edit this map or download as text // json
Identifier
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Images
[] => []
[1,0] => [[]]
[1,0,1,0] => [[],[]]
[1,1,0,0] => [[[]]]
[1,0,1,0,1,0] => [[],[],[]]
[1,0,1,1,0,0] => [[],[[]]]
[1,1,0,0,1,0] => [[[]],[]]
[1,1,0,1,0,0] => [[[],[]]]
[1,1,1,0,0,0] => [[[[]]]]
[1,0,1,0,1,0,1,0] => [[],[],[],[]]
[1,0,1,0,1,1,0,0] => [[],[],[[]]]
[1,0,1,1,0,0,1,0] => [[],[[]],[]]
[1,0,1,1,0,1,0,0] => [[],[[],[]]]
[1,0,1,1,1,0,0,0] => [[],[[[]]]]
[1,1,0,0,1,0,1,0] => [[[]],[],[]]
[1,1,0,0,1,1,0,0] => [[[]],[[]]]
[1,1,0,1,0,0,1,0] => [[[],[]],[]]
[1,1,0,1,0,1,0,0] => [[[],[],[]]]
[1,1,0,1,1,0,0,0] => [[[],[[]]]]
[1,1,1,0,0,0,1,0] => [[[[]]],[]]
[1,1,1,0,0,1,0,0] => [[[[]],[]]]
[1,1,1,0,1,0,0,0] => [[[[],[]]]]
[1,1,1,1,0,0,0,0] => [[[[[]]]]]
[1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[]]
[1,0,1,0,1,0,1,1,0,0] => [[],[],[],[[]]]
[1,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[]]
[1,0,1,0,1,1,0,1,0,0] => [[],[],[[],[]]]
[1,0,1,0,1,1,1,0,0,0] => [[],[],[[[]]]]
[1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[]]
[1,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]]]
[1,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[]]
[1,0,1,1,0,1,0,1,0,0] => [[],[[],[],[]]]
[1,0,1,1,0,1,1,0,0,0] => [[],[[],[[]]]]
[1,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[]]
[1,0,1,1,1,0,0,1,0,0] => [[],[[[]],[]]]
[1,0,1,1,1,0,1,0,0,0] => [[],[[[],[]]]]
[1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]]
[1,1,0,0,1,0,1,0,1,0] => [[[]],[],[],[]]
[1,1,0,0,1,0,1,1,0,0] => [[[]],[],[[]]]
[1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[]]
[1,1,0,0,1,1,0,1,0,0] => [[[]],[[],[]]]
[1,1,0,0,1,1,1,0,0,0] => [[[]],[[[]]]]
[1,1,0,1,0,0,1,0,1,0] => [[[],[]],[],[]]
[1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[]]]
[1,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,0] => [[[],[],[],[]]]
[1,1,0,1,0,1,1,0,0,0] => [[[],[],[[]]]]
[1,1,0,1,1,0,0,0,1,0] => [[[],[[]]],[]]
[1,1,0,1,1,0,0,1,0,0] => [[[],[[]],[]]]
[1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]]
[1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]]
[1,1,1,0,0,0,1,0,1,0] => [[[[]]],[],[]]
[1,1,1,0,0,0,1,1,0,0] => [[[[]]],[[]]]
[1,1,1,0,0,1,0,0,1,0] => [[[[]],[]],[]]
[1,1,1,0,0,1,0,1,0,0] => [[[[]],[],[]]]
[1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]]
[1,1,1,0,1,0,0,0,1,0] => [[[[],[]]],[]]
[1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]]
[1,1,1,0,1,0,1,0,0,0] => [[[[],[],[]]]]
[1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]]
[1,1,1,1,0,0,0,0,1,0] => [[[[[]]]],[]]
[1,1,1,1,0,0,0,1,0,0] => [[[[[]]],[]]]
[1,1,1,1,0,0,1,0,0,0] => [[[[[]],[]]]]
[1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]]
[1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[[]]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[[]],[]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[[[]]]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[],[]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[[],[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[],[],[]]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[[],[[]]]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[[[]]],[]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[[[]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[[[],[]]]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[[[[]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[],[],[]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[],[[]]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[],[]]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [[],[[],[]],[],[]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [[],[[],[]],[[]]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [[],[[],[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[]]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [[],[[],[],[[]]]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [[],[[],[[]]],[]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [[],[[],[[]],[]]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [[],[[],[[],[]]]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [[],[[],[[[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [[],[[[]]],[],[]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [[],[[[]]],[[]]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [[],[[[]],[]],[]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [[],[[[]],[],[]]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]]]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [[],[[[],[]]],[]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]],[]]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [[],[[[],[],[]]]]
>>> Load all 6284 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [[],[[[],[[]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0] => [[],[[[[]]]],[]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [[],[[[[]]],[]]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [[],[[[[]],[]]]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[[[],[]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[[]]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[],[[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[],[[],[]]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[],[[[]]]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[],[]],[]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[],[],[]]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[],[[]]]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[]]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[[],[]]]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [[[],[]],[],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [[[],[]],[],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [[[],[]],[[],[]]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[[]]]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[]],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[]],[[]]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[[]]],[]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [[[],[[]]],[],[]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]]],[[]]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]]],[]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[[]]],[],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[],[]]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[]]]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[]],[],[]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[]],[]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]]],[]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[[],[]]],[],[]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [[[[],[]]],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [[[[],[]],[]],[]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[]]],[]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [[[[],[[]]]],[]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[]]]],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[]]]],[[]]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [[[[[]]],[]],[]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]]
[1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[]]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [[[[[],[]]]],[]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]]
[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] => [[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[[]],[]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[[[]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[[]],[],[]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[[]],[[]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[[],[]],[]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[[],[],[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[[],[[]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[[[]]],[]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[[[]],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[[[],[]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[[[[]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[[]],[],[[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[[]],[[]],[]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[[]],[[],[]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[[]],[[[]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[[],[]],[],[]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[[],[]],[[]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[[]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[[],[[]]],[]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[[],[[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[[],[[],[]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[[],[[[]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[[[]]],[],[]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[[[]]],[[]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[[[]],[]],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[[[]],[],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[[[]],[[]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[[[],[]]],[]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[[[],[]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[[[],[[]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[[[[]]]],[]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[[[[]]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[[[[]],[]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[[[[],[]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[[[[[]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[[]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[[]],[]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[[],[]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[[]],[[]],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]],[[]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[[]],[[],[]],[]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[[]],[[],[],[]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[]],[[[]]],[]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[[]],[[[]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[],[[]],[[[],[]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[[]],[[[[]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[]],[],[[]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[]],[[]],[]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[]],[[],[]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[]],[[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[]],[],[]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[]],[[]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[[]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[[]]],[]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[[]],[]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[[],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[[[]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[[]]],[],[]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[[],[[]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[[]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[[]],[],[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[[]],[[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[[],[]]],[]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[],[[],[[],[]],[]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[[],[[]]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[[],[[[]]]],[]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[[[]]],[]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[[[]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[[[],[]]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[[],[[[[]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[[[]]],[],[[]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[[[]]],[[]],[]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[],[[[]]],[[],[]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[[[]]],[[[]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[[[]],[]],[],[]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[[[]],[]],[[]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[[[]],[],[]],[]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[[[]],[],[[]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[[[]],[[]]],[]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[],[[[]],[[]],[]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[[[]],[[],[]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[],[[[]],[[[]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[]]],[],[]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[]]],[[]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[]],[]],[]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[]],[],[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[]]],[]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[]],[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[]]]],[]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[],[[[],[[]]],[]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[[]],[]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[[],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[],[[[],[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[[[[]]]],[],[]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[],[[[[]]]],[[]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[[[[]]],[]],[]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[[[[]]],[],[]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[[[[]]],[[]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[[[[]],[]]],[]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[[[[]],[]],[]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[[[[]],[],[]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[[[[]],[[]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[[],[]]]],[]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[]]],[]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[],[[[[],[]],[]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[],[[[[],[[]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[[[[[]]]]],[]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[],[[[[[]]]],[]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[],[[[[[]]],[]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[[[[[]],[]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[[[[[],[]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[[[[[[]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[[]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[[],[]]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[[[]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[[]],[],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[[]],[[]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[[],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[[],[],[]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[]],[],[[],[[]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[[[]]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[[[]],[]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[[[],[]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[[[[]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[[]],[],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[[]],[[],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[[]],[[[]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[[],[]],[],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[]],[[],[]],[[]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[[]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[[],[[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[[],[[]],[]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[]],[[],[[],[]]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[[],[[[]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[[[]]],[],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[[[]]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[[[]],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[]],[[[]],[],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[[[]],[[]]]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[[[],[]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[]],[[[],[]],[]]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[]],[[[],[[]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[[[[]]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[]],[[[[]]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[]],[[[[]],[]]]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[[[[],[]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[[[[[]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[[]],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[[],[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[],[]],[],[[[]]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[]],[[]],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[]],[[]],[[]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[]],[[],[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[]],[[],[],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[]],[[],[[]]]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[]],[[[]]],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[]],[[[]],[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[],[]],[[[],[]]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[]],[[[[]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[]],[],[[]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[]],[[]],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[]],[[],[]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[]],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[[]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[[]]],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[[]],[]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[[],[]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[[[]]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[[]]],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[[]]],[[]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[[]],[]],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[[]],[],[]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[[]],[[]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[[],[]]],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[[],[]],[]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[[],[[]]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[[[]]]],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[[[]]],[]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[[[]],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[[[],[]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[[[[]]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[],[[]]],[],[[]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[[]]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[[]]],[[],[]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[[]]],[[[]]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[[]],[]],[],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[[]],[]],[[]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[[]],[],[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[[]],[],[[]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[[]],[[]]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[[]],[[]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[[]],[[],[]]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[[]],[[[]]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[]]],[],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[],[[],[]]],[[]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[]],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[[],[]],[],[]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[]],[[]]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[]]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[]],[]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[[]]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[[]]]],[]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[],[[],[[]]],[]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[[]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[[],[]]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[[[]]]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[[[]]]],[],[]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[[[]]]],[[]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[[[]]],[]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[[[]]],[],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[],[[[]]],[[]]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[[[]],[]]],[]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[[[]],[]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[[[]],[],[]]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[[[]],[[]]]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[[[],[]]]],[]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[[[],[]]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[[[],[]],[]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[]]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[[[],[[]]]]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[[[[]]]]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[[[[]]]],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[[[[]]],[]]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[],[[[[]],[]]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[[[[],[]]]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[[[[[]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[[]],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[[],[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[[[]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[]]],[[]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[]]],[[]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[]]],[[],[]],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[[]]],[[],[],[]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[]]],[[],[[]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[]]],[[[]]],[]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[[]]],[[[]],[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[]]],[[[],[]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[]]],[[[[]]]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[]],[]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[]],[]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[]],[]],[[],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[]],[]],[[[]]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[]],[],[]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[]],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[[]]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[[]],[]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[[],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[[[]]]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[]],[[]]],[],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[]],[[]]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[]],[[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[]],[[]],[],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[]],[[]],[[]]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[]],[[],[]]],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[]],[[],[]],[]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[]]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[]],[[],[[]]]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[]],[[[]]]],[]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[]],[[[]]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[]],[[[]],[]]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[[]],[[[],[]]]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[]],[[[[]]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[]]],[],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[]]],[[]],[]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]]],[[],[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[]]],[[[]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[]],[]],[],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[]],[]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[]],[],[]],[]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[]],[],[[]]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[]],[[]]],[]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[[],[]],[[]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[]],[[],[]]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[]],[[[]]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[]]],[],[]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[]]],[[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[]],[]],[]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[]],[],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[]],[[]]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[]]],[]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[]],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[[]]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[[]]]],[]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[[]]],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[[]],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[[],[]]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[[[]]]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[[]]]],[],[]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[[],[[]]]],[[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[[]]],[]],[]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[[]]],[],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[[]]],[[]]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[[]],[]]],[]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[[]],[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[[]],[],[]]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[[]],[[]]]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[],[[],[]]]],[]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[[],[]]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[[],[]],[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[]]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[[],[[]]]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[[],[[[]]]]],[]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[[[]]]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[[[]]],[]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[[[]],[]]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[[[],[]]]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[[[[]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[[]]]],[],[[]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[[]]]],[[]],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[[]]]],[[],[]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[[]]]],[[[]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[[]]],[]],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[[]]],[]],[[]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[[]]],[],[]],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[]]],[],[[]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[[]]],[[]]],[]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[[]]],[[]],[]]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[[]]],[[],[]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[[]]],[[[]]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[[]],[]]],[],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[[]],[]]],[[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[[]],[]],[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[[]],[]],[],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[[]],[]],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[]]],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[]],[]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[[]]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[[]],[[]]]],[]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[[]],[[]]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[[]],[[]],[]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[[]],[[],[]]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[[]],[[[]]]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[]]]],[],[]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[]]]],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[]]],[]],[]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[]]],[],[]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[]]],[[]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[]],[]]],[]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[]],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[]],[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[]],[[]]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[]]]],[]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[]]],[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[]],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[]]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[[]]]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[[]]]]],[]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[[]]]],[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[[],[[]]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[[]],[]]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[[],[]]]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[[[]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[[[]]]]],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[[[]]]]],[[]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[[[]]]],[]],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[[[]]]],[],[]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[[[]]]],[[]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[[]]],[]]],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[[]]],[]],[]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[[[]]],[],[]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[[]]],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[[]],[]]]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[]],[]]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[[[]],[]],[]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[[]],[],[]]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[[[]],[[]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[]]]]],[]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[]]]],[]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[]]],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[]],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[]]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[[]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[[[[]]]]]],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[[[[]]]]],[]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[[[]]]],[]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[[]]],[]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[[[]],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[[],[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[[[]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[[]],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[[[]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[[]],[],[]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[[]],[[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[[],[]],[]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[[],[[]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[[[]]],[]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[],[[[]],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[],[[[],[]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[],[[[[]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[],[[]],[],[[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[[]],[[]],[]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[],[[]],[[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[],[[]],[[[]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[]],[],[]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[],[[],[]],[[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[[],[],[]],[]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[],[[],[],[[]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[],[[],[[]]],[]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[],[[],[[]],[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[],[[],[[],[]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[],[[],[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[],[[[]]],[],[]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[],[[[]]],[[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[],[[[]],[]],[]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[],[[[]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[],[[[]],[[]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[],[[[],[]]],[]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[],[[[],[]],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[],[[[],[],[]]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[],[[[],[[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[],[[[[]]]],[]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[],[[[[]]],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[],[[[[]],[]]]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[],[[[[],[]]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[],[[[[[]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[],[[]],[],[],[[]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[],[[]],[]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[],[[]],[],[[],[]]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[],[[]],[],[[[]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[[]],[],[]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]],[[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[],[],[[]],[[],[]],[]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[],[[]],[[],[],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[],[[]],[[],[[]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[],[[]],[[[]]],[]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[],[[]],[[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[],[],[[]],[[[],[]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[],[[]],[[[[]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[],[],[[],[]],[],[[]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[],[],[[],[]],[[]],[]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[],[],[[],[]],[[],[]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[],[],[[],[]],[[[]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[[],[],[]],[],[]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[],[],[[],[],[]],[[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[],[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[],[[]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[],[],[[],[],[[]]],[]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[],[],[[],[],[[]],[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[],[[],[],[[],[]]]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[],[[],[],[[[]]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[],[[],[[]]],[],[]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[],[[],[[]]],[[]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[],[[],[[]],[]],[]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[],[],[[],[[]],[],[]]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[],[[],[[]],[[]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[],[],[[],[[],[]]],[]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[],[],[[],[[],[]],[]]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[],[[],[[],[],[]]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[],[],[[],[[],[[]]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[],[[],[[[]]]],[]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[],[[],[[[]]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[],[[],[[[]],[]]]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[],[[],[[[],[]]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[],[[],[[[[]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[],[[[]]],[],[[]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[[[]]],[[]],[]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[],[],[[[]]],[[],[]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[],[[[]]],[[[]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[],[[[]],[]],[],[]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[],[[[]],[]],[[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[]],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[],[[[]],[],[],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[],[[[]],[],[[]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[],[[[]],[[]]],[]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[],[],[[[]],[[]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[],[[[]],[[],[]]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[],[],[[[]],[[[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[],[[[],[]]],[],[]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[],[],[[[],[]]],[[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[],[],[[[],[]],[]],[]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[[[],[]],[],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[],[],[[[],[]],[[]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[],[],[]]],[]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[],[[[],[],[]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[],[]]]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[],[[[],[],[[]]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[],[],[[[],[[]]]],[]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[],[],[[[],[[]]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[],[[[],[[]],[]]]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[],[[[],[[],[]]]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[],[],[[[],[[[]]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[],[],[[[[]]]],[],[]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[],[],[[[[]]]],[[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[],[],[[[[]]],[]],[]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[],[[[[]]],[],[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[],[[[[]]],[[]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[],[[[[]],[]]],[]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[],[[[[]],[]],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[],[[[[]],[],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[],[[[[]],[[]]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[],[[[[],[]]]],[]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[],[[[[],[]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[],[],[[[[],[]],[]]]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[],[],[[[[],[],[]]]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[],[],[[[[],[[]]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[[[[[]]]]],[]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[],[],[[[[[]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[],[],[[[[[]]],[]]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[],[[[[[]],[]]]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[[[[[],[]]]]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[[[[[[]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[[]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[],[[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[],[[],[]]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[],[[[]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[[]],[],[]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[],[[]],[],[[]],[[]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[],[[]],[],[[],[]],[]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[],[[]],[],[[],[],[]]]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[]],[],[[],[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[]],[],[[[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[],[[]],[],[[[]],[]]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[],[[]],[],[[[],[]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[],[[]],[],[[[[]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[[]],[],[[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[]],[[[]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[],[[]],[[],[]],[],[]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[],[[]],[[],[]],[[]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[],[[]],[[],[],[]],[]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[],[[]],[[],[],[],[]]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[],[[]],[[],[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[],[[]],[[],[[]]],[]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[],[[]],[[],[[]],[]]]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[],[[]],[[],[[],[]]]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[],[[]],[[],[[[]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[],[[]],[[[]]],[],[]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[],[[]],[[[]]],[[]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[],[[]],[[[]],[]],[]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[],[[]],[[[]],[],[]]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[],[[]],[[[]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[],[[]],[[[],[]]],[]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[]],[[[],[]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[],[[]],[[[],[],[]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[],[[]],[[[],[[]]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[[]],[[[[]]]],[]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[],[[]],[[[[]]],[]]]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[[]],[[[[]],[]]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[],[[]],[[[[],[]]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[[]],[[[[[]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[],[[],[]],[],[],[[]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[],[[],[]],[],[[]],[]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[],[[],[]],[],[[],[]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[]],[],[[[]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[],[[],[]],[[]],[],[]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[],[[],[]],[[]],[[]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[[],[]],[]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[],[[],[]],[[],[],[]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[],[[],[]],[[],[[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[]],[[[]]],[]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[],[[],[]],[[[]],[]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[],[[],[]],[[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[],[[],[]],[[[[]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[],[]],[],[[]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[],[[],[],[]],[[]],[]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[],[]],[[],[]]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[],[]],[[[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[],[]],[],[]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[],[]],[[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[],[[]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[],[[]]],[]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[],[[]],[]]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[],[[],[]]]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[],[[[]]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[],[[]]],[],[]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[],[[],[],[[]]],[[]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[],[],[[]],[]],[]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[],[[]],[],[]]]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[],[[]],[[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[],[[],[],[[],[]]],[]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[],[[],[],[[],[]],[]]]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[],[[],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[],[[],[[]]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[],[[],[],[[[]]]],[]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[],[[[]]],[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[],[[[]],[]]]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[],[[[],[]]]]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[],[[],[],[[[[]]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[],[[],[[]]],[],[],[]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[]]],[],[[]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[[],[[]]],[[]],[]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[],[[],[[]]],[[],[]]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[],[[],[[]]],[[[]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[],[[],[[]],[]],[],[]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[],[[],[[]],[]],[[]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[],[[],[[]],[],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[],[[],[[]],[],[],[]]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[],[[],[[]],[],[[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[],[[],[[]],[[]]],[]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[],[[],[[]],[[]],[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[],[[],[[]],[[],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[],[[],[[]],[[[]]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[],[[],[[],[]]],[],[]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[],[[],[[],[]]],[[]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[],[[],[[],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[],[[],[[],[]],[],[]]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[],[[],[[],[]],[[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[],[[],[[],[],[]]],[]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[],[[],[[],[],[]],[]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[],[[],[[],[],[[]]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[],[[],[[]]]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[],[[],[[],[[]]],[]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[],[[],[[],[[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[],[[],[[],[]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[],[[],[[],[[[]]]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[],[[],[[[]]]],[],[]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[],[[],[[[]]]],[[]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[],[[],[[[]]],[]],[]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[],[[],[[[]]],[],[]]]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[],[[],[[[]]],[[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[],[[],[[[]],[]]],[]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[],[[],[[[]],[]],[]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[],[[],[[[]],[],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[],[[],[[[]],[[]]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[],[[[],[]]]],[]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[],[[],[[[],[]]],[]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[],[[],[[[],[]],[]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[],[[],[[[],[],[]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[],[[],[[[],[[]]]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[],[[],[[[[]]]]],[]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[],[[],[[[[]]]],[]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[],[[],[[[[]]],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[],[[],[[[[]],[]]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[],[[],[[[[],[]]]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[[],[[[[[]]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[],[[[]]],[],[],[[]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[]]],[],[[]],[]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[],[[[]]],[],[[],[]]]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[],[[[]]],[],[[[]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[],[[[]]],[[]],[],[]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[],[[[]]],[[]],[[]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[],[[[]]],[[],[]],[]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[],[[[]]],[[],[],[]]]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[],[[[]]],[[],[[]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[[[]]],[]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[],[[[]]],[[[]],[]]]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[],[[[]]],[[[],[]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[]]],[[[[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[],[[[]],[]],[],[],[]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[],[[[]],[]],[],[[]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[[[]],[]],[[]],[]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[],[[[]],[]],[[],[]]]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[],[[[]],[]],[[[]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[],[[[]],[],[]],[],[]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[],[[[]],[],[]],[[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[[[]],[],[],[]],[]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[],[[[]],[],[],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[]],[],[[]]],[]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[],[[[]],[],[[]],[]]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[],[[[]],[],[[],[]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[],[[[]],[],[[[]]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[]],[[]]],[],[]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[],[[[]],[[]]],[[]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[],[[[]],[[]],[]],[]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[],[[[]],[[]],[],[]]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]],[[]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[],[[[]],[[],[]]],[]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[],[[[]],[[],[]],[]]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[],[[[]],[[],[],[]]]]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[],[[[]],[[],[[]]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[],[[[]],[[[]]]],[]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[],[[[]],[[[]]],[]]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[],[[[]],[[[]],[]]]]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[],[[[]],[[[],[]]]]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[],[[[]],[[[[]]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[],[[[],[]]],[],[],[]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[],[[[],[]]],[],[[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[],[[[],[]]],[[]],[]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[],[]]],[[],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[],[[[],[]]],[[[]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[],[[[],[]],[]],[],[]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[],[[[],[]],[]],[[]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[],[[[],[]],[],[]],[]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[[[],[]],[],[],[]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[],[[[],[]],[],[[]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[],[[[],[]],[[]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[],[[[],[]],[[]],[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[],[]],[[],[]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[],[[[],[]],[[[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[],[]]],[],[]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[],[]]],[[]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[],[]],[]],[]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[],[]],[],[]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[],[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[],[]]],[]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[],[]],[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[]]]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[],[[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[],[[]]]],[]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[],[[[],[],[[]]],[]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[],[[]],[]]]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[],[[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[],[[[],[],[[[]]]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[],[[]]]],[],[]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[],[[[],[[]]]],[[]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[],[[]]],[]],[]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[],[[[],[[]]],[],[]]]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[],[[[],[[]]],[[]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[],[[[],[[]],[]]],[]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[],[[[],[[]],[]],[]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[],[[[],[[]],[],[]]]]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[],[[[],[[]],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[],[[[],[[],[]]]],[]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[],[[],[]]],[]]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[],[[[],[[],[]],[]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[],[[[],[[],[],[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[],[[[],[[],[[]]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[],[[[],[[[]]]]],[]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[],[[[],[[[]]]],[]]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[],[[[],[[[]]],[]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[],[[[],[[[]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[],[[[],[[[],[]]]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[],[[[],[[[[]]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[],[[[[]]]],[],[[]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[[]]]],[[]],[]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[],[[[[]]]],[[],[]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[],[[[[]]]],[[[]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[],[[[[]]],[]],[],[]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[],[[[[]]],[]],[[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[],[[[[]]],[],[]],[]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[],[[[[]]],[],[],[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[],[[[[]]],[],[[]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[],[[[[]]],[[]]],[]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[],[[[[]]],[[]],[]]]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[[]]],[[],[]]]]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[],[[[[]]],[[[]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[],[[[[]],[]]],[],[]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[],[[[[]],[]]],[[]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[]],[]],[]],[]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[],[[[[]],[]],[],[]]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[],[[[[]],[]],[[]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[],[[[[]],[],[]]],[]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[],[[[[]],[],[]],[]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[],[[[[]],[],[],[]]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[[[]],[],[[]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[],[[[[]],[[]]]],[]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[],[[[[]],[[]]],[]]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[],[[[[]],[[]],[]]]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[],[[[[]],[[],[]]]]]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[],[[[[]],[[[]]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[],[[[[],[]]]],[],[]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[],[[[[],[]]]],[[]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[]]],[]],[]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[],[[[[],[]]],[],[]]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[[],[]]],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[],[[[[],[]],[]]],[]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[],[[[[],[]],[]],[]]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[],[[[[],[]],[],[]]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[],[[[[],[]],[[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[],[[[[],[],[]]]],[]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[],[[[[],[],[]]],[]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[],[[[[],[],[]],[]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[]]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[[],[],[[]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[[[],[[]]]]],[]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[],[[[[],[[]]]],[]]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[[[[],[[]]],[]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[[[],[[]],[]]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[[[],[[],[]]]]]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[],[[[[],[[[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[],[[[[[]]]]],[],[]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[],[[[[[]]]]],[[]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[],[[[[[]]]],[]],[]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[],[[[[[]]]],[],[]]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[],[[[[[]]]],[[]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[],[[[[[]]],[]]],[]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[],[[[[[]]],[]],[]]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[],[[[[[]]],[],[]]]]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[],[[[[[]]],[[]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[[[]],[]]]],[]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[[[[[]],[]]],[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[[[[]],[]],[]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[]]]]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[],[[[[[]],[[]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[[[],[]]]]],[]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[[[],[]]]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[],[[[[[],[]]],[]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[],[[[[[],[]],[]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[],[[[[[],[[]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[[[[[[]]]]]],[]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[],[[[[[[]]]]],[]]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[],[[[[[[]]]],[]]]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[],[[[[[[]]],[]]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[],[[[[[[]],[]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[[[[[]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[],[[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[],[[[]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[],[[]],[],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[],[[]],[[]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[[],[]],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[],[[],[],[]]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[]],[],[],[[],[[]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[],[[[]]],[]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[],[[[]],[]]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[],[[[],[]]]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[],[[[[]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[],[[]],[],[],[]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[],[[]],[],[[]]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[],[[]],[[]],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[],[[]],[[],[]]]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[],[[]],[[[]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[],[[],[]],[],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[]],[],[[],[]],[[]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[]],[],[[],[],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[],[[],[],[],[]]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[]],[],[[],[],[[]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[],[[],[[]]],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[],[[],[[]],[]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[]],[],[[],[[],[]]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[],[[],[[[]]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[],[[[]]],[],[]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[],[[[]]],[[]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[],[[[]],[]],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[]],[],[[[]],[],[]]]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[],[[[]],[[]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[],[[[],[]]],[]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[]],[],[[[],[]],[]]]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[]],[],[[[],[],[]]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[]],[],[[[],[[]]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[],[[[[]]]],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[]],[],[[[[]]],[]]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[]],[],[[[[]],[]]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[],[[[[],[]]]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[],[[[[[]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[[]],[],[],[[]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[[]],[],[[]],[]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[[]],[],[[],[]]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[[]],[],[[[]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[[]],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[]],[[],[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[]],[[],[],[]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[]],[[],[[]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[]],[[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[]],[[[],[]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[]],[[[[]]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[]],[[],[]],[],[[]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[]],[[],[]],[[]],[]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[]],[[],[]],[[],[]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[]],[[],[]],[[[]]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[]],[[],[],[]],[],[]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[]],[[],[],[]],[[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[],[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[],[[]]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[]],[[],[],[[]]],[]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[[]],[[],[],[[]],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[]],[[],[],[[],[]]]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[]],[[],[],[[[]]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[]],[[],[[]]],[],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[]],[[],[[]]],[[]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[]],[[],[[]],[]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[[]],[[],[[]],[],[]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[]],[[],[[]],[[]]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[]],[[],[[],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[[]],[[],[[],[]],[]]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[[]],[[],[[],[],[]]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[]],[[],[[],[[]]]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[]],[[],[[[]]]],[]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[]],[[],[[[]]],[]]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[[]],[[],[[[]],[]]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[[]],[[],[[[],[]]]]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[[]],[[],[[[[]]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[]],[[[]]],[],[[]]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[]],[[[]]],[[]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[]],[[[]]],[[],[]]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[]],[[[]]],[[[]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[]],[[[]],[]],[],[]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[]],[[[]],[],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[[]],[[[]],[],[],[]]]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[[]],[[[]],[],[[]]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[]],[[[]],[[]]],[]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[[]],[[[]],[[],[]]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[[]],[[[]],[[[]]]]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[]],[[[],[]]],[],[]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[]],[[[],[]]],[[]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[]],[[[],[]],[]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[]],[[[],[]],[],[]]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[[]],[[[],[]],[[]]]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[]],[[[],[],[]]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[[]],[[[],[],[]],[]]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[],[]]]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[[]],[[[],[],[[]]]]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[]],[[[],[[]]]],[]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[[]],[[[],[[]]],[]]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[]],[[[],[[]],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[[]],[[[],[[],[]]]]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[]],[[[],[[[]]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[]],[[[[]]]],[],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[]],[[[[]]]],[[]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[]],[[[[]]],[]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[]],[[[[]]],[],[]]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[[]],[[[[]]],[[]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[]],[[[[]],[]]],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[[]],[[[[]],[],[]]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[]],[[[[]],[[]]]]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[]],[[[[],[]]]],[]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[]],[[[[],[]]],[]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[[]],[[[[],[]],[]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[]],[[[[],[],[]]]]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[[]],[[[[],[[]]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[]],[[[[[]]]]],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[[]],[[[[[]]]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[[]],[[[[[]]],[]]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[[]],[[[[[]],[]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[]],[[[[[],[]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[]],[[[[[[]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[],[[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[],[[],[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[],[]],[],[],[[[]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[],[]],[],[[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[],[]],[],[[]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[],[]],[],[[],[]],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[],[]],[],[[],[],[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[],[]],[],[[],[[]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[],[]],[],[[[]]],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[],[]],[],[[[]],[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[],[]],[],[[[],[]]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[],[]],[],[[[[]]]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[],[]],[[]],[],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[],[]],[[]],[],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[[]],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[]],[[]],[[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[],[]],[[]],[[[]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[],[]],[[],[]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[],[]],[[]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[],[]],[[],[],[],[]]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[[],[]],[[],[],[[]]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[]],[[],[[]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[],[]],[[],[[]],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[]],[[],[[],[]]]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[],[]],[[],[[[]]]]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[],[]],[[[]]],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[],[]],[[[]]],[[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[],[]],[[[]],[]],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[[],[]],[[[]],[],[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[],[]],[[[]],[[]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[],[]],[[[],[]]],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[[],[]],[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[],[]],[[[],[],[]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[[],[]],[[[],[[]]]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[]],[[[[]]]],[]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[],[]],[[[[]]],[]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[],[]],[[[[]],[]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[],[]],[[[[],[]]]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[],[]],[[[[[]]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[],[]],[],[],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[],[]],[],[[]],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[],[]],[],[[],[]]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[],[],[]],[],[[[]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[],[]],[[]],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[],[]],[[]],[[]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[]],[[],[]],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[],[]],[[],[],[]]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[],[]],[[],[[]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[],[]],[[[]]],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[],[]],[[[]],[]]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[],[],[]],[[[],[]]]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[],[]],[[[[]]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[],[]],[],[[]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[]],[[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[],[]],[[],[]]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[],[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[],[]],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[[]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[[]]],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[],[[]],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[[],[]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[[[]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[[]]],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[],[[]]],[[]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[],[[]],[]],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[],[[]],[],[]]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[[]],[[]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[],[[],[]]],[]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[],[[],[]],[]]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[],[[],[],[]]]]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[],[[],[[]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[],[[[]]]],[]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[],[[[]]],[]]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[],[[[]],[]]]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[],[[[],[]]]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[[[[]]]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[],[],[[]]],[],[[]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[],[[]]],[[]],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[],[[]]],[[],[]]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[],[[]]],[[[]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[],[[]],[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[],[[]],[]],[[]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[],[[]],[],[]],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[[]],[],[],[]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[],[[]],[],[[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[],[[]],[[]]],[]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[],[[]],[[]],[]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[],[[]],[[],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[],[[]],[[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[],[],[[],[]]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[],[],[[],[]]],[[]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[],[],[[],[]],[]],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[],[[],[]],[],[]]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[],[],[[],[]],[[]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[],[[],[],[]]],[]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[],[[],[],[]],[]]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[],[]]]]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[],[[],[],[[]]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[],[[],[[]]]],[]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[],[],[[],[[]]],[]]]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[],[[],[[]],[]]]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[],[[],[[],[]]]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[],[[],[[[]]]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[],[],[[[]]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[],[[[]]]],[[]]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[],[],[[[]]],[]],[]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[],[[[]]],[],[]]]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[],[],[[[]]],[[]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[],[[[]],[]]],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[],[[[]],[]],[]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[],[[[]],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[],[[[]],[[]]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[],[[[],[]]]],[]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[],[[[],[]]],[]]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[],[[[],[]],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[],[[[],[],[]]]]]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[],[[[],[[]]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[],[[[[]]]]],[]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[],[[[[]]]],[]]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[],[[[[]]],[]]]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[],[],[[[[]],[]]]]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[],[[[[],[]]]]]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[[[[[]]]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[],[[]]],[],[],[[]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[],[[]]],[],[[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[],[[]]],[],[[],[]]]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[],[[]]],[],[[[]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[]]],[[]],[],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[],[[]]],[[]],[[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[],[[]]],[[],[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[],[[]]],[[],[],[]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[],[[]]],[[],[[]]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[],[[]]],[[[]]],[]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[],[[]]],[[[]],[]]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[],[[]]],[[[],[]]]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[]]],[[[[]]]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[],[[]],[]],[],[],[]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[],[[]],[]],[],[[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[],[[]],[]],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[],[[]],[]],[[],[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[],[[]],[]],[[[]]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[],[[]],[],[]],[],[]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[],[[]],[],[]],[[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[[]],[],[],[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[],[[]],[],[],[[]]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[],[[]],[],[[]]],[]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[],[[]],[],[[]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[],[[]],[],[[],[]]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[],[[]],[],[[[]]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[],[[]],[[]]],[],[]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[],[[]],[[]]],[[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[[]],[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[[]],[],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]],[[]]]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[],[[]],[[],[]]],[]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[],[[]],[[],[]],[]]]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[],[[]],[[],[],[]]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[],[[]],[[],[[]]]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[],[[]],[[[]]]],[]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[],[[]],[[[]]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[],[[]],[[[]],[]]]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[],[[]],[[[],[]]]]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[],[[]],[[[[]]]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[],[[],[]]],[],[],[]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[],[[],[]]],[],[[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[],[]]],[[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[],[[],[]]],[[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[],[[],[]],[]],[],[]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[],[[],[]],[]],[[]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[],[[],[]],[],[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[],[[],[]],[],[],[]]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[],[[],[]],[],[[]]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[],[[],[]],[[]]],[]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[],[[],[]],[[]],[]]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[[],[]],[[],[]]]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[],[[],[]],[[[]]]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[],[[],[],[]]],[],[]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[],[[],[],[]]],[[]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[],[[],[],[]],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[],[[],[],[]],[],[]]]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[],[]],[[]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[],[]]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[],[]],[]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[]]]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[],[[]]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[],[[]]]],[]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[],[[],[],[[]]],[]]]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[],[[]],[]]]]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[],[[],[]]]]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[],[[[]]]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[],[[],[[]]]],[],[]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[],[[],[[]]]],[[]]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[],[[],[[]]],[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[],[[],[[]]],[],[]]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[],[[],[[]]],[[]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[],[[],[[]],[]]],[]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[],[[],[[]],[]],[]]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[],[[],[[]],[],[]]]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[],[[],[[]],[[]]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[],[[],[[],[]]]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[],[[],[]]],[]]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[],[[],[]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[],[[],[[],[],[]]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[],[[],[[],[[]]]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[],[[],[[[]]]]],[]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[],[[],[[[]]]],[]]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[],[[],[[[]]],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[],[[],[[[]],[]]]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[],[[],[[[],[]]]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[],[[],[[[[]]]]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[],[[[]]]],[],[],[]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[],[[[]]]],[],[[]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[],[[[]]]],[[]],[]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[[]]]],[[],[]]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[],[[[]]]],[[[]]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[],[[[]]],[]],[],[]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[],[[[]]],[]],[[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[],[[[]]],[],[]],[]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[],[[[]]],[],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[],[[[]]],[],[[]]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[],[[[]]],[[]]],[]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[],[[[]]],[[]],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[],[[[]]],[[],[]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[],[[[]]],[[[]]]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[],[[[]],[]]],[],[]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[],[[[]],[]]],[[]]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[],[[[]],[]],[]],[]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[],[[[]],[]],[],[]]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[],[[[]],[]],[[]]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[],[[[]],[],[]]],[]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[],[[[]],[],[]],[]]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[],[[[]],[],[],[]]]]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[],[[[]],[],[[]]]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[],[[[]],[[]]]],[]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[],[[[]],[[]]],[]]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[],[[[]],[[]],[]]]]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[],[[[]],[[],[]]]]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[],[[[]],[[[]]]]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[],[[[],[]]]],[],[]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[],[[[],[]]]],[[]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[],[[[],[]]],[]],[]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[],[[[],[]]],[],[]]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[],[[[],[]]],[[]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[],[[[],[]],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[[[],[]],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[],[[[],[]],[],[]]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[],[[[],[]],[[]]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[],[[[],[],[]]]],[]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[],[[[],[],[]]],[]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[],[[[],[],[]],[]]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[],[]]]]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[],[[[],[],[[]]]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[],[[[],[[]]]]],[]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[],[[[],[[]]]],[]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[[],[[]]],[]]]]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[],[[[],[[]],[]]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[[[],[[],[]]]]]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[],[[[],[[[]]]]]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[],[[[[]]]]],[],[]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[],[[[[]]]]],[[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[],[[[[]]]],[]],[]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[],[[[[]]]],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[],[[[[]]]],[[]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[],[[[[]]],[]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[],[[[[]]],[]],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[],[[[[]]],[],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[],[[[[]]],[[]]]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[],[[[[]],[]]]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[],[[[[]],[]]],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[],[[[[]],[]],[]]]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[],[[[[]],[],[]]]]]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[],[[[[]],[[]]]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[],[[[[],[]]]]],[]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[[[],[]]]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[],[[[[],[]]],[]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[],[[[[],[]],[]]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[],[],[]]]]]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[],[[[[],[[]]]]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[],[[[[[]]]]]],[]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[],[[[[[]]]]],[]]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[],[[[[[]]]],[]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[],[[[[[]]],[]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[],[[[[[]],[]]]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[],[[[[[],[]]]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[[[[[[]]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[],[[]],[]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[],[[],[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[],[[[]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[]]],[],[[]],[],[]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[]]],[],[[]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[]]],[],[[],[]],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[]]],[],[[],[],[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[[]]],[],[[],[[]]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[]]],[],[[[]]],[]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[]]],[],[[[]],[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[]]],[],[[[],[]]]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[]]],[],[[[[]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[]]],[[]],[],[[]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[[]],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[]]],[[]],[[],[]]]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[]]],[[]],[[[]]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[]]],[[],[]],[],[]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[[]]],[[],[]],[[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[]]],[[],[],[]],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[]]],[[],[],[],[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[[[]]],[[],[],[[]]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[]]],[[],[[]]],[]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[[[]]],[[],[[]],[]]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[]]],[[],[[],[]]]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[]]],[[],[[[]]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[]]],[[[]]],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[]]],[[[]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[]]],[[[]],[]],[]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[[[]]],[[[]],[],[]]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[[[]]],[[[]],[[]]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[]]],[[[],[]]],[]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[]]],[[[],[]],[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[[]]],[[[],[],[]]]]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[[]]],[[[],[[]]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[]]],[[[[]]]],[]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[[]]],[[[[]]],[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[[]]],[[[[]],[]]]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[]]],[[[[],[]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[]]],[[[[[]]]]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[]],[]],[],[],[[]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[]],[]],[],[[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[]],[]],[],[[],[]]]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[[]],[]],[],[[[]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[]],[]],[[]],[],[]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[]],[]],[[],[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[[]],[]],[[],[],[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[[]],[]],[[],[[]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[]],[]],[[[]]],[]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[[[]],[]],[[[],[]]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[[]],[]],[[[[]]]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[]],[],[]],[],[],[]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [[[[]],[],[]],[],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[]],[],[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[[[]],[],[]],[[],[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[[[]],[],[]],[[[]]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[],[]],[],[]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[],[]],[[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[],[[]]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[[]],[],[],[[]]],[]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[],[[]],[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[],[[],[]]]]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[],[[[]]]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[]],[],[[]]],[],[]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[[]],[],[[]]],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[[]],[],[[]],[]],[]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[[]],[],[[]],[],[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[[[]],[],[[]],[[]]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[[]],[],[[],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[[]],[],[[],[]],[]]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[]],[],[[],[],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[]],[],[[],[[]]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[[]],[],[[[]]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[]],[],[[[]]],[]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[]],[],[[[]],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[[]],[],[[[],[]]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[]],[],[[[[]]]]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[]],[[]]],[],[],[]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[[]],[[]]],[],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[]],[[]]],[[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[[]],[[]]],[[],[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[[]],[[]]],[[[]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[[]],[]],[],[]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[[]],[],[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[[]],[],[],[]]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[[]],[],[[]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[]],[[],[]]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[]],[[[]]]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[]],[[],[]]],[],[]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[[[]],[[],[]]],[[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[[]],[[],[]],[]],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[[[]],[[],[]],[],[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[[[]],[[],[]],[[]]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[[]],[[],[],[]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[[[]],[[],[],[]],[]]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[],[]]]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[]],[[],[],[[]]]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[[]],[[],[[]]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[[[]],[[],[[]]],[]]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[[]],[[],[[]],[]]]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[]],[[],[[],[]]]]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[[]],[[],[[[]]]]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[]],[[[]]]],[],[]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[[]],[[[]]]],[[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[[]],[[[]]],[]],[]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[[]],[[[]]],[],[]]]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[[]],[[[]]],[[]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[[]],[[[]],[]]],[]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[]],[[[]],[],[]]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[]],[[[]],[[]]]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[[]],[[[],[]]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[]],[[[],[]]],[]]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[]],[[[],[]],[]]]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[]],[[[],[],[]]]]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[[]],[[[],[[]]]]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[[]],[[[[]]]]],[]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[[]],[[[[]]]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [[[[]],[[[[]]],[]]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[[[]],[[[[]],[]]]]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[]],[[[[],[]]]]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[]],[[[[[]]]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[],[]]],[],[],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[],[]]],[],[[]],[]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[],[]]],[],[[],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[[],[]]],[],[[[]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[]]],[[]],[],[]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[],[]]],[[]],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[],[]]],[[],[]],[]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[[[],[]]],[[],[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[],[]]],[[],[[]]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[],[]]],[[[]]],[]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[[[],[]]],[[[]],[]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[],[]]],[[[],[]]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[],[]]],[[[[]]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[],[]],[]],[],[],[]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[[],[]],[]],[],[[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[],[]],[]],[[]],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[],[]],[]],[[[]]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[],[]],[],[]],[],[]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[],[]],[],[]],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[],[]],[],[],[]],[]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[],[]],[],[],[[]]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[],[]],[],[[]]],[]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[[[],[]],[],[[]],[]]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[],[]],[],[[],[]]]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[],[]],[],[[[]]]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[],[]],[[]]],[],[]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[],[]],[[]]],[[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[],[]],[[]],[]],[]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[],[]],[[]],[],[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[],[]],[[]],[[]]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[],[]],[[],[]]],[]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[],[]],[[],[]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[],[]],[[],[],[]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[],[]],[[],[[]]]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[[],[]],[[[]]]],[]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[]],[[[]]],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[],[]],[[[]],[]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [[[[],[]],[[[],[]]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[],[]],[[[[]]]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[],[]]],[],[[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[],[]]],[[]],[]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[],[]]],[[],[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[],[]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[],[]],[]],[],[]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[],[]],[]],[[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[],[]],[],[]],[]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[],[]],[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[],[]],[],[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[],[]],[[]]],[]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [[[[],[],[]],[[]],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[],[]],[[],[]]]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[],[]],[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[]]],[],[]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[],[]]],[[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[],[]],[]],[]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[],[]],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[],[]],[[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[]],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[],[[]]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[],[[]]]],[]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[],[[]]],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[],[[]],[]]]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[],[[],[]]]]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[],[[[]]]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[],[[]]]],[],[]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[[[],[],[[]]]],[[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[],[[]]],[]],[]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[],[[]]],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[],[[]]],[[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[],[[]],[]]],[]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[],[[]],[]],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[],[[]],[],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[],[[]],[[]]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[],[],[[],[]]]],[]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[],[[],[]]],[]]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[],[[],[]],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[],[[],[],[]]]]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[],[[],[[]]]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[[[],[],[[[]]]]],[]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[],[[[]]]],[]]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[],[[[]]],[]]]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[],[[[]],[]]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[[[],[]]]]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[],[[[[]]]]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[],[[]]]],[],[],[]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[],[[]]]],[],[[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[],[[]]]],[[]],[]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[[]]]],[[],[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[],[[]]]],[[[]]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[],[[]]],[]],[],[]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[],[[]]],[]],[[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[],[[]]],[],[]],[]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[],[[]]],[],[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[[]]],[],[[]]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[],[[]]],[[]]],[]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[],[[]]],[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[],[[]]],[[],[]]]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[],[[]]],[[[]]]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[],[[]],[]]],[],[]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[],[[]],[]]],[[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[],[[]],[]],[]],[]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[],[[]],[]],[],[]]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[],[[]],[]],[[]]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[],[[]],[],[]]],[]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[],[[]],[],[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[],[[]],[],[],[]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[],[[]],[],[[]]]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[],[[]],[[]]]],[]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[],[[]],[[]]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[[]],[]]]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[],[[]],[[],[]]]]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[],[[]],[[[]]]]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[],[[],[]]]],[],[]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[],[[],[]]]],[[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[],[[],[]]],[]],[]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[],[[],[]]],[],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[],[[],[]]],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[],[[],[]],[]]],[]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[],[]],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[],[[],[]],[],[]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[],[[],[]],[[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[],[[],[],[]]]],[]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[],[[],[],[]]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[],[[],[],[]],[]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[]]]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[],[[],[],[[]]]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[],[[],[[]]]]],[]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[],[[],[[]]]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[],[[],[[]]],[]]]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[],[[],[[]],[]]]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[],[[],[[],[]]]]]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[],[[],[[[]]]]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[],[[[]]]]],[],[]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[],[[[]]]]],[[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[],[[[]]]],[]],[]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[],[[[]]]],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[],[[[]]]],[[]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[],[[[]]],[]]],[]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[],[[[]]],[]],[]]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[],[[[]]],[],[]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[[[]]],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[],[[[]],[]]]],[]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[],[[[]],[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[],[[[]],[]],[]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[],[[[]],[],[]]]]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[],[[[]],[[]]]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[],[[[],[]]]]],[]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[],[[[],[]]]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[],[[[],[]]],[]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[],[[[],[]],[]]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[[[],[],[]]]]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[],[[[],[[]]]]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[],[[[[]]]]]],[]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[[[[]]]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[],[[[[]]]],[]]]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[],[[[[]]],[]]]]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[],[[[[]],[]]]]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[],[[[[],[]]]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[[[[[]]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[]]]],[],[],[[]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[]]]],[],[[]],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[]]]],[],[[],[]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[[]]]],[],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[[]]]],[[]],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[[]]]],[[]],[[]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[[]]]],[[],[]],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[]]]],[[],[],[]]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[[[]]]],[[],[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[]]]],[[[]]],[]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[[]]]],[[[]],[]]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[]]]],[[[],[]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[[[[]]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[]]],[]],[],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[[[]]],[]],[],[[]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[[]]],[]],[[]],[]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[]]],[]],[[],[]]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[[]]],[]],[[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[[]]],[],[]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[[[[]]],[],[]],[[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[[]]],[],[],[]],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[[[[]]],[],[],[[]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[[]]],[],[[]]],[]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[[[[]]],[],[[]],[]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[]]],[],[[],[]]]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[[]]],[],[[[]]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[[]]],[[]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[[[]]],[[]]],[[]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[[]]],[[]],[]],[]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[[]]],[[]],[],[]]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[[[]]],[[]],[[]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[[]]],[[],[]]],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[[]]],[[],[]],[]]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[[]]],[[],[],[]]]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[[]]],[[],[[]]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[[]]],[[[]]]],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[[]]],[[[]]],[]]]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[[]]],[[[]],[]]]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[]]],[[[],[]]]]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[]]],[[[[]]]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[[]],[]]],[],[],[]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[[[]],[]]],[],[[]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[[]],[]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[[]],[]]],[[],[]]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[[]],[]]],[[[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[]],[]],[]],[],[]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[]],[]],[],[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[[]],[]],[],[],[]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[]],[]],[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[[]],[]],[[]]],[]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[]],[]],[[],[]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[[]],[]],[[[]]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[[]],[],[]]],[],[]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[[]],[],[]]],[[]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[]],[],[]],[]],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[[]],[],[]],[],[]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[[]],[],[]],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[],[]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[],[]],[]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[],[[]]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[[]],[],[[]]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[[[[]],[],[[]]],[]]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[[]],[],[[]],[]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[[]],[],[[],[]]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[[]],[],[[[]]]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[[]],[[]]]],[],[]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[[]],[[]]]],[[]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[[]],[[]]],[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[[]],[[]]],[],[]]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[[]],[[]]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[[]],[]]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[[]],[],[]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]],[[]]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[]],[[],[]]]],[]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[[]],[[],[]]],[]]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[[]],[[],[]],[]]]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[[]],[[],[],[]]]]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[[]],[[],[[]]]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[[]],[[[]]]]],[]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[]],[[[]]]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[[]],[[[]]],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[[[[]],[[[]],[]]]]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[[]],[[[],[]]]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[[]],[[[[]]]]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[[],[]]]],[],[],[]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[[[],[]]]],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[[],[]]]],[[]],[]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[[],[]]]],[[],[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[[],[]]]],[[[]]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[],[]]],[]],[],[]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[],[]]],[]],[[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[[],[]]],[],[]],[]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[[],[]]],[],[],[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[],[]]],[],[[]]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[[],[]]],[[]]],[]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[[[[],[]]],[[]],[]]]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]]],[[],[]]]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[[],[]]],[[[]]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[[],[]],[]]],[],[]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[[],[]],[]]],[[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[],[]],[]],[]],[]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[],[]],[]],[],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[],[]],[]],[[]]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[[],[]],[],[]]],[]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[[],[]],[],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[[],[]],[],[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[[],[]],[],[[]]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[[],[]],[[]]]],[]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[[[[],[]],[[]]],[]]]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[],[]],[[]],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[[],[]],[[],[]]]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[[],[]],[[[]]]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[],[]]]],[],[]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[],[]]]],[[]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[],[]]],[]],[]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[],[]]],[],[]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[],[]]],[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[],[]],[]]],[]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[],[]],[]],[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[],[]],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[],[]],[[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[],[]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[],[]]],[]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[],[]],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[]]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[],[[]]]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[],[[]]]]],[]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[],[[]]]],[]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[[],[],[[]]],[]]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[],[[]],[]]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[],[[],[]]]]]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[],[[[]]]]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[[],[[]]]]],[],[]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[[[],[[]]]]],[[]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[[],[[]]]],[]],[]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[[],[[]]]],[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[[],[[]]]],[[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[[],[[]]],[]]],[]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[]]],[]],[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[[],[[]]],[],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[[],[[]]],[[]]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[[],[[]],[]]]],[]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[],[[]],[]]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[[],[[]],[]],[]]]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[[],[[]],[],[]]]]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[[],[[]],[[]]]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[[],[[],[]]]]],[]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[[],[]]]],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[[],[[],[]]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[[],[[],[]],[]]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[]]]]]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[[],[[],[[]]]]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[[[[],[[[]]]]]],[]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[[],[[[]]]]],[]]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[[],[[[]]]],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[[],[[[]]],[]]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[[[],[[[]],[]]]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[],[[[],[]]]]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[[],[[[[]]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[]]]]],[],[[]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[]]]]],[[]],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[]]]]],[[],[]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[]]]]],[[[]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[]]]],[]],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[[[]]]],[]],[[]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[[]]]],[],[]],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[]]]],[],[],[]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[]]]],[],[[]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[]]]],[[]]],[]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[[[[]]]],[[]],[]]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[]]]],[[],[]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[]]]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[[]]],[]]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[[]]],[]]],[[]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[[]]],[]],[]],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[]]],[]],[],[]]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[[[]]],[]],[[]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[[]]],[],[]]],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[[[]]],[],[]],[]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[[]]],[],[],[]]]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[[[]]],[],[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[[]]],[[]]]],[]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[]]],[[]]],[]]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[[[]]],[[]],[]]]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[[[]]],[[],[]]]]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[[[]]],[[[]]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[[]],[]]]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[[[[]],[]]]],[[]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[[]],[]]],[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[[]],[]]],[],[]]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[[]],[]]],[[]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[[]],[]],[]]],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[]],[]],[],[]]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[[]],[]],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[],[]]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[[]],[],[]]],[]]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[[]],[],[]],[]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[],[],[]]]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[[]],[],[[]]]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[[]],[[]]]]],[]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[[]],[[]]]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[[]],[[]]],[]]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[[]],[[]],[]]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[[]],[[],[]]]]]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[]],[[[]]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[[],[]]]]],[],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[[],[]]]]],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[[],[]]]],[]],[]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[[],[]]]],[],[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[[[],[]]]],[[]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[[],[]]],[]]],[]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[[],[]]],[]],[]]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[[],[]]],[],[]]]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[[[],[]]],[[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[[],[]],[]]]],[]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[],[]],[]]],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[[[],[]],[]],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[[],[]],[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[[],[]],[[]]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[],[]]]]],[]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[],[]]]],[]]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[],[]]],[]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[],[]],[]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[]]]]]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[],[[]]]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[],[[]]]]]],[]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[[],[[]]]]],[]]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[[[],[[]]]],[]]]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[[[],[[]]],[]]]]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[[],[[]],[]]]]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[]]]]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[],[[[]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[[]]]]]],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[]]]]]],[[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[[]]]]],[]],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[[]]]]],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[[]]]]],[[]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[[[[]]]],[]]],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[[[]]]],[]],[]]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[[]]]],[],[]]]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[[[[]]]],[[]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[[]]],[]]]],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[[]]],[]]],[]]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[[[[[]]],[]],[]]]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[[]]],[],[]]]]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[[]]],[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[[]],[]]]]],[]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[[[]],[]]]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[[]],[]]],[]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[[]],[]],[]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[]]]]]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[[]],[[]]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[]]]]]],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[[],[]]]]],[]]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[[],[]]]],[]]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[[],[]]],[]]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[[],[]],[]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[]]]]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[]]]]]]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[]]]]]],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[]]]]],[]]]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[[[]]]],[]]]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[[]]],[]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[]],[]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[],[[[[[[[],[]]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[[]],[]]]]]],[]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[],[[]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[],[[[[[[[]],[]]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[],[[[[[[],[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [[[[[[[[]]],[]]]]],[]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[],[]]]]]],[]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[],[[[]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[],[[[[[[[]]],[]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[],[[[[[],[[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [[[[[[[[]]]],[]]]],[]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[[],[]],[]]]]],[]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[[]],[[]]]]]],[]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[],[[],[]]]]]],[]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[],[[[[]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[],[[[[[[[]]]],[]]]]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[],[[[[[[],[]],[]]]]]]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[],[[[[[[]],[[]]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[],[[[[[],[[],[]]]]]]]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[[],[[[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [[[[[[[[]]]]],[]]],[]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[[],[]]],[]]]],[]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[[]],[],[]]]]],[]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[],[[]],[]]]]],[]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[],[],[[]]]]]],[]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[],[[[],[]]]]]],[]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[],[[[[[]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[],[[[[[[[]]]]],[]]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[],[[[[[[],[]]],[]]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[],[[[[[[]],[],[]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[],[[[[[],[[]],[]]]]]]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[],[[[[[],[],[[]]]]]]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[],[[[[],[[[],[]]]]]]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[],[[[[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[[]]]]]],[]],[]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [[[[[[[]],[]],[]]]],[]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [[[[[[[]]],[[]]]]],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[],[],[]]]]],[]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[],[[],[[]]]]]],[]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[],[[[[[[]]]]]]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[]]]]]]],[[]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[],[[[[[[[]]]]]],[]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[],[[[[[[]],[]],[]]]]]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[],[[[[[[]]],[[]]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[],[[[[],[[],[[]]]]]]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[[[],[[[[],[]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[]],[[[[[[[]]]]]]]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[],[[[[[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[]]]]]]],[],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[[],[]]]]],[]],[]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[[],[],[]],[]]]],[]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[],[[[]]],[]]]],[]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[[],[]],[[]]]]],[]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[[[]],[[],[]]]]],[]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[],[[],[],[]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[]]]]]]],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[],[]]]]]],[[]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[],[[[[[[],[]]]]],[]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[],[[[[[[]],[]]],[]]]]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[],[[[[[[]]],[],[]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[],[[[[[],[],[]],[]]]]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[],[[[[],[[[]]],[]]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[],[[[[[],[]],[[]]]]]]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[],[[[[[]],[[],[]]]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[],[[[[],[[],[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[],[[[[],[],[[[]]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[]],[[[[[[],[]]]]]]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[[],[[[[[],[]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[],[[[[[[[]]]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[[],[]]]]]],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [[[[[[[]]],[]],[]]],[]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[[],[],[]]],[]]],[]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[],[[[],[],[]]]]],[]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[],[[[[],[[]]]]]],[]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[],[[[[[[],[]]]]]],[]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [[[[[[[]],[]]]]],[[]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[],[[]]]]]],[[]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[],[[[[[],[],[]]],[]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[],[[[[],[[]],[[]]]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[],[[[],[[[],[],[]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[]],[[[[[[]],[]]]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[],[[],[[[[[]],[]]]]]]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[]],[[[[[],[[]]]]]]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[],[[[[[[],[]]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [[[[[[[]],[]]]]],[],[]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[],[[]]]]]],[],[]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[[],[],[]]]],[]],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [[[[[[[]]]],[],[]]],[]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[],[[[[]]]],[]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[],[],[]]]],[]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]],[[[]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[],[],[[]]]]],[]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[],[[[[[[]],[]]]]],[]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[],[[[[[],[[]]]]]],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [[[[[[[]]],[]]]],[[]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[[],[],[]]]]],[[]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[],[[[]]]]]],[[]]]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[],[[[[[[]]]],[],[]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[],[[[[],[[],[]]],[]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[],[[[],[[[[]]]],[]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[],[]]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[],[[[[],[[]],[],[]]]]]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[],[[[[[]]],[[[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[[],[],[],[[]]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[]],[[[[[],[],[]]]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[],[[],[[[[],[],[]]]]]]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[],[],[[[[[[]],[]]]]]]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[],[[[],[],[[[[]]]]]]]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[]],[[[[],[[[]]]]]]]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[],[],[[[[[],[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[],[],[[]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[],[[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[],[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[],[],[[]],[],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[],[[]],[[]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[],[],[[],[]],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[],[],[[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[],[],[[],[[]]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[],[],[[[]]],[]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[],[],[[[]],[]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[],[],[[[],[]]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[],[[[[]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[],[[]],[],[],[]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[],[],[[]],[],[[]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[],[],[[]],[[[]]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[],[],[[],[]],[],[]]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[],[],[[],[],[],[]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[],[],[[],[],[[]]]]]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[],[],[],[[],[[[]]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[],[],[],[[[]]],[],[]]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[],[],[[[]],[],[]]]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[],[],[[[],[]]],[]]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[],[],[[[],[]],[]]]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[],[],[[[],[],[]]]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[],[],[],[[[[]]]],[]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[],[],[],[[[[]]],[]]]]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[],[],[],[[[[],[]]]]]]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[],[[[[[]]]]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[[]],[],[],[],[]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[],[],[[]],[],[],[[]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[],[[]],[]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[]],[],[[],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[],[],[[]],[[]],[],[]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[],[],[[]],[[],[]],[]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[],[],[[]],[[],[],[]]]]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[],[],[[]],[[[[]]]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[],[],[[],[]],[],[],[]]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[],[],[[],[]],[[[]]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[],[],[[],[],[]],[],[]]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[],[],[]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[],[],[[],[],[],[[]]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[],[],[[],[[]]],[],[]]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[],[],[[],[[],[],[]]]]]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[],[],[[],[[[[]]]]]]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[],[],[[[]]],[],[],[]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[],[],[[[]],[]],[],[]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[],[],[[[]],[],[],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[],[],[[[],[]]],[],[]]]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[],[],[[[],[]],[],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[],[],[[[],[],[]],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[],[],[[[],[],[],[]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[],[],[[[[]]]],[[]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[],[],[[[[]]],[],[]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[],[],[[[[]]],[[]]]]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[],[],[[[[]],[],[]]]]]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[],[],[[[[],[],[]]]]]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[],[],[[[[[]]]]],[]]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[],[],[[[[[]]],[]]]]]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[],[],[[[[[]],[]]]]]]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[],[],[[[[[],[]]]]]]]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[],[[[[[[]]]]]]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[],[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[[]],[],[],[],[[]]]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[[]],[],[],[[],[]]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[[]],[],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[]],[],[[],[]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[]],[],[[],[],[]]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[]],[],[[[]]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[[]],[[]],[],[],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[],[[]],[[]],[],[[]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[],[[]],[[]],[[]],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[],[[]],[[]],[[],[]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[],[[]],[[]],[[[]]]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[],[[]],[[],[[]],[]]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[]],[[],[[],[]]]]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[],[[]],[[[]],[]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[[]],[[[],[]],[]]]]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[],[[]],[[[],[[]]]]]]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[[]],[[[[[]]]]]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[],[]],[],[],[],[]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[],[[],[]],[],[],[[]]]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[],[[],[]],[],[[],[]]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[],[[],[]],[[]],[],[]]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[[],[]],[]]]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[],[[],[]],[[[[]]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[],[[],[],[]],[],[],[]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[],[[],[],[],[],[]],[]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[],[]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[],[],[[]]]]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[],[],[[],[]]]]]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[],[[],[],[],[[[]]]]]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[],[[],[],[[[]]]],[]]]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[],[[],[],[[[[]]]]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[],[[],[[]],[],[[]]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[],[[],[],[],[]]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[],[[],[[],[[]],[]]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[[],[[],[[],[]]]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[],[[],[[[]],[]],[]]]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[[],[[[[[]]]]]]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[[]]],[],[],[],[]]]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[],[[[]]],[],[[],[]]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[],[[[]]],[[],[],[]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[],[[[]]],[[[],[]]]]]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[],[[[]],[]],[[],[]]]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[[]],[],[],[],[]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[],[[[],[]]],[],[],[]]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[],[[[],[]]],[[[]]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[],[[[],[]],[],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[],[[[],[]],[],[],[]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[],[[[],[],[]]],[],[]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[],[[[],[],[]],[],[]]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[],[[[],[],[],[]]],[]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[],[[[],[],[],[]],[]]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[],[],[]]]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[],[[[[]]]],[],[],[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[],[[[[]]]],[[[]]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[],[[[[]]],[],[],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[],[[[[]]],[[[]]]]]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[[[]],[]],[]],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[],[[[[]],[]],[],[]]]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[],[[[[]],[],[],[]]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[],[[[[],[]]]],[[]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[],[[[[],[]],[],[]]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[],[[[[],[],[]]],[]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[],[],[],[]]]]]]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[],[[[[],[[],[]]]]]]]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[],[[[[],[[[]]]]]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[],[[[[[]]]]],[],[]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[],[[[[[]]]]],[[]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[],[[[[[]]]],[[]]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[],[[[[[]]],[]],[]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[],[[[[[]]],[],[]]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[],[[[[[]]],[[]]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[],[[[[[]],[],[]]]]]]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[],[[[[[]],[[]]]]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[],[[[[[],[]]]]],[]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[],[[[[[],[]]],[]]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[],[[[[[],[]],[]]]]]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[],[[[[[],[],[]]]]]]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[],[[[[[],[[]]]]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[],[[[[[[]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[],[[[[[[]]]]],[]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[],[[[[[[]]],[]]]]]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[],[[[[[[]],[]]]]]]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[],[[[[[[],[]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[[]]]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[],[],[[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[],[],[[]],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[],[],[[],[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[],[],[[[]]]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[[]],[],[],[[]],[],[]]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[]],[],[],[[],[],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[[]],[],[[],[],[],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[]],[],[[[],[],[]]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[[]],[],[[[],[[]]]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[]],[],[[[[],[]]]]]]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[]],[],[[[[[]]]]]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[]],[[]],[],[],[],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[]],[[]],[[]],[],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[]],[[]],[[]],[[]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[]],[[]],[[],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[]],[[]],[[],[[]]]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[]],[[],[]],[],[],[]]]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]],[[],[]]]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[],[],[]]]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[]],[[],[],[],[[]]]]]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[]],[[],[],[[[]]]]]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[]],[[],[[],[[]]]]]]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[]],[[],[[[[]]]]]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[]],[[[]]],[],[],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[]],[[[]],[],[],[]]]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[]],[[[],[],[],[]]]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[]],[[[[]]]],[],[]]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[]],[[[[],[],[]]]]]]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[]],[[[[],[[]]]]]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[]],[[[[[]]]]],[]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[]],[[[[[]]]],[]]]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[]],[[[[[],[]]]]]]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[]],[[[[[[]]]]]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[],[]],[],[],[],[[]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[],[]],[],[],[[],[]]]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[],[]],[],[[],[],[]]]]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[],[]],[],[[[[]]]]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[[],[]],[[]],[],[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[],[]],[[[]],[]],[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[],[]],[[[[],[]]]]]]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[],[]],[[[[[]]]]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[]],[],[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[],[],[]],[],[],[[]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[],[],[]],[],[[],[]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[],[],[]],[],[[[]]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[],[],[]],[[],[],[]]]]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[],[],[]],[[[[]]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[],[],[]],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[],[],[]],[],[[]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[],[],[]],[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[],[],[]],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[],[],[]],[[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[],[]],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[],[],[[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[],[],[[]]],[]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[],[],[[]],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[],[],[[],[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[],[],[[[]]]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[],[],[[]]],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[],[],[[]],[],[]]]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[],[],[[],[]]],[]]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[],[],[[],[],[]]]]]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[],[],[[],[[]]]]]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[],[],[[[]]]],[]]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[],[[[],[]]]]]]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[[],[],[],[[[[]]]]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[],[],[[]]],[],[],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[],[],[[]],[],[],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[],[],[[],[]]],[],[]]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[],[],[[],[],[]],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[],[[],[],[],[]]]]]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[],[],[[],[[],[]]]]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[],[],[[[]]]],[],[]]]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[],[],[[[]]],[],[]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[],[],[[[],[]]],[]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[],[[[],[],[]]]]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[],[[[[]]]]],[]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[],[],[[[[]]]],[]]]]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[],[[[[[]]]]]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[[]]],[],[],[],[]]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[[]],[],[],[],[]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[],[[]],[]]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[],[[]],[[]],[]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[[]],[[]],[[]]]]]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[[]],[[],[[]]]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[],[[],[]]],[],[],[]]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[],[[],[]],[],[],[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[],[[],[],[]]],[],[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[],[[],[],[]],[],[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[],[[],[],[]],[[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[],[[],[],[],[]]],[]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[],[[],[],[],[]],[]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[],[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[],[[],[],[],[[]]]]]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[],[[],[[]],[]]],[]]]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[[],[[],[],[]]]]]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[[],[[[]]]]],[]]]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[[],[[[[]]]]]]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[],[[[]]]],[],[],[]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[],[[[]]]],[],[[]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[],[[[]]],[],[],[]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[],[[[]]],[[],[]]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]],[[[]]]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[],[[[]],[]]],[[]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[],[[[],[]]],[],[]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[],[[[],[]],[]],[]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[],[[[],[],[]]],[]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[],[[[],[],[]],[]]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[],[[[],[],[],[]]]]]]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[],[[[],[],[[]]]]]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[],[[[],[[]]]]],[]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[],[[[],[[]]],[]]]]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[],[[[],[[[]]]]]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[],[[[[]]]]],[[]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[],[[[[]]]],[],[]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[],[[[[]]]],[[]]]]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[],[[[[]]],[],[]]]]]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[],[[[[]]],[[]]]]]]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[],[[[[]],[],[]]]]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[],[[[[],[]]]],[]]]]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[],[[[[],[],[]]]]]]]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[],[[[[],[[]]]]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[],[[[[[]]]]]],[]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[],[[[[[]]]]],[]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[],[[[[[]]]],[]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[],[[[[[]]],[]]]]]]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[],[[[[[]],[]]]]]]]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[],[[[[[],[]]]]]]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[],[[[[[[]]]]]]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[],[],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[[]]],[],[],[],[[]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[[]]],[],[],[[],[]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[[]]],[],[],[[[]]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[[]]],[],[[],[],[]]]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[]]],[],[[[]],[]]]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[[[]]],[],[[[],[]]]]]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[[]]],[],[[[[]]]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[[[]]],[[]],[],[],[]]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[[[]]],[[]],[[[]]]]]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[[[]]],[[],[[[]]]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[[]]],[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[[]]],[[[],[],[]]]]]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[[[]]],[[[],[[]]]]]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[[[]]],[[[[]]]],[]]]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[[]]],[[[[],[]]]]]]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[]]],[[[[[]]]]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[[]],[]],[],[],[],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[[[]],[]],[[]],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[[]],[]],[[[[]]]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[[]],[],[]],[],[],[]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[[]],[],[],[]],[],[]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[[]],[],[],[]],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[],[],[]],[]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[],[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[],[],[[]]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[[]],[],[],[[],[]]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[[]],[],[],[[[]]]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[],[[]],[[]]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[[]],[],[[],[]],[]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[[]],[],[[],[[]]]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[[]],[],[[[]]],[]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[[]],[[]],[],[],[]]]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[[]],[[],[],[],[]]]]]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[]],[[[],[],[]]]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[]],[[[[]]]],[]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[]],[[[[]],[]]]]]]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[]],[[[[],[]]]]]]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[]],[[[[[]]]]]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[],[]]],[],[],[],[]]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[],[]]],[[[],[]]]]]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[],[]]],[[[[]]]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[],[]],[]],[[]],[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[[],[]],[],[],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[[],[]],[],[],[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[[],[]],[],[[],[]]]]]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[[],[]],[[[[]]]]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[[],[],[]]],[],[],[]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[],[],[]]],[],[[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[],[]]],[[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[[],[],[]]],[[[]]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[],[],[]],[]],[],[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[],[],[]],[]],[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[[],[],[]],[],[]],[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[[],[],[]],[],[],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[[],[],[]],[[[]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[],[],[]]],[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[],[],[]]],[[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[],[],[]],[]],[]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[],[],[]],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[],[],[]],[[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[],[],[]]],[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[],[],[]],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[],[],[[]]]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[[],[],[],[[]]]],[]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[[],[],[],[[]],[]]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[],[],[[],[]]]]]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[],[],[[[]]]]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[[],[],[[]]]],[],[]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[[],[],[[]]]],[[]]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[[],[],[[]],[],[]]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[],[[],[]]]],[]]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[[],[],[[],[]],[]]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[[],[],[[],[],[]]]]]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[[],[],[[[]]]]],[]]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[],[],[[[],[]]]]]]]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[[],[],[[[[]]]]]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[],[[]]]],[],[],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[],[[]],[]],[]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[],[[]],[],[[]]]]]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[],[[],[]],[],[]]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[],[[],[],[]]],[]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[],[]]]]]]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[],[[],[],[[]]]]]]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[],[[],[[],[]]]]]]]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[],[[],[[[]]]]]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[],[[[]]]]],[],[]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[],[[[]]]]],[[]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[],[[[]]]],[],[]]]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[],[[[]]],[]]],[]]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[],[[[]]],[],[]]]]]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[],[[[]]],[[]]]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[],[[[]],[]]],[]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[],[[[]],[],[]]]]]]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[],[[[]],[[]]]]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[],[[[],[]]]]],[]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[],[[[],[]]],[]]]]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[],[[[],[],[]]]]]]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[],[[[],[[]]]]]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[],[[[[]]]]]],[]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[],[[[[]]]]],[]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[],[[[[]]]],[]]]]]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[],[[[[]],[]]]]]]]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[],[[[[],[]]]]]]]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[],[[[[[]]]]]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[[]]]],[],[],[],[]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[[]]]],[],[[],[]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[[[]]]],[],[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[[]]]],[[[],[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[]]]],[[[[]]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[[[]]],[]],[],[],[]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[[[]]],[],[]],[],[]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[[[]]],[],[],[]],[]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[[[]]],[],[],[],[]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[[[]]],[],[],[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[[[]]],[],[[]],[]]]]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[[[]]],[],[[[]]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[[]]],[[]],[[]]]]]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[[[]]],[[[],[]]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[[[]],[]]],[],[],[]]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[[[]],[]]],[[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[[]],[]],[]],[],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[[[]],[]],[],[],[]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[[]],[],[],[]],[]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[],[],[],[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[[]],[],[],[[]]]]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[[[]],[],[[]]],[]]]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[[[]],[[]],[[]]]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[[[]],[[],[],[]]]]]]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[[[]],[[],[[]]]]]]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[]],[[[]]],[]]]]]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[]],[[[],[]]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[],[]]]],[],[],[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[],[]]]],[],[[]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[],[]]]],[[[]]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[[],[]]],[],[],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[]],[]],[]],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[],[]],[]],[],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[],[]],[],[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[[],[]],[[]]],[]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[[],[]],[[],[]]]]]]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[],[]],[[[]]]]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[[],[],[]]],[]],[]]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[[],[],[]]],[],[]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[[],[],[]],[],[]]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[[],[],[]],[[]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[],[],[]]],[]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[],[],[]],[]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[],[],[[]]]]]]]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[[],[],[[]],[]]]]]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[[],[],[[],[]]]]]]]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[],[],[[[]]]]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[],[[]]]]],[],[]]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[],[[]]]],[],[]]]]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[],[[]],[],[]]]]]]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[],[[]],[[]]]]]]]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[],[[],[]],[]]]]]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[],[]]]]]]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[],[[],[[]]]]]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[],[[[]]]]]],[]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[],[[[]]]]],[]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[],[[[]]]],[]]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[],[[[]]],[]]]]]]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[],[[[]],[]]]]]]]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[],[[[],[]]]]]]]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[],[[[[]]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[[]]]]],[],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[[]]]]],[],[[]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[[]]]]],[[],[]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[[]]]]],[[[]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[[]]]],[]],[],[]]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [[[[[[[]]]],[],[]],[]]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [[[[[[[]]]],[[],[]]]]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [[[[[[[]]]],[[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [[[[[[[]]],[]]],[],[]]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]]],[]],[]],[]]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[[]]],[],[],[]]]]]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [[[[[[[]]],[],[[]]]]]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [[[[[[[]]],[[]]],[]]]]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [[[[[[[]]],[[],[]]]]]]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[[]]],[[[]]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [[[[[[[]],[]]]],[[]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[[[[[[]],[]],[]],[]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [[[[[[[]],[]],[],[]]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [[[[[[[]],[]],[[]]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[[]],[],[]],[]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[],[]]]]]]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[[]],[],[[]]]]]]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [[[[[[[]],[[]]]]],[]]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [[[[[[[]],[[]],[]]]]]]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [[[[[[[]],[[],[]]]]]]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[[]],[[[]]]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[[],[]]]]],[],[]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[[],[]]]]],[[]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[[],[]]]],[],[]]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[[],[]]],[],[]]]]]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[[],[]]],[[]]]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[[],[]],[]]],[]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[[],[]],[]],[]]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[[],[]],[],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[[],[]],[[]]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[[],[],[]]]]],[]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[[],[],[]]]],[]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[[],[],[]]],[]]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[[],[],[]],[]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[]]]]]]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[],[[]]]]]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[],[[]]]]]],[]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[],[[]]]]],[]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[],[[]]],[]]]]]]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[],[[]],[]]]]]]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[],[[],[]]]]]]]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[],[[[]]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[[]]]]]],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[]]]]]],[[]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[[[[[]]]]],[]],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [[[[[[[[]]]]],[],[]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[[[[[[[]]]]],[[]]]]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [[[[[[[[]]]],[]]],[]]]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [[[[[[[[]]]],[[]]]]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [[[[[[[[]]],[]]]],[]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [[[[[[[[]]],[]]],[]]]]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [[[[[[[[]]],[],[]]]]]]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [[[[[[[[]]],[[]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[[[[[[]],[]]]]],[]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [[[[[[[[]],[]]]],[]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [[[[[[[[]],[]]],[]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [[[[[[[[]],[]],[]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[]],[],[]]]]]]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[]],[[]]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[],[]]]]]],[]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[],[]]]]],[]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [[[[[[[[],[]]]],[]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [[[[[[[[],[]]],[]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[],[]],[]]]]]]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[],[]]]]]]]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[],[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[]]]]]]],[]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[]]]]]],[]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[]]]]],[]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[]]]],[]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[]]],[]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[]],[]]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[],[]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[],[[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[],[[[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[],[],[[[]],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[],[],[],[],[[[]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[],[],[],[[[]],[],[],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[],[[[]],[],[],[],[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[],[],[[[],[]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[],[],[[[],[]],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[],[],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[],[[[],[]],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[],[],[],[],[[[[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[],[[[],[]],[],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[],[],[],[[[[]]],[],[]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[[[],[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[],[],[[[],[],[]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[],[],[[[],[],[]],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[],[],[[[],[[]]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[],[],[[[],[],[]],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[],[],[[[[],[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[[[],[],[]],[],[],[]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[],[],[[[],[[]]],[],[]]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[],[],[[[[],[]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[],[],[[[[],[]]],[],[]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[],[[[[],[]]],[],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[],[],[[[],[],[],[]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[],[],[[[],[],[[]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[],[],[[[[[]]]]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[],[],[[[],[[],[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[],[[[],[],[[]]],[],[]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[],[],[[[[[]]]],[],[]]]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[],[[[],[[],[]]],[]]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[],[],[[[[],[],[]]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[],[],[]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[],[[[],[],[],[],[]],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[],[[[],[],[],[[]]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[],[],[],[[[[[]],[]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[],[[[],[[[]]]],[],[]]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[],[],[[],[]]],[]]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[],[[[[[]],[]]],[]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[],[[[[],[],[],[]]],[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[],[]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[],[],[[]]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[],[[[[[],[]]]]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[],[],[[[[[],[]]]],[]]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[],[[[[[[]]]]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[]],[]]],[]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[],[[[[[[]]]]],[],[]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[],[[],[],[],[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[],[]]]]]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[],[],[[[],[[[],[]]]]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[],[],[[[[[[]]],[]]]]]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[],[],[[[[[],[],[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[[]],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[[]],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[],[[]],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[],[[[]]],[]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[[]],[],[],[]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[],[],[],[],[[]],[],[[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[],[[]],[[]],[]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[],[],[[]],[[[]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[],[],[],[],[[[]]],[],[]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[],[],[[[]]],[[]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[],[],[[[[]]]],[]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[],[]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[],[],[],[[]],[],[[]],[]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[],[],[[]],[[]],[],[]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[],[],[[]],[[]],[[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[],[],[[]],[[[[]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[],[[[]]],[],[],[]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[],[[[]]],[[]],[]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[],[],[[[]]],[[[]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[],[[[[[]]]]],[]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[],[]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[[]],[],[],[],[[]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[[]],[],[],[[]],[]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[[]],[],[],[[[]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[],[[]],[[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[[]],[[]],[],[],[]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[[]],[[]],[[]],[]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[],[],[[]],[[]],[[[]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[],[],[[]],[[[]]],[[]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[[]],[[[[]]]],[]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[[]],[[[[[]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[],[]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[],[],[[[]]],[[]],[[]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[],[[[[]]]],[],[],[]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[],[],[[[[]]]],[[[]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[],[],[[[[[]]]]],[],[]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[],[],[[[[[]]]]],[[]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[],[[[[[[]]]]]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[],[[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[],[],[[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[],[],[[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[[]],[],[],[[]],[],[]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[],[[]],[],[],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[]],[],[[[[[]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[],[[]],[[]],[],[],[[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[],[[]],[[]],[[]],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]],[[]],[[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[]],[[]],[[[]]],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[],[[]],[[]],[[[[]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[[]],[[[]]],[],[],[]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[[]],[[[]]],[[[]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[[]],[[[[[]]]]],[]]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[[]],[[[[[[]]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[],[]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[[]]],[[]],[[]],[]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[],[[[]]],[[[]]],[],[]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[],[[[]]],[[[]]],[[]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[]]],[[[[[]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[],[]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[],[[[[]]]],[],[[[]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[],[[[[]]]],[[]],[],[]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]],[[[[]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[],[[[[[]]]]],[],[],[]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[],[[[[[]]]]],[[[]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[],[[[[[[]]]]]],[],[]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[]]]]]],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[],[[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[],[],[[[]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[],[],[[]],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[],[],[],[[]],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[],[],[[[]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[],[],[[[[]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[],[],[[]],[],[],[]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[],[],[[]],[[[]]]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[],[],[[[[]]]],[]]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[],[],[[[[[]]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[],[[]],[],[],[],[]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[],[[]],[[]],[[]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[]],[],[[[]]],[[[]]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[]],[],[[[[[]]]]],[]]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[]],[],[[[[[[]]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[[]],[],[],[],[[]]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[[]],[],[[[[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[]],[[]],[[]],[],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[]],[[]],[[]],[],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[]],[[]],[[]],[[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[]],[[]],[[]],[[[]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[]],[[]],[[[]]],[],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[[]],[[[]]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[[]],[[[[[]]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[]]],[[[]]],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[]]],[[[[]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[]],[[[[]]]],[],[],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[]],[[[[]]]],[[[]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[]],[[[[[]]]]],[],[]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[]],[[[[[]]]]],[[]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[]],[[[[[[]]]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[],[],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[],[],[[]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[]]],[],[],[],[[[]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]],[],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[]]],[],[[]],[[]],[]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[]]],[],[[[[]]]],[]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[[]]],[],[[[[[]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]]],[[]],[[]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[]]],[[[]]],[],[],[]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[]]],[[[]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[]]],[[[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[]]],[[[[[]]]]],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[]]],[[[[[[]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[]]]],[],[],[],[[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[[]]]],[],[],[[[]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[[]]]],[],[[[]]],[]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[],[[[[]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[]]]],[[]],[],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[]]]],[[]],[[]],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[[]]]],[[]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[[]]]],[[[]]],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[[]]]],[[[]]],[[]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[[]]]],[[[[]]]],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[]]]],[[[[[]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[[]]]]],[],[],[[]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[[]]]]],[],[[]],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[[[]]]]],[],[[[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[[[]]]]],[[]],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[]]]]],[[[]]],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[]]]]],[[[[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[[]]]]]],[],[[]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[]]]]]],[[]],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[]]]]]],[[[]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[],[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[]],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[],[]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[],[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[],[],[[]]],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[],[],[[]]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[],[[]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[],[],[[],[]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[],[]],[],[],[],[[],[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[],[],[[],[]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[],[[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[],[]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[],[]]],[],[]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[],[]]],[],[],[]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[],[]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[[]]]]],[]],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[[]]]],[]],[],[],[]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[]]],[]],[],[],[],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[],[],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[],[],[]]],[[]]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[],[],[]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[],[[],[],[],[],[]]],[]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[],[]],[[[[[[]]]]]]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[],[]]],[[[[[]]]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[],[]]]],[[[[]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[],[]]]]],[[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[],[]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[],[],[]],[],[],[[]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[],[]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[[]],[],[],[],[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[],[],[[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[],[],[]],[[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[],[],[],[],[]],[[[]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[],[],[]],[[[[]]]]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[[],[],[]],[[[[],[]]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[],[]],[[[[],[],[]]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[]],[[[[],[],[],[]]]]]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[]],[[],[[[[[]]]]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[],[[[[]]]]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[[]]],[[[],[[[]]]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[],[[]]]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[[]]]],[[[[],[]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[[]]]]]],[[],[]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[[]]]]],[[[],[]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[[]]],[[[[[],[]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[]],[],[[],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [[[[[[[]]]]],[]],[[]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[[[]]],[]]],[[[]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[],[[],[],[]],[]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[],[[],[]],[],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[],[],[[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[],[],[],[],[[],[]],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[],[]],[[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[],[],[]],[[]],[],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[],[],[]],[[]],[],[],[]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[],[]],[[]],[],[],[],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[[]]],[[]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[],[[]],[[]]],[[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[],[[]],[[]],[[]]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[[]],[[]],[]],[[]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[[]],[]],[[]],[[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[],[]],[[]],[[]],[[]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[[]],[]]],[[]],[]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[],[[]],[[[]],[]]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[[]],[[]],[]],[],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[[]],[]],[[[]],[]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[],[]],[[[]],[]],[[]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[],[[[]],[]],[[]],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[],[],[]],[],[[],[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[],[],[]]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[],[],[[]]]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[],[],[[]],[]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[[],[[[[[]]]]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[],[],[],[[],[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[],[],[],[],[[],[[[]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[],[[],[[]]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[[]]],[[],[],[],[],[]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[[]]]],[[],[],[],[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[],[]]]],[[],[],[]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[[],[],[]]]],[[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[[],[],[],[]]]],[[]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[],[],[[],[],[]]],[],[]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[[[]]],[[[[],[],[]]]]]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[[[]]],[[[[],[]],[]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[[]]]],[[],[],[]],[]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[],[[[]]],[[],[],[],[]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[],[]]]]],[],[],[]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[],[]]]],[],[],[],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[],[]]]]],[[],[]]]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[[[]],[[[[[]]]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[],[]]],[],[],[],[[]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[],[]]]],[],[],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[],[]]]]],[],[[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[],[],[[[],[]]],[]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[],[],[[]],[],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[],[],[[[],[],[]]],[],[]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[],[],[[],[[]],[],[],[]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[]],[[],[],[],[],[]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[],[[[[]],[],[],[[]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[],[[[[]],[],[[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[],[],[],[[[[]],[[]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[],[[[],[],[]]],[],[],[]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[],[],[[[],[]]],[],[],[]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[],[],[]]],[[[],[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[],[[],[]],[]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[],[[],[],[],[[]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[],[],[],[],[]],[],[[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[],[],[]],[[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[],[],[[]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[],[]],[]],[],[],[],[]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[],[],[[[[[]]]],[[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[],[[],[[[[]]]]],[[]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[]],[[[[[]]]],[]],[]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[]],[[[[]]]]],[],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[]],[[],[[]]],[],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[]],[[]],[[],[[]]],[]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[],[[]]]],[[]],[[]]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[],[]],[[[[[],[]]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[]],[[[[[],[]]]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[[]],[],[],[[]]]],[]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[]],[[[[[[]]]]],[]]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[]],[[],[],[[[]]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[]],[[],[],[],[],[[]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[],[]],[]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[],[],[[],[]],[[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[],[[],[],[],[]],[[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[[],[],[],[]]],[[[]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[],[],[]]],[[[[]]]]]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[],[],[]],[[[[[]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[],[],[[],[]],[[[[]]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[[],[[[[],[]]]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[[],[[[[]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[],[],[],[],[[]],[]],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[],[],[],[],[[],[]]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[],[]],[[],[]],[]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[],[],[],[],[[[]]]],[]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[],[[[],[],[]],[],[]],[]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[],[[[[],[],[],[]]]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[],[[],[],[],[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[],[[],[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[],[]],[],[],[[],[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[[]],[],[],[[],[]],[]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[],[],[[],[[],[]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[],[],[[],[[],[],[]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[],[],[[],[[],[],[],[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[],[],[]]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[],[]]],[],[[[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[],[],[]],[[],[]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[],[[]]]]],[],[[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[[]]]],[],[],[[],[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[[],[]]]],[]],[],[]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[],[[]]]],[]],[],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[[[]]]],[],[]],[],[]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[],[],[]]]],[],[]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[],[],[]]],[]],[],[]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[[],[]]],[]],[],[],[]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[[]],[]],[],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[],[],[]],[],[],[[]],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[],[],[[[]],[],[]],[],[]]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[[]],[[[[[],[]]]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[]],[],[[[[],[]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[[]],[],[],[[[],[]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[[]],[[]],[[],[]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[]],[[]],[[],[]],[],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[],[]],[]],[[]],[[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[],[]]],[[]],[[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[]],[[]]],[[[[]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[[[]]],[[[[[]]]],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[],[],[],[[],[[]],[]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[],[],[[],[[[]],[]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[],[],[[],[[[[]],[]]]]]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[],[[],[],[[[[[]]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[],[],[],[[]]],[[[]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[],[],[[[]]]],[[]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[],[],[],[[[[]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[[],[],[],[]],[]]],[]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[],[[],[],[],[]]]],[]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [[[[[[[]]],[]]]],[],[]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[],[],[],[[],[[]]],[]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[],[],[[],[]],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[],[],[[],[],[]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[],[[]]],[],[],[],[]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[[],[[]]],[],[],[]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[],[],[],[[],[[]]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[[[]],[]]]],[[[]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[],[]],[],[[]],[],[],[]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[]],[],[],[]],[],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[],[],[[]],[],[]],[],[]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[]],[],[[[[],[]]],[]]]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[[]]],[],[[[],[]],[]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[[[]]]],[],[[],[],[]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[],[],[]],[[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[],[],[],[[[]],[[]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[],[],[[[[]]],[[[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[],[],[],[[[[]]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[]],[[]]]],[],[],[]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[]],[[[[]],[]]],[],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[]],[[]],[[[],[]]],[]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[[]],[]],[],[],[],[]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[]],[],[]],[],[],[],[]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[],[],[[]]]],[],[]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[],[[[[[]]]],[[[]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[[],[]],[[]],[],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[],[]],[[],[]],[],[],[]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[]],[],[[],[]],[],[],[]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[[[]]]],[[[]]]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[],[],[[],[]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[[],[],[],[]],[],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[],[]],[]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[],[]],[],[]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[],[],[],[[[]],[],[]],[]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[],[[[],[],[],[]]],[],[]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[],[[]],[[],[],[]],[],[]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[[]],[],[],[]]],[]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[],[[[]]],[[],[],[]],[]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[[[]]],[[]]],[[[]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[],[[[[]]],[[]],[[]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[[],[]]]],[[]],[[]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[],[[[[[[]]]]],[[]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[],[[],[],[],[[[]]]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[],[]],[],[[[[],[]]]]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[]],[],[],[[[[],[]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[[[]]],[[[[[]]],[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[],[[],[],[],[]],[],[[]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[],[[[],[],[],[]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[],[],[],[]]],[]],[]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[],[[],[[[],[],[],[]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]],[]],[[]],[[]],[]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[]],[[]],[]],[[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[[]],[[]],[[]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[[]],[[]],[[]]],[[]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]]],[[]],[[]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[],[[]]],[]],[[]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[]],[[],[[]]],[]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[]],[[]],[[]]],[],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[[]],[[]]],[[],[[]]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[[]]],[[],[[]]],[[]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[],[[],[[]]],[[]],[[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[],[[[],[]],[],[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[],[[[],[]],[]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[],[],[[[]],[],[]]],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[],[],[[[]],[]]],[],[]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[]],[],[],[[],[[[]]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[],[]],[],[],[],[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[[]],[],[],[],[]],[]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[],[],[],[[],[[[]]]],[]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[[],[[[[[]]]]]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[],[[],[],[],[],[[]]],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[],[],[]],[],[],[],[[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[],[],[[[[]],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[],[],[]],[],[[]],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[],[],[]],[],[[],[]],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[],[]],[],[[],[],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[],[[],[],[],[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[],[],[]],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[],[],[]],[],[],[[],[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[],[]],[],[],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[],[],[]],[]],[],[],[]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[],[],[],[]],[]],[],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[],[],[]],[]],[]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[],[[]]]]],[],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[],[]],[],[[[[[]]]]]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[],[],[[[[[]]]]]],[]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [[[[[[[]]]]],[[]]],[]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[],[[[[],[],[],[]],[]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[],[],[[[]],[]],[]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[],[],[],[[[],[]]],[],[]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[],[],[[[[]],[]]],[]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[],[[[]]]]],[[[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[[]]]]],[[],[],[]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[[[]]]]],[[[]],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[],[],[[]],[]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[]],[[[[[]]]]]],[]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[],[[[[],[],[]],[],[]]]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[]],[[[[]]],[[[]]]]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[[]]]],[[[[]]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]],[[[]]]],[]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[[]]],[[],[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[],[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[]],[[]],[[],[[]],[]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[],[],[[[[]],[]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[],[],[],[[[[]],[],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[[]]]]],[],[[],[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[]]],[],[],[],[[],[]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[[],[],[]]]],[[[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[[],[]]],[],[],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[[],[[]],[],[],[],[]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[[]],[[],[],[],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[[]],[[[],[],[],[]]]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[[],[]],[],[[]]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[]],[],[],[],[[[],[]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[],[]]],[],[],[[]],[]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[],[],[[],[[],[]]],[],[]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[],[]]],[[]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[[]]],[],[],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[],[]],[],[[],[],[],[]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[[]],[[],[],[],[],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[[]],[[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[],[],[],[[]],[[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[],[],[],[],[[]],[[],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[],[],[],[[[]],[[]]],[]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[[],[[]]],[[]],[]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[],[[]],[[[]],[]],[],[]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[],[[[]],[[]]],[],[],[]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[[]],[],[[],[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[],[],[]],[],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[],[[]],[]],[[],[[]]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[]],[[],[[],[[]]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[],[[],[[],[[],[[]]]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[],[[]],[[]]],[],[],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[[],[]],[[[]],[],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[],[[[]],[],[[],[[]]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[],[[],[[[[[]]]]],[]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[],[],[[],[],[]],[],[[]]]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[],[[]]]],[[[[]]]]]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[],[[]]],[[[[[]]]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[],[],[]]],[]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[],[],[[],[],[[]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[[],[]]],[],[],[],[]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[],[],[]],[],[],[]],[]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[],[[],[[[[]]]],[[]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[],[[[],[[[]]],[[]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[],[[[[[],[]]]]],[[]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[]],[[[[[],[]]]],[]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[],[],[[[[[],[]]]]],[]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[],[[[[[],[]]]]],[],[]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[],[[[[],[]]]]],[[]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[],[],[[[]],[[[]]],[]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[],[]]]],[[[],[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[],[[]],[],[[[]],[[]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[],[[[]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[[]],[[[]],[]],[[]]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[],[],[]],[],[[[[]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[],[],[]],[],[]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[[]]]],[],[],[],[]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[],[],[[]]]],[],[],[]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[],[],[[],[[]]],[[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[],[],[[[]],[]],[[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[],[],[[[[]],[]]],[[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[],[],[[],[],[[]]],[[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[],[],[[[],[]],[]],[[]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[],[],[[[[]]],[]],[[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[],[],[]]],[]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[],[],[],[]]],[]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[],[[[],[]]],[]]],[]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[],[[],[]],[]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[[]],[],[[],[]],[]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[],[[],[]],[],[],[[]],[]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[[]]],[[[],[],[],[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[[]],[],[],[]]],[],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[],[]],[[[]]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[]],[[[]],[]],[[[]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[],[]],[[[[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[],[],[[[],[]]],[[[]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[],[[[[[]]],[]]],[[]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[],[[[[]],[]]],[[[]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[],[]]],[[[[]]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[[],[],[]],[[[],[],[]]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[[],[],[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[],[],[]],[[[]]],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[],[],[]],[[[]],[]],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[],[]],[[[]],[],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[]],[[[]],[],[],[]],[]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[[]],[],[],[],[]],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[],[],[]],[[[],[]]],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[],[]],[[[],[]],[]],[]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[],[]],[[[[]]]],[]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[]],[[[],[]],[],[]],[]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[],[]],[[[[]]],[]],[]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[[[],[]],[],[],[]],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[]],[[[[]]],[],[]],[]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[],[[[[]]],[],[],[]],[]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[[]],[]]],[[]],[]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[],[[]],[[]],[]]],[]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[],[[]],[[]]],[]],[]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[],[[],[],[],[[]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[],[[[]],[],[[]],[[]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[],[],[],[[]]],[[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[]],[[],[],[[]],[[]]]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[],[],[[]]]],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[[[]]]],[[[[]]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[],[]]],[],[],[],[]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[],[]],[],[],[[[[]]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[[]]],[[]]],[[]],[]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[[]],[[]]]],[[]],[]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[],[[],[[]]]],[[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[[]],[]],[]],[[]],[]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[],[[],[]],[]],[[]],[]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[],[[[],[],[],[]]],[[]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[[],[],[],[]]],[],[[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[],[]],[],[],[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[],[],[[],[],[]],[]],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[],[],[],[[]],[],[]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[]],[[],[],[],[]],[],[]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[],[]],[[[[[]]]]],[]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[],[]]],[[[[]]]],[]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[],[]]]],[[[]]],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[],[]]]]],[[]],[]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[]],[]],[[[[]]]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[[]],[]]],[[[]]],[]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[[],[]],[[[[]]]],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[[[]],[]]]],[[]],[]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[[],[]]],[[[]]],[]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[[],[]]]],[[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[],[],[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[],[],[]]],[[]],[]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[],[[[[]],[],[[],[]]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[[]]],[],[[],[],[],[]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[[]],[],[],[[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[],[],[[[]]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[],[],[[],[],[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[],[[]],[]],[[]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[]],[[],[[]]],[[]],[]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[[]],[]],[[]]],[]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[]],[[],[[]],[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[]],[[],[[]],[],[]],[]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[]],[]],[[],[[]]],[]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[]],[],[[]]],[[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[],[],[[],[],[],[[],[]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[],[[],[[[[],[]]]],[]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[[]]],[[[]]]],[],[]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[],[[[[]]]]],[[[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[],[],[]],[[]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[[]],[],[],[]],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[],[[]],[[]],[[],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[],[[]],[[],[[]],[[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[],[[]],[[]],[[]]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[]],[[[]],[[]],[[]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[]],[[]],[[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[[]],[[],[[[]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[],[[],[[[]],[]],[[]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[[[]],[]],[[[]],[[]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[]],[[]],[[[]],[]],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[],[],[],[[]],[]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[],[],[[]],[]],[],[],[]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[],[],[[],[[[],[]]]]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[],[[[[]],[[],[],[]]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[],[[[[[]],[],[]],[]]]]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[],[[[[]],[[],[[]]]]]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[[]]],[[],[[],[[]]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[],[],[]],[[]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[[],[[],[],[],[[]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[],[[[[]],[],[],[]],[]]]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[],[[[]],[[],[],[],[]]]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[]],[[[[]]],[[]]],[]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]]],[[]],[[]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[[]]],[[[],[]]],[[]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[],[[[]],[[]],[]],[[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[[],[],[]],[]]],[],[]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[[],[],[]],[],[]]],[]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[[]],[[],[[]]]],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[[],[]],[[[],[],[[]]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[],[]]],[[[[]]]]]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[]],[[]],[],[[]]],[]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[[[]],[]],[],[[]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[[],[]],[[]],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[[[]],[],[[]]],[]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[[]],[],[[[],[[]]]]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[]],[[[],[[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[],[[],[[]],[[]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[],[[],[[]],[[]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[[],[[]],[]],[[]],[]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[],[]],[[]],[[]],[]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[],[[],[[[]],[]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[],[[],[[]],[[[]],[]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[],[[],[[]],[[]],[],[]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[],[[],[[]],[]],[[[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[],[[],[]],[[[]],[]],[]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[],[[[]],[]],[[]],[]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[],[[],[[[]],[[]],[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[[],[[[],[[]]],[]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[[],[],[],[]],[[]]],[]]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[],[],[[]]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[[]],[],[],[]],[]],[]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[]],[[],[],[],[]]],[]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[[],[],[]]]],[],[],[]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[],[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[[]],[[]],[]],[[[]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[]],[]],[[[]],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[]],[[[]],[]],[[]],[]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[[]],[[],[[]]],[[]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[],[[],[],[[]]],[],[]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[],[],[[],[]],[],[],[[]]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[]],[[[],[]],[]]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[[]],[],[[],[],[]]],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[[[]]],[[],[],[]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[]],[[[],[]]]],[],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[]],[],[[],[]]],[],[]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[[]]],[[],[]]],[],[]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [[[[[[[]]]],[]]],[],[]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[[]]],[],[]],[],[],[]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[],[],[]],[],[]],[]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[],[],[],[]],[]],[[]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[]],[[[],[]],[],[],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[]],[[[[]],[],[],[]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[],[[[]],[]]],[]],[]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[],[[]]],[[]],[]],[]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[],[[[],[]],[[]]],[[]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[],[[],[],[]],[[],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[],[]],[],[[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[[]],[],[],[[],[[]]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[],[[],[],[[]]]]],[]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[[],[],[]],[[]]]],[]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[],[],[[[[],[]]]],[],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[]],[]],[]],[]],[]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[]],[]],[]],[[],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[]],[]],[[[],[]],[]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[],[]],[]],[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[]],[]],[]],[]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[],[]],[[[[]],[]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[],[]],[]],[[[]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[],[]],[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[[[]],[]],[[],[[]],[]]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[],[[]],[]],[]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[],[[[[],[],[]],[]],[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]]],[[[[]],[]],[]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[],[]],[[]],[]],[[]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[],[],[]]],[[]],[[]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[],[[[[[]]]]],[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[[]]],[[],[[]]],[]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[],[[[],[],[],[]],[]],[]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[],[[[],[[[]]],[],[]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[],[[],[[[[]]]],[],[]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[],[]],[[]],[[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[]],[],[],[],[[[]],[]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[],[]]],[[],[],[],[]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[],[[],[[[]],[[]]],[]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[],[[],[[[]]],[]],[[]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[],[[],[],[]],[[]],[[]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[],[[]]],[]]],[[]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[],[],[]]],[]],[[]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[],[],[]],[[]],[[]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[],[]],[],[[]],[[]],[]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[[]]],[[],[],[[],[]]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[[]],[],[]],[[[],[]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[]]],[],[],[[[],[]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[[[]]]],[],[[[],[]]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]],[],[[]]],[[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[[]],[[]]],[[],[]]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[],[[],[],[[[],[]]],[]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[],[[],[[[],[],[]]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[]],[[[[[]],[],[]]]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[]],[[[]],[],[],[],[]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[[]]],[],[]],[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[[[]],[]]],[],[]],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[[]]],[]],[],[]],[]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[[[]]]],[],[],[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[[[]],[]],[]]],[],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[[[]]],[],[]]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[[]],[]]],[]],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[[]]],[]],[]],[],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[[[]],[]]]],[],[],[]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[[[]]],[]]],[],[],[]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[],[],[[[[]],[[],[]]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[],[[],[]]]],[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[],[]],[[],[],[]],[],[]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[],[],[[[]]]],[[],[]]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[],[],[]],[[],[[[]]]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[[]],[[[]]]],[[]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[],[[[[]]]],[]],[[]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[]],[[],[[[]]],[],[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[]],[[],[],[],[[[]]]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[]],[[[]],[[[]]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[]],[[[[[]]]],[],[]]]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[]],[[],[],[[[[]]]]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[[],[]]],[[[],[],[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[],[[],[[],[[]]]],[[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[],[[],[[]],[[],[[]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[],[],[],[[]],[],[[],[]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[[[]]],[]]],[[]],[]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[[],[]]],[]],[[]],[]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[],[]],[]],[]],[],[]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[],[[[[]],[]],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[],[[],[[],[[[]],[]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[],[],[[[[]],[]],[]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[],[[[[]],[]],[]]],[]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[]]],[]],[[],[]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[[[]]],[]],[[],[],[]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[]],[]],[[],[],[],[]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[],[],[[]]],[[]],[[]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]]],[]],[[]],[[]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[],[],[[]]]],[],[]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[[[],[[]]]],[],[],[]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[],[],[[],[],[[],[]]]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[],[],[[],[],[[[],[]]]]]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[],[[],[],[[[[],[]]]]]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[],[[[]]]],[[[]]],[]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[]],[[],[[]]],[[[]]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[],[[[]]],[[]]],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[[]]],[[]],[[],[[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[]],[[],[[]],[[]]],[]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[[],[]]],[[[]]],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[]]],[],[],[[],[]],[]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[],[],[[],[],[[[]]],[]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[],[[],[[[]]]],[[],[]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[],[[],[],[[]]],[[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[],[[[],[],[]]],[]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[]],[]],[[[[[]]]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[[[]]],[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[[[]]]],[]],[[[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[],[[]]],[]],[]],[]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[],[[[]],[[]]],[]],[]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[],[[[[]],[]],[[]]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[[]],[]],[[]],[],[]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[[]]]],[[],[[[]]]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[]],[[[]]]],[[[]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[[[]]],[[]]]],[[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[]],[[[[[]],[[]]]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[],[[],[],[],[]]],[]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[[]],[],[],[[],[]]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[],[],[],[]],[[[]],[]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[],[[],[],[],[]],[[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[],[]],[],[[[]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[[],[],[]]],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[],[[],[]],[],[],[[[]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[],[[[],[]]],[[],[[]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[[]]],[],[[],[[]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[],[[[[],[]]]],[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[[]],[]],[],[[]],[]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[],[],[[[],[]]]],[],[]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[],[[[[],[[]]],[],[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[],[[[[],[]],[],[],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[],[[],[[],[[[[]]]]]]]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[],[[],[[],[],[[[]]]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[],[[],[[],[[],[],[]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[],[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[],[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[[]],[]]]]]]],[]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[],[[[[[[[[]],[]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[],[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[[[]]],[]]]]]],[]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[[],[],[]]]]]]],[]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[],[[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[],[[[[[[[[]]],[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[],[[[[[[[],[],[]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[[[[],[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [[[[[[[[[]]]],[]]]]],[]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[[],[]],[]]]]]],[]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[],[[],[]]]]]]],[]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[],[[[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[],[[[[[[[[]]]],[]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [[],[[[[[[[],[]],[]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [[],[[[[[[[]],[[]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[],[[[[[[],[[],[]]]]]]]]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[[[],[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [[[[[[[[[]]]]],[]]]],[]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[[]],[],[]]]]]],[]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[],[],[[]]]]]]],[]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[],[[[[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[],[[[[[[[[]]]]],[]]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[],[[[[[[[]],[],[]]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[],[[[[[[],[[]],[]]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[],[[[[[[],[],[[]]]]]]]]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[[],[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [[[[[[[[[]]]]]],[]]],[]]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[[[]]],[[]]]]]],[]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[],[],[]]]]]],[]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[]],[[[]]]]]]],[]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[],[[[[[[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[],[[[[[[[[]]]]]],[]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [[],[[[[[[[]]],[[]]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[],[],[]]]]]]]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[],[[[[[],[[],[[]]]]]]]]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[[],[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[[[]]]]]]],[]],[]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[],[[[[[[[]]]]]]]],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[]]]]]]]],[[]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[],[[[[[[[[]]]]]]],[]]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [[],[[[[[],[[[]]],[]]]]]]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [[],[[[[[],[],[[[]]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[]],[[[[[[[[]]]]]]]]]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[[],[[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[[]]]]]]]],[],[]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[[],[]]]]]],[]],[]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[[]]]]]]]],[]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[],[]]]]]]],[[]]]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[]],[[[[[[[],[]]]]]]]]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[],[[],[[[[[[],[]]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[],[],[[[[[[[[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[],[[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[],[],[[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[],[[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[],[],[[[]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[],[],[],[],[[[]],[]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[[]],[],[],[],[],[],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[],[],[],[[[],[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[],[],[],[],[],[[[],[]],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[],[],[],[],[[[[]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[],[],[[[],[]],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[],[],[],[[[],[]],[],[],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[],[],[[[],[]],[],[],[],[]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[[],[]],[],[],[],[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[],[],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[],[],[],[],[],[[[],[],[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[],[],[],[],[],[[[],[[]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[],[],[],[[[[],[]]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[]],[],[],[],[],[]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[[]]],[],[],[],[],[]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[],[]]],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[],[],[],[],[[[],[],[],[]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[],[],[],[],[[[],[],[[]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[],[],[],[],[],[[[[[]]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[],[]],[],[],[],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[[]]],[],[],[],[]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[]]]],[],[],[],[],[]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[],[],[]]],[],[],[],[]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[],[],[[[],[],[],[],[]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[],[],[[[],[],[],[[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[],[],[],[]],[],[],[]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[],[],[],[[]]],[],[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[[],[],[],[]]],[],[],[]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[],[[[],[],[],[],[],[]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[],[[[],[],[],[],[[]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[],[],[[[[[],[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[],[],[],[]],[],[]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[],[],[],[[[[[[]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[],[],[],[],[[]]],[],[]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[],[[[],[[[]],[]]],[]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[[],[]]]],[],[],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[[[]]]]],[],[],[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[],[],[],[]]],[],[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[],[],[]],[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[],[],[],[[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[[],[],[],[],[],[[]]],[]]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[],[],[],[[[]]]],[],[]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[],[[],[],[],[],[]]],[]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[],[],[],[],[],[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[[],[],[],[],[],[]]],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[],[[]],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[],[[]],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[],[],[[]],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[],[],[[[]]],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[],[[]],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[],[],[[]],[[]],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[],[],[],[[[[]]]],[]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[[]],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[],[],[],[[]],[[]],[[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[],[],[],[],[[[]]],[],[],[]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[],[],[],[],[[[[[]]]]],[]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[[]],[],[],[],[],[]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[[]],[],[],[],[[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[[]],[[]],[],[],[]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[],[[]],[[]],[[]],[]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[[[]]],[],[],[],[]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[],[],[],[[[[]]]],[[]],[]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[],[],[[[[[[]]]]]],[]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[],[],[[[[[[[]]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[],[],[],[],[],[]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[]],[[]],[],[],[],[]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]],[[]],[[]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[[]]],[],[],[],[],[]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[],[[[[]]]],[],[],[],[]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[],[],[[[[]]]],[[[[]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[],[],[[[[[]]]]],[],[],[]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[],[],[[[[[[]]]]]],[[]]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[],[],[[[[[[[]]]]]]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[],[],[[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[[]],[],[],[],[],[[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[],[],[],[[[]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[],[[]],[],[[[]]],[],[[]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[[]],[],[],[],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[[]],[[]],[],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[[]],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[]],[[]],[[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[[]]],[[]],[[]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[],[[]],[[[]]],[[[[]]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[],[[]],[[[[]]]],[],[],[]]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[]],[[[[[[[]]]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[[]]],[],[],[],[],[],[]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[[]]],[[]],[[]],[[]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[],[[[]]],[[[]]],[[[]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[],[[[]]],[[[[[[]]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[[[]]]],[],[],[],[],[]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[]]]],[[[[[]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[[[]]]]],[],[],[],[]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[],[[[[[]]]]],[[[[]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[],[[[[[[]]]]]],[],[],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[],[[[[[[[]]]]]]],[],[]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[[]]]]]]],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[],[],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[],[],[[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[]],[],[],[],[],[],[[[]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[]],[],[],[],[],[[]],[],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[]],[],[],[],[],[[[]]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[],[],[],[[[[]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[],[],[],[[[[[]]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[[]],[],[],[],[],[]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[]],[],[[[[]]]],[],[[]]]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[]],[],[[[[[[]]]]]],[]]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[]],[],[[[[[[[]]]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[],[],[],[],[],[]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[],[],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[]],[[]],[],[],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[[]],[[]],[],[[]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[[]],[[]],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[]],[[]],[[[]]],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[]],[[]],[[[[]]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[]],[[]],[[[]]],[],[],[]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[]],[[]],[[[]]],[[[]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[[[]]],[],[],[],[],[]]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[]],[[[]]],[[[]]],[[]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[[]]]],[[[]]],[]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[]]]],[[[[]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[]],[[[[[[]]]]]],[],[]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[]],[[[[[[]]]]]],[[]]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[]],[[[[[[[]]]]]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[]]],[],[],[],[],[],[[]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[]]],[],[],[],[],[[]],[]]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[]]],[],[[[[[]]]]],[]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[[]],[],[],[],[],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[[]],[[]],[]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[[]]],[[]],[[]],[[[]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[]]],[[[]]],[[]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[]]],[[[]]],[[[[]]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[[]]]],[[[]]]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[]]],[[[[[[]]]]]],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[]]],[[[[[[[]]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[]]]],[],[],[],[],[],[]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[]]]],[],[],[],[],[[]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[],[],[[[[]]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[[]]]],[],[[[[]]]],[]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]]]],[[]],[[]],[[]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[[]],[[[[]]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[[[]]]],[[[]]],[[[]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[]]]],[[[[]]]],[],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[]]]],[[[[]]]],[[]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[]]]],[[[[[]]]]],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[]]]],[[[[[[]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[]]]]],[],[],[],[],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[]]]]],[],[],[],[[]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[[[]]]]],[],[[[]]],[]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[[[[]]]]],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[[]]]]],[[]],[[]],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[[[]]]]],[[[[]]]],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]],[[[[[]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[[[[]]]]]],[],[],[[]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[[[]]]]]],[],[[]],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[[[[]]]]]],[],[[[]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[[]]]]]],[[[]]],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[[]]]]]],[[[[]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[[]]]]]]],[],[],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [[[[[[[[]]]]]]],[],[[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[[]]]]]]],[[]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[[]]]]]]],[[[]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[]]]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[],[]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[],[],[],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[],[],[],[],[]],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[],[],[],[],[],[]],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[],[]],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[],[],[],[[]]]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[],[],[]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[],[],[],[[]]]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[],[],[],[],[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[],[[]]]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[],[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[]],[]]]]]]]]]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[],[],[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[[]],[],[]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[]],[],[],[],[],[],[[],[]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[],[[[[[[[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[]]]]]]]],[]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[],[]]]]]]],[]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[]]]]]]]]]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[],[[[]]]]]]]]]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[],[[[[]]]]]]]]]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[],[[[[[]]]]]]]]]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[],[[[[[[]]]]]]]]]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[],[[[[[[[]]]]]]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[],[],[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[],[],[[],[]],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[],[],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[],[],[]],[],[],[],[]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[[],[]],[],[],[],[]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[[]],[],[],[],[]]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[],[],[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[],[],[],[],[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[],[],[],[],[],[[[],[]]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[],[],[],[],[[[],[],[]]]]]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[],[],[],[[[],[],[],[]]]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[],[],[[[],[],[],[],[]]]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[],[],[],[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[],[]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[]]]]]]],[]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[[]]]]]],[]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[[]]]]],[]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[[]]]],[]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[[]]],[]]]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[[],[]],[],[],[],[],[]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[],[[],[],[]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[],[],[],[[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[],[],[],[[],[],[]],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[],[],[],[[],[]],[],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[],[],[[]],[],[],[]]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[],[],[]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[],[[[[[[],[],[]]]]]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[],[[]]],[[]],[[]],[[]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[],[[]],[[]]],[[]],[[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[],[[]],[[]],[[]]],[[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]],[[]],[[]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[[]],[[]],[]],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[],[[]],[[]],[]],[[]],[]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[[]],[]],[[]],[[]],[]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[[]],[[]],[]]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[],[],[[[[[[[]]]]]]]]]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[],[],[],[[[[[[]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[],[],[[[[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[],[],[],[],[],[[[[]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[],[],[[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[],[],[],[[],[],[]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[],[[],[],[],[],[]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[],[],[],[],[],[[[]],[]]]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[],[],[],[],[[[]],[],[]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[],[],[],[[[]],[],[],[]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[[]],[],[],[],[]]]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[[]],[],[],[],[],[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[],[],[]]]]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[]],[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[[]]],[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [[[[[[[[]]],[[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [[[[[[[[]]]],[[[]]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]],[[[[]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[[]]]]],[[[[]]]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[],[[],[[],[]]]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[[],[[[],[]],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[]],[[],[[],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[],[[],[]]],[[],[]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[[],[]],[]],[[],[]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[],[[],[[],[]]]],[]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[],[]],[]]],[]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[]],[[],[]]],[]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[[[],[[],[]]],[]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[],[]],[]],[]],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[]],[[],[[],[[],[]]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[]],[[[],[]],[[],[]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[]],[[[],[[],[]]],[]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[]],[[[[],[]],[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]],[[],[[],[]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[],[]]],[[[],[]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[],[]],[]],[[],[[],[]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]],[[[],[]],[]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[],[[],[]]]],[[],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[[],[]],[]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[],[]]],[[],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[[],[]]],[]],[[],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[]],[]],[]],[[],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[],[]],[]],[]],[]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[],[],[]]],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[],[],[],[]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[],[],[],[]]]],[]]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[],[[],[]]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[[],[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[[[]],[]]]]]],[]]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[],[[]]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[],[[[[[[[]],[]]]]]]]]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[],[[]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[],[]],[],[],[],[],[],[[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[],[]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[]],[],[],[]]]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[]]],[[[[[],[],[]]]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[[[[]]]],[[[],[],[],[]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[],[]],[]]]]]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[],[],[],[],[]]]]]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[],[[[[[],[],[],[]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[],[],[[[[[[[],[]]]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[],[],[[[[[[],[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[[[]]]]]],[[[]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [[[[[[[[[]]]]]],[[]]]]]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[],[[[[[],[]]]]]]]]]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[],[[[[[]],[]]]]]]]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[],[[[[[]]],[]]]]]]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[],[[[[[]]]],[]]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[[],[[[[[[]]]]]],[],[]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[],[],[[[[]]]],[],[],[]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[[]],[],[],[],[],[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[],[],[],[],[],[],[]]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[],[],[]]]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[],[],[],[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[],[],[],[[]],[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[],[],[],[],[],[[[]]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[],[],[],[],[]],[[],[],[]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[],[[[],[],[]]],[],[],[]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[],[],[[[],[]]],[],[],[]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[],[],[],[[[]]],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[],[],[[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[[],[],[],[],[],[]],[],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[],[],[],[],[],[]],[]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[[],[]],[],[],[],[[]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[],[[],[],[]],[],[],[],[[]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[],[],[],[]],[],[],[],[[]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[],[]]]]]]]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[],[],[]]]]]]]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[],[],[]]]]],[]]]]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[],[[[[[],[],[]]]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[],[],[],[[[]]]]]]]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[[],[],[],[[[[]]]]]]]]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[],[],[[[[[]]]]]]]]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[],[],[[[[[[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[[]]]]]]],[[]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[]]]],[[[[[]]]]]]]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[]]],[[[[[[]]]]]]]]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[]],[[[[[[[]]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[],[[[[[[[]]],[]]]]]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[],[[[[[[]]]],[]]]]]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[[[[],[[[[[]]]]],[]]]]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[],[[[[]]]]]],[]]]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[[[[],[[[]]]]]]],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[[],[],[],[]],[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[[],[],[]],[],[],[]],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[],[[],[]],[],[],[]],[]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[[]],[],[],[]],[]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[],[[],[],[],[],[]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[[],[],[],[]],[]]]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[],[[[],[],[],[],[]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[[],[],[]],[],[]]]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[[],[]],[],[],[]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [[[[[[[[[]],[]],[]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[],[],[[],[]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[],[],[],[],[],[]]],[],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[],[],[],[],[]]],[],[],[]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[],[],[]]],[],[],[],[]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[],[],[]]],[],[],[],[],[]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[],[]]],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[],[],[],[]],[[]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[],[]]]]],[],[],[],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[[[[[[],[]]]]]],[],[],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[],[],[],[]]]],[],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[[],[],[],[],[]],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[],[],[],[[],[]]]]]]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[],[],[[[[[]]]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[]],[[]],[[],[]],[]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[],[]]],[[]],[[]],[[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[],[],[],[],[]],[]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[[],[],[],[]]],[]]]]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[],[[[],[],[],[]]]]]]]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[[],[],[[[[]]]]]]]]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[[],[],[[[[[]]]]]]]]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[],[],[[[[[[]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[[],[]],[],[],[]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[],[[],[]],[],[],[],[]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[],[]],[],[],[],[],[],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[],[]]]]],[[[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[],[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[],[],[],[]],[],[],[],[]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[],[[],[],[]],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[],[],[[],[[]]]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[[],[],[],[[],[]]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[[],[],[],[],[]]]],[]]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[],[],[[],[],[]]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[[],[],[],[],[]]],[]]]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[],[],[]]]]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[[],[]],[],[],[],[],[]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[[]],[],[],[],[[]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[],[],[]],[],[]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[],[],[],[[[]],[],[],[]],[]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[[],[],[],[],[]],[],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[],[],[]],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[[]]],[[[]]]],[[[]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[],[[],[],[],[],[[[]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[],[],[],[],[[],[],[[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[],[[],[],[],[],[],[]],[[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[[]],[[],[]],[],[]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[]],[]]]]]],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]],[[]],[[]]],[]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[]],[[]],[[]]],[[]],[]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]],[[]]],[[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[]],[],[],[],[],[],[]],[]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[],[[],[[]]],[],[],[],[]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[[],[],[[]]],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[],[],[],[[]]],[],[],[],[]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[],[],[]]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [[[],[[[[[]]],[],[],[]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[],[],[[[[]]],[],[],[]]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[],[],[[[[]]]],[],[]]]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[[],[],[],[[[]]]]],[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[],[],[],[[]]]]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[],[],[],[],[]],[],[[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[],[],[],[]],[],[[],[]],[]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[],[[],[],[]],[]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[]],[],[[],[],[],[]],[]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[],[[],[],[],[],[]],[]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[],[]]]]]]],[],[]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[[],[]]]]]],[],[]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [[[[[[[[],[]]]]],[],[]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [[[[[[[[],[]]]],[],[]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [[[[[[[[],[]]],[],[]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[],[]],[],[]]]]]]]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[]],[[[]]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[],[[[[[[]]]]],[[[]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[],[[[[[[[]]]]],[[]]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[]],[[],[],[],[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[],[],[],[],[[[]],[]],[]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[]],[[[],[],[],[],[],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[],[]],[],[],[],[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[[],[],[],[],[],[[],[]]]]]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[],[]],[],[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[],[],[],[],[[]],[]]]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[]],[[[[[[]]]]]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]]]],[[[[]],[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[[[[]]]]],[[[[]],[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[[[[]]]]],[[[],[[]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[]]],[[[[[]]],[[]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[],[],[],[[]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[],[]]]]]],[]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[],[]]]]],[]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[],[]]]],[]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[],[]]],[]]]]]]]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[],[[[],[]]]]]]]]]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[],[[[[],[]]]]]]]]]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[],[[[[[[],[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[[[]]]]]]],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[[[]]]]]],[],[],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[[]],[]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[],[[],[[]],[[]],[[]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[]],[[],[]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[[],[]]]],[],[],[],[]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[],[],[[[],[]]],[],[],[],[]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[[]]],[],[],[],[],[],[]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[[]]],[],[],[],[]]]]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[[]],[],[],[],[]]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[]],[[],[],[],[]]]]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[]]],[[[],[],[]]]]]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[],[],[[],[]]]]]]]]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[]],[[[[[[],[]]]]]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[],[],[],[[[]]],[[]],[]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[],[[]],[[[]]],[],[],[]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[],[],[]],[]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]],[]],[],[],[],[],[],[]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[]],[[],[[],[[],[[]]]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[]]],[[],[[],[[]]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[],[[]],[[]]],[[],[[]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[],[[]],[[]],[[]]],[],[]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[[]],[[]],[],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[],[[]],[[]],[],[[],[]]]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[]],[],[[],[[],[]]]]]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[],[[],[[],[[],[]]]]]]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[],[[],[[],[[],[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[],[],[],[],[[]]],[]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[],[],[],[]]],[]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[[[[[[],[]],[]],[]],[]]]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[[]],[],[],[],[],[]]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[[[]]],[],[],[],[],[]]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[]],[[[[[[],[]]]]]],[]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[],[]]]]]],[[]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[],[],[],[],[[],[],[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[],[],[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[],[],[],[[[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[],[],[[[],[]]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[],[[]],[[[]],[[]],[[]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[],[[]],[[]],[[[]],[[]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[]],[],[],[],[[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[],[],[],[],[[],[[]]],[[]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[],[],[],[],[[[]],[]],[[]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[],[[],[[]]],[[]],[]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[],[],[[[]],[]],[[]],[]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[],[[[[[[[]]]]]]],[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[[[],[],[],[],[],[]]],[]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[],[],[],[],[]]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[]]],[],[],[],[[],[]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[],[],[],[]],[[]]]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[],[],[],[]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[]],[]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[[]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[]],[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]],[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[]],[[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[]],[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[]],[]],[[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[]],[]],[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[]],[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[[]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[],[],[]],[[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[],[],[]],[[],[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[[],[],[]],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[[],[],[],[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[],[],[],[]],[[[]]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[],[],[],[]],[[[]],[]],[]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[],[],[]],[[[]],[],[]],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[],[]],[[[]],[],[],[]],[]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[[]],[],[],[],[]],[]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[[]],[],[],[],[],[]],[]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[],[],[],[],[[]],[[]]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[],[],[[]],[[]]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]],[[]],[[]]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[],[[]]]]]]],[[]]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[],[[],[],[],[]],[]]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[],[],[[],[],[]]],[]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[],[],[[],[]]]],[]]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[],[],[[[],[]]]],[]]]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [[[[[],[[[],[],[]]],[]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [[[[[[[[[]]]]]],[]],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[[[]]]]],[]],[],[]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[[[[]]]],[]],[],[],[]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[[[]]],[]],[],[],[],[]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[]],[]],[],[],[],[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[],[],[],[]],[]],[]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[],[]],[]],[]],[]]]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[],[[[[[[]],[]]]]]]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[[[],[[[[[[]]]]]]],[]]]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[],[[]],[]]]]]]]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[[[[[[],[[[]]],[]]]]]]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[[[[[],[[[[]]]],[]]]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[[[]]],[[]]],[[]],[[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[],[],[],[]],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[],[],[],[]]],[[]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[[],[],[],[]]]]],[]]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[]],[[[[[[]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[[],[[[[[[]]]]]],[[]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[],[],[],[[]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[],[]],[[]],[[]],[[]]]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[],[]],[[[[[[]]]]]],[]]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[],[]]],[[[[[]]]]],[]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[[],[]]]],[[[[]]]],[]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[],[]]]]],[[[]]],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[],[]]]]]],[[]],[]]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[[],[[[[[[]],[],[]]]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[[]],[],[],[]]]]]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[[]],[],[],[],[]]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[],[],[],[]],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[[]],[],[],[],[],[]],[[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[],[[],[[],[]]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[],[[]],[],[[[],[[],[]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[],[[[],[[],[]]]],[]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[],[[[[],[[],[]]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[[]],[],[[[],[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[]],[],[[[],[]]]],[]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[],[[],[[[],[]]]],[],[[]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[],[]]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[],[[],[[],[[[],[]]],[]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[],[[[],[[[],[]]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[[]],[],[[[[],[]]],[]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[],[[[[],[]]],[]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[],[]]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[],[[],[[]],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[]],[],[[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[],[[]],[],[[[]],[],[[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[],[[],[[[]],[],[[]]],[]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[[]],[],[[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[],[[]]],[],[[],[[]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[[[]]],[],[[],[[]]],[]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[[]],[]],[],[[[]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[[]],[]],[],[[[]]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[],[[],[[],[[]]],[],[[]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[],[[]]],[],[[]]],[]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[],[[],[[[]]],[],[[]],[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[[[]]],[],[[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[],[[],[[],[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[],[[],[[]],[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[]],[],[[[],[[]],[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[],[[],[[[],[[]],[]]],[]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[[]],[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[[]],[],[[[]],[]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[],[[[]],[],[[[]],[]]],[]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[[]],[]]],[],[[]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[]],[]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[],[[],[[[]],[]],[]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[],[[[],[[[]],[]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[],[[]],[],[[[[]],[]],[]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[],[[[[]],[]],[]],[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[]],[]],[]],[]],[]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[],[[[],[],[],[],[]],[]]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[],[],[[[],[],[]],[],[]]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[[]],[],[[],[],[]]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[[]],[],[],[],[[],[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[],[],[],[[]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[[[]]]]]]],[[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[[[[]]]]]],[[],[],[]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[[[[]]]]],[[],[],[],[]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[[[]]]],[[],[],[],[],[]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]]],[[],[],[],[],[],[]]]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[],[],[[]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[[]],[],[],[],[],[[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[],[[],[],[],[],[],[[]],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[],[[],[],[],[],[],[[],[]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[]],[[],[[]]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[]],[[]],[[],[[]]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[]],[[]],[[],[[]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[]],[[]],[[],[[]],[]],[]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[]],[[],[[]],[]],[[]],[]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[[],[[[[[[],[]]]]]],[]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [[],[[[[[[],[]]]]]],[],[]]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[],[],[[[[[[],[]]]]]],[]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[],[]]]]]]],[]]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[],[],[[[[[[],[[]]]]]]]]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[],[]],[[[[[[]]]]]]]]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[],[]]],[[[[[]]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[],[]]]],[[[[]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[[],[]]]]],[[[]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[],[]]]]]],[[]]]]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[],[[],[[]]]]]]]]]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[],[[],[],[]]]]]]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[],[[]]],[]],[[]],[[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [[[[],[[[[]]]],[[]]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[],[[]],[[]],[[]]],[]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[[]],[[]],[[],[[]],[[]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[]],[[],[[]],[[]],[[]]]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[]],[[[],[],[[]],[],[]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[[]],[],[]],[[[]]],[]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[],[[]],[],[]]],[[]]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[[]],[],[],[]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[],[[[],[[],[[],[[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[],[],[],[],[]],[],[[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[],[],[],[],[]],[],[],[[]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[],[],[]]]],[],[],[],[]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[[],[],[],[],[[]]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[[]],[],[],[],[],[]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[[]],[]],[[]],[[]],[]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[],[[],[[]]]],[[],[]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[],[[],[[]]]],[]],[],[]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[],[[[],[[]]],[[],[]]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[],[[[],[[]]],[]]],[],[]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[],[[[[],[[]]],[]],[]],[]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[],[]],[[]]],[[],[]],[]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[],[]],[[]]],[],[[],[]]]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[],[[],[[[]],[[],[]]]]]]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[],[]],[[[]],[[],[]]],[]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[],[[],[[[]],[]]]],[],[]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[],[[[],[[[]],[]]],[]],[]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[],[]],[[[]],[]],[[],[]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[],[[],[[[[]],[]],[]]],[]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[],[[[[[]],[]],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[],[[[],[]]]],[[],[]],[]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[],[[[],[]]]],[],[[],[]]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[],[[[[],[]]],[[],[]]],[]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[],[[[[],[]]],[]],[[],[]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[],[]]],[]],[]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[],[[],[[],[[[],[]]]]]]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[],[]],[[],[[[],[]]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[],[]],[[[],[]]]],[]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[[],[]],[],[[[[],[]]],[]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[],[[],[]],[[[[],[]]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[],[[],[[],[[]]]]],[],[]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[],[[[],[[],[[]]]],[]],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[],[]],[[],[[]]],[[],[]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[],[[],[[[],[[]]],[]]],[]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[],[],[[[[],[[]]],[]],[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[],[[[],[]],[[]]],[[],[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[[],[]],[[]]],[]],[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[[],[]],[],[[[]],[[],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[],[[],[]],[[[]],[[],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[],[[],[[],[[[]],[]]]],[]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[],[]],[[[]],[]]],[]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[],[[],[[[[]],[]],[]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[],[]],[[[[]],[]],[]]]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[],[],[[[],[],[]]]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[],[],[[[],[],[],[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[],[],[],[]],[[[]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[[],[],[],[]],[[[[]]]]]]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[]],[[[[],[]]]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[]],[[[[],[],[]]]]]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[]],[[[[],[],[],[]]]]]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[],[[[],[[[]],[]]],[]]]]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[],[[[],[[]],[[],[]]]]]]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[],[[[]],[[[[]]]],[]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[],[[[],[[],[]],[[]]]]]]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[],[[[]],[[[],[[]]]]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[],[[],[],[[]]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[],[[],[[],[]],[[[]]]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[[[]]],[[],[]],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[],[[],[[[]],[],[]],[]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [[[],[[[[[]],[]]],[[]]]]]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [[[],[[[[]],[[],[]],[]]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[],[[],[[[[]]]],[[]]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [[[],[[[[],[]],[[]],[]]]]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[],[[],[[[],[[]]],[]]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[]],[],[[[],[[]]],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[]],[],[[[]],[[[]]]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[]],[],[[],[[],[]],[]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[]],[],[[[[]]],[[]]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[]],[],[[],[[[]],[]]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[]],[]],[],[[[]],[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[]],[]],[],[[],[[]]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[],[[]]],[],[[[]],[]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[],[[]]],[],[[],[[]]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[],[[]]],[]],[],[[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[]],[[[]]]],[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[[],[]],[]],[],[[]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[[]]],[[]]],[],[[]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[[[]],[]]],[],[[]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[[]],[]]],[]],[]]]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[[]],[[],[]]]],[]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[]],[[[[]]]],[]],[]]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[],[[],[]],[[]]]],[]]]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[]],[[[],[[]]]]],[]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[],[[],[],[[]]],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[[],[]],[[[]]]],[]]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[[]]],[[],[]],[]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[[]],[],[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[[]],[]]],[[]]],[]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[]],[[],[]],[]]],[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[],[]],[[]],[]]],[]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[],[[[],[[]]],[]]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[[]],[]],[[]],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[],[[[]],[],[[[]],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[],[[[]],[],[[[]]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[],[[[]],[],[],[[]],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[],[[[]],[],[[]],[],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[],[[[]],[],[[],[[]]],[]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[],[[]],[]],[],[[]],[[]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[]],[[],[]],[],[[]],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[],[],[],[],[],[[]],[[]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [[[[[[[[]]]]]],[[],[]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[[[[]]]]],[[[],[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[]]]],[[[[],[]]]]]]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[]]],[[[[[],[]]]]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[],[[],[[],[[],[[]]]]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[],[[]]],[[]],[[]],[]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[[],[[]],[[]]],[[]],[]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[],[[],[[]],[[]],[[]]],[]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[],[[],[[]],[[]],[]],[[]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[],[[],[[]],[]],[[]],[[]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[],[[],[[[]],[]]],[[]],[]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[],[],[],[]]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[[],[],[],[],[],[[]]]],[]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[[]]],[[[]]],[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[],[],[],[],[],[]],[[],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[]],[],[],[],[],[]],[],[]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[],[]],[],[],[],[],[]],[]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[]],[[],[[],[[],[],[]]]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[]],[[],[[[],[],[]],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[]],[[[],[[],[],[]]],[]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[],[],[]],[]],[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[]],[],[[]],[[],[],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[]],[],[[[]],[],[]],[]]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[]],[[],[],[[]]],[],[]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[[]],[],[]],[[]],[],[]]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[]],[[],[[],[],[]]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[]],[[[],[],[]],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[[]],[],[[]],[],[]]],[]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[]],[[],[],[]]],[]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[]],[],[]],[]],[]],[]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[],[[]],[[],[[],[],[]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[],[[]],[[[],[],[]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[],[],[[[]],[],[[]],[],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[[[]],[[],[],[]]],[]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[],[],[[[[]],[],[]],[]],[]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[],[[],[],[[]]],[[],[],[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[],[[],[],[[[]]],[],[]],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[],[],[]],[[]],[[],[],[]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[],[[],[],[[]]]],[],[]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[],[],[]],[[]]],[],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[],[[]],[],[[]]],[],[]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[],[],[]]],[[]],[],[]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[],[],[]],[]],[[]],[],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[],[[],[[],[[],[],[[]]]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[],[[],[[[],[],[]],[[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[[],[],[[]],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[],[[],[],[]]],[[]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[],[[[[],[],[]],[]],[[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[],[[]],[[],[],[[]]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[],[],[[[]],[],[]],[[]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[],[[],[],[[]]],[],[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[],[],[]],[[]],[],[[]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[],[[],[[],[],[]]]],[[]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[],[[[],[],[]],[]]],[[]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[],[[],[],[]]],[]],[[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[],[],[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[]],[[],[[[[[]]]]]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [[[[[],[[[[]]]]]],[[]]]]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[[]]],[[[],[[[]]]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[],[[]]]]],[[[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[],[],[],[],[],[[],[]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[],[],[],[[],[[]]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[[],[],[],[]],[],[],[]]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[[],[],[]],[],[],[],[]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[],[[]],[[],[]],[],[],[],[]]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[],[[]],[[]],[]],[]],[]]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[],[[[],[[[],[]]]]]]]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[],[[[],[[[]],[]]]]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[],[[[]],[]]],[]],[[]]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[],[],[],[[[],[]]]]]]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[],[],[[[],[],[]]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[],[],[]]],[[],[]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[],[],[]]],[[[[]]]]]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[]],[[[[[],[],[]]]]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[],[],[],[[]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[],[[],[],[],[],[[]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[],[],[[],[],[],[[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[],[],[],[[],[],[[]]]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[],[],[],[[]]]]]],[]]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[],[]],[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[[]],[[],[]]]]]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[],[[],[],[],[],[],[[[]]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[],[[],[],[],[]]]]],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[[],[],[],[]],[]]]],[]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[],[[],[],[],[]]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[],[[[[[],[],[],[]],[]]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[[]],[[]],[[],[],[],[],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[]],[[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[],[],[],[[]],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[],[],[],[[],[]],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[],[],[],[[[]]],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[],[],[],[[],[[]]]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[[],[],[],[]],[],[],[[]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[],[],[]],[],[],[]]]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[]],[[],[]],[],[],[],[]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[]],[[]],[],[],[],[]]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[]],[[[],[[[]],[],[]]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[]],[[[[],[],[[]]],[]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[]],[[[[[],[],[],[]]]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[[],[]]],[[]],[[[],[]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[],[[[]],[],[]]]],[[]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[],[],[[]]],[]]],[[]]]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[]],[],[[[[[[]]]]]]]]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[],[]],[],[[[[],[]]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[[[]]]],[],[[[[]]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[[],[]]]],[],[[],[]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [[[[[[[[]]]]]],[],[[]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[[],[],[],[]],[[]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[[],[],[],[]],[],[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[[],[],[],[],[],[]],[]],[]]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[],[[[[],[[[[]]]],[]]]]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[],[[[],[[[[[]]]]],[]]]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[],[[],[[[[[[]]]]]],[]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[],[],[]],[[]],[[]],[]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[[]]],[],[],[],[],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[],[[],[[[]],[[]],[]]],[]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[],[[],[[[]],[[]],[[]]]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[],[[],[[[]],[[]]],[]],[]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[],[[],[[[]]],[]],[[]],[]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[],[],[]],[[]],[[]],[]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[[]],[],[],[],[],[[]],[]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[],[],[],[[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[],[],[],[],[[]],[]]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[]],[[]],[]],[],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[]],[[[]],[],[]]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[[[]],[]],[[],[]],[]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[[]],[[]],[[],[],[]]]]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[]],[[[[],[]]],[]],[]]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[]],[[[],[[]]],[],[]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[]],[],[[[]],[]]],[]]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[]],[[],[[[],[]]]],[]]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[[]],[],[]],[[]],[]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[[]],[[],[]],[[],[]]]]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[]],[[[],[],[[]]],[]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[[]],[],[[],[[]],[]]]]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[]],[[],[[],[[],[]]]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[[[[]]],[]],[]],[]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [[[],[[[[]]],[[]],[],[]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[[[]]],[[[],[]]],[]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[],[[[[]]],[],[[]],[]]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[[]]],[[],[[],[]]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[],[]],[[[[]]],[]],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[],[]],[[[]]],[[],[]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[],[[],[[[[]]]],[]],[]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[],[[],[[[]]]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[[],[]],[]],[[[]]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[[]],[],[[[]]]],[]]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[],[[[],[]]],[[[]]],[]]]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[],[[]],[[[]]]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[],[[],[[],[[[]]]]],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[[],[]],[]],[]],[[]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[[],[[]],[]],[],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[],[[[]],[],[]]],[[]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[]],[[],[]],[[]]]]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[],[[]],[[],[],[[]]]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[[],[[[[],[]]],[]],[[]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[],[[[],[[]]],[],[[]]]]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[],[],[[[]],[]]],[[]]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[],[[],[[[],[]]]],[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[],[],[]],[[]],[[]]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[],[[],[]],[[],[[]]]]]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[],[[[],[],[[]]],[[]]]]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[],[],[[],[[]],[[]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[]],[[[[[[[]],[]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[],[],[[[[[[[]]],[]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[]],[],[],[],[],[[],[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[],[]],[],[],[],[[],[]]]]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[]],[[[[[[],[],[]]]]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[]],[[[[],[],[],[],[]]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[],[[],[],[],[[]]]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[]],[[[[[],[]],[]]],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[]],[[],[],[[],[]],[],[]]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[]],[[],[[[],[[],[]]]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[]],[[[]]],[]],[],[]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[[]],[[]]],[],[[],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[[]],[],[[],[[[]]],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[]],[[[]],[],[]]]],[]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[[[]],[]],[]]],[]],[]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[[],[]],[],[]],[]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[]],[[[],[[],[]]]]],[]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[[[]],[],[[]]],[]]],[]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[[]],[[[],[]],[],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[],[[]],[[],[],[[],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[],[],[[[[]],[[[]]],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[],[],[[[[]],[]],[],[]],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[],[],[[[]],[],[[],[]]],[]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[],[[[],[[]]]],[[[],[]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[],[[[],[[[[]]]],[]]],[]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[[],[]]],[[[[]],[]]],[]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[[[],[]],[],[[]]],[],[]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[],[],[[],[[]]]],[],[]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[[[]]],[[]]]],[],[]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[],[]],[],[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[],[[],[]]],[[]],[],[]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[],[[[],[[[]],[],[[]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[],[[[[[],[]],[]]],[[]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[],[[],[],[[],[]],[],[[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[],[[],[[[],[[],[[]]]]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[],[[[[],[],[[]]],[[]]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[[[]]],[]],[],[[]]]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[],[]],[],[[[]],[[]]]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[],[],[[],[[[]]],[[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[[],[]],[]]],[]],[[]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[],[],[[],[]],[],[]],[[]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[],[[[],[[],[]]]]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[]],[]],[[[[]]]],[],[]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[]],[],[[],[[[]]]],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[]],[],[]],[[[[]]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[]],[[],[[[]]]],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[],[]]],[],[[[[]]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[[],[]]],[[[[]]]],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[[]]],[],[[],[[[]]],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[[],[]]],[],[[[[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[[]],[],[[[]]]],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[[[]],[],[]],[[[[]]],[]]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[],[[],[]],[[[]]]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[[[]],[]],[[[[]]],[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[[]]]],[[],[]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[[]],[]]]],[],[[]],[]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [[[],[[[[]],[]]]],[[]],[]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[[]],[]]]],[],[[],[]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[],[[[[]],[]]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[[]],[]]],[]],[[],[]]]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[]],[],[[[[]],[],[[]]]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[],[]],[[[[]],[],[[]]]]]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[]],[],[[[[],[]],[[]]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[],[]],[[[[],[]],[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[[[]]],[],[[]],[]]],[]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[[],[[]]],[[]],[]]],[]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[[[[]]],[],[[],[]]]],[]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[[],[[]],[]],[[]]]],[]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[[]],[]],[[],[]]]],[]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[[]]],[],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]],[]],[[[]]],[],[]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[]],[],[[],[[]]],[[]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[]],[[],[[]]],[[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[[],[]]],[],[[[]]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[[],[]]],[[[]]],[]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[[[]]],[],[[],[[]],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[],[]]],[],[[[]],[]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[[]],[],[[]]],[[]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[[[]],[],[]],[[[]],[]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[[],[]],[[]]],[[]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[]],[[[]],[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]],[[]]],[[],[]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[],[[]]]]]],[],[]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [[[[[[],[[[]]]]],[],[]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [[[[[],[[[[]]]],[],[]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [[[[],[[[[[]]],[],[]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [[[[[[[[[]]]]],[[]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [[[[[[[[[]]]],[[]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [[[[[[[[[]],[]]]]],[]]]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[],[[]]]]]],[]]]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [[[[[[[[],[]],[]],[]]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[[],[[[[[]],[]],[]],[]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[],[[],[[[[]],[]],[]]]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[],[[],[[],[[[]],[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[],[],[],[[]]]],[],[]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[],[],[],[[]]]],[],[],[]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[],[],[[]]]],[],[],[],[]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[],[[]]]],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[],[],[],[],[],[[],[[],[]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[],[],[],[[],[[[],[]]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[],[[],[[[[],[]]]]]]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[],[[],[[[[[],[]]]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[[[]],[],[],[]],[]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[[[]]]],[[[]]]],[],[]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[]],[[[[]]],[[[]]]],[]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[[]],[[]],[[[[]]],[[]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[[]]]],[[]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[]]],[[[[]],[]]],[[]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[[]]],[[[]]],[[[],[]]]]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[],[],[[[]]]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[[]],[],[[]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[],[]],[],[],[],[[],[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[[]],[],[],[],[[],[]],[]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[],[]],[],[],[],[],[[]],[]]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[],[[],[[[[[[]]]]]]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[],[[],[[[],[[]],[]]]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[],[[[],[[],[[]]],[]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[[],[]],[[[[]],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[],[]],[[[],[[]],[]]]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[],[],[[],[[],[[[]]]],[]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[],[],[],[[[]],[[[]]],[]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[]],[[],[[[]]],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[],[],[],[[[[]]],[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[],[[]],[[]],[[[]],[]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[],[]],[],[[[],[[]],[]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[]],[],[[],[[[]]],[]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[],[]],[],[[]],[[[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[],[[],[]]],[],[[[]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[],[]],[]],[],[[[]],[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[],[[],[[],[[]]]]],[]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[],[],[[[],[[]],[[]]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[]],[[],[[]]]],[]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[],[[],[]]],[[[]]],[]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[]],[[]],[[[]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[]],[[],[[],[[]]]],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[]],[[],[]],[[[]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[[],[]]],[[],[[]]],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[],[]],[]],[[],[[]]],[]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[],[[],[]]]],[[]],[]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[],[],[[[[]],[]]],[[]],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[],[]],[[[],[]]],[[]],[]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[],[],[[[[]]],[]],[[]],[]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[],[],[],[],[],[[[],[]]],[]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[],[],[],[],[[[],[],[]]],[]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[],[],[],[[[],[],[],[]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[],[]],[],[],[],[],[[]]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[[]],[],[],[],[],[[]]]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[[]]],[]],[]],[]]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[]],[[]]],[]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[],[[]],[]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[],[[],[],[],[],[],[]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[[[],[]],[]],[]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[],[],[],[],[]],[[]],[[]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[],[],[]],[[]],[[]],[[]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[],[[[],[],[],[],[]],[[]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[],[[],[],[],[]],[[],[[]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[],[],[]],[],[[],[[]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[[],[]],[],[],[[],[[]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[[]],[],[],[],[[],[[]]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[[[],[[[[[[]]]]]],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[],[],[],[]]],[[]]]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[]],[[[],[],[],[],[]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[]],[[]],[[[],[]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[],[[]],[[[],[]]],[[],[]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[]],[[[],[[],[]]],[]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[],[[]],[[[[],[]],[]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[[],[]]],[[]],[[],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]]],[[[],[]],[]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[],[[[],[[],[]]]],[[],[]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[[],[]],[]]],[[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[]],[[]],[[]],[[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[]],[[[],[]],[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[],[]],[[[],[]]],[[],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[],[[],[[],[]]]],[]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[],[[],[[[],[]],[]]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[[],[]],[[],[]]],[]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[],[[[],[[],[]]],[]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[]],[[],[[],[]]],[]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[]],[[[],[]],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[],[[],[]]],[[],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[[],[]],[]],[[],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[],[[],[[],[]]]],[],[]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[],[[[],[]],[]]],[],[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[]],[[],[]]],[],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[],[[],[]]],[]],[],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[[],[]],[]],[]],[],[]]]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[],[[],[[],[[[[[]]]]]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[],[[],[[],[[],[[[]]]]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[],[],[],[[]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[[]]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[[]]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[],[]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[],[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[]],[]]]]]]]],[]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[],[[]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[]],[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[],[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[],[],[]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[],[[[[[[[[[]]],[]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[],[[[[[[[[],[],[]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[],[[[]]]]]]]]]]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[[],[[[[]]]]]]]]]]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[[],[[[[[]]]]]]]]]]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[[],[[[[[[]]]]]]]]]]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[[],[[[[[[[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[],[],[],[],[],[[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[],[],[[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[],[],[],[],[],[[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[],[],[[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[],[[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[],[[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[],[[],[],[],[],[],[],[]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[],[[],[],[],[],[],[],[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[],[],[],[[[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[],[],[],[],[],[[[],[]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[]],[],[],[],[],[],[],[]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[]]],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[],[],[],[],[],[[[[],[]]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[]],[],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[],[]],[],[],[],[],[]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[]]]],[],[],[],[],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[[],[],[],[],[]],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[],[],[],[],[],[[[[[],[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[[],[],[],[],[],[]],[],[],[]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[[]]]]],[],[],[],[],[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[[],[],[],[],[],[[]]]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[[]],[],[],[],[],[]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[[]]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[]],[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[[]]]]]]]]],[]]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[],[]]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[],[]]]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[],[[[[[[[[],[]]]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[],[],[[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[],[],[],[[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[],[],[],[],[[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[],[],[],[],[],[[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[],[],[[],[],[],[],[]]]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[],[[],[],[],[],[],[]]]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[],[[],[],[],[],[],[],[]]]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[],[[],[],[],[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[],[],[]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[[]]]]]]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[]],[[[[[[[[[]]]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[],[[[[[[[[[]]]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[[]]]]]]]]],[[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[],[],[],[],[],[[]],[],[],[]]]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[],[]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[],[],[],[],[],[[[]]],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[],[],[[]],[]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[],[[[[[[[[]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[],[[[[[[[[[]]]]]]]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[],[],[]],[]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[[]]],[]]]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[],[],[]]]]]],[]]]]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[],[[[[[[],[],[]]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[],[],[]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[],[],[],[],[[[[[[],[]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[],[],[],[],[[[[[[]]]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[],[],[],[],[],[],[],[]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[],[]],[]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[],[],[],[[],[]],[]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[],[[[[[[]]]]]],[],[],[],[]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[[],[]]]]]],[],[],[],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[],[[]],[[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[]],[[]],[[]],[[]],[[],[]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[[],[],[],[],[]],[]]]]]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[],[[],[],[],[],[]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[],[],[],[],[],[]]],[]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[],[[[],[],[],[],[],[],[],[]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[[[[]]]]]]]]],[],[]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[[],[],[],[],[],[]]]]],[]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[[],[],[],[],[],[],[]],[],[]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[],[],[],[],[],[]],[]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[[[]]]]]],[[[[[]]]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[[]],[],[],[],[],[]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[[],[],[],[],[],[],[]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[],[],[],[[],[],[],[],[]],[],[]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[],[],[[[]],[],[],[],[]],[]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[],[[[[[[[[[]]]]]]]]],[]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[],[],[],[]]]]]],[]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[],[],[],[]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[],[],[],[],[],[[],[]],[],[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[]],[],[],[],[],[[[[[]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[],[],[],[],[],[[]],[],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[],[],[],[],[[],[]]]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[],[]],[],[],[],[],[]]]]]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[],[[],[]]]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[],[],[],[],[],[[[[[]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[]]]]]],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[],[],[],[[[[]]]],[[]],[]]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[],[[]],[[[[]]]],[],[],[]]]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[],[],[],[],[],[]]]]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[[]],[],[],[],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[],[],[],[],[],[[]]]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[],[[],[],[],[],[],[],[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[[],[],[],[],[],[],[[[]]]]]]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[],[[[]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[],[],[[],[[]]],[[]],[]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[],[],[],[],[[[]],[]],[[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[]],[],[],[],[],[],[[],[]],[]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[]],[],[],[],[],[],[],[[]],[]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[],[],[],[],[],[]],[],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[],[],[],[],[],[],[]],[[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[],[],[],[],[],[]],[[],[]],[]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[]],[[],[],[]],[]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[[],[],[],[]],[]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[]],[[],[],[],[],[]],[]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[]],[[],[],[],[],[],[]],[]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[]],[[],[],[],[],[],[],[]],[]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[],[[],[],[],[],[],[],[],[]],[]]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[],[[[[[[[[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [[[[[[[[[[]]]]]]]],[],[]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [[[[[[[[[]]]]]]],[],[],[]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[[[[[]]]]]],[],[],[],[]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[[[]],[]]]]]]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[[]],[[]]],[[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[],[[]]],[[]],[[]],[[]],[]]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[],[[[[[[[[]]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[[]]]]]]]],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[[],[],[],[],[],[[[]]]]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[[]],[],[],[],[],[[]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[]],[[[[[[[[]]]]]]]],[]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[]]],[[[[[[[]]]]]]],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[[]]]],[[[[[[]]]]]],[]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[[[[[]]]]],[]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[[[[]]]]]],[[[[]]]],[]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[[[[[]]]]]]],[[[]]],[]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [[[[[[[[[]]]]]]]],[[]],[]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[],[[[[[[[],[],[]]]]]]]]]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[],[[[[[[],[],[],[]]]]]]]]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[],[[[[[],[],[],[],[]]]]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[],[[[[],[],[],[],[],[]]]]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[],[[[],[],[],[],[],[],[]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[],[],[],[],[],[]],[[]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[],[],[],[],[],[[]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[],[[]],[],[],[],[],[],[],[[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[[],[],[],[],[],[],[],[[]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[]]]]],[[[[[[]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[],[],[[[[[[[[],[]]]]]]]]]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[]],[[[[[[[[]]]]]]]]]]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[]]],[[[[[[[]]]]]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[]]]],[[[[[[]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]],[[[[[]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[[[[[]]]]]],[[[[]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [[[[[[[[[]]]]]]],[[[]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [[[[[[[[[[]]]]]]]],[[]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[]],[[]]]]]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[],[],[],[],[],[]]]]]]]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[],[[[[[[]],[],[],[],[]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[[],[],[],[],[],[[]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[],[[[[[]],[],[],[],[],[]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[[],[],[],[],[],[[[],[]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[],[],[],[],[[[],[],[]]]]]]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[],[],[],[[[],[],[],[]]]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[],[],[[[],[],[],[],[]]]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[],[[[],[],[],[],[],[]]]]]]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[],[[],[[[[[[[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[[[]]]]]]],[]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[[[]]]]]],[]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[[[]]]]],[]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[[[]]]],[]]]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[[],[],[],[],[],[[]]]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[],[],[],[],[]]]],[]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[]],[]],[[]],[[]],[[]],[]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[[]]]],[[[[]]]],[[[]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[],[],[],[],[],[],[[]],[],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[],[],[],[],[],[],[[],[]],[],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[],[],[],[],[],[],[[],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[[],[],[],[]],[],[],[],[]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[[],[],[]],[],[],[],[]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[[],[]],[],[],[],[]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[[]],[],[],[],[]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[[],[],[],[],[],[],[]]]],[]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[[],[],[],[],[],[],[]],[]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[],[],[],[],[],[[]]]]]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[[],[],[],[],[[[],[]]]]]]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[],[],[],[[[],[],[]]]]]]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[],[],[[[],[],[],[]]]]]]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[],[[[],[],[],[],[]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[]]],[[]]]]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[[],[],[],[],[[]]]]]],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[],[],[],[],[],[[],[[]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[],[],[],[],[],[],[[],[],[[]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[],[],[],[[],[],[],[[]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[],[],[[],[],[],[],[[]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[],[[],[],[],[],[],[[]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[],[],[[],[],[],[],[],[],[[]]]]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[],[],[[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[[[]],[],[]]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[[],[[[[[[[[]]]]]]]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[],[],[],[],[],[[],[],[]],[]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[[],[],[],[]],[],[],[],[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[[],[],[]],[],[],[],[]]]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[[],[]],[],[],[],[]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[[]],[],[],[],[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[]],[],[],[],[],[],[],[[]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[],[[[[[[[[]]]]]]]],[[]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[],[]]]]]]],[]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [[[[[[[[[[],[]]]]]],[]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [[[[[[[[[[],[]]]]],[]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [[[[[[[[[[],[]]]],[]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [[[[[[[[[[],[]]],[]]]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[],[],[],[[[[[[[],[]]]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[],[],[],[[]]]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[]],[],[],[],[]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]],[[[[[]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]],[],[[[[[]]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[[]]]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[[[[]]]]],[[]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[[]]]]],[[[[]]]],[[]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[]]],[[[[]]]],[[[[]]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[[[]]]],[[[]]],[[[[]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[],[],[],[],[[],[]]]]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[],[[[[]]]]]]]]]]]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[],[[[[[]]]]]]]]]]]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[],[[[[[[]]]]]]]]]]]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[],[[[[[[[]]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[[[]]]]]]]]]]],[]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[[],[]]]]]]]]]],[]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[],[[[[[[[[[[],[]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[],[],[],[],[],[],[[],[]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[],[],[],[],[],[],[]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[],[],[],[],[],[],[[[]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[]],[],[],[],[],[],[],[],[],[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[],[[],[[],[[],[[],[[],[]]]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[],[[[],[]],[[],[]]]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[[],[]],[[],[[],[]]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [[],[[],[[[],[[],[]]],[[],[]]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[[],[[[[],[]],[]],[[],[]]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[[],[]],[[],[[],[[],[]]]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[[[],[]],[[[],[]],[[],[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[],[[],[]]],[[],[[],[]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[[[],[]],[]],[[],[[],[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [[],[[[],[[],[[],[]]]],[[],[]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[],[[[],[]],[]]],[[],[]]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[[[[],[]],[[],[]]],[[],[]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[[],[[],[]]],[]],[[],[]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[[[[[],[]],[]],[]],[[],[]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[],[[[],[[],[[],[[],[]]]]],[]]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [[],[[[],[[],[[[],[]],[]]]],[]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[],[[[],[]],[[],[]]]],[]]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[],[[],[]]],[]]],[]]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[],[[[],[[[[],[]],[]],[]]],[]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[[[],[]],[[],[[],[]]]],[]]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[],[[[[],[]],[[[],[]],[]]],[]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[[],[[],[]]],[[],[]]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[[[],[]],[]],[[],[]]],[]]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[],[[[[],[[],[[],[]]]],[]],[]]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[],[[[[],[[[],[]],[]]],[]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[[[[],[]],[[],[]]],[]],[]]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[],[[],[]]],[]],[]],[]]]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[[[[[],[]],[]],[]],[]],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[]],[[],[[],[[],[[],[]]]]]]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[],[]],[[],[[[],[]],[[],[]]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[]],[[[],[]],[[],[[],[]]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[],[]],[[[],[[],[]]],[[],[]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[],[]],[[[[],[]],[]],[[],[]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[],[]],[[[],[[],[[],[]]]],[]]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[],[]],[[[],[[[],[]],[]]],[]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[],[]],[[[[],[]],[[],[]]],[]]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[],[]],[[[[],[[],[]]],[]],[]]]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[]],[[[[[],[]],[]],[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[]]],[[],[[],[[],[]]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[],[[],[]]],[[[],[]],[[],[]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[],[]]],[[[],[[],[]]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[[],[]]],[[[[],[]],[]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[]],[]],[[],[[],[[],[]]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[[],[]],[]],[[[],[]],[[],[]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[]],[]],[[[],[[],[]]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[]],[]],[[[[],[]],[]],[]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[[],[[],[]]]],[[],[[],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[],[[],[]]]],[[[],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[[[],[]],[]]],[[],[[],[]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[[],[]],[]]],[[[],[]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[],[]],[[],[]]],[[],[[],[]]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[[],[]]],[[[],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[],[[],[]]],[]],[[],[[],[]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[[],[]]],[]],[[[],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[[[[],[]],[]],[]],[[],[[],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[[],[]],[]],[]],[[[],[]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[[],[[],[[],[[],[]]]]],[[],[]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[],[[[],[]],[]]]],[[],[]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[[[],[]],[[],[]]]],[[],[]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[[],[[],[]]],[]]],[[],[]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[[[],[]],[]],[]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[],[[],[]]]],[[],[]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[[],[]],[]]],[[],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[[],[]]],[[],[]]],[[],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[[],[]],[]],[[],[]]],[[],[]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[[],[[],[]]]],[]],[[],[]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[[[],[]],[]]],[]],[[],[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[]],[[],[]]],[]],[[],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[],[[],[]]],[]],[]],[[],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[[],[]],[]],[]],[]],[[],[]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [[[[[[[[[[[[]]]]]]]]]],[]]]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[[],[[[[[[[[[[]]]]]]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[],[],[],[],[],[],[]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[],[],[],[],[],[],[[]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[]]],[],[],[],[],[],[],[],[],[]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[]],[[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[]],[[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[[]],[]],[]],[[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[[]],[]],[]],[[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[[]],[]],[]],[[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[[]],[]],[]],[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[]],[[[]],[]],[[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[[]],[]],[[]],[]],[[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[[]],[[]],[]],[[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[[]],[[]],[[]],[]],[[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[[[]],[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[[[]],[]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[[[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[]],[[]],[]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[]],[[]],[]],[]],[[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[[]],[]],[]],[]],[[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]],[[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[]],[[]],[]],[]],[[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[[]],[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[[]],[]],[]],[]],[[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[[]],[]],[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[]],[[[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]],[[[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[]],[[[]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[]],[[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[]],[[[]],[]],[[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[[]],[]],[[]],[]],[[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[[]],[]],[[]],[]],[[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[[]],[]],[[]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[[]],[]],[]],[[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[]],[[[]],[[]],[]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[[]],[[]],[]],[[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[[]],[]],[[]],[[]],[]],[[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[]],[[[]],[[]],[[]],[]],[[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[[]],[[]],[[]],[]],[[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[]],[[[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[]],[[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]],[[[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[]],[[[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[]],[[[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[]],[[[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[]],[[[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[]],[[[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[]],[[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[]],[[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[]],[[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[]],[[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[[]],[[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]],[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[]],[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[]],[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[]],[[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[]],[[[]],[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]],[[]],[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[]],[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[]],[[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[]],[]],[[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[[]],[[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[]],[]],[[]],[]],[]]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[[]],[]],[]],[]],[]]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[[[]],[]],[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[]],[[[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[]],[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[]],[[[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[]],[[]],[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[[]],[[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[[]],[[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[[]],[[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[[]],[[]],[]],[]]]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[[]],[]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[[]],[]],[]],[]],[]]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[[[[]],[]],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[[]],[]],[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[]],[[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[]],[[[[[]],[]],[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[[[[]],[]],[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[]],[[[[]],[]],[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[]],[[[[]],[]],[]],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[]],[[]],[[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[]],[[]],[[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[]],[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]],[[]],[[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[]],[]],[[]],[[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[[]],[]],[]],[[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[[]],[]],[]],[[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[[]],[]],[]],[[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[[]],[]],[]],[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[]],[[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[]],[[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[]],[[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[]],[[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[[[]],[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[[]],[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[]],[[]],[]],[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[]],[[]],[]],[[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[[]],[]],[]],[[]],[]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[[]],[]],[]],[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[]],[[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[]],[[]],[]],[[]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[[]],[]],[]],[]],[[]],[]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[[]],[]],[]],[[]],[]]]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[[]],[]],[]],[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[]],[[[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[]],[[[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[]],[[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]],[[[]],[[]],[]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[[]],[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[[]],[]],[[]],[[]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[[]],[]],[[]],[[]],[]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[[]],[]],[]],[[]],[[]],[]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[]],[[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[]],[[[]],[[]],[[]],[]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[[]],[]],[[]],[[]],[[]],[]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[]],[[[]],[[]],[[]],[[]],[]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[[]],[[]],[[]],[]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[[[[]]]]]]]]]],[[]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[[]],[]]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[[],[]]]]]]]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [[],[[[],[[],[[],[[],[]]]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[]],[],[[[],[[],[[],[]]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[],[[],[[[],[[],[[],[]]]]],[]]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [[],[[[[],[[],[[],[]]]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[],[[]],[],[[[],[[],[]]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[]],[],[[[],[[],[]]]]],[]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [[],[[],[[[],[[],[]]]]],[],[[]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[],[[],[]]]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [[],[[],[[],[[[],[[],[]]]],[]]]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [[],[[[],[[[],[[],[]]]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[]],[],[[[[],[[],[]]]],[]]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[],[[],[[[[],[[],[]]]],[]],[]]]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[],[[],[]]]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[],[[],[[],[[]],[],[[[],[]]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[],[[[],[[]],[],[[[],[]]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[],[[]],[],[[[]],[],[[[],[]]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[],[[],[[[]],[],[[[],[]]]],[]]]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[],[[[[]],[],[[[],[]]]],[]],[]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[],[[],[[]]],[],[[],[[[],[]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[]]],[],[[],[[[],[]]]],[]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[],[[]],[]],[],[[[[],[]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[],[[[]],[]],[],[[[[],[]]]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [[],[[],[[],[[[],[]]]],[],[[]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[],[[[],[]]]],[],[[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[],[[]],[],[[[[],[]]]],[],[[]]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [[],[[],[[[[],[]]]],[],[[]],[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[[[[],[]]]],[],[[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[],[[],[[],[[],[[[],[]]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [[],[[[],[[],[[[],[]]],[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[],[[]],[],[[[],[[[],[]]],[]]]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[],[[],[[[],[[[],[]]],[]]],[]]]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[[[],[]]],[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[],[[],[[]],[],[[[[],[]]],[]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[],[[[]],[],[[[[],[]]],[]]],[]]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[[[],[]]],[]]],[],[[]]]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[[],[]]],[]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [[],[[],[[],[[[[],[]]],[]],[]]]]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [[],[[[],[[[[],[]]],[]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[]],[],[[[[[],[]]],[]],[]]]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[],[[],[[[[[],[]]],[]],[]],[]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[[],[]]],[]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[],[[],[[],[[],[[]],[],[[]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [[],[[[],[[],[[]],[],[[]]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[]],[],[[[],[[]],[],[[]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [[],[[],[[[],[[]],[],[[]]]],[]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[],[[[[],[[]],[],[[]]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[],[[]],[],[[[]],[],[[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[]],[],[[[]],[],[[]]]],[]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[],[[],[[[]],[],[[]]]],[],[[]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[]],[],[[]]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [[],[[],[[],[[[]],[],[[]]],[]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[],[[[],[[[]],[],[[]]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[],[[]],[],[[[[]],[],[[]]],[]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[],[[],[[[[]],[],[[]]],[]],[]]]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[]],[],[[]]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[],[[],[[],[[]]],[],[[],[[]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[]]],[],[[],[[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[]],[],[[[]]],[],[[],[[]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[],[[],[[[]]],[],[[],[[]]],[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[[]]],[],[[],[[]]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[],[[],[[],[[]],[]],[],[[[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[],[[[],[[]],[]],[],[[[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[]],[],[[[]],[]],[],[[[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[[[]],[]],[],[[[]]],[]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[],[[[[]],[]],[],[[[]]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[],[[],[[],[[]]]],[],[[],[[]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[[],[[]]],[]],[],[[[]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[],[[[],[[]]]],[],[[],[[]]],[]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[[],[[]]],[]],[],[[[]]],[]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[],[[],[[]]],[],[[]],[],[[[]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[],[[]],[],[[[]]],[]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[],[[],[[[]]]],[],[[],[[]],[]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[],[[],[[[]]],[]],[],[[[]],[]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[],[[[[]]]],[],[[],[[]],[]],[]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[],[[[[]]],[]],[],[[[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[],[[],[[],[[],[[]]],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[],[[]]],[],[[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[],[[]],[],[[[],[[]]],[],[[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [[],[[],[[[],[[]]],[],[[]]],[]]]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[],[[[[],[[]]],[],[[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[],[[],[[]],[],[[[]]],[],[[]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[]],[],[[[]]],[],[[]]],[]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[[]]],[],[[]]],[],[[]]]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[]]],[],[[]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[],[[],[[],[[[]]],[],[[]],[]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[],[[[],[[[]]],[],[[]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[],[[]],[],[[[[]]],[],[[]],[]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[],[[],[[[[]]],[],[[]],[]],[]]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[]]],[],[[]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[],[[],[[],[[],[[],[[]],[]]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [[],[[[],[[],[[],[[]],[]]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[]],[],[[[],[[],[[]],[]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [[],[[],[[[],[[],[[]],[]]]],[]]]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [[],[[[[],[[],[[]],[]]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[],[[]],[],[[[],[[]],[]]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[]],[],[[[],[[]],[]]]],[]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [[],[[],[[[],[[]],[]]]],[],[[]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[],[[]],[]]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [[],[[],[[],[[[],[[]],[]]],[]]]]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [[],[[[],[[[],[[]],[]]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[],[[]],[],[[[[],[[]],[]]],[]]]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[],[[],[[[[],[[]],[]]],[]],[]]]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[],[[]],[]]],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[],[[],[[],[[]],[],[[[]],[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[],[[[],[[]],[],[[[]],[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[],[[]],[],[[[]],[],[[[]],[]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[],[[],[[[]],[],[[[]],[]]],[]]]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[],[[[[]],[],[[[]],[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[],[[],[[]]],[],[[],[[[]],[]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[],[[[]]],[],[[],[[[]],[]]],[]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[],[[],[[]],[]],[],[[[[]],[]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[],[[[]],[]],[],[[[[]],[]]],[]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[],[[],[[],[[[]],[]]],[],[[]]]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[],[[[],[[[]],[]]],[],[[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[],[[]],[],[[[[]],[]]],[],[[]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[],[[],[[[[]],[]]],[],[[]],[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[],[[[[[]],[]]],[],[[]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[],[[],[[],[[],[[[]],[]],[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [[],[[[],[[],[[[]],[]],[]]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[]],[],[[[],[[[]],[]],[]]]]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[],[[],[[[],[[[]],[]],[]]],[]]]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[[[]],[]],[]]],[]],[]]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[],[[],[[]],[],[[[[]],[]],[]]]]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[],[[[]],[],[[[[]],[]],[]]],[]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[],[[],[[[[]],[]],[]]],[],[[]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[],[[[[[]],[]],[]]],[],[[]],[]]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [[],[[],[[],[[[[]],[]],[]],[]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[],[[[],[[[[]],[]],[]],[]]],[]]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[]],[],[[[[[]],[]],[]],[]]]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[],[[[[[]],[]],[]],[]],[]]]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[[]],[]],[]],[]],[]],[]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[],[[]],[],[],[],[],[],[],[],[],[]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[],[]],[[[[]],[[],[]]],[]]]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[],[[],[],[[]]],[[],[],[[]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[],[],[[]],[[[],[],[[]],[],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[],[[]],[],[]]],[[]],[],[]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[[]],[],[]],[[[]],[],[]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [[[],[[],[[],[[]]]]],[[],[]],[]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[],[[],[[],[[]]]]],[],[[],[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [[],[[[],[[],[[]]]],[[],[]]],[]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[],[[[],[[],[[]]]],[]],[[],[]]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[[],[[]]]],[]],[]],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[],[[]]],[[[],[]],[]]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[],[]],[[],[[]]],[[],[[],[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [[],[[],[[[],[[]]],[[],[]]]],[]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[],[[[[],[[]]],[[],[]]],[]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[],[[],[[[],[[]]],[]]],[[],[]]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[[],[[[],[[]]],[]]],[]],[]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[],[],[[[[],[[]]],[]],[[],[]]]]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [[[[],[[[[],[[]]],[]],[]]],[]]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [[[],[[[[[],[[]]],[]],[]],[]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]],[[]]],[[[],[]],[]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[],[[[],[]],[[]]],[[],[[],[]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[[[],[]],[[]]],[[],[]]],[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[[],[]],[[]]],[]],[[],[]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[[],[]],[[]]],[]],[]],[],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[],[]],[],[[[]],[[[],[]],[]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[]],[],[[[]],[[],[[],[]]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[],[[],[]],[[[]],[[[],[]],[]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[[],[]],[[[]],[[],[[],[]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [[],[[],[[],[[[]],[[],[]]]]],[]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[],[[[],[[[]],[[],[]]]],[]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[],[]],[[[]],[[],[]]]],[]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [[],[],[[],[[[[]],[[],[]]],[]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[],[[],[[],[[[]],[]]]],[[],[]]]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [[[[[],[[],[[[]],[]]]],[]],[]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[],[],[[[],[[[]],[]]],[[],[]]]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [[[[],[[[],[[[]],[]]],[]]],[]]]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [[[],[[[[],[[[]],[]]],[]],[]]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]],[[[]],[]]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[[],[]],[[[]],[]]],[]],[],[]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[],[],[[],[[[[]],[]],[[],[]]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[],[]],[[[[]],[]],[[],[]]]]]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [[[[],[[],[[[[]],[]],[]]]],[]]]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [[[],[[[],[[[[]],[]],[]]],[]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[],[]],[[[[]],[]],[]]],[],[]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [[[],[[],[[[[[]],[]],[]],[]]]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[],[]],[[[[[]],[]],[]],[]],[]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[],[[[],[]]]],[[[],[]],[]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[],[[],[[[],[]]]],[[],[[],[]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[[],[[[],[]]]],[[],[]]],[]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[],[[[],[]]]],[]],[[],[]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[[],[[[],[]]]],[]],[]],[],[]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[],[],[[[[],[]]],[[[],[]],[]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[],[],[[[[],[]]],[[],[[],[]]]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[],[[[[],[]]],[[],[]]]],[]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [[[],[[[[[],[]]],[[],[]]],[]]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[],[[[[],[]]],[]]],[[],[]]]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[],[[[[],[]]],[]]],[]],[],[]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[],[[[[[],[]]],[]],[[],[]]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [[[],[[[[[],[]]],[]],[]]],[],[]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[[[],[]],[]]],[[[],[]],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[[[],[]],[]]],[[],[[],[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[[[],[]],[]]],[[],[]]],[],[]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[[[],[]],[]]],[]],[[],[]],[]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[[[],[]],[]]],[]],[],[[],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[[],[]]]],[[[],[]],[]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[[],[[],[]]]],[[],[[],[]]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[[],[[],[]]]],[[],[]]],[],[]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[[],[[],[]]]],[]],[[],[]],[]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[[[],[[],[]]]],[]],[],[[],[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[],[]],[],[[],[[[[],[]],[]]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[]],[],[[],[[[],[[],[]]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[],[[],[]],[[],[[[[],[]],[]]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[[],[]],[[],[[[],[[],[]]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[],[],[[[],[]],[[[[],[]],[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[],[[[],[]],[[[],[[],[]]]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[[],[]],[]],[[[[],[]],[]]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[[],[]],[]],[[[],[[],[]]]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[],[[],[]]],[[[[],[]],[]]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[],[[],[]]],[[[],[[],[]]]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[],[[],[[],[[],[[[],[]]]]]],[]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[],[],[[[],[[],[[[],[]]]]],[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[],[]],[[],[[[],[]]]]],[]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[],[],[[],[[[],[[[],[]]]],[]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[],[]],[[[],[[[],[]]]],[]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[],[[[],[]],[[[],[]]]]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[],[[[[],[]],[[[],[]]]],[]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[[],[]],[]],[[[],[]]]],[],[]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[],[[],[]]],[[[],[]]]],[],[]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[],[],[[],[[],[[[[],[]]],[]]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[],[]],[[],[[[[],[]]],[]]]]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[],[[[],[]],[[[[],[]]],[]]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[],[]],[]],[[[[],[]]],[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[],[[],[]]],[[[[],[]]],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[],[[],[[],[[],[[]]]]],[[],[]]]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[[],[[],[[],[[]]]]],[]],[]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[],[],[[[],[[],[[]]]],[[],[]]]]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [[[[],[[[],[[],[[]]]],[]]],[]]]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [[[],[[[[],[[],[[]]]],[]],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]],[[],[[]]]],[[],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[],[]],[[],[[]]]],[]],[],[]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[],[],[[],[[[],[[]]],[[],[]]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[],[]],[[[],[[]]],[[],[]]]]]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [[[[],[[],[[[],[[]]],[]]]],[]]]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [[[],[[[],[[[],[[]]],[]]],[]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[],[]],[[[],[[]]],[]]],[],[]]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [[[],[[],[[[[],[[]]],[]],[]]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[],[]],[[[[],[[]]],[]],[]],[]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[],[[[],[]],[[]]]],[[],[]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[],[[[],[]],[[]]]],[]],[],[]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[],[[[[],[]],[[]]],[[],[]]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[],[[[[],[]],[[]]],[]]],[],[]]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[],[[[[[],[]],[[]]],[]],[]],[]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[[],[]],[]],[[]]],[[],[]],[]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[[],[]],[]],[[]]],[],[[],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[],[[],[]]],[[]]],[[],[]],[]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[[],[[],[]]],[[]]],[],[[],[]]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[],[],[[],[[],[[[]],[[],[]]]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[],[]],[[],[[[]],[[],[]]]]]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[],[[[],[]],[[[]],[[],[]]]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[[],[]],[]],[[[]],[[],[]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[[[]],[[],[]]],[]]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[[],[[],[[],[[[]],[]]]]],[]]]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [[[],[[[],[[],[[[]],[]]]],[]]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[],[]],[[],[[[]],[]]]],[],[]]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [[[],[[],[[[],[[[]],[]]],[]]]]]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[],[]],[[[],[[[]],[]]],[]],[]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[],[[[],[]],[[[]],[]]]],[],[]]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[],[[[[],[]],[[[]],[]]],[]],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[[]],[]],[[],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[[]],[]],[[],[]]]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [[[],[[],[[],[[[[]],[]],[]]]]]]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[],[]],[[],[[[[]],[]],[]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[],[[[],[]],[[[[]],[]],[]]],[]]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[]],[],[[[[[]],[]],[]],[]]]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[],[]],[[[[[]],[]],[]],[]]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0] => [[[],[[[],[[[]],[[]],[],[]]]]]]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[],[[[],[[]],[[[[]]]]],[]]]]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [[[],[[[],[[[]],[],[[]],[]]]]]]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[],[[[],[[]],[[],[[[]]]]]]]]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [[[],[[[]],[[[[],[]],[]]],[]]]]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [[[],[[[]],[[[[]]],[[],[]]]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0] => [[[],[[[],[[],[]],[[[]]]],[]]]]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [[[],[[[]],[[[],[[],[]]]],[]]]]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0] => [[[],[[[],[[[[]]],[]],[[]]]]]]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [[[],[[[],[[],[[]],[],[[]]]]]]]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [[[],[[[]],[[[[[]]]],[[]]]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[[],[[[],[[],[],[[]],[[]]]]]]]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [[[],[[[]],[[[],[[[]],[]]]]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[],[[],[[],[],[[[]],[]]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[],[[],[[],[],[[]],[[],[]]]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[],[[],[[],[]],[[[[]]]],[]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[],[[],[[],[],[[],[]],[[]]]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[],[[],[[],[]],[[[],[[]]]]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[[[]]],[[],[],[[]]],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[],[[[[]]],[[],[]],[[[]]]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[],[[[]],[],[],[[]]],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[],[[],[[[]],[],[]],[[[]]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[[[[]],[]]],[[],[]],[]]]]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [[[],[[[[]],[[],[]],[],[]],[]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[],[[[[]]]],[[],[]],[]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[],[[[[],[]],[[]],[],[]],[]]]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [[[],[[],[[[],[[]]],[],[]],[]]]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0] => [[[],[[[[[],[[]]],[]]],[[]]]]]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [[[],[[[[[]],[[]],[],[]],[]]]]]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[[],[[[[]],[[[[]]]]],[[]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [[[],[[[[[]],[],[[]],[]],[]]]]]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [[[],[[[[]],[[],[[[]]]],[]]]]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0] => [[[],[[],[[[[],[]],[]]],[[]]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [[[],[[],[[[[]]],[[],[]],[]]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[],[[[[],[]],[[[]]]],[[]]]]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [[[],[[],[[[],[[],[]]]],[[]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0] => [[[],[[[[[[]]],[]],[[]],[]]]]]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0] => [[[],[[[[],[[]],[],[[]]],[]]]]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [[[],[[],[[[[[]]]],[[]],[]]]]]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [[[],[[[[],[],[[]],[[]]],[]]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[]],[],[[[],[[[]],[]]],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[]],[],[[[],[[]],[[],[]]]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[]],[],[[[]],[[[[]]]],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[]],[],[[[],[[],[]],[[]]]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[]],[],[[[]],[[[],[[]]]]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[]],[],[[],[[],[],[[]]],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[]],[],[[],[[],[]],[[[]]]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[]],[],[[[[]]],[[],[]],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[]],[],[[],[[[]],[],[]],[]]]]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [[[[]],[],[[[[[]],[]]],[[]]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[]],[],[[[[]],[[],[]],[]]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[]],[],[[],[[[[]]]],[[]]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[]],[],[[[[],[]],[[]],[]]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[]],[],[[],[[[],[[]]],[]]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[[]],[]],[],[[[],[[]]],[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[[]],[]],[],[[[]],[[[]]]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[[]],[]],[],[[],[[],[]],[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[]],[]],[],[[[[]]],[[]]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[[]],[]],[],[[],[[[]],[]]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[],[[]]],[],[[[],[[]]],[]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[],[[]]],[],[[[]],[[[]]]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[[],[[]]],[],[[],[[],[]],[]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[[]]],[],[[[[]]],[[]]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[[],[[]]],[],[[],[[[]],[]]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[],[[]]],[]],[],[[[]],[]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[],[[]]],[]],[],[[],[[]]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[]],[[[]]]],[],[[[]],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[]],[[[]]]],[],[[],[[]]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[],[[],[]],[]],[],[[[]],[]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[],[[],[]],[]],[],[[],[[]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[[]]],[[]]],[],[[[]],[]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[[]]],[[]]],[],[[],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[],[[[]],[]]],[],[[[]],[]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[],[[[]],[]]],[],[[],[[]]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[],[[[]],[]]],[]],[],[[]]]]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[],[[]],[[],[]]]],[],[[]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[]],[[[[]]]],[]],[],[[]]]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[],[[],[]],[[]]]],[],[[]]]]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [[[[[]],[[[],[[]]]]],[],[[]]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[[],[],[[]]],[]],[],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[],[[],[]],[[[]]]],[],[[]]]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[[[]]],[[],[]],[]],[],[[]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[[[]],[],[]],[]],[],[[]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[[[[]],[]]],[[]]],[],[[]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[[]],[[],[]],[]]],[],[[]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[[[[]]]],[[]]],[],[[]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[[[],[]],[[]],[]]],[],[[]]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[[[],[[]]],[]]],[],[[]]]]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [[[[[],[[[]],[[]],[],[]]]],[]]]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[[[],[[]],[[[[]]]]],[]],[]]]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[],[[[]],[],[[]],[]]]],[]]]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[],[[]],[[],[[[]]]]]],[]]]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[[]],[[[[],[]],[]]],[]],[]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[[]],[[[[]]],[[],[]]]],[]]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[],[[],[]],[[[]]]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[[[[]],[[[],[[],[]]]],[]],[]]]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[],[[[[]]],[]],[[]]]],[]]]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[],[[],[[]],[],[[]]]]],[]]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [[[[[]],[[[[[]]]],[[]]]],[]]]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [[[[[],[[],[],[[]],[[]]]]],[]]]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[[[[]],[[[],[[[]],[]]]]],[]]]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[],[[],[],[[[]],[]]],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[],[[],[],[[]],[[],[]]]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[],[[],[]],[[[[]]]],[]],[]]]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[],[[],[],[[],[]],[[]]]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[],[[],[]],[[[],[[]]]]],[]]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[[[]]],[[],[],[[]]],[]],[]]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]],[[],[]],[[[]]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[],[[[]],[],[],[[]]],[]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[],[[[]],[],[]],[[[]]]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[[[]],[]]],[[],[]],[]],[]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[[]],[[],[]],[],[]],[]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[[[]]]],[[],[]],[]],[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[[[],[]],[[]],[],[]],[]],[]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[[],[[]]],[],[]],[]],[]]]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[[],[[]]],[]]],[[]]],[]]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[[]],[[]],[],[]],[]]],[]]]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[]],[[[[]]]]],[[]]],[]]]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[[]],[],[[]],[]],[]]],[]]]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [[[[[[]],[[],[[[]]]],[]]],[]]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[],[[[[],[]],[]]],[[]]],[]]]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[],[[[[]]],[[],[]],[]]],[]]]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [[[[[[],[]],[[[]]]],[[]]],[]]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [[[[],[[[],[[],[]]]],[[]]],[]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[[[]]],[]],[[]],[]]],[]]]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[],[[]],[],[[]]],[]]],[]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[],[[[[[]]]],[[]],[]]],[]]]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[],[],[[]],[[]]],[]]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[[],[[],[[],[[],[[],[[]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[],[]],[],[],[],[],[],[],[],[],[]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[]],[[],[[],[[],[[],[],[]]]]]]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[]],[[],[[],[[[],[],[]],[]]]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[]],[[],[[[],[],[[]],[],[]]]]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[]],[[],[[[],[[],[],[]]],[]]]]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [[[]],[[],[[[[],[],[]],[]],[]]]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[]],[[[],[],[[]],[[],[],[]]]]]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[]],[[[],[],[[[]],[],[]],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[]],[[[],[[],[],[[]]],[],[]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[]],[[[[],[],[]],[[]],[],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[]],[[[],[[],[[],[],[]]]],[]]]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [[[]],[[[],[[[],[],[]],[]]],[]]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[]],[[[[],[],[[]],[],[]]],[]]]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [[[]],[[[[],[[],[],[]]],[]],[]]]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[]],[[[[[],[],[]],[]],[]],[]]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[[]],[],[[]],[[],[[],[],[]]]]]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[]],[],[[]],[[[],[],[]],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[[]],[],[[[]],[],[[]],[],[]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[]],[],[[[]],[[],[],[]]],[]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[]],[],[[[[]],[],[]],[]],[]]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[]],[[],[],[[]]],[[],[],[]]]]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[]],[[],[],[[[]]],[],[]],[]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[[[]],[],[]],[[]],[[],[],[]]]]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[]],[[],[[],[],[[]]]],[],[]]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[]],[[[],[],[]],[[]]],[],[]]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[[[]],[],[[]],[],[[]]],[],[]]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[[]],[[],[],[]]],[[]],[],[]]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[[[[]],[],[]],[]],[[]],[],[]]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[]],[[],[[],[[],[],[]]]]],[]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[]],[[],[[[],[],[]],[]]]],[]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[]],[[[],[],[[]],[],[]]]],[]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[]],[[[],[[],[],[]]],[]]],[]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[]],[[[[],[],[]],[]],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[[]],[],[[]],[[],[],[]]]],[]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[[]],[],[[[]],[],[]],[]]],[]]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[]],[[],[],[[]]],[],[]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[[[]],[],[]],[[]],[],[]]],[]]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[]],[[],[[],[],[]]]],[]],[]]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[]],[[[],[],[]],[]]],[]],[]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[[]],[],[[]],[],[]]],[]],[]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[[]],[[],[],[]]],[]],[]],[]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[[[[]],[],[]],[]],[]],[]],[]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[],[],[[]],[[],[[],[[],[],[]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[],[],[[]],[[],[[[],[],[]],[]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[],[],[[]],[[[],[[],[],[]]],[]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[],[],[[]],[[[[],[],[]],[]],[]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[],[],[[[]],[],[[]],[[],[],[]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[],[],[[[]],[],[[[]],[],[]],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[],[],[[[]],[[],[],[[]]],[],[]]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[],[],[[[[]],[],[]],[[]],[],[]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[],[],[[[]],[[],[[],[],[]]]],[]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[],[],[[[]],[[[],[],[]],[]]],[]]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[],[],[[[[]],[],[[]],[],[]]],[]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[],[],[[[[]],[[],[],[]]],[]],[]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[],[],[[[[[]],[],[]],[]],[]],[]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[],[[],[],[[]]],[[],[[],[],[]]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[],[[],[],[[]]],[[[],[],[]],[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[],[[],[],[[[]]],[],[[]],[],[]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[],[[],[],[[[]]],[[],[],[]]],[]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [[],[[],[],[[[[]]],[],[]],[]],[]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[],[]],[[]],[[],[[],[],[]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[[],[],[]],[[]],[[[],[],[]],[]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[],[],[]],[[[]],[],[[]],[],[]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[],[],[]],[[[]],[[],[],[]]],[]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[],[],[]],[[[[]],[],[]],[]],[]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[],[[],[[],[],[[]]]],[[],[],[]]]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[],[[],[[],[],[[[]]]],[],[]],[]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[],[[[],[],[]],[[]]],[[],[],[]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[],[[[],[],[]],[[[]]],[],[]],[]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[],[],[[]],[],[[]]],[[],[],[]]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[],[],[[]],[],[[[]]],[],[]],[]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[],[[],[],[]]],[[]],[[],[],[]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[],[[],[],[]]],[[[]],[],[]],[]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[[],[],[]],[]],[[]],[[],[],[]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[[],[],[]],[]],[[[]],[],[]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[],[[],[[],[[],[],[[]]]]],[],[]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[],[[],[[[],[],[]],[[]]]],[],[]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[],[],[[]],[],[[]]]],[],[]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[],[[],[],[]]],[[]]],[],[]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[[],[],[]],[]],[[]]],[],[]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[],[],[[]],[[],[],[[]]]],[],[]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[],[],[[[]],[],[]],[[]]],[],[]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[],[[],[],[[]]],[],[[]]],[],[]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[],[],[]],[[]],[],[[]]],[],[]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[],[[],[],[]]]],[[]],[],[]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[[],[],[]],[]]],[[]],[],[]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[],[[],[],[]]],[]],[[]],[],[]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[[],[],[]],[]],[]],[[]],[],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[],[[],[[],[[],[[],[],[[]]]]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [[],[[],[[],[[[],[],[]],[[]]]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[],[[],[[[],[],[[]],[],[[]]]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [[],[[],[[[],[[],[],[]]],[[]]]]]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [[],[[],[[[[],[],[]],[]],[[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[],[],[[]],[[],[],[[]]]]]]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [[],[[[],[],[[[]],[],[]],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[],[[[],[[],[],[[]]],[],[[]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[],[[[[],[],[]],[[]],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [[],[[[],[[],[[],[],[]]]],[[]]]]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[],[[[],[[[],[],[]],[]]],[[]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[[],[],[[]],[],[]]],[[]]]]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[],[[[[],[[],[],[]]],[]],[[]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[],[[[[[],[],[]],[]],[]],[[]]]]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[],[],[[]],[[],[[],[],[[]]]]]]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[],[],[[]],[[[],[],[]],[[]]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[],[],[[[]],[],[[]],[],[[]]]]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[],[],[[[]],[[],[],[]]],[[]]]]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[],[],[[[[]],[],[]],[]],[[]]]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [[[],[[],[],[[[]]],[],[]],[[]]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[]],[[]],[[],[],[[]]]]]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[],[],[]],[[[]],[],[]],[[]]]]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[],[[],[[],[],[[]]]],[],[[]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[],[[[],[],[]],[[]]],[],[[]]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[],[],[[]],[],[[]]],[],[[]]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[],[[],[],[]]],[[]],[],[[]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[[[],[],[]],[]],[[]],[],[[]]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [[[],[[],[[],[[],[],[]]]]],[[]]]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [[[],[[],[[[],[],[]],[]]]],[[]]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [[[],[[[],[],[[]],[],[]]]],[[]]]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [[[],[[[],[[],[],[]]],[]]],[[]]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [[[],[[[[],[],[]],[]],[]]],[[]]]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[],[],[[]],[[],[],[]]]],[[]]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[],[],[[[]],[],[]],[]]],[[]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[[],[],[[]]],[],[]]],[[]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[[],[],[]],[[]],[],[]]],[[]]]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[],[[],[[],[],[]]]],[]],[[]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[],[[[],[],[]],[]]],[]],[[]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[],[],[[]],[],[]]],[]],[[]]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[],[[],[],[]]],[]],[]],[[]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[],[],[]],[]],[]],[]],[[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[[]],[[]],[[]],[]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[[]]],[]]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[[],[[]]]]]]]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[[],[],[],[],[],[]]]]]],[]]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[],[[[[[[],[],[],[],[],[]]]]]]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[[[]],[[]],[]],[]],[],[]]]]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[[]],[[[]],[]],[],[]]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[[[]],[]],[[]],[],[]],[]]]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[[]],[[]],[[]],[],[],[]]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[]],[[[[]],[],[]]],[]],[]]]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[]],[[[]],[[],[]]],[],[]]]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[[]],[]],[[[],[]],[]]],[]]]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[]],[[]],[[[],[],[]]]],[]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[[[[]],[]],[],[[]],[]],[]]]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[[[]],[[]],[],[[]],[],[]]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[[]],[[[]],[],[[],[]]],[]]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[[[]],[]],[[],[[],[]],[]]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[[]],[[]],[[],[[],[],[]]]]]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[]],[[[[[],[]]],[]],[]],[]]]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [[[[]],[[[[],[[]]],[]],[],[]]]]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [[[[]],[[[],[[[]]],[],[]]],[]]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[]],[[[[],[]]],[[],[]],[]]]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[]],[[[],[[]]],[[],[],[]]]]]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[[[]],[],[[[[]],[]]],[]],[]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[[]],[],[[[]],[[]]],[],[]]]]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[[[]],[[],[[[[],[]]]],[]],[]]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[]],[[],[[[],[[]]]],[],[]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[[]],[],[]],[[[]],[]]],[]]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[[]],[[],[]],[[[],[]]]],[]]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[]],[[[],[],[[[]]],[]]],[]]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[]],[],[[],[[[]],[]]]],[]]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[]],[[],[[],[[[],[]]]]],[]]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[[[]],[],[]],[]],[[]],[]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[[[]],[[],[]],[]],[[],[]]]]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[[]],[[[],[]],[],[[]]],[]]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[[[]],[],[[]],[],[[]],[]]]]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[[]],[[],[[]],[],[[],[]]]]]]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[]],[[[[],[],[]]],[[]],[]]]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[]],[[[],[[],[]]],[[],[]]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[]],[],[[[],[]],[[]]],[]]]]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[]],[[],[[[],[],[[]]]],[]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[[]],[],[],[[]],[[]],[]]]]]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[]],[[],[],[[]],[[],[]]]]]]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[]],[[[],[],[[],[[]]],[]]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[]],[],[[],[[],[[]],[]]]]]]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[]],[[],[[],[[],[[],[]]]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[[[[[]]],[]],[]],[]],[]]]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[],[[[[[]]],[[]],[]],[],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[],[[[[]]],[[[]],[],[]]],[]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[],[[[[[]]],[]],[[],[]],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[],[[[[]]],[[]],[[],[],[]]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[],[[[]]],[[[[],[]]],[]],[]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[],[[[]]],[[[],[[]]],[],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[],[[[[]]],[],[[[]],[]]],[]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[[]]],[[],[[[],[]]]],[]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[],[[[[[]]],[],[]],[[]],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[],[[[[]]],[[],[]],[[],[]]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[],[[[]]],[[[],[],[[]]],[]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[],[[[[]]],[],[[],[[]],[]]]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[],[[[]]],[[],[[],[[],[]]]]]]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[[],[]],[[[[[]]],[]],[]],[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[],[]],[[[[]]],[[]],[],[]]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[],[]],[[[]]],[[[],[]]],[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[],[]],[[[[]]],[],[[]],[]]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[]],[[[]]],[[],[[],[]]]]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[],[[[[[]]]],[]],[]],[]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [[[],[[],[[[[]]]],[[]],[],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[],[[],[[[]]]],[[[],[]]],[]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[[[[]]]],[],[[]],[]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[],[[],[[[]]]],[[],[[],[]]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[],[]],[]],[[[[]]],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[[],[]],[]],[[[]]],[[],[]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[],[[]],[],[[[[]]]],[]],[]]]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[],[[]],[],[[[]]]],[[],[]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[],[[[],[]]],[[[[]]],[]],[]]]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[],[[[],[]]],[[[]]],[[],[]]]]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[],[],[[]],[[[[]]]],[]],[]]]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[],[],[[]],[[[]]]],[[],[]]]]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [[[],[[],[[],[[[[]]]]],[]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [[[],[[],[[],[[[]]]]],[[],[]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[[[],[]],[]],[]],[[[]]],[]]]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[[[],[[]],[]],[],[[[]]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[[[]],[],[]]],[[[]]],[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[],[]],[[],[]],[[[]]]],[]]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[[]],[[],[],[[[]]]]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[],[[[[],[]]],[]],[[[]]],[]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[],[[[],[[]]],[],[[[]]]],[]]]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[],[[[]],[]]],[[[]]],[]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [[[],[[],[[[],[]]]],[[[]]],[]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[[],[],[]],[[]],[[[]]]],[]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[[],[]],[[],[[[]]]]],[]]]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [[[],[[[],[],[[]]],[[[]]]],[]]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[],[],[[],[[]],[[[]]]]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [[[],[[],[[],[[],[[[]]]]]],[]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[[[[],[]],[]],[]],[]],[[]]]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[[[],[[]],[]],[]],[],[[]]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[[],[[[]],[]],[],[]]],[[]]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[[[],[]],[[]],[],[]],[[]]]]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[[],[[]],[[]],[],[],[[]]]]]]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[],[[[[]],[],[]]],[]],[[]]]]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[],[[[]],[[],[]]],[],[[]]]]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[],[]],[[[],[]],[]]],[[]]]]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[],[[]],[[[],[],[]]]],[[]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[[],[]],[],[[]],[]],[[]]]]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[],[[]],[],[[]],[],[[]]]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[],[[[]],[],[[],[]]],[[]]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[],[]],[[],[[],[]],[[]]]]]]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[],[[]],[[],[[],[],[[]]]]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [[[],[[[[[],[]]],[]],[]],[[]]]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [[[],[[[[],[[]]],[]],[],[[]]]]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [[[],[[[],[[[]]],[],[]]],[[]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[],[[[[],[]]],[[],[]],[[]]]]]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[],[[[],[[]]],[[],[],[[]]]]]]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[],[],[[[[]],[]]],[]],[[]]]]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[],[],[[[]],[[]]],[],[[]]]]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [[[],[[],[[[[],[]]]],[]],[[]]]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [[[],[[],[[[],[[]]]],[],[[]]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[],[],[]],[[[]],[]]],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[],[[],[]],[[[],[]]]],[[]]]]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [[[],[[[],[],[[[]]],[]]],[[]]]]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [[[[],[],[[],[[[]],[]]]],[[]]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [[[],[[],[[],[[[],[]]]]],[[]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[[[],[],[]],[]],[[]],[[]]]]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[],[]],[]],[[],[[]]]]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[[[],[]],[],[[]]],[[]]]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[[],[],[[]],[],[[]],[[]]]]]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[],[[],[[]],[],[[],[[]]]]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [[[],[[[[],[],[]]],[[]],[[]]]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [[[],[[[],[[],[]]],[[],[[]]]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[],[[[],[]],[[]]],[[]]]]]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [[[],[[],[[[],[],[[]]]],[[]]]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[[],[],[],[[]],[[]],[[]]]]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[],[[],[],[[]],[[],[[]]]]]]]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [[[],[[[],[],[[],[[]]],[[]]]]]]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[],[],[[],[[],[[]],[[]]]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[[],[],[],[],[],[[]]]]]]]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [[[]],[[[],[[[]],[],[]],[],[]]]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[]],[[[],[[]],[],[[],[],[]]]]]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [[[]],[[[[[],[[[]],[]]],[]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [[[]],[[[[[],[]],[]],[],[]],[]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[]],[[[[],[]],[[],[],[]]],[]]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[]],[[],[],[[],[[[]],[],[]]]]]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[]],[[],[],[[[[],[]],[]]],[]]]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[]],[[],[[[],[[],[]]]],[],[]]]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[]],[[[[],[],[[]]],[]],[],[]]]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[]],[[],[[[],[],[]],[[],[]]]]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[]],[[],[[],[],[[],[[],[]]]]]]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [[[]],[[[[],[[[],[[]]],[]]]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[]],[[[[],[],[]],[],[[]],[]]]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[]],[[[],[],[[],[],[[]]],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[]],[[[]]],[[[]],[],[]]]]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [[[[[]],[[[[[]]],[]],[]]],[]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[[[]],[[]]],[],[[],[]],[],[]]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[[]],[[]]],[[[],[[],[]]]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[[]],[[[[]]],[],[[]]],[]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[[]],[]],[],[[[]],[]],[],[]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[[[]],[]],[],[[]],[],[[],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[]],[],[[],[[[]]],[]],[],[]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[]],[],[[],[[]]],[],[[],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[[]],[[[]],[],[[[]]]],[]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[[[[]],[]],[]]],[[[]],[]]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[]],[],[[],[]],[],[[[]],[]]]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[]],[[[],[[],[[[]]]]],[]]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[[[]],[],[[]]],[[[]]],[]]]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[[]],[[[]],[],[]],[],[]]],[]]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[[]],[[]],[],[[],[],[]]]],[]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[[]],[[[]],[]]],[]]]],[]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[[[[]],[]],[]],[],[]],[]],[]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[[[]],[]],[[],[],[]]],[]],[]]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[]],[],[[],[[[]],[],[]]]],[]]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[]],[],[[[[],[]],[]]],[]],[]]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[]],[[[],[[],[]]]],[],[]],[]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[[[]],[],[[]]],[]],[],[]],[]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[]],[[[],[],[]],[[],[]]]],[]]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[]],[[],[],[[],[[],[]]]]],[]]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [[[[[[]],[[[],[[]]],[]]]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[[[[]],[],[]],[],[[]],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[[]],[],[[],[],[[]]],[]]],[]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[],[],[[]],[[[],[[[]],[],[]]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[],[],[[]],[[[[[],[]],[]]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[],[],[[]],[[],[],[[],[]],[],[]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[],[],[[]],[[],[[[],[[],[]]]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[],[],[[]],[[[[],[],[[]]],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[],[],[[[[]],[[[]]],[]],[],[]]]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[],[],[[[[]],[[]]],[],[[],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[],[],[[[[]],[]],[],[[[]],[]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[],[],[[[]],[],[[],[[[]]],[]]]]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[],[],[[[[]],[[[]],[],[]]]],[]]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [[],[],[[[[[[]],[]],[]]],[]],[]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[],[],[[[]],[],[[],[]],[],[]],[]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[],[],[[[]],[[[],[[],[]]]]],[]]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[],[],[[[[[]],[],[[]]],[]]],[]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[],[[[],[[]]]],[[[],[]],[],[]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[],[[[],[[]]]],[[],[],[[],[]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [[],[[[],[[[[]]]],[[[]]],[]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [[],[[[],[[[[]]]],[]],[],[]],[]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[],[[[],[[[]]]],[],[[],[]]],[]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]]],[[]],[[[],[]],[],[]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[[[],[]]],[[]],[[],[],[[],[]]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[],[]]],[[[[]],[[[]]],[]]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[],[]]],[[[[]],[]],[],[]],[]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[[],[]]],[[[]],[],[[],[]]],[]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[],[[[],[]],[],[[]]],[[[],[]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[],[[[],[]],[],[[[[]]],[]]],[]]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[],[[],[],[[],[[]]]],[[[],[]]]]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[],[[],[],[[],[[[[]]]],[]]],[]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[],[[[]]],[[]]]],[[[],[]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[],[[[]]],[[[[]]]],[]]],[]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[[],[]],[],[]],[[]],[[[],[]]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[[],[]],[],[]],[[[[]],[]]],[]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[],[],[[],[]]],[[]],[[[],[]]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[],[],[[],[]]],[[[[]],[]]],[]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[],[[[],[[[]],[],[[]]]]],[],[]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[],[[[[[],[]],[]]],[[]]],[],[]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[],[[],[],[[],[]],[],[[]]],[],[]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [[],[[],[[[],[[],[[]]]]]],[],[]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [[],[[[[],[],[[]]],[[]]]],[],[]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[],[[[]]],[]],[],[[]]],[],[]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[[]]],[],[[],[[]]]],[],[]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[],[]],[],[[[]],[[]]]],[],[]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [[[],[],[[],[[[]]],[[]]]],[],[]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[[[]],[],[]]]],[[]],[],[]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[[[],[]],[]]],[]],[[]],[],[]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[],[],[[],[]],[],[]],[[]],[],[]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [[[],[[[],[[],[]]]]],[[]],[],[]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[[],[],[[]]],[]]],[[]],[],[]]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[],[[[],[[[]],[],[]],[],[[]]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[],[[[],[[]],[],[[],[],[[]]]]]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [[],[[[[[],[[[]],[]]],[[]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[],[[[[[],[]],[]],[],[]],[[]]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[],[[[[],[]],[[],[],[]]],[[]]]]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[],[[],[],[[],[[[]],[],[[]]]]]]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[],[[],[],[[[[],[]],[]]],[[]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [[],[[],[[[],[[],[]]]],[],[[]]]]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[],[[[[],[],[[]]],[]],[],[[]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[],[[],[[[],[],[]],[[],[[]]]]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[],[[],[[],[],[[],[[],[[]]]]]]]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [[],[[[[],[[[],[[]]],[[]]]]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[],[[[[],[],[]],[],[[]],[[]]]]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[],[[[],[],[[],[],[[]]],[[]]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[],[[[]]],[[[]],[],[[]]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[],[[[[[]]],[]],[]]],[[]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[[]]],[],[[],[]],[],[[]]]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[],[[]]],[[[],[[],[[]]]]]]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[],[[[[]]],[],[[]]],[[]]]]]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[],[]],[],[[[]],[]],[],[[]]]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[],[]],[],[[]],[],[[],[[]]]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [[[],[],[[],[[[]]],[]],[],[[]]]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[],[],[[],[[]]],[],[[],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[],[[[]],[],[[[]]]],[[]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[[[],[]],[]]],[[[]],[[]]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[],[],[[],[]],[],[[[]],[[]]]]]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [[[],[[[],[[],[[[]]]]],[[]]]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[],[],[[]]],[[[]]],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[],[[[]],[],[]],[],[]]],[[]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[],[[]],[],[[],[],[]]]],[[]]]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [[[[[[],[[[]],[]]],[]]]],[[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[[[[],[]],[]],[],[]],[]],[[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[[],[]],[[],[],[]]],[]],[[]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [[[],[],[[],[[[]],[],[]]]],[[]]]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [[[],[],[[[[],[]],[]]],[]],[[]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [[[],[[[],[[],[]]]],[],[]],[[]]]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[[[],[],[[]]],[]],[],[]],[[]]]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[],[[[],[],[]],[[],[]]]],[[]]]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[],[[],[],[[],[[],[]]]]],[[]]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [[[[[],[[[],[[]]],[]]]]],[[]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[[],[],[]],[],[[]],[]]],[[]]]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[],[],[[],[],[[]]],[]]],[[]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[]]],[],[[]],[],[[[[]]]],[]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[],[[]]],[[]],[],[],[[[[]]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[]],[],[[[]],[]],[[[[]]]],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[],[],[[]]],[[]],[],[[[[]]]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[],[]],[[[]],[]],[[[[]]]],[]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[[]]],[],[[]],[],[[],[[[]]]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[],[[[]]]],[[]]],[[]],[],[]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[],[[[]],[],[]],[[[[]]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[]]],[],[[],[]],[[],[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[[[]]]],[],[[]],[]],[[]],[]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[],[[]]],[[],[]],[[[[]]]]]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[],[[[]]]],[[]],[]],[[]],[]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[[]]],[[],[],[]],[[[[]]]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[]],[]],[[],[]],[[],[[[]]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[]],[],[[[],[]]],[],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[[[]]]],[]],[[[],[]]],[],[]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[]],[],[[],[[],[]]],[[[[]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[[[]]]],[],[]],[[[],[]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[]],[[],[[],[]]],[[[[]]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[],[[[]]],[]]],[],[[[]]],[]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[],[[],[[[]]],[]]],[[[]]],[]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[[[]]],[]]],[],[[[],[]]],[]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[],[[[[]]],[]]],[[[],[]]],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[]]],[],[[],[[]],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[[[[]]],[]]],[],[[[]],[],[]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[]]],[],[[],[[],[]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[[[]]],[],[]]],[],[[[]],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[]]],[],[[[],[]],[[[]]]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[],[[]],[],[[]],[]],[[[[]]]]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[]],[],[],[[]]],[[],[[[]]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[],[[[[]]],[]],[[]],[]],[[]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[[]]],[[],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[[[[]]],[]],[[]],[]],[[],[]]]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[]],[],[[],[]]],[[[[]]]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[]],[],[]],[[[],[]],[[[]]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[],[[[[]]],[],[]],[[]]],[[]]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[],[[],[]],[[],[]]],[[[[]]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[]],[]],[[[]],[],[[[]]],[]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[[[],[]],[[]]],[[],[],[[[]]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[]],[]],[[[],[]],[[[]]],[]]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[[],[],[]],[[]]],[[],[[[]]]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[[],[]],[[],[]]],[[[[]]],[]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [[[]],[],[[[[[]],[]]]],[],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[]],[]],[[[[[]],[]]]],[],[]]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[]],[],[[],[[[[]],[]]]],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[]],[],[]],[[[[[]],[]]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[],[]],[[],[[[[]],[]]]],[[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[],[]]],[],[[[[[]],[]]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[],[[],[]]],[[[[[]],[]]]],[]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[]]],[],[[],[[[[]],[]]],[]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[],[]]],[],[[[[[]],[]]],[]]]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[],[[]],[],[[[[]],[]]]],[[]]]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[]],[],[]],[[[[[]],[]]],[]]]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[],[[],[]],[[[[]],[]]]],[[]]]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[]],[]],[[[[[]],[]]],[],[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[],[]],[[[[]],[]]]],[[],[]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[[]],[],[[]]]]],[],[[]],[]]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[],[[[[]],[],[[]]]]],[[]],[]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[[]],[],[[]]]]],[],[[],[]]]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[],[[[[]],[],[[]]]],[]],[[]]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[[]],[],[[]]]],[]],[[],[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[[[],[]],[[]]]]],[],[[]],[]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[],[[[[],[]],[[]]]]],[[]],[]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[[[],[]],[[]]]]],[],[[],[]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[],[[[[],[]],[[]]]],[]],[[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[[[],[]],[[]]]],[]],[[],[]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[]],[],[[[[[]]],[],[[]],[]]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [[[],[]],[[[[[]]],[],[[]],[]]]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[]],[],[[[[],[[]]],[[]],[]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[],[]],[[[[],[[]]],[[]],[]]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [[[]],[],[[[[[]]],[],[[],[]]]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [[[],[]],[[[[[]]],[],[[],[]]]]]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[]],[],[[[[],[[]],[]],[[]]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[],[]],[[[[],[[]],[]],[[]]]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[]],[],[[[[[]],[]],[[],[]]]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [[[],[]],[[[[[]],[]],[[],[]]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[[]],[],[[[]]],[],[[]]]],[]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[[]],[]],[[[]]],[],[]]],[]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[]],[],[[],[[]]],[[]]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[[]],[],[]],[[[]]],[]]],[]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[],[]],[[],[[]]],[[]]]],[]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[[],[]]],[],[[[]]],[]]],[]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[],[[],[]]],[[[]]],[]]],[]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[[[]]],[],[[],[[]],[]]]],[]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[[],[]]],[],[[[]],[]]]],[]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[],[[]],[],[[]]],[[]]]],[]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[[]],[],[]],[[[]],[]]]],[]]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[],[[],[]],[[]]],[[]]]],[]]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[[]],[]],[[[]],[],[]]]],[]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[[[],[]],[[]]],[[],[]]]],[]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[[]]],[],[[]],[],[[[]]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[],[[]]],[[]],[],[],[[[]]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[]],[],[[[]],[]],[[[]]],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[[],[],[[]]],[[]],[],[[[]]]]]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[]],[[[]],[]],[[[]]],[]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[[]]],[],[[]],[],[[],[[]]]]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[[],[[]]],[[]]],[[]],[],[]]]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[]],[],[[[]],[],[]],[[[]]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[[]]],[],[[],[]],[[],[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[[]]],[],[[]],[]],[[]],[]]]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[],[[]]],[[],[]],[[[]]]]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[[],[[]]],[[]],[]],[[]],[]]]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[[]]],[[],[],[]],[[[]]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[[[]],[]],[[],[]],[[],[[]]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[]],[],[[[],[]]],[],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[[]]],[]],[[[],[]]],[],[]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[]],[],[[],[[],[]]],[[[]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[[[]]],[],[]],[[[],[]]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[],[]],[[],[[],[]]],[[[]]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[[],[[]],[]]],[],[[[]]],[]]]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[],[[],[[]],[]]],[[[]]],[]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[[[]],[]]],[],[[[],[]]],[]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[],[[[]],[]]],[[[],[]]],[]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[[]]],[],[[],[[]],[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[[[]],[]]],[],[[[]],[],[]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[]]],[],[[],[[],[]],[[]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[[]],[],[]]],[],[[[]],[]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[],[]]],[],[[[],[]],[[]]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[],[[]],[],[[]],[]],[[[]]]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[[]],[],[],[[]]],[[],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[],[[[]],[]],[[]],[]],[[]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[[]],[],[[]]],[[],[],[[]]]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[[[]],[]],[[]],[]],[[],[]]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[],[[]],[],[[],[]]],[[[]]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[[]],[],[]],[[[],[]],[[]]]]]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[],[[[]],[],[]],[[]]],[[]]]]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[],[[],[]],[[],[]]],[[[]]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[[]],[]],[[[]],[],[[]],[]]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[[[],[]],[[]]],[[],[],[[]]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[[]],[]],[[[],[]],[[]],[]]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[[],[],[]],[[]]],[[],[[]]]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[[],[]],[[],[]]],[[[]],[]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [[[[[[[[[[[[]]]]]]]]],[]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[],[],[],[],[],[],[]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[[[]],[],[],[],[],[]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[],[],[],[],[],[],[[],[]],[]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[],[],[],[],[],[],[[]],[]]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[],[],[[],[[],[[[],[[]],[]]]]]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[],[],[[],[[[],[[],[[]]],[]]]]]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[],[],[],[[[[],[[]],[[]],[]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[],[[[],[]],[[[],[[]],[]]]]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[],[],[[[],[[],[[],[[]]]],[]]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[],[],[],[[[],[[]],[[[]]],[]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[],[[[[],[]],[[],[[]]],[]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[[],[[],[]]],[[[[]],[]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[],[[],[]],[[]],[[[[]],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[],[[],[]],[[],[[[],[[]],[]]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[],[[],[]],[[[],[[],[[]]],[]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[],[[],[]],[[],[]],[[[[]],[]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[],[[],[]]],[[[],[[]],[]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[],[[[],[]],[]],[[[],[[]],[]]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[],[],[[],[[],[[],[[[]]]]],[]]]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[],[],[],[[[],[[[]],[[]]]],[]]]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[],[],[[[],[]],[[],[[[]]]],[]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[],[],[],[[],[[[]]],[[[]]],[]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[],[],[],[[]],[[[[]],[[]]],[]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[],[[],[]],[[],[[],[[[]]]],[]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[],[[],[]],[],[[[]],[[[]]],[]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[[],[[],[]]],[[],[[[]]],[]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[],[[[],[]],[]],[[],[[[]]],[]]]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[],[],[],[[],[[[[]]]],[[]],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[],[],[],[[[[]],[]]],[[[]],[]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[],[[],[]],[],[[[[]]],[[]],[]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[],[],[],[[[[]]],[]],[[[]],[]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[],[],[[]],[[]],[[]],[[[]],[]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[],[]],[],[[],[[[],[[]],[]]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[],[]],[],[[[],[[],[[]]],[]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[[],[]],[],[[],[]],[[[[]],[]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[],[]],[[],[]],[[[],[[]],[]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[],[]],[],[[],[[],[[[]]]],[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[],[]],[],[],[[[]],[[[]]],[]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[]],[[],[]],[[],[[[]]],[]]]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[],[]],[],[],[[[[]]],[[]],[]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[],[]],[],[[]],[[]],[[[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[],[[],[]]],[],[[[],[[]],[]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[],[]]],[],[[],[[[]]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[],[[],[]]],[],[[]],[[[]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[]],[]],[],[[[],[[]],[]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[[[],[]],[]],[],[[],[[[]]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[[],[]],[]],[],[[]],[[[]],[]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[],[[],[[],[]]]],[],[[[]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[],[[[],[]],[]]],[],[[[]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[],[]],[[],[]]],[],[[[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[],[[],[]]],[]],[],[[[]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[[[],[]],[]],[]],[],[[[]],[]]]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[],[[],[[],[[],[[],[[]]]]]],[]]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[],[],[[],[[[],[[]],[[]]]]],[]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[],[[[],[]],[[],[[]]]]],[]]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[],[],[[[],[[],[[]]],[[]]]],[]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[],[],[[],[[]],[]],[[[[]]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[],[[[],[]],[[],[[],[[]]]]],[]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[],[[],[]],[[[],[[]],[[]]]],[]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[],[[],[]]],[[],[[]]]],[]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[],[[[[],[]],[]],[[],[[]]]],[]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[],[[],[[],[[],[]]]],[[[]]],[]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[],[[[],[[]],[]]],[[[]]],[]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[],[[[],[]],[[],[]]],[[[]]],[]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[[],[]]],[[]],[[[]]],[]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[],[[],[]],[[]],[[]],[[[]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[],[]],[[],[[],[[],[[]]]]],[]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[],[]],[],[[[],[[]],[[]]]],[]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[]],[[[],[]],[[],[[]]]],[]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[],[]],[[],[[],[]]],[[[]]],[]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[],[]],[[],[]],[[]],[[[]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[],[[],[]]],[[],[[],[[]]]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[],[[],[]]],[[],[]],[[[]]],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[[],[]],[]],[[],[[],[[]]]],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[],[]],[]],[[],[]],[[[]]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[[],[[],[]]]],[[],[[]]],[]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[],[[[],[]],[]]],[[],[[]]],[]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[],[]],[[],[]]],[[],[[]]],[]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[],[[],[]]],[]],[[],[[]]],[]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[[],[]],[]],[]],[[],[[]]],[]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [[],[[[],[[],[[],[]]]]],[[]],[]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[],[],[[],[[[]],[[]]]],[[]],[]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[],[[[[],[]],[[],[]]]],[[]],[]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [[],[],[[[],[[[]]],[]]],[[]],[]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[],[],[[]],[[[]],[[]]],[[]],[]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[],[]],[[[],[[],[]]]],[[]],[]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[],[]],[],[[[[]],[]]],[[]],[]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[],[[],[]]],[[[],[]]],[[]],[]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[],[]],[]],[[[],[]]],[[]],[]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [[],[],[[],[[[[]]]],[]],[[]],[]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[[[[]],[]]],[[]],[[]],[]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[],[]],[],[[[[]]],[]],[[]],[]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[],[],[[[[]]],[]],[[]],[[]],[]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[[],[[],[]]]],[[]],[[],[]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[[[],[]],[]]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[],[]],[[],[]]],[[]],[[],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[],[[],[]]],[]],[[]],[[],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[[],[]],[]],[]],[[]],[[],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[],[],[],[],[],[],[[],[]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[[[[],[]],[]],[]],[]],[]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[],[],[],[],[],[],[]],[]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[]],[[]],[[],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[]],[[]],[[]],[[[],[]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[],[[]],[[]],[[[],[]]],[[],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[]],[[]],[[[],[[],[]]],[]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[],[[]],[[]],[[[[],[]],[]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[[],[]]],[[]],[[],[]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[]],[[[],[]]],[[[],[]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[],[[]],[[[],[[],[]]]],[[],[]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[],[[]],[[[[],[]],[]]],[[],[]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[],[[]],[[[],[[],[[],[]]]],[]]]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[],[[]],[[[],[[[],[]],[]]],[]]]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[],[[]],[[[[],[]],[[],[]]],[]]]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[],[[]],[[[[],[[],[]]],[]],[]]]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[],[[]],[[[[[],[]],[]],[]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[[],[]]],[[]],[[]],[[],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]]],[[]],[[[],[]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[],[]]],[[[],[]]],[[],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[],[[[],[]]],[[[],[[],[]]],[]]]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[],[[[],[]]],[[[[],[]],[]],[]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[[],[[],[]]]],[[]],[[],[]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[[],[]]]],[[[],[]],[]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[],[[[[],[]],[]]],[[]],[[],[]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[[],[]],[]]],[[[],[]],[]]]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [[],[[[],[[],[[],[]]]]],[[],[]]]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [[],[[[],[[[],[]],[]]]],[[],[]]]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[],[[[[],[]],[[],[]]]],[[],[]]]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[[],[[],[]]],[]]],[[],[]]]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[],[[[[[],[]],[]],[]]],[[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[]],[[]],[[]],[[]],[[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[]],[[]],[[[],[]],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[],[]],[[]],[[[],[]]],[[],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[],[]],[[]],[[[],[[],[]]],[]]]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[],[]],[[]],[[[[],[]],[]],[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[]],[[[],[]]],[[]],[[],[]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[]],[[[],[]]],[[[],[]],[]]]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[],[]],[[[],[[],[]]]],[[],[]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[],[]],[[[[],[]],[]]],[[],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[]],[[]],[[],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[],[[],[]]],[[]],[[[],[]],[]]]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[],[[],[]]],[[[],[]]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[]],[[]],[[],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]],[[]],[[[],[]],[]]]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[[],[]],[]],[[[],[]]],[[],[]]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [[[],[[],[[],[[],[[],[]]]]],[]]]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [[[],[[],[[],[[[],[]],[]]]],[]]]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[],[[[],[]],[[],[]]]],[]]]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [[[],[[],[[[],[[],[]]],[]]],[]]]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [[[],[[],[[[[],[]],[]],[]]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[],[[[],[]],[[],[[],[]]]],[]]]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[],[[[],[]],[[[],[]],[]]],[]]]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[[],[[],[]]],[[],[]]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[],[[[[],[]],[]],[[],[]]],[]]]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [[[],[[[],[[],[[],[]]]],[]],[]]]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [[[],[[[],[[[],[]],[]]],[]],[]]]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[],[[[[],[]],[[],[]]],[]],[]]]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [[[],[[[[],[[],[]]],[]],[]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[],[]],[[],[[],[[],[]]]],[]]]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[],[]],[[],[[[],[]],[]]],[]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[]],[[[],[]],[[],[]]],[]]]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[],[]],[[[],[[],[]]],[]],[]]]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[],[]],[[[[],[]],[]],[]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[],[[],[]]],[[],[[],[]]],[]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[],[[],[]]],[[[],[]],[]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]],[]],[[],[[],[]]],[]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[[],[]],[]],[[[],[]],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[],[[],[[],[]]]],[[],[]],[]]]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[],[[[],[]],[]]],[[],[]],[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[[],[]],[[],[]]],[[],[]],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[[],[[],[]]],[]],[[],[]],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[[[[],[]],[]],[]],[[],[]],[]]]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [[[[],[[],[[],[[],[]]]]],[],[]]]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [[[[],[[],[[[],[]],[]]]],[],[]]]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[],[[[],[]],[[],[]]]],[],[]]]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [[[[],[[[],[[],[]]],[]]],[],[]]]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[],[[[[],[]],[]],[]]],[],[]]]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[],[]],[[],[[],[]]]],[],[]]]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[],[]],[[[],[]],[]]],[],[]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[],[[],[]]],[[],[]]],[],[]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[[[],[]],[]],[[],[]]],[],[]]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [[[[[],[[],[[],[]]]],[]],[],[]]]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[],[[[],[]],[]]],[]],[],[]]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[[],[]],[[],[]]],[]],[],[]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[[],[[],[]]],[]],[]],[],[]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[[[[],[]],[]],[]],[]],[],[]]]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Sends a Dyck path to the ordered tree encoding the heights of the path.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
Properties
bijective, graded
Sage code
def mapping(elt):
    levels = [OrderedTree().clone()]
    for u in elt:
        if u == 1:
            levels.append(OrderedTree().clone())
        else:
            tree = levels.pop()
            tree.set_immutable()
            root = levels.pop()
            root.append(tree)
            levels.append(root)
    root = levels[0]
    root.set_immutable()
    return root
Weight
26
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey