],[[[[[]]]]],[],[]]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[],[[[[[]]]]],[[]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[],[[[[[]]]],[]],[]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[],[[[[[]]]],[],[]]]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[],[[[[[]]]],[[]]]]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[],[[[[[]]],[]]],[]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[],[[[[[]]],[]],[]]]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[],[[[[[]]],[],[]]]]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[],[[[[[]]],[[]]]]]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[],[[[[[]],[]]]],[]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[],[[[[[]],[]]],[]]]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[],[[[[[]],[]],[]]]]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[],[[[[[]],[],[]]]]]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[],[[[[[]],[[]]]]]]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[],[[[[[],[]]]]],[]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[],[[[[[],[]]]],[]]]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[],[[[[[],[]]],[]]]]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[],[[[[[],[]],[]]]]]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[],[[[[[],[],[]]]]]]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[],[[[[[],[[]]]]]]]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[],[[[[[[]]]]]],[]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[],[[[[[[]]]]],[]]]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[],[[[[[[]]]],[]]]]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[],[[[[[[]]],[]]]]]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[],[[[[[[]],[]]]]]]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[],[[[[[[],[]]]]]]]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[],[[[[[[[]]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[[]],[],[],[],[],[],[]]=>[[[[[[[.,[.,.]],.],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[[]],[],[],[],[],[[]]]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[[]],[],[],[],[[]],[]]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[[]],[],[],[],[[],[]]]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[[]],[],[],[],[[[]]]]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[[]],[],[],[[]],[],[]]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[[]],[],[],[[]],[[]]]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[[]],[],[],[[],[]],[]]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[[]],[],[],[[],[],[]]]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[[]],[],[],[[],[[]]]]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[[]],[],[],[[[]]],[]]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[[]],[],[],[[[]],[]]]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[[]],[],[],[[[],[]]]]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[[]],[],[],[[[[]]]]]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[[]],[],[[]],[],[],[]]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[[]],[],[[]],[],[[]]]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[[]],[],[[]],[[]],[]]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[[]],[],[[]],[[],[]]]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[[]],[],[[]],[[[]]]]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[[]],[],[[],[]],[],[]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[[]],[],[[],[]],[[]]]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[[]],[],[[],[],[]],[]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[[]],[],[[],[],[],[]]]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[[]],[],[[],[],[[]]]]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[[]],[],[[],[[]]],[]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[[]],[],[[],[[]],[]]]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[[]],[],[[],[[],[]]]]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[[]],[],[[],[[[]]]]]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[[]],[],[[[]]],[],[]]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[[]],[],[[[]]],[[]]]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[[]],[],[[[]],[]],[]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[[]],[],[[[]],[],[]]]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[[]],[],[[[]],[[]]]]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[[]],[],[[[],[]]],[]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[[]],[],[[[],[]],[]]]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[[]],[],[[[],[],[]]]]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[[]],[],[[[],[[]]]]]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[[]],[],[[[[]]]],[]]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[[]],[],[[[[]]],[]]]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[[]],[],[[[[]],[]]]]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[[]],[],[[[[],[]]]]]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[[]],[],[[[[[]]]]]]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[[]],[[]],[],[],[],[]]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[[]],[[]],[],[],[[]]]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[[]],[[]],[],[[]],[]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[[]],[[]],[],[[],[]]]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[[]],[[]],[],[[[]]]]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[[]],[[]],[[]],[],[]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[[]],[[]],[[]],[[]]]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[[]],[[]],[[],[]],[]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[[]],[[]],[[],[],[]]]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[[]],[[]],[[],[[]]]]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[[]],[[]],[[[]]],[]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[[]],[[]],[[[]],[]]]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[[]],[[]],[[[],[]]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[[]],[[]],[[[[]]]]]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[[]],[[],[]],[],[],[]]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[[]],[[],[]],[],[[]]]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[[]],[[],[]],[[]],[]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[[]],[[],[]],[[],[]]]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[[]],[[],[]],[[[]]]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[[]],[[],[],[]],[],[]]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[[]],[[],[],[]],[[]]]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[[]],[[],[],[],[]],[]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[[]],[[],[],[],[],[]]]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[[]],[[],[],[],[[]]]]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[[]],[[],[],[[]]],[]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[[]],[[],[],[[]],[]]]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[[]],[[],[],[[],[]]]]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[[]],[[],[],[[[]]]]]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[[]],[[],[[]]],[],[]]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[[]],[[],[[]]],[[]]]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[[]],[[],[[]],[]],[]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[[]],[[],[[]],[],[]]]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[[]],[[],[[]],[[]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[[]],[[],[[],[]]],[]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[[]],[[],[[],[]],[]]]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[[]],[[],[[],[],[]]]]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[[]],[[],[[],[[]]]]]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[[]],[[],[[[]]]],[]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[[]],[[],[[[]]],[]]]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[[]],[[],[[[]],[]]]]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[[]],[[],[[[],[]]]]]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[[]],[[],[[[[]]]]]]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[[]],[[[]]],[],[],[]]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[[]],[[[]]],[],[[]]]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[[]],[[[]]],[[]],[]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[[]],[[[]]],[[],[]]]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[[]],[[[]]],[[[]]]]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[[]],[[[]],[]],[],[]]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[[]],[[[]],[]],[[]]]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[[]],[[[]],[],[]],[]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[[]],[[[]],[],[],[]]]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[[]],[[[]],[],[[]]]]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[[]],[[[]],[[]]],[]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[[]],[[[]],[[]],[]]]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[[]],[[[]],[[],[]]]]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[[]],[[[]],[[[]]]]]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[[]],[[[],[]]],[],[]]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[[]],[[[],[]]],[[]]]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[[]],[[[],[]],[]],[]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[[]],[[[],[]],[],[]]]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[[]],[[[],[]],[[]]]]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[[]],[[[],[],[]]],[]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[[]],[[[],[],[]],[]]]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[[]],[[[],[],[],[]]]]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[[]],[[[],[],[[]]]]]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[[]],[[[],[[]]]],[]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[[]],[[[],[[]]],[]]]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[[]],[[[],[[]],[]]]]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[[]],[[[],[[],[]]]]]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[[]],[[[],[[[]]]]]]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[[]],[[[[]]]],[],[]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[[]],[[[[]]]],[[]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[[]],[[[[]]],[]],[]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[[]],[[[[]]],[],[]]]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[[]],[[[[]]],[[]]]]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[[]],[[[[]],[]]],[]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[[]],[[[[]],[]],[]]]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[[]],[[[[]],[],[]]]]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[[]],[[[[]],[[]]]]]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[[]],[[[[],[]]]],[]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[[]],[[[[],[]]],[]]]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[[]],[[[[],[]],[]]]]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[[]],[[[[],[],[]]]]]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[[]],[[[[],[[]]]]]]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[[]],[[[[[]]]]],[]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[[]],[[[[[]]]],[]]]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[[]],[[[[[]]],[]]]]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[[]],[[[[[]],[]]]]]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[[]],[[[[[],[]]]]]]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[[]],[[[[[[]]]]]]]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[[],[]],[],[],[],[],[]]=>[[[[[[.,[[.,.],.]],.],.],.],.],.] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[[],[]],[],[],[],[[]]]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[[],[]],[],[],[[]],[]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[[],[]],[],[],[[],[]]]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[[],[]],[],[],[[[]]]]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[[],[]],[],[[]],[],[]]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[[],[]],[],[[]],[[]]]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[[],[]],[],[[],[]],[]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[[],[]],[],[[],[],[]]]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[[],[]],[],[[],[[]]]]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[],[]],[],[[[]]],[]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[],[]],[],[[[]],[]]]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[],[]],[],[[[],[]]]]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[[],[]],[],[[[[]]]]]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[[],[]],[[]],[],[],[]]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.] [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[],[]],[[]],[],[[]]]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[],[]],[[]],[[]],[]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[],[]],[[]],[[],[]]]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]] [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[],[]],[[]],[[[]]]]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[[],[]],[[],[]],[],[]]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[],[]],[[],[]],[[]]]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[[],[]],[[],[],[]],[]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[[],[]],[[],[],[],[]]]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[[],[]],[[],[],[[]]]]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[],[]],[[],[[]]],[]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[[],[]],[[],[[]],[]]]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[],[]],[[],[[],[]]]]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[],[]],[[],[[[]]]]]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[[],[]],[[[]]],[],[]]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[],[]],[[[]]],[[]]]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[[],[]],[[[]],[]],[]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[[],[]],[[[]],[],[]]]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[[],[]],[[[]],[[]]]]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[[],[]],[[[],[]]],[]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[],[]],[[[],[]],[]]]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[[],[]],[[[],[],[]]]]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]] [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[[],[]],[[[],[[]]]]]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[],[]],[[[[]]]],[]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[],[]],[[[[]]],[]]]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[[],[]],[[[[]],[]]]]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[[],[]],[[[[],[]]]]]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[[],[]],[[[[[]]]]]]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[],[],[]],[],[],[],[]]=>[[[[[.,[[[.,.],.],.]],.],.],.],.] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[],[],[]],[],[],[[]]]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[],[],[]],[],[[]],[]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[],[],[]],[],[[],[]]]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[],[],[]],[],[[[]]]]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[],[],[]],[[]],[],[]]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[],[],[]],[[]],[[]]]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[],[],[]],[[],[]],[]]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[],[],[]],[[],[],[]]]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[],[],[]],[[],[[]]]]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[],[],[]],[[[]]],[]]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[],[],[]],[[[]],[]]]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[],[],[]],[[[],[]]]]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[],[],[]],[[[[]]]]]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[],[],[],[]],[],[],[]]=>[[[[.,[[[[.,.],.],.],.]],.],.],.] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[],[],[],[]],[],[[]]]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[],[],[],[]],[[]],[]]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[],[],[],[]],[[],[]]]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[],[],[],[]],[[[]]]]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[],[],[],[],[]],[],[]]=>[[[.,[[[[[.,.],.],.],.],.]],.],.] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[],[],[],[],[]],[[]]]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[],[],[],[],[],[]],[]]=>[[.,[[[[[[.,.],.],.],.],.],.]],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[],[],[],[],[],[],[]]]=>[.,[[[[[[[.,.],.],.],.],.],.],.]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[],[],[],[],[],[[]]]]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[],[],[],[],[[]]],[]]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[],[],[],[],[[]],[]]]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[],[],[],[],[[],[]]]]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[],[],[],[],[[[]]]]]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[],[],[],[[]]],[],[]]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.] [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[],[],[],[[]]],[[]]]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[],[],[],[[]],[]],[]]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[],[],[],[[]],[],[]]]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[],[],[],[[]],[[]]]]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[],[],[],[[],[]]],[]]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[],[],[],[[],[]],[]]]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[],[],[],[[],[],[]]]]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[],[],[],[[],[[]]]]]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[],[],[],[[[]]]],[]]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[],[],[],[[[]]],[]]]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[],[],[],[[[]],[]]]]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[],[],[],[[[],[]]]]]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[],[],[],[[[[]]]]]]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[],[],[[]]],[],[],[]]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[],[],[[]]],[],[[]]]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[],[],[[]]],[[]],[]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.] [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[],[],[[]]],[[],[]]]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[],[],[[]]],[[[]]]]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[],[],[[]],[]],[],[]]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.] [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[],[],[[]],[]],[[]]]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[],[],[[]],[],[]],[]]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[],[],[[]],[],[],[]]]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[],[],[[]],[],[[]]]]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[],[],[[]],[[]]],[]]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[],[],[[]],[[]],[]]]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[],[],[[]],[[],[]]]]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[],[],[[]],[[[]]]]]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[],[],[[],[]]],[],[]]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[],[],[[],[]]],[[]]]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[],[],[[],[]],[]],[]]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[],[],[[],[]],[],[]]]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[],[],[[],[]],[[]]]]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[],[],[[],[],[]]],[]]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[],[],[[],[],[]],[]]]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[],[],[[],[],[],[]]]]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[],[],[[],[],[[]]]]]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[],[],[[],[[]]]],[]]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.] 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[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[],[],[[[]],[]],[]]]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[],[],[[[]],[],[]]]]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[],[],[[[]],[[]]]]]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[],[],[[[],[]]]],[]]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[],[],[[[],[]]],[]]]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[],[],[[[],[]],[]]]]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[],[],[[[],[],[]]]]]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[],[],[[[],[[]]]]]]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[],[],[[[[]]]]],[]]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[],[],[[[[]]]],[]]]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[],[],[[[[]]],[]]]]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[],[],[[[[]],[]]]]]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[],[],[[[[],[]]]]]]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[],[],[[[[[]]]]]]]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[],[[]]],[],[],[],[]]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.] [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[],[[]]],[],[],[[]]]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[],[[]]],[],[[]],[]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.] [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[],[[]]],[],[[],[]]]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[],[[]]],[],[[[]]]]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[],[[]]],[[]],[],[]]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[],[[]]],[[]],[[]]]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[],[[]]],[[],[]],[]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[],[[]]],[[],[],[]]]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[],[[]]],[[],[[]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[],[[]]],[[[]]],[]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[],[[]]],[[[]],[]]]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[],[[]]],[[[],[]]]]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[],[[]]],[[[[]]]]]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[],[[]],[]],[],[],[]]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[],[[]],[]],[],[[]]]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[],[[]],[]],[[]],[]]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.] [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[],[[]],[]],[[],[]]]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[],[[]],[]],[[[]]]]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[],[[]],[],[]],[],[]]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.] [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[],[[]],[],[]],[[]]]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[],[[]],[],[],[]],[]]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[],[[]],[],[],[],[]]]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[],[[]],[],[],[[]]]]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[],[[]],[],[[]]],[]]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[],[[]],[],[[]],[]]]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]] [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[],[[]],[],[[],[]]]]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[],[[]],[],[[[]]]]]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[],[[]],[[]]],[],[]]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[],[[]],[[]]],[[]]]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[],[[]],[[]],[]],[]]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[],[[]],[[]],[],[]]]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[],[[]],[[]],[[]]]]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[],[[]],[[],[]]],[]]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[],[[]],[[],[]],[]]]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[],[[]],[[],[],[]]]]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[],[[]],[[],[[]]]]]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[],[[]],[[[]]]],[]]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[],[[]],[[[]]],[]]]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[],[[]],[[[]],[]]]]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[],[[]],[[[],[]]]]]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[],[[]],[[[[]]]]]]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[],[[],[]]],[],[],[]]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.] [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[],[[],[]]],[],[[]]]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[],[[],[]]],[[]],[]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[],[[],[]]],[[],[]]]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[],[[],[]]],[[[]]]]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[],[[],[]],[]],[],[]]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[],[[],[]],[]],[[]]]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[],[[],[]],[],[]],[]]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[],[[],[]],[],[],[]]]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[],[[],[]],[],[[]]]]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[],[[],[]],[[]]],[]]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.] [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[],[[],[]],[[]],[]]]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[],[[],[]],[[],[]]]]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[],[[],[]],[[[]]]]]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[],[[],[],[]]],[],[]]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.] [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[],[[],[],[]]],[[]]]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[],[[],[],[]],[]],[]]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[],[[],[],[]],[],[]]]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[],[[],[],[]],[[]]]]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[],[[],[],[],[]]],[]]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[],[[],[],[],[]],[]]]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[],[[],[],[],[],[]]]]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[],[[],[],[],[[]]]]]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[],[[],[],[[]]]],[]]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.] 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[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[],[[],[[[]]],[]]]]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[[],[[],[[[]],[]]]]]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[[],[[],[[[],[]]]]]]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[[],[[],[[[[]]]]]]]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[],[[[]]]],[],[],[]]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[],[[[]]]],[],[[]]]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[],[[[]]]],[[]],[]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[],[[[]]]],[[],[]]]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[],[[[]]]],[[[]]]]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[],[[[]]],[]],[],[]]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[],[[[]]],[]],[[]]]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[],[[[]]],[],[]],[]]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[],[[[]]],[],[],[]]]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[],[[[]]],[],[[]]]]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[],[[[]]],[[]]],[]]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[],[[[]]],[[]],[]]]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[],[[[]]],[[],[]]]]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[],[[[]]],[[[]]]]]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[],[[[]],[]]],[],[]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[],[[[]],[]]],[[]]]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[],[[[]],[]],[]],[]]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[],[[[]],[]],[],[]]]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[],[[[]],[]],[[]]]]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[],[[[]],[],[]]],[]]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[],[[[]],[],[]],[]]]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[],[[[]],[],[],[]]]]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]] [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[],[[[]],[],[[]]]]]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[],[[[]],[[]]]],[]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[],[[[]],[[]]],[]]]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[],[[[]],[[]],[]]]]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[],[[[]],[[],[]]]]]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[],[[[]],[[[]]]]]]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[],[[[],[]]]],[],[]]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[],[[[],[]]]],[[]]]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[],[[[],[]]],[]],[]]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[],[[[],[]]],[],[]]]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[],[[[],[]]],[[]]]]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[],[[[],[]],[]]],[]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.] [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[],[[[],[]],[]],[]]]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[],[[[],[]],[],[]]]]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[],[[[],[]],[[]]]]]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[],[[[],[],[]]]],[]]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[],[[[],[],[]]],[]]]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[],[[[],[],[]],[]]]]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[],[[[],[],[],[]]]]]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]] [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[],[[[],[],[[]]]]]]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[],[[[],[[]]]]],[]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[],[[[],[[]]]],[]]]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[],[[[],[[]]],[]]]]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[],[[[],[[]],[]]]]]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] 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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]=>[[[[],[]],[[]]],[],[]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.] 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[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]=>[[[[],[],[],[]],[]],[]]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.] 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[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
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 $t$.