Processing math: 100%

Identifier
Mp00143: Dyck paths —inverse promotion⟶ Dyck paths
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Images
[1,0] => [1,0] => [[]] => [[]]
[1,0,1,0] => [1,1,0,0] => [[[]]] => [[[]]]
[1,1,0,0] => [1,0,1,0] => [[],[]] => [[],[]]
[1,0,1,0,1,0] => [1,1,0,1,0,0] => [[[],[]]] => [[[],[]]]
[1,0,1,1,0,0] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]
[1,1,0,0,1,0] => [1,0,1,1,0,0] => [[],[[]]] => [[[]],[]]
[1,1,0,1,0,0] => [1,0,1,0,1,0] => [[],[],[]] => [[],[],[]]
[1,1,1,0,0,0] => [1,1,0,0,1,0] => [[[]],[]] => [[],[[]]]
[1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]
[1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]
[1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]
[1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]
[1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]
[1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0] => [[],[[],[]]] => [[[],[]],[]]
[1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]
[1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [[],[],[[]]] => [[[]],[],[]]
[1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [[],[],[],[]] => [[],[],[],[]]
[1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0] => [[],[[]],[]] => [[],[[]],[]]
[1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0] => [[[]],[[]]] => [[[]],[[]]]
[1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0] => [[[]],[],[]] => [[],[],[[]]]
[1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0] => [[[],[]],[]] => [[],[[],[]]]
[1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]
[1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [[[],[],[],[]]] => [[[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => [[[],[],[[]]]] => [[[[]],[],[]]]
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [[[],[[]],[]]] => [[[],[[]],[]]]
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]] => [[[[],[]],[]]]
[1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]] => [[[[[]]],[]]]
[1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [[[[]],[],[]]] => [[[],[],[[]]]]
[1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]] => [[[[]],[[]]]]
[1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]] => [[[],[[],[]]]]
[1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => [[[[],[],[]]]] => [[[[],[],[]]]]
[1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]] => [[[[[]],[]]]]
[1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [[[[[]]],[]]] => [[[],[[[]]]]]
[1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => [[[[[]],[]]]] => [[[[],[[]]]]]
[1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]
[1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0] => [[],[[],[],[]]] => [[[],[],[]],[]]
[1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [[],[[],[[]]]] => [[[[]],[]],[]]
[1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0] => [[],[[[]],[]]] => [[[],[[]]],[]]
[1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [[],[[[],[]]]] => [[[[],[]]],[]]
[1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]] => [[[[[]]]],[]]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0] => [[],[],[[],[]]] => [[[],[]],[],[]]
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0] => [[],[],[[[]]]] => [[[[]]],[],[]]
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [[],[],[],[[]]] => [[[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[]] => [[],[],[],[],[]]
[1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[]] => [[],[[]],[],[]]
[1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]]] => [[[]],[[]],[]]
[1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[]] => [[],[],[[]],[]]
[1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[]] => [[],[[],[]],[]]
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[]] => [[],[[[]]],[]]
[1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0] => [[[]],[[],[]]] => [[[],[]],[[]]]
[1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[[]],[[[]]]] => [[[[]]],[[]]]
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [[[]],[],[[]]] => [[[]],[],[[]]]
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [[[]],[],[],[]] => [[],[],[],[[]]]
[1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[]] => [[],[[]],[[]]]
[1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[]]] => [[[]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [[[],[]],[],[]] => [[],[],[[],[]]]
[1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[]] => [[],[[],[],[]]]
[1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => [[[],[[]]],[]] => [[],[[[]],[]]]
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [[[[]]],[[]]] => [[[]],[[[]]]]
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [[[[]]],[],[]] => [[],[],[[[]]]]
[1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0] => [[[[]],[]],[]] => [[],[[],[[]]]]
[1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0] => [[[[],[]]],[]] => [[],[[[],[]]]]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => [[[[[]]]],[]] => [[],[[[[]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]
>>> Load all 2330 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[]]] => [[[],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[],[[],[],[[]]]] => [[[[]],[],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[],[[],[[]],[]]] => [[[],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[],[[],[[],[]]]] => [[[[],[]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[],[[],[[[]]]]] => [[[[[]]],[]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[],[[[]],[],[]]] => [[[],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]]]] => [[[[]],[[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]],[]]] => [[[],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[],[[[],[],[]]]] => [[[[],[],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[],[[[],[[]]]]] => [[[[[]],[]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[],[[[[]]],[]]] => [[[],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[],[[[[]],[]]]] => [[[[],[[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[[[],[]]]]] => [[[[[],[]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]]] => [[[[[[]]]]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[],[],[]]] => [[[],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[[],[[]]]] => [[[[]],[]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[[[]],[]]] => [[[],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[[[],[]]]] => [[[[],[]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[[[[]]]]] => [[[[[]]]],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[[],[]]] => [[[],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[[[]]]] => [[[[]]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[[]]] => [[[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[]] => [[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[[]],[]] => [[],[[]],[],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]]] => [[[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[],[]] => [[],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[[],[]],[]] => [[],[[],[]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[[[]]],[]] => [[],[[[]]],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[],[]]] => [[[],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[[]]]] => [[[[]]],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[],[[]]] => [[[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[],[],[]] => [[],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[]] => [[],[[]],[[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[],[[],[]],[[]]] => [[[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[],[[],[]],[],[]] => [[],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[],[[],[],[]],[]] => [[],[[],[],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [[],[[],[[]]],[]] => [[],[[[]],[]],[]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[],[[[]]],[[]]] => [[[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[],[[[]]],[],[]] => [[],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[],[[[]],[]],[]] => [[],[[],[[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[],[[[],[]]],[]] => [[],[[[],[]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[],[[[[]]]],[]] => [[],[[[[]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[],[],[]]] => [[[],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[],[[]]]] => [[[[]],[]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]]] => [[[],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[[],[]]]] => [[[[],[]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[]]]]] => [[[[[]]]],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[],[[],[]]] => [[[],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[],[[[]]]] => [[[[]]],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[[]]] => [[[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[]] => [[],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[],[[]],[]] => [[],[[]],[],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]]] => [[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[],[]] => [[],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[],[]],[]] => [[],[[],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[]]],[]] => [[],[[[]]],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[[],[]],[[],[]]] => [[[],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[[]]]] => [[[[]]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[],[]],[],[[]]] => [[[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[],[]],[],[],[]] => [[],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[]] => [[],[[]],[[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[]],[[]]] => [[[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[]],[],[]] => [[],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[]] => [[],[[],[],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[[]]],[]] => [[],[[[]],[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]]],[[]]] => [[[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[[],[[]]],[],[]] => [[],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[]],[]] => [[],[[],[[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[]] => [[],[[[],[]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]]],[]] => [[],[[[[]]],[]]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[],[]]] => [[[],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[]]]] => [[[[]]],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]]] => [[[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[]]],[],[],[]] => [[],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[]] => [[],[[]],[[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]]] => [[[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[]],[],[]] => [[],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[]],[]] => [[],[[],[],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]]],[]] => [[],[[[]],[[]]]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[[[],[]]],[[]]] => [[[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[[],[]]],[],[]] => [[],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[]]],[]] => [[],[[[],[],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[[[],[[]]]],[]] => [[],[[[[]],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[]]]],[[]]] => [[[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[]]]],[],[]] => [[],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[[[[]]],[]],[]] => [[],[[],[[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[]]],[]] => [[],[[[],[[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[[[[],[]]]],[]] => [[],[[[[],[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[]] => [[],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [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] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]]
[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] => [[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[[],[]]]] => [[[[],[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[[]],[[]]]] => [[[[]],[[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[],[[],[]],[]]] => [[[],[[],[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[],[[],[],[]]]] => [[[[],[],[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[],[[],[[]]]]] => [[[[[]],[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[],[[[]]],[]]] => [[[],[[[]]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[],[[[]],[]]]] => [[[[],[[]]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[],[[[],[]]]]] => [[[[[],[]]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[],[[]],[],[[]]]] => [[[[]],[],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[],[[]],[[]],[]]] => [[[],[[]],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[],[[]],[[],[]]]] => [[[[],[]],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[],[[],[]],[],[]]] => [[[],[],[[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[],[],[[],[]],[[]]]] => [[[[]],[[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[],[[],[],[]],[]]] => [[[],[[],[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[],[]]]] => [[[[],[],[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[],[[],[],[[]]]]] => [[[[[]],[],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[],[],[[],[[]]],[]]] => [[[],[[[]],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[],[[],[[]],[]]]] => [[[[],[[]],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[],[[],[[],[]]]]] => [[[[[],[]],[]],[],[]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[],[[],[[[]]]]]] => [[[[[[]]],[]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[],[[[]]],[],[]]] => [[[],[],[[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[],[],[[[]]],[[]]]] => [[[[]],[[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[],[[[]],[]],[]]] => [[[],[[],[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[],[[[]],[],[]]]] => [[[[],[],[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[],[[[]],[[]]]]] => [[[[[]],[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[],[[[],[]]],[]]] => [[[],[[[],[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[],[[[],[]],[]]]] => [[[[],[[],[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[],[[[],[],[]]]]] => [[[[[],[],[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[],[[[],[[]]]]]] => [[[[[[]],[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[],[[[[]]]],[]]] => [[[],[[[[]]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[],[[[[]]],[]]]] => [[[[],[[[]]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[],[],[[[[]],[]]]]] => [[[[[],[[]]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[],[[[[],[]]]]]] => [[[[[[],[]]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[]]] => [[[],[],[],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[],[[]],[],[],[[]]]] => [[[[]],[],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[],[[]],[],[[]],[]]] => [[[],[[]],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[],[[]],[],[[],[]]]] => [[[[],[]],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[],[[]],[],[[[]]]]] => [[[[[]]],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[[]],[],[]]] => [[[],[],[[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[],[[]],[[],[]],[]]] => [[[],[[],[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[],[[]],[[],[],[]]]] => [[[[],[],[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[],[[]],[[[]]],[]]] => [[[],[[[]]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[],[[]],[[[]],[]]]] => [[[[],[[]]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[],[[]],[[[],[]]]]] => [[[[[],[]]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[],[[]],[[[[]]]]]] => [[[[[[]]]],[[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[],[[],[]],[],[],[]]] => [[[],[],[],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[],[[],[]],[],[[]]]] => [[[[]],[],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[],[[],[]],[[]],[]]] => [[[],[[]],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[[],[]],[[],[]]]] => [[[[],[]],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[],[[],[]],[[[]]]]] => [[[[[]]],[[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[],[[],[],[]],[],[]]] => [[[],[],[[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[],[]],[[]]]] => [[[[]],[[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[],[]],[]]] => [[[],[[],[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[]]]] => [[[[],[],[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[],[[]]]]] => [[[[[]],[],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[],[[],[],[[]]],[]]] => [[[],[[[]],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[],[[]],[]]]] => [[[[],[[]],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[],[[],[]]]]] => [[[[[],[]],[],[]],[]]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[],[[[]]]]]] => [[[[[[]]],[],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[],[[],[[]]],[],[]]] => [[[],[],[[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[],[[],[[]]],[[]]]] => [[[[]],[[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[],[[],[[]],[]],[]]] => [[[],[[],[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[],[[],[[]],[],[]]]] => [[[[],[],[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[],[[],[[]],[[]]]]] => [[[[[]],[[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[],[[],[]]],[]]] => [[[],[[[],[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[],[[],[]],[]]]] => [[[[],[[],[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[],[[],[[],[],[]]]]] => [[[[[],[],[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[],[[],[[],[[]]]]]] => [[[[[[]],[]],[]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[],[[],[[[]]]],[]]] => [[[],[[[[]]],[]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[],[[],[[[]]],[]]]] => [[[[],[[[]]],[]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[],[[],[[[]],[]]]]] => [[[[[],[[]]],[]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[],[[],[[[],[]]]]]] => [[[[[[],[]]],[]],[]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[],[[],[[[[]]]]]]] => [[[[[[[]]]],[]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[],[[[]]],[],[],[]]] => [[[],[],[],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[],[[[]]],[],[[]]]] => [[[[]],[],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[],[[[]]],[[]],[]]] => [[[],[[]],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[],[[[]]],[[],[]]]] => [[[[],[]],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[],[[[]]],[[[]]]]] => [[[[[]]],[[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[],[[[]],[]],[],[]]] => [[[],[],[[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[],[[[]],[]],[[]]]] => [[[[]],[[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[],[[[]],[],[]],[]]] => [[[],[[],[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[],[[[]],[],[],[]]]] => [[[[],[],[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[],[[[]],[],[[]]]]] => [[[[[]],[],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[],[[[]],[[]]],[]]] => [[[],[[[]],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[],[[[]],[[]],[]]]] => [[[[],[[]],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[],[[[]],[[],[]]]]] => [[[[[],[]],[[]]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[],[[[]],[[[]]]]]] => [[[[[[]]],[[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[],[[[],[]]],[],[]]] => [[[],[],[[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[],[[[],[]]],[[]]]] => [[[[]],[[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[[[],[]],[]],[]]] => [[[],[[],[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[],[[[],[]],[],[]]]] => [[[[],[],[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[],[[[],[]],[[]]]]] => [[[[[]],[[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[],[[[],[],[]]],[]]] => [[[],[[[],[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[],[[[],[],[]],[]]]] => [[[[],[[],[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[],[]]]]] => [[[[[],[],[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[],[[[],[],[[]]]]]] => [[[[[[]],[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[],[[[],[[]]]],[]]] => [[[],[[[[]],[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[[],[[]]],[]]]] => [[[[],[[[]],[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[],[[[],[[]],[]]]]] => [[[[[],[[]],[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[[[],[[],[]]]]]] => [[[[[[],[]],[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[],[[[],[[[]]]]]]] => [[[[[[[]]],[]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[],[[[[]]]],[],[]]] => [[[],[],[[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[],[[[[]]]],[[]]]] => [[[[]],[[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[],[[[[]]],[]],[]]] => [[[],[[],[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[],[[[[]]],[],[]]]] => [[[[],[],[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[],[[[[]]],[[]]]]] => [[[[[]],[[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[],[[[[]],[]]],[]]] => [[[],[[[],[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[],[[[[]],[]],[]]]] => [[[[],[[],[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[],[[[[]],[],[]]]]] => [[[[[],[],[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[],[[[[]],[[]]]]]] => [[[[[[]],[[]]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[[[],[]]]],[]]] => [[[],[[[[],[]]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[],[[[[],[]]],[]]]] => [[[[],[[[],[]]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[],[[[[],[]],[]]]]] => [[[[[],[[],[]]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[],[],[]]]]]] => [[[[[[],[],[]]]],[]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[],[[[[],[[]]]]]]] => [[[[[[[]],[]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[],[[[[[]]]]],[]]] => [[[],[[[[[]]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[],[[[[[]]]],[]]]] => [[[[],[[[[]]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[],[[[[[]]],[]]]]] => [[[[[],[[[]]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[],[[[[[]],[]]]]]] => [[[[[[],[[]]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[],[[[[[],[]]]]]]] => [[[[[[[],[]]]]],[]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[],[[]]]] => [[[[]],[],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[],[[]],[]]] => [[[],[[]],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[],[[],[]]]] => [[[[],[]],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[],[[[]]]]] => [[[[[]]],[],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[[]],[],[[]],[],[]]] => [[[],[],[[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[[[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[]],[],[[],[],[]]]] => [[[[],[],[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[]],[],[[],[[]]]]] => [[[[[]],[]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[]],[],[[[]]],[]]] => [[[],[[[]]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[]],[],[[[]],[]]]] => [[[[],[[]]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[[]],[],[[[],[]]]]] => [[[[[],[]]],[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[]],[],[[[[]]]]]] => [[[[[[]]]],[],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[[]],[],[],[]]] => [[[],[],[],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[]],[[],[]]]] => [[[[],[]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[],[]]]] => [[[[],[],[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[]],[[],[],[[]]]]] => [[[[[]],[],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[[]],[[],[[]],[]]]] => [[[[],[[]],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[[]],[[],[[[]]]]]] => [[[[[[]]],[]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[[]],[[[]]],[[]]]] => [[[[]],[[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[]],[[[]],[],[]]]] => [[[[],[],[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[]],[[[]],[[]]]]] => [[[[[]],[[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[]],[[[],[]]],[]]] => [[[],[[[],[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[]],[[[],[],[]]]]] => [[[[[],[],[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[[]],[[[],[[]]]]]] => [[[[[[]],[]]],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[[]],[[[[]]]],[]]] => [[[],[[[[]]]],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [[[[]],[[[[]]],[]]]] => [[[[],[[[]]]],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[[[]],[[[[]],[]]]]] => [[[[[],[[]]]],[[]]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[]]] => [[[],[],[],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[],[]],[],[],[[]]]] => [[[[]],[],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[],[]],[],[[],[]]]] => [[[[],[]],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[],[]],[],[[[]]]]] => [[[[[]]],[],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[],[]],[[]],[],[]]] => [[[],[],[[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[],[]],[[]],[[]]]] => [[[[]],[[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[],[]],[[],[]],[]]] => [[[],[[],[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[],[]],[[],[],[]]]] => [[[[],[],[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[],[]],[[],[[]]]]] => [[[[[]],[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[]],[[[]]],[]]] => [[[],[[[]]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[],[]],[[[]],[]]]] => [[[[],[[]]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [[[[],[]],[[[],[]]]]] => [[[[[],[]]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[],[]],[[[[]]]]]] => [[[[[[]]]],[[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[],[]],[],[],[]]] => [[[],[],[],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[],[]],[],[[]]]] => [[[[]],[],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [[[[],[],[]],[[]],[]]] => [[[],[[]],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[],[]],[[],[]]]] => [[[[],[]],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[],[]],[[[]]]]] => [[[[[]]],[[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[],[]],[],[]]] => [[[],[],[[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[],[]],[[]]]] => [[[[]],[[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[],[[]]]]] => [[[[[]],[],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[],[[]]],[]]] => [[[],[[[]],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[],[[]],[]]]] => [[[[],[[]],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[],[[],[]]]]] => [[[[[],[]],[],[],[]]]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[],[[[]]]]]] => [[[[[[]]],[],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[],[[]]],[],[]]] => [[[],[],[[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[],[[]]],[[]]]] => [[[[]],[[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[],[[]],[]],[]]] => [[[],[[],[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[],[[]],[],[]]]] => [[[[],[],[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[],[[]],[[]]]]] => [[[[[]],[[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[],[[],[]]],[]]] => [[[],[[[],[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[],[[],[]],[]]]] => [[[[],[[],[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[],[[],[],[]]]]] => [[[[[],[],[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[],[[],[[]]]]]] => [[[[[[]],[]],[],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[],[[[]]]],[]]] => [[[],[[[[]]],[],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[],[[[]]],[]]]] => [[[[],[[[]]],[],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[],[[[]],[]]]]] => [[[[[],[[]]],[],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[[[],[]]]]]] => [[[[[[],[]]],[],[]]]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[],[[[[]]]]]]] => [[[[[[[]]]],[],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[],[[]]],[],[],[]]] => [[[],[],[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[[]]],[],[[]]]] => [[[[]],[],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[],[[]]],[[]],[]]] => [[[],[[]],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[],[[]]],[[],[]]]] => [[[[],[]],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[],[[]]],[[[]]]]] => [[[[[]]],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[],[[]],[]],[],[]]] => [[[],[],[[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[],[[]],[]],[[]]]] => [[[[]],[[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[],[[]],[],[]],[]]] => [[[],[[],[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[],[[]],[],[],[]]]] => [[[[],[],[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[],[[]],[],[[]]]]] => [[[[[]],[],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[],[[]],[[]]],[]]] => [[[],[[[]],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[[]],[]]]] => [[[[],[[]],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[],[[]],[[],[]]]]] => [[[[[],[]],[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[],[[]],[[[]]]]]] => [[[[[[]]],[[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[],[[],[]]],[],[]]] => [[[],[],[[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[],[[],[]]],[[]]]] => [[[[]],[[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[],[]],[]],[]]] => [[[],[[],[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[],[[],[]],[],[]]]] => [[[[],[],[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[],[[],[]],[[]]]]] => [[[[[]],[[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[],[[],[],[]]],[]]] => [[[],[[[],[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[],[[],[],[]],[]]]] => [[[[],[[],[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[]]]]] => [[[[[],[],[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[],[[],[],[[]]]]]] => [[[[[[]],[],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[],[[],[[]]]],[]]] => [[[],[[[[]],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[],[[],[[]]],[]]]] => [[[[],[[[]],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[],[[],[[]],[]]]]] => [[[[[],[[]],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[],[[],[[[]]]]]]] => [[[[[[[]]],[]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[],[[[]]]],[],[]]] => [[[],[],[[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[],[[[]]]],[[]]]] => [[[[]],[[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[],[[[]]],[]],[]]] => [[[],[[],[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[],[[[]]],[],[]]]] => [[[[],[],[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[[[]]],[[]]]]] => [[[[[]],[[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[],[[[]],[]]],[]]] => [[[],[[[],[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[],[[[]],[]],[]]]] => [[[[],[[],[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[],[[[]],[],[]]]]] => [[[[[],[],[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[],[[[]],[[]]]]]] => [[[[[[]],[[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[],[[[],[]]]],[]]] => [[[],[[[[],[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[],[[[],[]]],[]]]] => [[[[],[[[],[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[[[],[],[]]]]]] => [[[[[[],[],[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[],[[[],[[]]]]]]] => [[[[[[[]],[]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[[[[]]]]],[]]] => [[[],[[[[[]]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[],[[[[]]]],[]]]] => [[[[],[[[[]]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[],[[[[]]],[]]]]] => [[[[[],[[[]]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[],[[[[]],[]]]]]] => [[[[[[],[[]]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[],[[[[],[]]]]]]] => [[[[[[[],[]]]],[]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[[[[[]]]]]]]] => [[[[[[[[]]]]],[]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[],[]]] => [[[],[],[],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[]]],[],[[],[]]]] => [[[[],[]],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[[[]]],[[]],[[]]]] => [[[[]],[[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[[]]],[[],[]],[]]] => [[[],[[],[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[[]]],[[],[],[]]]] => [[[[],[],[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[[]]],[[],[[]]]]] => [[[[[]],[]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[[]]],[[[]]],[]]] => [[[],[[[]]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[[]]],[[[]],[]]]] => [[[[],[[]]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[]]],[[[],[]]]]] => [[[[[],[]]],[[[]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[]]],[[[[]]]]]] => [[[[[[]]]],[[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[[]],[]],[],[],[]]] => [[[],[],[],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[]],[]],[[],[]]]] => [[[[],[]],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[[]],[]],[[[]]]]] => [[[[[]]],[[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[[]],[],[]],[],[]]] => [[[],[],[[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[[]],[],[]],[[]]]] => [[[[]],[[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[],[]],[]]] => [[[],[[],[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[]]]] => [[[[],[],[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[],[[]]]]] => [[[[[]],[],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[[[[]],[],[[]]],[]]] => [[[],[[[]],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[[]],[],[[]],[]]]] => [[[[],[[]],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[[]],[],[[],[]]]]] => [[[[[],[]],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[[]],[],[[[]]]]]] => [[[[[[]]],[],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[[]],[[]]],[[]]]] => [[[[]],[[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[]],[]]] => [[[],[[],[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[[]],[],[]]]] => [[[[],[],[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]],[[]]]]] => [[[[[]],[[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[[]],[[],[]]],[]]] => [[[],[[[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[[]],[[],[]],[]]]] => [[[[],[[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[[]],[[],[],[]]]]] => [[[[[],[],[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[[]],[[],[[]]]]]] => [[[[[[]],[]],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[]],[[[]]]],[]]] => [[[],[[[[]]],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[[]],[[[]]],[]]]] => [[[[],[[[]]],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[[[[]],[[[]],[]]]]] => [[[[[],[[]]],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[[]],[[[],[]]]]]] => [[[[[[],[]]],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[[]],[[[[]]]]]]] => [[[[[[[]]]],[[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[],[]]],[],[[]]]] => [[[[]],[],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[[[[],[]]],[[]],[]]] => [[[],[[]],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[[],[]]],[[[]]]]] => [[[[[]]],[[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[],[]],[]],[],[]]] => [[[],[],[[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[],[]],[]],[[]]]] => [[[[]],[[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[[],[]],[],[]],[]]] => [[[],[[],[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[[],[]],[],[],[]]]] => [[[[],[],[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[[],[]],[],[[]]]]] => [[[[[]],[],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[[[[],[]],[[]]],[]]] => [[[],[[[]],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[],[]],[[]],[]]]] => [[[[],[[]],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[[],[]],[[[]]]]]] => [[[[[[]]],[[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[],[]]],[],[]]] => [[[],[],[[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[],[]]],[[]]]] => [[[[]],[[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[],[]],[]],[]]] => [[[],[[],[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[],[]],[],[]]]] => [[[[],[],[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[],[]],[[]]]]] => [[[[[]],[[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[],[]]],[]]] => [[[],[[[],[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[],[]],[]]]] => [[[[],[[],[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[],[[]]]]]] => [[[[[[]],[],[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[],[[]]]],[]]] => [[[],[[[[]],[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[[],[],[[]]],[]]]] => [[[[],[[[]],[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[],[[]],[]]]]] => [[[[[],[[]],[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[],[[],[]]]]]] => [[[[[[],[]],[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[],[[[]]]]]]] => [[[[[[[]]],[],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[[],[[]]]],[],[]]] => [[[],[],[[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[[],[[]]]],[[]]]] => [[[[]],[[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[]]],[]],[]]] => [[[],[[],[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[[],[[]]],[],[]]]] => [[[[],[],[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[[],[[]]],[[]]]]] => [[[[[]],[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[],[[]],[]]],[]]] => [[[],[[[],[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[[],[[]],[]],[]]]] => [[[[],[[],[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[[],[[]],[],[]]]]] => [[[[[],[],[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[[],[[]],[[]]]]]] => [[[[[[]],[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[[],[[],[]],[]]]]] => [[[[[],[[],[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[]]]]]] => [[[[[[],[],[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[[],[[],[[]]]]]]] => [[[[[[[]],[]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[[],[[[]]]]],[]]] => [[[],[[[[[]]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[[],[[[]]]],[]]]] => [[[[],[[[[]]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[[],[[[]]],[]]]]] => [[[[[],[[[]]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[[[],[[[]],[]]]]]] => [[[[[[],[[]]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[],[[[],[]]]]]]] => [[[[[[[],[]]],[]]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[[],[[[[]]]]]]]] => [[[[[[[[]]]],[]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[]]]],[],[[]]]] => [[[[]],[],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[]]]],[[],[]]]] => [[[[],[]],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[[[]]],[]],[[]]]] => [[[[]],[[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[[[]]],[],[]],[]]] => [[[],[[],[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[[[]]],[],[[]]]]] => [[[[[]],[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[]]],[[]]],[]]] => [[[],[[[]],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[[[]]],[[]],[]]]] => [[[[],[[]],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[[[]]],[[[]]]]]] => [[[[[[]]],[[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[[]],[]]],[],[]]] => [[[],[],[[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[[]],[]]],[[]]]] => [[[[]],[[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[]],[]],[],[]]]] => [[[[],[],[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[[]],[]],[[]]]]] => [[[[[]],[[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[[]],[],[]]],[]]] => [[[],[[[],[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[[]],[],[]],[]]]] => [[[[],[[],[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[[]],[],[[]]]]]] => [[[[[[]],[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[[]],[[]]]],[]]] => [[[],[[[[]],[[]]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[[]],[[]]],[]]]] => [[[[],[[[]],[[]]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[[]],[[]],[]]]]] => [[[[[],[[]],[[]]]]]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[[]],[[],[]]]]]] => [[[[[[],[]],[[]]]]]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[]],[[[]]]]]]] => [[[[[[[]]],[[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[[],[]]]],[],[]]] => [[[],[],[[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[[[],[]]]],[[]]]] => [[[[]],[[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[[],[]]],[]],[]]] => [[[],[[],[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[[],[]]],[],[]]]] => [[[[],[],[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[[[],[]]],[[]]]]] => [[[[[]],[[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[[],[]],[],[]]]]] => [[[[[],[],[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[[],[]],[[]]]]]] => [[[[[[]],[[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[],[]]]],[]]] => [[[],[[[[],[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[],[]]],[]]]] => [[[[],[[[],[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[],[]],[]]]]] => [[[[[],[[],[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[]]]]]] => [[[[[[],[],[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[],[[]]]]]]] => [[[[[[[]],[],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[[],[[]]]]],[]]] => [[[],[[[[[]],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[[[],[[]]]],[]]]] => [[[[],[[[[]],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[[[],[[]]],[]]]]] => [[[[[],[[[]],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[[],[[]],[]]]]]] => [[[[[[],[[]],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[]]]]]]] => [[[[[[[],[]],[]]]]]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[],[[[]]]]]]]] => [[[[[[[[]]],[]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[[]]]]],[[]]]] => [[[[]],[[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[[[]]]],[]],[]]] => [[[],[[],[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[[]]]],[],[]]]] => [[[[],[],[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[[[[]]]],[[]]]]] => [[[[[]],[[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[[]]],[]]],[]]] => [[[],[[[],[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[[]]],[],[]]]]] => [[[[[],[],[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[[]]],[[]]]]]] => [[[[[[]],[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[[]],[]]],[]]]] => [[[[],[[[],[[]]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[[]],[]],[]]]]] => [[[[[],[[],[[]]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[[]],[[]]]]]]] => [[[[[[[]],[[]]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[[],[]]]]],[]]] => [[[],[[[[[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[[],[]]]],[]]]] => [[[[],[[[[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[[],[]]],[]]]]] => [[[[[],[[[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[[],[]],[]]]]]] => [[[[[[],[[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[[]]]]]]]] => [[[[[[[[]],[]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[[]]],[]]]]]] => [[[[[[],[[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[],[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[],[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[],[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[],[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[],[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[],[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[],[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[],[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[],[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[],[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[],[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[],[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[],[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[],[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[],[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[],[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[],[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[],[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[],[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[],[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[],[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[],[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[],[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[],[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[],[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]],[]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[],[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]],[]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[],[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[],[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[],[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[],[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[],[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[],[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[],[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[],[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[],[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[],[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[],[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[],[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[],[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[],[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[],[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[],[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]],[]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[],[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[],[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[],[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[],[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[],[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[],[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[],[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[],[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[],[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[],[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]],[]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[],[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]],[]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[],[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]],[]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[],[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]],[]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[],[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[],[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[],[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[],[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[],[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[],[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[],[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[],[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[],[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[],[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[],[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[],[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]],[]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[],[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[],[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[],[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[],[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[],[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[],[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[],[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[],[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[],[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[],[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[],[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[],[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[],[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[],[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[],[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[],[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]],[]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[],[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[],[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[],[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[],[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[],[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]],[]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[],[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[],[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[],[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[],[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[],[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[],[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[],[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[],[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[],[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[],[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[],[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[],[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[],[]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[],[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[],[]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[],[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[],[]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[],[]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[],[]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[],[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[],[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[],[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[],[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[],[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[],[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[],[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[],[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[],[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[],[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[],[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[],[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[],[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[],[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[],[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[],[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[],[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[],[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[],[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[],[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[],[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[],[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[],[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[],[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[],[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]],[]]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]],[]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[],[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[],[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[],[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[],[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[],[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[],[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]],[]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[],[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]],[]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]],[]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[],[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]],[]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[],[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]],[]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]],[]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[],[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]],[]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[],[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[],[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[],[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[],[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[],[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[],[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[],[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[],[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]],[]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[],[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]],[]]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[],[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]],[]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[],[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[],[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[],[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[],[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]],[]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]],[]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]],[]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]],[]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]],[]]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[],[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]],[]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[],[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]],[]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[],[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[],[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[],[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[],[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[],[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[],[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[],[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]],[]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]],[]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[],[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]],[]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[],[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]],[]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[],[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[],[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]],[]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]],[]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]],[]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[],[]]] => [[[],[],[],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[],[[]]]] => [[[[]],[],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[[]],[[],[],[[]],[]]] => [[[],[[]],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[]],[[],[],[[],[]]]] => [[[[],[]],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[]],[[],[],[[[]]]]] => [[[[[]]],[],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[[]],[[],[[]],[],[]]] => [[[],[],[[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[]],[[],[[]],[[]]]] => [[[[]],[[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[[]],[[],[[],[]],[]]] => [[[],[[],[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[[]],[[],[[],[],[]]]] => [[[[],[],[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[]],[[],[[],[[]]]]] => [[[[[]],[]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[]],[[],[[[]]],[]]] => [[[],[[[]]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[[]],[[],[[[]],[]]]] => [[[[],[[]]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[[]],[[],[[[],[]]]]] => [[[[[],[]]],[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[[]],[[],[[[[]]]]]] => [[[[[[]]]],[]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[[]],[[[]],[],[],[]]] => [[[],[],[],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[[]],[[[]],[],[[]]]] => [[[[]],[],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[]]] => [[[],[[]],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[[]],[[[]],[[],[]]]] => [[[[],[]],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[[]],[[[]],[[[]]]]] => [[[[[]]],[[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[]],[[[],[]],[],[]]] => [[[],[],[[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[[]],[[[],[]],[[]]]] => [[[[]],[[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[[]],[[[],[],[]],[]]] => [[[],[[],[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[],[]]]] => [[[[],[],[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[[]],[[[],[],[[]]]]] => [[[[[]],[],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[[]],[[[],[[]]],[]]] => [[[],[[[]],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[]],[[[],[[]],[]]]] => [[[[],[[]],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[[]],[[[],[[],[]]]]] => [[[[[],[]],[]]],[[]]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[]],[[[],[[[]]]]]] => [[[[[[]]],[]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[]],[[[[]]],[],[]]] => [[[],[],[[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[[]],[[[[]]],[[]]]] => [[[[]],[[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[]],[]]] => [[[],[[],[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[[]],[[[[]],[],[]]]] => [[[[],[],[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[]],[[[[]],[[]]]]] => [[[[[]],[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[]],[[[[],[]]],[]]] => [[[],[[[],[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[[]],[[[[],[]],[]]]] => [[[[],[[],[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[]],[[[[],[],[]]]]] => [[[[[],[],[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[[]],[[[[],[[]]]]]] => [[[[[[]],[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[[]],[[[[[]]]],[]]] => [[[],[[[[]]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[[]],[[[[[]]],[]]]] => [[[[],[[[]]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[[]],[[[[[]],[]]]]] => [[[[[],[[]]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[]],[[[[[],[]]]]]] => [[[[[[],[]]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[],[[],[],[],[]]] => [[[],[],[],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[]],[],[[],[],[[]]]] => [[[[]],[],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[],[[],[[]],[]]] => [[[],[[]],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[]],[],[[],[[],[]]]] => [[[[],[]],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[],[[],[[[]]]]] => [[[[[]]],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[]],[],[[[]],[],[]]] => [[[],[],[[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[],[[[]],[[]]]] => [[[[]],[[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[]],[],[[[],[]],[]]] => [[[],[[],[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[]],[],[[[],[],[]]]] => [[[[],[],[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[]],[],[[[],[[]]]]] => [[[[[]],[]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[]],[],[[[[]]],[]]] => [[[],[[[]]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[]],[],[[[[]],[]]]] => [[[[],[[]]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[],[[[[],[]]]]] => [[[[[],[]]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[],[[[[[]]]]]] => [[[[[[]]]]],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[],[[],[],[]]] => [[[],[],[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[]],[],[],[[],[[]]]] => [[[[]],[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[],[[[]],[]]] => [[[],[[]]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[],[[[],[]]]] => [[[[],[]]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[],[[[[]]]]] => [[[[[]]]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[],[[]],[[],[]]] => [[[],[]],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[],[[]],[[[]]]] => [[[[]]],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[]],[[],[],[]]] => [[[],[],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[]],[[],[[]]]] => [[[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[]]] => [[[],[[]]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[]],[[[],[]]]] => [[[[],[]]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[]],[[[[]]]]] => [[[[[]]]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[]],[[],[]],[[],[]]] => [[[],[]],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[]],[[],[]],[[[]]]] => [[[[]]],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[]],[[[]]],[[],[]]] => [[[],[]],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[]],[[[]]],[[[]]]] => [[[[]]],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[],[]],[[],[],[],[]]] => [[[],[],[],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[],[]],[[],[],[[]]]] => [[[[]],[],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[],[]],[[],[[]],[]]] => [[[],[[]],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[],[]],[[],[[[]]]]] => [[[[[]]],[]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[],[]],[[[]],[],[]]] => [[[],[],[[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[],[]],[[[]],[[]]]] => [[[[]],[[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[],[]],[[[],[],[]]]] => [[[[],[],[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[],[]],[[[],[[]]]]] => [[[[[]],[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[],[]],[[[[]]],[]]] => [[[],[[[]]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[],[]],[[[[]],[]]]] => [[[[],[[]]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[],[]],[[[[],[]]]]] => [[[[[],[]]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[],[]],[[[[[]]]]]] => [[[[[[]]]]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[],[]],[],[[],[[]]]] => [[[[]],[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[],[]],[],[[[]],[]]] => [[[],[[]]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[],[]],[],[[[],[]]]] => [[[[],[]]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[],[]],[],[[[[]]]]] => [[[[[]]]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[]],[[]],[[],[]]] => [[[],[]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[],[]],[[]],[[[]]]] => [[[[]]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[],[]],[[],[],[]]] => [[[],[],[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[],[]],[[],[[]]]] => [[[[]],[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[],[]],[[[]],[]]] => [[[],[[]]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[],[],[]],[[[],[]]]] => [[[[],[]]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[],[]],[[[[]]]]] => [[[[[]]]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[],[]],[],[[],[]]] => [[[],[]],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[],[],[]],[],[[[]]]] => [[[[]]],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[],[]],[[],[]]] => [[[],[]],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[],[]],[[[]]]] => [[[[]]],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[],[[]]],[[]]] => [[[]],[[[]],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[],[[]],[]],[]] => [[],[[],[[]],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[],[[],[]]],[]] => [[],[[[],[]],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[],[[[]]]],[]] => [[],[[[[]]],[],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[],[[]]],[[],[]]] => [[[],[]],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[],[[]]],[[[]]]] => [[[[]]],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[],[[]],[]],[[]]] => [[[]],[[],[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[],[[]],[]],[],[]] => [[],[],[[],[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[],[[]],[],[]],[]] => [[],[[],[],[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[],[[]],[[]]],[]] => [[],[[[]],[[]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[],[],[[],[]]],[[]]] => [[[]],[[[],[]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[],[[],[]]],[],[]] => [[],[],[[[],[]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[],[[],[]],[]],[]] => [[],[[],[[],[]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[],[[],[],[]]],[]] => [[],[[[],[],[]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[],[[],[[]]]],[]] => [[],[[[[]],[]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[],[[[]]]],[[]]] => [[[]],[[[[]]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[],[[[]]]],[],[]] => [[],[],[[[[]]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[],[[[]]],[]],[]] => [[],[[],[[[]]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[],[[[]],[]]],[]] => [[],[[[],[[]]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[],[[[],[]]]],[]] => [[],[[[[],[]]],[],[]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[],[[[[]]]]],[]] => [[],[[[[[]]]],[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[],[[]]],[[],[],[]]] => [[[],[],[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[],[[]]],[[],[[]]]] => [[[[]],[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[],[[]]],[[[]],[]]] => [[[],[[]]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[],[[]]],[[[],[]]]] => [[[[],[]]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[]]],[[[[]]]]] => [[[[[]]]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[],[[]]],[],[[],[]]] => [[[],[]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[],[[]]],[],[[[]]]] => [[[[]]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[],[[]],[]],[[],[]]] => [[[],[]],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[],[[]],[]],[[[]]]] => [[[[]]],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[],[[]],[],[]],[[]]] => [[[]],[[],[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[],[[]],[],[]],[],[]] => [[],[],[[],[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[[]],[],[],[]],[]] => [[],[[],[],[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[],[[]],[],[[]]],[]] => [[],[[[]],[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[],[[]],[[]]],[],[]] => [[],[],[[[]],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[[]],[]],[]] => [[],[[],[[]],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[],[[]],[[],[]]],[]] => [[],[[[],[]],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[],[[]],[[[]]]],[]] => [[],[[[[]]],[[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[],[[],[]]],[[[]]]] => [[[[]]],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[],[[],[]],[]],[[]]] => [[[]],[[],[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[],[[],[]],[]],[],[]] => [[],[],[[],[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[],[[],[]],[],[]],[]] => [[],[[],[],[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[],[[],[]],[[]]],[]] => [[],[[[]],[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[],[[],[],[]]],[[]]] => [[[]],[[[],[],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[],[]]],[],[]] => [[],[],[[[],[],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[],[]],[]],[]] => [[],[[],[[],[],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[],[]]],[]] => [[],[[[],[],[],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[],[[]]]],[]] => [[],[[[[]],[],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[],[[],[[]]]],[[]]] => [[[]],[[[[]],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[],[[],[[]]]],[],[]] => [[],[],[[[[]],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[],[[],[[]]],[]],[]] => [[],[[],[[[]],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[],[[],[[]],[]]],[]] => [[],[[[],[[]],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[],[[],[[[]]]]],[]] => [[],[[[[[]]],[]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[[]]]],[[],[]]] => [[[],[]],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[],[[[]]]],[[[]]]] => [[[[]]],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[],[[[]]],[]],[[]]] => [[[]],[[],[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[],[[[]]],[]],[],[]] => [[],[],[[],[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[],[[[]]],[],[]],[]] => [[],[[],[],[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[],[[[]]],[[]]],[]] => [[],[[[]],[[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[],[[[]],[]]],[[]]] => [[[]],[[[],[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[],[[[]],[]]],[],[]] => [[],[],[[[],[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[],[[[]],[]],[]],[]] => [[],[[],[[],[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[],[[[]],[],[]]],[]] => [[],[[[],[],[[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[],[[[]],[[]]]],[]] => [[],[[[[]],[[]]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[],[[[],[]]]],[[]]] => [[[]],[[[[],[]]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[],[[[],[]]]],[],[]] => [[],[],[[[[],[]]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[],[[[],[]]],[]],[]] => [[],[[],[[[],[]]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[],[[[],[],[]]]],[]] => [[],[[[[],[],[]]],[]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[],[[[],[[]]]]],[]] => [[],[[[[[]],[]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[],[[[[]]]]],[[]]] => [[[]],[[[[[]]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[],[[[[]]]]],[],[]] => [[],[],[[[[[]]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[],[[[[]]]],[]],[]] => [[],[[],[[[[]]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[],[[[[]]],[]]],[]] => [[],[[[],[[[]]]],[]]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[],[[[[]],[]]]],[]] => [[],[[[[],[[]]]],[]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[],[[[[],[]]]]],[]] => [[],[[[[[],[]]]],[]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[],[[[[[]]]]]],[]] => [[],[[[[[[]]]]],[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[]]],[[],[],[],[]]] => [[[],[],[],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[[[]]],[[],[],[[]]]] => [[[[]],[],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[[[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[]]],[[],[[[]]]]] => [[[[[]]],[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[[[]]],[[[]],[],[]]] => [[[],[],[[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[[[]]],[[[]],[[]]]] => [[[[]],[[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[[]]],[[[],[],[]]]] => [[[[],[],[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[[]]],[[[],[[]]]]] => [[[[[]],[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[[]]],[[[[]]],[]]] => [[[],[[[]]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[[]]],[[[[]],[]]]] => [[[[],[[]]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[]]],[[[[],[]]]]] => [[[[[],[]]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[]]],[],[[],[],[]]] => [[[],[],[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[[]]],[],[[],[[]]]] => [[[[]],[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[]]],[],[[[]],[]]] => [[[],[[]]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[]]],[],[[[],[]]]] => [[[[],[]]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[]]],[],[[[[]]]]] => [[[[[]]]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[]]],[[]],[[[]]]] => [[[[]]],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[[]],[]],[[],[],[]]] => [[[],[],[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[[]],[]],[[],[[]]]] => [[[[]],[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[[[]],[]],[[[],[]]]] => [[[[],[]]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[[]],[]],[[[[]]]]] => [[[[[]]]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[]],[]],[],[[],[]]] => [[[],[]],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[[]],[]],[],[[[]]]] => [[[[]]],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[[[]],[],[]],[[],[]]] => [[[],[]],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[[[]],[],[]],[[[]]]] => [[[[]]],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[],[]],[],[]] => [[],[],[[],[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[[]],[[]]],[[],[]]] => [[[],[]],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[[]],[[]]],[[[]]]] => [[[[]]],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[[[],[]]],[[],[],[]]] => [[[],[],[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[],[]]],[[],[[]]]] => [[[[]],[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[[[],[]]],[[[]],[]]] => [[[],[[]]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[],[]]],[[[],[]]]] => [[[[],[]]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[],[]]],[[[[]]]]] => [[[[[]]]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[],[]]],[],[[],[]]] => [[[],[]],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[],[]]],[],[[[]]]] => [[[[]]],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[],[]],[]],[[[]]]] => [[[[]]],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[],[]]],[[],[]]] => [[[],[]],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[],[]]],[[[]]]] => [[[[]]],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[],[]],[]],[[]]] => [[[]],[[],[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[],[]]],[[]]] => [[[]],[[[],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[[[],[],[[]]]],[[]]] => [[[]],[[[[]],[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[],[[]]]],[],[]] => [[],[],[[[[]],[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[[]]]],[[],[]]] => [[[],[]],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[],[[]]]],[[[]]]] => [[[[]]],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[],[[]],[]]],[[]]] => [[[]],[[[],[[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[],[[]],[]]],[],[]] => [[],[],[[[],[[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[],[[],[]]]],[[]]] => [[[]],[[[[],[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[],[[],[]]]],[],[]] => [[],[],[[[[],[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[],[[[]]]]],[[]]] => [[[]],[[[[[]]],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[],[[[]]]]],[],[]] => [[],[],[[[[[]]],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[]]]],[[],[],[]]] => [[[],[],[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[[[]]]],[[],[[]]]] => [[[[]],[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[[]]]],[[[]],[]]] => [[[],[[]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[]]]],[[[],[]]]] => [[[[],[]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[]]]],[],[[],[]]] => [[[],[]],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[[]]]],[],[[[]]]] => [[[[]]],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[]]],[]],[[],[]]] => [[[],[]],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[[]]],[]],[[[]]]] => [[[[]]],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[[]],[]]],[[],[]]] => [[[],[]],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[[]],[]]],[[[]]]] => [[[[]]],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[[],[]]]],[[[]]]] => [[[[]]],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[],[]]]],[[]]] => [[[]],[[[[],[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[]]]]],[[],[]]] => [[[],[]],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[]]]]],[[[]]]] => [[[[]]],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[[],[]]]]],[[]]] => [[[]],[[[[[],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[[],[]]]]],[],[]] => [[],[],[[[[[],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[]]]]]]],[[]]] => [[[]],[[[[[[[]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[]]]]]]]]]] => [[[[[[[[[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[]]]]]]]],[[]]] => [[[]],[[[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[],[]]]]]],[[]]] => [[[]],[[[[[[],[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[],[]]]]]]]]] => [[[[[[[[[],[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[]],[]]]]]]]] => [[[[[[[[],[[]]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[],[[]]]]]]]]] => [[[[[[[[[]],[]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[]]]]]]]]]] => [[[[[[[[[[],[]]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[]]],[]]]]]]] => [[[[[[[],[[[]]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[],[]]]]]]]] => [[[[[[[[],[],[]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[]],[]]]]]]]]] => [[[[[[[[[],[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[],[]]]]]]]]]]] => [[[[[[[[[[[],[]]]]]]]]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[],[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]],[]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[]]]],[]]]]]] => [[[[[[],[[[[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[[]]],[]]]]]]]] => [[[[[[[[],[[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[]],[[]]]]]]]] => [[[[[[[[]],[[]]]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[],[[],[]]]]]]]] => [[[[[[[[],[]],[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[],[],[]]]]]]]]] => [[[[[[[[[],[],[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[]],[]]]]]]]]]] => [[[[[[[[[[],[[]]]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[]]]]],[]]]]] => [[[[[],[[[[[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[[]]]],[]]]]]]] => [[[[[[[],[[[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[]],[],[]]]]]]] => [[[[[[[],[],[[]]]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[],[[]],[]]]]]]] => [[[[[[[],[[]],[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[]],[[]]]]]]]]] => [[[[[[[[[]],[[]]]]]]]]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[],[[[],[]]]]]]]] => [[[[[[[[],[]]],[]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[],[[],[]]]]]]]]] => [[[[[[[[[],[]],[]]]]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[]]]]]],[[[]]]] => [[[[]]],[[[[[[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[]]]]]],[]]]] => [[[[],[[[[[[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[[]]]]],[]]]]]] => [[[[[[],[[[[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [[[[[[[[]]],[[]]]]]]] => [[[[[[[]],[[[]]]]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[]]]]]]] => [[[[[[[],[],[],[]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[]]]]]]],[]]] => [[[],[[[[[[[]]]]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[],[]]]]],[[[]]]] => [[[[]]],[[[[[],[]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[[]]]]]],[]]]]] => [[[[[],[[[[[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[[]]],[[]]]]]]]] => [[[[[[[[]],[[[]]]]]]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[],[]]]]]]] => [[[[[[[],[],[]],[]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[],[],[]]]]]]]] => [[[[[[[[],[],[],[]]]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[],[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]],[]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]],[]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[[]]]]]]],[[[]]]] => [[[[]]],[[[[[[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[],[]]]]]],[]]] => [[[],[[[[[[],[]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[]]]]]]],[]]]] => [[[[],[[[[[[[]]]]]]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[],[[]]]]],[[[]]]] => [[[[]]],[[[[[]],[]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[],[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]],[]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[],[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]],[]]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[]]]]]]]]]] => [[[[[[[[[[]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[]]]]]]]],[]]] => [[[],[[[[[[[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[[[[[[]],[]]]]],[]]] => [[[],[[[[[],[[]]]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[],[]]]]]] => [[[[[[],[],[],[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[[]]],[[[]]]]]]] => [[[[[[[]]],[[[]]]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]],[]]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[],[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]],[]]]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[],[]]]]]]]]] => [[[[[[[[[],[]]]]]]]],[]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[],[[[[[[[[]]]]]]]]]] => [[[[[[[[[[]]]]]]]],[]]]
[] => [] => [] => []
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[],[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]],[]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[],[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]],[]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[[]]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[]],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]],[]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[],[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[],[]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[],[]] => [[],[],[],[],[],[[[[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[],[]] => [[],[],[],[],[[[[[]]]]]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[],[[[]]]]]]],[]] => [[],[[[[[[[]]],[]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[]] => [[],[],[],[[[[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[[]],[[]]]]]],[]] => [[],[[[[[[]],[[]]]]]]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[],[[]]]]]]],[]] => [[],[[[[[[[]],[]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[]]]]]]],[],[]] => [[],[],[[[[[[[]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[[]],[]]]]]],[]] => [[],[[[[[[],[[]]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[]]]]]]],[]] => [[],[[[[[[[],[]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[]]]]]]]],[]] => [[],[[[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[],[]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[],[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[],[]]]] => [[[[],[],[],[],[],[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[],[[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[],[],[],[]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[],[],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[[[]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[],[],[]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[[[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[],[]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[],[]]]]]] => [[[[[[],[],[],[]],[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[]]]]]] => [[[[[[],[],[],[],[]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[],[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[],[],[]] => [[],[],[],[],[],[[[[[]]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[],[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[],[]]]]]] => [[[[[[],[],[],[],[],[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[],[[]],[[]]]] => [[[[]],[[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[[]],[],[],[],[]]] => [[[],[],[],[],[[]],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[],[],[[]],[[[[]]]]]] => [[[[[[]]]],[[]],[],[]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]],[]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[],[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[[]]]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[]],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[[]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[]]]],[[[[]]]]]] => [[[[[[]]]],[[[[]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]],[]]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]],[]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[],[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]],[]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[]],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[[]]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[]],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[[]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[]]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[]]]],[[[[[]]]]]] => [[[[[[]]]]],[[[[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[]]]]],[[[[]]]]] => [[[[[]]]],[[[[[]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[],[],[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]],[],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[[]],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[[]]]]],[[[[]]]]]] => [[[[[[]]]],[[[[[]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[],[]],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[]],[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]],[[]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[]]],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[[[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[]]]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[[[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]],[[[[[]]]]]] => [[[[[[]]]]],[[[[[]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[[]]]]]],[[[[]]]]] => [[[[[]]]],[[[[[[]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[]]]]]]]]],[]] => [[],[[[[[[[[[]]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[[]]]]]]]],[]] => [[],[[[[[[[[]],[]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[[]]]]]]]],[]] => [[],[[[[[[[[]]]]]]]],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[[]]]]]]]],[],[]] => [[],[],[[[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[],[]]]]]]]],[]] => [[],[[[[[[[[],[]]]]]]]]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]],[]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[],[]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[],[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[],[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[],[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[],[]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[],[]]]],[[[[]]]]] => [[[[[]]]],[[[[],[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[],[],[]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[],[]]]]]]] => [[[[[[[],[],[],[],[]]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[],[],[],[]]]]] => [[[[[],[],[],[],[[]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[],[]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[],[]]]]]] => [[[[[[],[],[],[]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[],[],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[[]]]],[[[[],[]]]]] => [[[[[],[]]]],[[[[]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[],[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[[]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[[]]]]]]]]]],[]] => [[],[[[[[[[[[[]]]]]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]],[],[]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[],[]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[],[]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[],[],[]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[],[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[],[]]]]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[],[]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[],[]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [[[[[[[]]]],[[[]]]]]] => [[[[[[]]],[[[[]]]]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[],[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]],[],[]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[],[],[[],[],[]],[],[]]] => [[[],[],[[],[],[]],[],[]]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[[]]]]]]]]],[]]] => [[[],[[[[[[[[[]]]]]]]]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[],[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[],[]]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[],[],[]]]]] => [[[[[],[],[],[],[],[]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[],[],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[[]]]]]]],[],[],[]] => [[],[],[],[[[[[[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[],[]] => [[],[],[],[],[[[[[[]]]]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[],[],[]]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]],[]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[],[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[],[],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[[]],[]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[],[]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]],[[]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[],[]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[],[[]]],[],[[],[[]]]]] => [[[[[]],[]],[],[[[]],[]]]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]],[]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[]],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[[]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]],[],[]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[[]]],[]],[]],[]]] => [[[],[[],[[],[[[]],[]]]]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[[]],[[]],[]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[],[[]],[[]],[[]]],[]]] => [[[],[[[]],[[]],[[]],[]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[[]],[]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[]]]]],[]]
Map
inverse promotion
Description
The inverse promotion of a Dyck path.
This is the bijection obtained by applying the inverse of Schützenberger's promotion to the corresponding two rowed standard Young tableau.
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 D1,…,Dk of respective semilengths n1,…,nk (so one has n=n1+…nk) each of which has no returns.
Denote by ˜Di the path of semilength ni−1 obtained from Di 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 T1,…,Tk which are again ordered trees computed from D1,…,Dk 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.