Identifier
Values
[[],[],[]] => [[],[],[]] => [1,0,1,0,1,0] => [2,1] => 1
[[],[[]]] => [[[]],[]] => [1,1,0,0,1,0] => [2] => 1
[[[],[]]] => [[],[[]]] => [1,0,1,1,0,0] => [1,1] => 2
[[],[],[],[]] => [[],[],[],[]] => [1,0,1,0,1,0,1,0] => [3,2,1] => 1
[[],[],[[]]] => [[],[[]],[]] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[[],[[]],[]] => [[[]],[],[]] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[[],[[],[]]] => [[[],[]],[]] => [1,1,0,1,0,0,1,0] => [3,1] => 1
[[],[[[]]]] => [[[[]]],[]] => [1,1,1,0,0,0,1,0] => [3] => 1
[[[]],[],[]] => [[[],[],[]]] => [1,1,0,1,0,1,0,0] => [2,1] => 1
[[[]],[[]]] => [[[[]],[]]] => [1,1,1,0,0,1,0,0] => [2] => 1
[[[],[]],[]] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[[[],[],[]]] => [[],[],[[]]] => [1,0,1,0,1,1,0,0] => [2,2,1] => 2
[[[],[[]]]] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [2,2] => 2
[[[[]],[]]] => [[[],[[]]]] => [1,1,0,1,1,0,0,0] => [1,1] => 2
[[[[],[]]]] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1] => 3
[[],[],[],[],[]] => [[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 1
[[],[],[],[[]]] => [[],[],[[]],[]] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 1
[[],[],[[]],[]] => [[],[[]],[],[]] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 1
[[],[],[[],[]]] => [[],[[],[]],[]] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 1
[[],[],[[[]]]] => [[],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[[],[[]],[],[]] => [[[]],[],[],[]] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 1
[[],[[]],[[]]] => [[[]],[[]],[]] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[[],[[],[]],[]] => [[[],[]],[],[]] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1
[[],[[[]]],[]] => [[[[]]],[],[]] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[[],[[],[],[]]] => [[[],[],[]],[]] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1
[[],[[],[[]]]] => [[[],[[]]],[]] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[[],[[[]],[]]] => [[[[]],[]],[]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[[],[[[],[]]]] => [[[[],[]]],[]] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1
[[],[[[[]]]]] => [[[[[]]]],[]] => [1,1,1,1,0,0,0,0,1,0] => [4] => 1
[[[]],[],[],[]] => [[[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 1
[[[]],[],[[]]] => [[[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[[[]],[[]],[]] => [[[[]],[],[]]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[[[]],[[],[]]] => [[[[],[]],[]]] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1
[[[]],[[[]]]] => [[[[[]]],[]]] => [1,1,1,1,0,0,0,1,0,0] => [3] => 1
[[[],[]],[],[]] => [[],[[],[],[]]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 1
[[[[]]],[],[]] => [[[[],[],[]]]] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1
[[[],[]],[[]]] => [[],[[[]],[]]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[[[[]]],[[]]] => [[[[[]],[]]]] => [1,1,1,1,0,0,1,0,0,0] => [2] => 1
[[[],[],[]],[]] => [[],[],[[],[]]] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 1
[[[],[[]]],[]] => [[[]],[[],[]]] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[[[[]],[]],[]] => [[[],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[[[[],[]]],[]] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[[[],[],[],[]]] => [[],[],[],[[]]] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[[[],[],[[]]]] => [[],[[]],[[]]] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 2
[[[],[[]],[]]] => [[[]],[],[[]]] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 2
[[[],[[],[]]]] => [[[],[]],[[]]] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 2
[[[],[[[]]]]] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 2
[[[[]],[],[]]] => [[[],[],[[]]]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 2
[[[[]],[[]]]] => [[[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 2
[[[[],[]],[]]] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 2
[[[[[]]],[]]] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 2
[[[[],[],[]]]] => [[],[],[[[]]]] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 3
[[[[],[[]]]]] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 3
[[[[[]],[]]]] => [[[],[[[]]]]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 3
[[[[[],[]]]]] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 4
[[],[],[],[[[]]]] => [[],[],[[[]]],[]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 1
[[],[],[[[]]],[]] => [[],[[[]]],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 1
[[],[],[[],[],[]]] => [[],[[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 1
[[],[],[[],[[]]]] => [[],[[],[[]]],[]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 1
[[],[],[[[]],[]]] => [[],[[[]],[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 1
[[],[],[[[],[]]]] => [[],[[[],[]]],[]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 1
[[],[],[[[[]]]]] => [[],[[[[]]]],[]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[[],[[]],[[],[]]] => [[[]],[[],[]],[]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 1
[[],[[]],[[[]]]] => [[[]],[[[]]],[]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[[],[[[]]],[],[]] => [[[[]]],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 1
[[],[[],[]],[[]]] => [[[],[]],[[]],[]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 1
[[],[[[]]],[[]]] => [[[[]]],[[]],[]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[[],[[],[],[]],[]] => [[[],[],[]],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 1
[[],[[],[[]]],[]] => [[[],[[]]],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 1
[[],[[[]],[]],[]] => [[[[]],[]],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 1
[[],[[[],[]]],[]] => [[[[],[]]],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 1
[[],[[[[]]]],[]] => [[[[[]]]],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[[],[[],[],[],[]]] => [[[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 1
[[],[[],[],[[]]]] => [[[],[],[[]]],[]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 1
[[],[[],[[]],[]]] => [[[],[[]],[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 1
[[],[[],[[],[]]]] => [[[],[[],[]]],[]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 1
[[],[[],[[[]]]]] => [[[],[[[]]]],[]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[[],[[[]],[],[]]] => [[[[]],[],[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 1
[[],[[[]],[[]]]] => [[[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[[],[[[],[]],[]]] => [[[[],[]],[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 1
[[],[[[[]]],[]]] => [[[[[]]],[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[[],[[[],[],[]]]] => [[[[],[],[]]],[]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 1
[[],[[[],[[]]]]] => [[[[],[[]]]],[]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[[],[[[[]],[]]]] => [[[[[]],[]]],[]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[[],[[[[],[]]]]] => [[[[[],[]]]],[]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[[],[[[[[]]]]]] => [[[[[[]]]]],[]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 1
[[[]],[],[],[],[]] => [[[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 1
[[[]],[],[],[[]]] => [[[],[],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 1
[[[]],[],[[]],[]] => [[[],[[]],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 1
[[[]],[],[[],[]]] => [[[],[[],[]],[]]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 1
[[[]],[],[[[]]]] => [[[],[[[]]],[]]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[[[]],[[]],[],[]] => [[[[]],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 1
[[[]],[[]],[[]]] => [[[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[[[]],[[],[]],[]] => [[[[],[]],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1
[[[]],[[[]]],[]] => [[[[[]]],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[[[]],[[],[],[]]] => [[[[],[],[]],[]]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1
[[[]],[[],[[]]]] => [[[[],[[]]],[]]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[[[]],[[[]],[]]] => [[[[[]],[]],[]]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[[[]],[[[],[]]]] => [[[[[],[]]],[]]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[[[]],[[[[]]]]] => [[[[[[]]]],[]]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 1
[[[],[]],[],[],[]] => [[],[[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 1
>>> Load all 565 entries. <<<
[[[[]]],[],[],[]] => [[[[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 1
[[[],[]],[],[[]]] => [[],[[],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 1
[[[[]]],[],[[]]] => [[[[],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[[[],[]],[[]],[]] => [[],[[[]],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 1
[[[[]]],[[]],[]] => [[[[[]],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[[[],[]],[[],[]]] => [[],[[[],[]],[]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 1
[[[],[]],[[[]]]] => [[],[[[[]]],[]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[[[[]]],[[],[]]] => [[[[[],[]],[]]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[[[[]]],[[[]]]] => [[[[[[]]],[]]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1
[[[],[],[]],[],[]] => [[],[],[[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 1
[[[],[[]]],[],[]] => [[[]],[[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 1
[[[[]],[]],[],[]] => [[[],[[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 1
[[[[],[]]],[],[]] => [[],[[[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 1
[[[[[]]]],[],[]] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[[[],[],[]],[[]]] => [[],[],[[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 1
[[[],[[]]],[[]]] => [[[]],[[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[[[[]],[]],[[]]] => [[[],[[[]],[]]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[[[[],[]]],[[]]] => [[],[[[[]],[]]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[[[[[]]]],[[]]] => [[[[[[]],[]]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 1
[[[],[],[[]]],[]] => [[],[[]],[[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 1
[[[],[[]],[]],[]] => [[[]],[],[[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 1
[[[],[[],[]]],[]] => [[[],[]],[[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 1
[[[],[[[]]]],[]] => [[[[]]],[[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[[[[]],[],[]],[]] => [[[],[],[[],[]]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 1
[[[[]],[[]]],[]] => [[[[]],[[],[]]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[[[[],[]],[]],[]] => [[],[[],[[],[]]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 1
[[[[[]]],[]],[]] => [[[[],[[],[]]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[[[[],[],[]]],[]] => [[],[],[[[],[]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 1
[[[[],[[]]]],[]] => [[[]],[[[],[]]]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[[[[[]],[]]],[]] => [[[],[[[],[]]]]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[[[[[],[]]]],[]] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[[[],[],[[],[]]]] => [[],[[],[]],[[]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[[[],[],[[[]]]]] => [[],[[[]]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 2
[[[],[[]],[[]]]] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 2
[[[],[[],[]],[]]] => [[[],[]],[],[[]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[[[],[[[]]],[]]] => [[[[]]],[],[[]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 2
[[[],[[],[],[]]]] => [[[],[],[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[[[],[[],[[]]]]] => [[[],[[]]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 2
[[[],[[[]],[]]]] => [[[[]],[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 2
[[[],[[[],[]]]]] => [[[[],[]]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 2
[[[],[[[[]]]]]] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 2
[[[[]],[],[],[]]] => [[[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[[[[]],[],[[]]]] => [[[],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 2
[[[[]],[[]],[]]] => [[[[]],[],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 2
[[[[]],[[],[]]]] => [[[[],[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 2
[[[[]],[[[]]]]] => [[[[[]]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 2
[[[[],[]],[],[]]] => [[],[[],[],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[[[[[]]],[],[]]] => [[[[],[],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 2
[[[[],[]],[[]]]] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 2
[[[[[]]],[[]]]] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 2
[[[[],[],[]],[]]] => [[],[],[[],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[[[[],[[]]],[]]] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 2
[[[[[]],[]],[]]] => [[[],[[],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 2
[[[[[],[]]],[]]] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 2
[[[[[[]]]],[]]] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 2
[[[[],[],[],[]]]] => [[],[],[],[[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 3
[[[[],[],[[]]]]] => [[],[[]],[[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 3
[[[[],[[]],[]]]] => [[[]],[],[[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 3
[[[[],[[],[]]]]] => [[[],[]],[[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 3
[[[[],[[[]]]]]] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 3
[[[[[]],[],[]]]] => [[[],[],[[[]]]]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 3
[[[[[]],[[]]]]] => [[[[]],[[[]]]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 3
[[[[[],[]],[]]]] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 3
[[[[[[]]],[]]]] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 3
[[[[[],[],[]]]]] => [[],[],[[[[]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 4
[[[[[],[[]]]]]] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 4
[[[[[[]],[]]]]] => [[[],[[[[]]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 4
[[[[[[],[]]]]]] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 5
[[],[],[[[[],[]]]]] => [[],[[[[],[]]]],[]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,1,1,1] => 1
[[],[],[[[[[]]]]]] => [[],[[[[[]]]]],[]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1,1,1] => 1
[[],[[[[],[]]]],[]] => [[[[[],[]]]],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [6,5,1] => 1
[[],[[[[[]]]]],[]] => [[[[[[]]]]],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,5] => 1
[[],[[],[[],[[]]]]] => [[[],[[],[[]]]],[]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [6,2,2,1,1] => 1
[[],[[],[[[]],[]]]] => [[[],[[[]],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,1,1] => 1
[[],[[],[[[],[]]]]] => [[[],[[[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,1,1] => 1
[[],[[],[[[[]]]]]] => [[[],[[[[]]]]],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1,1] => 1
[[],[[[]],[[[]]]]] => [[[[]],[[[]]]],[]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [6,2,2,2] => 1
[[],[[[[]]],[[]]]] => [[[[[]]],[[]]],[]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,3,3] => 1
[[],[[[],[[]]],[]]] => [[[[],[[]]],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [6,4,1,1] => 1
[[],[[[[]],[]],[]]] => [[[[[]],[]],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,4,2] => 1
[[],[[[[],[]]],[]]] => [[[[[],[]]],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,4,1] => 1
[[],[[[[[]]]],[]]] => [[[[[[]]]],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,4] => 1
[[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1] => 1
[[],[[[],[],[[]]]]] => [[[[],[],[[]]]],[]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,2,2,1] => 1
[[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,3,1,1] => 1
[[],[[[],[[],[]]]]] => [[[[],[[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,1,1] => 1
[[],[[[],[[[]]]]]] => [[[[],[[[]]]]],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1] => 1
[[],[[[[]],[],[]]]] => [[[[[]],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,3,2] => 1
[[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,2,2] => 1
[[],[[[[],[]],[]]]] => [[[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,1] => 1
[[],[[[[[]]],[]]]] => [[[[[[]]],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,3] => 1
[[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,2,1] => 1
[[],[[[[],[[]]]]]] => [[[[[],[[]]]]],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1,1] => 1
[[],[[[[[]],[]]]]] => [[[[[[]],[]]]],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,2] => 1
[[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1] => 1
[[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6] => 1
[[[]],[],[],[[[]]]] => [[[],[],[[[]]],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [5,2,2,2,1] => 1
[[[]],[],[[[]]],[]] => [[[],[[[]]],[],[]]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1,1] => 1
[[[]],[],[[],[],[]]] => [[[],[[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,1] => 1
[[[]],[],[[],[[]]]] => [[[],[[],[[]]],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1,1] => 1
[[[]],[],[[[]],[]]] => [[[],[[[]],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1,1] => 1
[[[]],[],[[[],[]]]] => [[[],[[[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1,1] => 1
[[[]],[],[[[[]]]]] => [[[],[[[[]]]],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1,1] => 1
[[[]],[[]],[[],[]]] => [[[[]],[[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [5,3,2,2] => 1
[[[]],[[]],[[[]]]] => [[[[]],[[[]]],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [5,2,2,2] => 1
[[[]],[[[]]],[],[]] => [[[[[]]],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [5,4,3] => 1
[[[]],[[],[]],[[]]] => [[[[],[]],[[]],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [5,3,3,1] => 1
[[[]],[[[]]],[[]]] => [[[[[]]],[[]],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [5,3,3] => 1
[[[]],[[],[],[]],[]] => [[[[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1] => 1
[[[]],[[],[[]]],[]] => [[[[],[[]]],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1] => 1
[[[]],[[[]],[]],[]] => [[[[[]],[]],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,4,2] => 1
[[[]],[[[],[]]],[]] => [[[[[],[]]],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,4,1] => 1
[[[]],[[[[]]]],[]] => [[[[[[]]]],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4] => 1
[[[]],[[],[],[],[]]] => [[[[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1] => 1
[[[]],[[],[],[[]]]] => [[[[],[],[[]]],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1] => 1
[[[]],[[],[[]],[]]] => [[[[],[[]],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1] => 1
[[[]],[[],[[],[]]]] => [[[[],[[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1] => 1
[[[]],[[],[[[]]]]] => [[[[],[[[]]]],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1] => 1
[[[]],[[[]],[],[]]] => [[[[[]],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [5,3,2] => 1
[[[]],[[[]],[[]]]] => [[[[[]],[[]]],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [5,2,2] => 1
[[[]],[[[],[]],[]]] => [[[[[],[]],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,3,1] => 1
[[[]],[[[[]]],[]]] => [[[[[[]]],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,3] => 1
[[[]],[[[],[],[]]]] => [[[[[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,2,1] => 1
[[[]],[[[],[[]]]]] => [[[[[],[[]]]],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,1] => 1
[[[]],[[[[]],[]]]] => [[[[[[]],[]]],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,2] => 1
[[[]],[[[[],[]]]]] => [[[[[[],[]]]],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1] => 1
[[[]],[[[[[]]]]]] => [[[[[[[]]]]],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [5] => 1
[[[[]]],[],[],[],[]] => [[[[],[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => 1
[[[[]]],[],[],[[]]] => [[[[],[],[[]],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1] => 1
[[[[]]],[],[[]],[]] => [[[[],[[]],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1] => 1
[[[[]]],[],[[],[]]] => [[[[],[[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1] => 1
[[[[]]],[],[[[]]]] => [[[[],[[[]]],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1] => 1
[[[[]]],[[]],[],[]] => [[[[[]],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,3,2] => 1
[[[[]]],[[]],[[]]] => [[[[[]],[[]],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,2] => 1
[[[[]]],[[],[]],[]] => [[[[[],[]],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,3,1] => 1
[[[[]]],[[[]]],[]] => [[[[[[]]],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [4,3] => 1
[[[],[]],[[],[[]]]] => [[],[[[],[[]]],[]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1,1,1] => 1
[[[],[]],[[[]],[]]] => [[],[[[[]],[]],[]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1,1,1] => 1
[[[],[]],[[[],[]]]] => [[],[[[[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1,1,1] => 1
[[[],[]],[[[[]]]]] => [[],[[[[[]]]],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1,1,1] => 1
[[[[]]],[[],[],[]]] => [[[[[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,2,1] => 1
[[[[]]],[[],[[]]]] => [[[[[],[[]]],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,1,1] => 1
[[[[]]],[[[]],[]]] => [[[[[[]],[]],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [4,2] => 1
[[[[]]],[[[],[]]]] => [[[[[[],[]]],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [4,1] => 1
[[[[]]],[[[[]]]]] => [[[[[[[]]]],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [4] => 1
[[[[]],[]],[],[],[]] => [[[],[[],[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,1] => 1
[[[[],[]]],[],[],[]] => [[],[[[],[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,1,1] => 1
[[[[[]]]],[],[],[]] => [[[[[],[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => 1
[[[[]],[]],[],[[]]] => [[[],[[],[[]],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1,1] => 1
[[[[],[]]],[],[[]]] => [[],[[[],[[]],[]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1,1,1] => 1
[[[[[]]]],[],[[]]] => [[[[[],[[]],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [3,1,1] => 1
[[[[]],[]],[[]],[]] => [[[],[[[]],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1,1] => 1
[[[[],[]]],[[]],[]] => [[],[[[[]],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1,1,1] => 1
[[[[[]]]],[[]],[]] => [[[[[[]],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [3,2] => 1
[[[[]],[]],[[],[]]] => [[[],[[[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1] => 1
[[[[]],[]],[[[]]]] => [[[],[[[[]]],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1] => 1
[[[[],[]]],[[],[]]] => [[],[[[[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1,1] => 1
[[[[],[]]],[[[]]]] => [[],[[[[[]]],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1,1] => 1
[[[[[]]]],[[],[]]] => [[[[[[],[]],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [3,1] => 1
[[[[[]]]],[[[]]]] => [[[[[[[]]],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [3] => 1
[[[[]],[],[]],[],[]] => [[[],[],[[],[],[]]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,2,1] => 1
[[[[]],[[]]],[],[]] => [[[[]],[[],[],[]]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [4,3,2,2] => 1
[[[[[]]],[]],[],[]] => [[[[],[[],[],[]]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] => 1
[[[[[]],[]]],[],[]] => [[[],[[[],[],[]]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1] => 1
[[[[[],[]]]],[],[]] => [[],[[[[],[],[]]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1] => 1
[[[[[[]]]]],[],[]] => [[[[[[],[],[]]]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,1] => 1
[[[[]],[],[]],[[]]] => [[[],[],[[[]],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2,1] => 1
[[[[]],[[]]],[[]]] => [[[[]],[[[]],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2] => 1
[[[[],[]],[]],[[]]] => [[],[[],[[[]],[]]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2,1,1] => 1
[[[[[]]],[]],[[]]] => [[[[],[[[]],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1] => 1
[[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [4,2,2,2,2] => 1
[[[[[]],[]]],[[]]] => [[[],[[[[]],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1] => 1
[[[[[],[]]]],[[]]] => [[],[[[[[]],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1,1] => 1
[[[[[[]]]]],[[]]] => [[[[[[[]],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2] => 1
[[[[]],[],[[]]],[]] => [[[],[[]],[[],[]]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1,1] => 1
[[[[]],[[]],[]],[]] => [[[[]],[],[[],[]]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [4,3,3,2] => 1
[[[[]],[[],[]]],[]] => [[[[],[]],[[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1] => 1
[[[[]],[[[]]]],[]] => [[[[[]]],[[],[]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,3] => 1
[[[[[]]],[],[]],[]] => [[[[],[],[[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => 1
[[[[[]]],[[]]],[]] => [[[[[]],[[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2] => 1
[[[[[]],[]],[]],[]] => [[[],[[],[[],[]]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1] => 1
[[[[[],[]]],[]],[]] => [[],[[[],[[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1,1] => 1
[[[[[[]]]],[]],[]] => [[[[[],[[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,1] => 1
[[[[[]],[],[]]],[]] => [[[],[],[[[],[]]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2,1] => 1
[[[[[]],[[]]]],[]] => [[[[]],[[[],[]]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2] => 1
[[[[[],[]],[]]],[]] => [[],[[],[[[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2,1,1] => 1
[[[[[[]]],[]]],[]] => [[[[],[[[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1] => 1
[[[[[],[],[]]]],[]] => [[],[],[[[[],[]]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,2,2,2,1] => 1
[[[[[],[[]]]]],[]] => [[[]],[[[[],[]]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,2,2,2,2] => 1
[[[[[[]],[]]]],[]] => [[[],[[[[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1] => 1
[[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1,1] => 1
[[[],[[[],[[]]]]]] => [[[[],[[]]]],[[]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,5,1,1] => 2
[[[],[[[[]],[]]]]] => [[[[[]],[]]],[[]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,5,2] => 2
[[[],[[[[],[]]]]]] => [[[[[],[]]]],[[]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,5,1] => 2
[[[],[[[[[]]]]]]] => [[[[[[]]]]],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,5] => 2
[[[[]],[],[[],[]]]] => [[[],[[],[]],[[]]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [4,4,2,1,1] => 2
[[[[]],[],[[[]]]]] => [[[],[[[]]],[[]]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1,1] => 2
[[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [4,4,2,2] => 2
[[[[]],[[],[]],[]]] => [[[[],[]],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,4,3,1] => 2
[[[[]],[[[]]],[]]] => [[[[[]]],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,4,3] => 2
[[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,4,2,1] => 2
[[[[]],[[],[[]]]]] => [[[[],[[]]],[[]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1] => 2
[[[[]],[[[]],[]]]] => [[[[[]],[]],[[]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,4,2] => 2
[[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,4,1] => 2
[[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [4,4] => 2
[[[[[]]],[],[],[]]] => [[[[],[],[],[[]]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1] => 2
[[[[[]]],[],[[]]]] => [[[[],[[]],[[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1] => 2
[[[[[]]],[[]],[]]] => [[[[[]],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,3,2] => 2
[[[[],[]],[[[]]]]] => [[],[[[[]]],[[]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1,1,1] => 2
[[[[[]]],[[],[]]]] => [[[[[],[]],[[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [3,3,1] => 2
[[[[[]]],[[[]]]]] => [[[[[[]]],[[]]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3] => 2
[[[[[]],[]],[],[]]] => [[[],[[],[],[[]]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1] => 2
[[[[[],[]]],[],[]]] => [[],[[[],[],[[]]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1,1] => 2
[[[[[[]]]],[],[]]] => [[[[[],[],[[]]]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,2,1] => 2
[[[[[]],[]],[[]]]] => [[[],[[[]],[[]]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1] => 2
[[[[[],[]]],[[]]]] => [[],[[[[]],[[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1,1] => 2
[[[[[[]]]],[[]]]] => [[[[[[]],[[]]]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,2] => 2
[[[[[]],[],[]],[]]] => [[[],[],[[],[[]]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1] => 2
[[[[[]],[[]]],[]]] => [[[[]],[[],[[]]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2] => 2
[[[[[],[]],[]],[]]] => [[],[[],[[],[[]]]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1,1] => 2
[[[[[[]]],[]],[]]] => [[[[],[[],[[]]]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1] => 2
[[[[[],[[]]]],[]]] => [[[]],[[[],[[]]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2,2,2] => 2
[[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1] => 2
[[[[[[],[]]]],[]]] => [[],[[[[],[[]]]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1,1] => 2
[[[[[[[]]]]],[]]] => [[[[[[],[[]]]]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1] => 2
[[[[],[[[[]]]]]]] => [[[[[]]]],[[[]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,4,4] => 3
[[[[[]],[],[],[]]]] => [[[],[],[],[[[]]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2,1] => 3
[[[[[]],[],[[]]]]] => [[[],[[]],[[[]]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1,1] => 3
[[[[[]],[[]],[]]]] => [[[[]],[],[[[]]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2] => 3
[[[[[]],[[],[]]]]] => [[[[],[]],[[[]]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1] => 3
[[[[[]],[[[]]]]]] => [[[[[]]],[[[]]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [3,3,3] => 3
[[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1] => 3
[[[[[],[]],[[]]]]] => [[],[[[]],[[[]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1,1,1] => 3
[[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,2,2] => 3
[[[[[[]],[]],[]]]] => [[[],[[],[[[]]]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1] => 3
[[[[[[],[]]],[]]]] => [[],[[[],[[[]]]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1,1] => 3
[[[[[[[]]]],[]]]] => [[[[[],[[[]]]]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => 3
[[[[[],[[[]]]]]]] => [[[[]]],[[[[]]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,3,3] => 4
[[[[[[]],[],[]]]]] => [[[],[],[[[[]]]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1] => 4
[[[[[[]],[[]]]]]] => [[[[]],[[[[]]]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2] => 4
[[[[[[],[]],[]]]]] => [[],[[],[[[[]]]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1,1] => 4
[[[[[[[]]],[]]]]] => [[[[],[[[[]]]]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => 4
[[[[[[],[],[]]]]]] => [[],[],[[[[[]]]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,2,2,2,2,1] => 5
[[[[[[],[[]]]]]]] => [[[]],[[[[[]]]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,2,2,2] => 5
[[[[[[[]],[]]]]]] => [[[],[[[[[]]]]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => 5
[[[[[[[],[]]]]]]] => [[],[[[[[[]]]]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1] => 6
[[],[[],[[[[[]]]]]]] => [[[],[[[[[]]]]]],[]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,1,1,1,1] => 1
[[],[[[[[[]]]]],[]]] => [[[[[[[]]]]],[]],[]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,5] => 1
[[],[[[],[[[],[]]]]]] => [[[[],[[[],[]]]]],[]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,1,1] => 1
[[],[[[],[[[[]]]]]]] => [[[[],[[[[]]]]]],[]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,1,1,1] => 1
[[],[[[[[],[]]],[]]]] => [[[[[[],[]]],[]]],[]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,4,1] => 1
[[],[[[[[[]]]],[]]]] => [[[[[[[]]]],[]]],[]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,4] => 1
[[],[[[[],[],[[]]]]]] => [[[[[],[],[[]]]]],[]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,2,2,1] => 1
[[],[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]],[]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,1] => 1
[[],[[[[],[[],[]]]]]] => [[[[[],[[],[]]]]],[]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,1] => 1
[[],[[[[],[[[]]]]]]] => [[[[[],[[[]]]]]],[]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,1,1,1] => 1
[[],[[[[[]],[],[]]]]] => [[[[[[]],[],[]]]],[]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [7,3,2] => 1
[[],[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]],[]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,2,2] => 1
[[],[[[[[],[]],[]]]]] => [[[[[[],[]],[]]]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [7,3,1] => 1
[[],[[[[[[]]],[]]]]] => [[[[[[[]]],[]]]],[]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,3] => 1
[[],[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]],[]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,2,1] => 1
[[],[[[[[],[[]]]]]]] => [[[[[[],[[]]]]]],[]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,1,1] => 1
[[],[[[[[[]],[]]]]]] => [[[[[[[]],[]]]]],[]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,2] => 1
[[],[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]],[]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1] => 1
[[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7] => 1
[[[]],[],[[[[],[]]]]] => [[[],[[[[],[]]]],[]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,1,1,1] => 1
[[[]],[],[[[[[]]]]]] => [[[],[[[[[]]]]],[]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1,1,1] => 1
[[[]],[[[[],[]]]],[]] => [[[[[[],[]]]],[],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [6,5,1] => 1
[[[]],[[[[[]]]]],[]] => [[[[[[[]]]]],[],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,5] => 1
[[[]],[[],[[],[[]]]]] => [[[[],[[],[[]]]],[]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [6,2,2,1,1] => 1
[[[]],[[],[[[]],[]]]] => [[[[],[[[]],[]]],[]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [6,3,1,1,1] => 1
[[[]],[[],[[[],[]]]]] => [[[[],[[[],[]]]],[]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,1,1] => 1
[[[]],[[],[[[[]]]]]] => [[[[],[[[[]]]]],[]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1,1] => 1
[[[]],[[[]],[[[]]]]] => [[[[[]],[[[]]]],[]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [6,2,2,2] => 1
[[[]],[[[[]]],[[]]]] => [[[[[[]]],[[]]],[]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [6,3,3] => 1
[[[]],[[[],[[]]],[]]] => [[[[[],[[]]],[]],[]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [6,4,1,1] => 1
[[[]],[[[[]],[]],[]]] => [[[[[[]],[]],[]],[]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [6,4,2] => 1
[[[]],[[[[],[]]],[]]] => [[[[[[],[]]],[]],[]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [6,4,1] => 1
[[[]],[[[[[]]]],[]]] => [[[[[[[]]]],[]],[]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,4] => 1
[[[]],[[[],[],[],[]]]] => [[[[[],[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [6,3,2,1] => 1
[[[]],[[[],[],[[]]]]] => [[[[[],[],[[]]]],[]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [6,2,2,1] => 1
[[[]],[[[],[[]],[]]]] => [[[[[],[[]],[]]],[]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [6,3,1,1] => 1
[[[]],[[[],[[],[]]]]] => [[[[[],[[],[]]]],[]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,1] => 1
[[[]],[[[],[[[]]]]]] => [[[[[],[[[]]]]],[]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1] => 1
[[[]],[[[[]],[],[]]]] => [[[[[[]],[],[]]],[]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [6,3,2] => 1
[[[]],[[[[]],[[]]]]] => [[[[[[]],[[]]]],[]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [6,2,2] => 1
[[[]],[[[[],[]],[]]]] => [[[[[[],[]],[]]],[]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [6,3,1] => 1
[[[]],[[[[[]]],[]]]] => [[[[[[[]]],[]]],[]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,3] => 1
[[[]],[[[[],[],[]]]]] => [[[[[[],[],[]]]],[]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [6,2,1] => 1
[[[]],[[[[],[[]]]]]] => [[[[[[],[[]]]]],[]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [6,1,1] => 1
[[[]],[[[[[]],[]]]]] => [[[[[[[]],[]]]],[]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,2] => 1
[[[]],[[[[[],[]]]]]] => [[[[[[[],[]]]]],[]]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1] => 1
[[[]],[[[[[[]]]]]]] => [[[[[[[[]]]]]],[]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [6] => 1
[[[[]]],[],[],[[[]]]] => [[[[],[],[[[]]],[]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [5,2,2,2,1] => 1
[[[[]]],[],[[[]]],[]] => [[[[],[[[]]],[],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1,1] => 1
[[[[]]],[],[[],[],[]]] => [[[[],[[],[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1,1] => 1
[[[[]]],[],[[],[[]]]] => [[[[],[[],[[]]],[]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1,1] => 1
[[[[]]],[],[[[]],[]]] => [[[[],[[[]],[]],[]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1,1] => 1
[[[[]]],[],[[[],[]]]] => [[[[],[[[],[]]],[]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1,1] => 1
[[[[]]],[],[[[[]]]]] => [[[[],[[[[]]]],[]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1] => 1
[[[[]]],[[]],[[],[]]] => [[[[[]],[[],[]],[]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,2] => 1
[[[[]]],[[]],[[[]]]] => [[[[[]],[[[]]],[]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [5,2,2,2] => 1
[[[[]]],[[[]]],[],[]] => [[[[[[]]],[],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,4,3] => 1
[[[[]]],[[],[]],[[]]] => [[[[[],[]],[[]],[]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [5,3,3,1] => 1
[[[[]]],[[[]]],[[]]] => [[[[[[]]],[[]],[]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,3,3] => 1
[[[[]]],[[],[],[]],[]] => [[[[[],[],[]],[],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1] => 1
[[[[]]],[[],[[]]],[]] => [[[[[],[[]]],[],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1] => 1
[[[[]]],[[[]],[]],[]] => [[[[[[]],[]],[],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [5,4,2] => 1
[[[[]]],[[[],[]]],[]] => [[[[[[],[]]],[],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,4,1] => 1
[[[[]]],[[[[]]]],[]] => [[[[[[[]]]],[],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [5,4] => 1
[[[],[]],[[[[[]]]]]] => [[],[[[[[[]]]]],[]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1,1,1,1] => 1
[[[[]]],[[],[],[],[]]] => [[[[[],[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1] => 1
[[[[]]],[[],[],[[]]]] => [[[[[],[],[[]]],[]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1] => 1
[[[[]]],[[],[[]],[]]] => [[[[[],[[]],[]],[]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1] => 1
[[[[]]],[[],[[],[]]]] => [[[[[],[[],[]]],[]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1] => 1
[[[[]]],[[],[[[]]]]] => [[[[[],[[[]]]],[]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1] => 1
[[[[]]],[[[]],[],[]]] => [[[[[[]],[],[]],[]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,3,2] => 1
[[[[]]],[[[]],[[]]]] => [[[[[[]],[[]]],[]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,2] => 1
[[[[]]],[[[],[]],[]]] => [[[[[[],[]],[]],[]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,3,1] => 1
[[[[]]],[[[[]]],[]]] => [[[[[[[]]],[]],[]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [5,3] => 1
[[[[]]],[[[],[],[]]]] => [[[[[[],[],[]]],[]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,2,1] => 1
[[[[]]],[[[],[[]]]]] => [[[[[[],[[]]]],[]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,1,1] => 1
[[[[]]],[[[[]],[]]]] => [[[[[[[]],[]]],[]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [5,2] => 1
[[[[]]],[[[[],[]]]]] => [[[[[[[],[]]]],[]]]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [5,1] => 1
[[[[]]],[[[[[]]]]]] => [[[[[[[[]]]]],[]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [5] => 1
[[[[[]]]],[],[],[],[]] => [[[[[],[],[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1] => 1
[[[[[]]]],[],[],[[]]] => [[[[[],[],[[]],[]]]]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1] => 1
[[[[[]]]],[],[[]],[]] => [[[[[],[[]],[],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1] => 1
[[[[[]]]],[],[[],[]]] => [[[[[],[[],[]],[]]]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1] => 1
[[[[[]]]],[],[[[]]]] => [[[[[],[[[]]],[]]]]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1] => 1
[[[[[]]]],[[]],[],[]] => [[[[[[]],[],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [4,3,2] => 1
[[[[[]]]],[[]],[[]]] => [[[[[[]],[[]],[]]]]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [4,2,2] => 1
[[[[[]]]],[[],[]],[]] => [[[[[[],[]],[],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [4,3,1] => 1
[[[[[]]]],[[[]]],[]] => [[[[[[[]]],[],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [4,3] => 1
[[[[]],[]],[[],[[]]]] => [[[],[[[],[[]]],[]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1,1,1] => 1
[[[[]],[]],[[[]],[]]] => [[[],[[[[]],[]],[]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1,1,1] => 1
[[[[]],[]],[[[],[]]]] => [[[],[[[[],[]]],[]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1,1,1] => 1
[[[[]],[]],[[[[]]]]] => [[[],[[[[[]]]],[]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1,1] => 1
[[[[],[]]],[[[],[]]]] => [[],[[[[[],[]]],[]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1,1,1,1] => 1
[[[[],[]]],[[[[]]]]] => [[],[[[[[[]]]],[]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1,1,1] => 1
[[[[[]]]],[[],[],[]]] => [[[[[[],[],[]],[]]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [4,2,1] => 1
[[[[[]]]],[[],[[]]]] => [[[[[[],[[]]],[]]]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [4,1,1] => 1
[[[[[]]]],[[[]],[]]] => [[[[[[[]],[]],[]]]]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [4,2] => 1
[[[[[]]]],[[[],[]]]] => [[[[[[[],[]]],[]]]]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [4,1] => 1
[[[[[]]]],[[[[]]]]] => [[[[[[[[]]]],[]]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4] => 1
[[[[[]]],[]],[],[],[]] => [[[[],[[],[],[],[]]]]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,1] => 1
[[[[[]],[]]],[],[],[]] => [[[],[[[],[],[],[]]]]] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,1,1] => 1
[[[[[[]]]]],[],[],[]] => [[[[[[],[],[],[]]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => 1
[[[[[]]],[]],[],[[]]] => [[[[],[[],[[]],[]]]]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1,1] => 1
[[[[[]],[]]],[],[[]]] => [[[],[[[],[[]],[]]]]] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1,1,1] => 1
[[[[[],[]]]],[],[[]]] => [[],[[[[],[[]],[]]]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1,1,1,1] => 1
[[[[[[]]]]],[],[[]]] => [[[[[[],[[]],[]]]]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [3,1,1] => 1
[[[[[]]],[]],[[]],[]] => [[[[],[[[]],[],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1,1] => 1
[[[[[]],[]]],[[]],[]] => [[[],[[[[]],[],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1,1,1] => 1
[[[[[],[]]]],[[]],[]] => [[],[[[[[]],[],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1,1,1,1] => 1
[[[[[[]]]]],[[]],[]] => [[[[[[[]],[],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [3,2] => 1
[[[[[]]],[]],[[],[]]] => [[[[],[[[],[]],[]]]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1] => 1
[[[[[]]],[]],[[[]]]] => [[[[],[[[[]]],[]]]]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1] => 1
[[[[[]],[]]],[[],[]]] => [[[],[[[[],[]],[]]]]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1,1] => 1
[[[[[]],[]]],[[[]]]] => [[[],[[[[[]]],[]]]]] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1,1] => 1
[[[[[],[]]]],[[],[]]] => [[],[[[[[],[]],[]]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1,1,1] => 1
[[[[[],[]]]],[[[]]]] => [[],[[[[[[]]],[]]]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1,1,1] => 1
[[[[[[]]]]],[[],[]]] => [[[[[[[],[]],[]]]]]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [3,1] => 1
[[[[[[]]]]],[[[]]]] => [[[[[[[[]]],[]]]]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3] => 1
[[[[[]]],[],[]],[],[]] => [[[[],[],[[],[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2,1] => 1
[[[[[]]],[[]]],[],[]] => [[[[[]],[[],[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2] => 1
[[[[[[]]]],[]],[],[]] => [[[[[],[[],[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1] => 1
[[[[[[]]],[]]],[],[]] => [[[[],[[[],[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1] => 1
[[[[[[]],[]]]],[],[]] => [[[],[[[[],[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1] => 1
[[[[[[],[]]]]],[],[]] => [[],[[[[[],[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1,1] => 1
[[[[[[[]]]]]],[],[]] => [[[[[[[],[],[]]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,1] => 1
[[[[[]]],[],[]],[[]]] => [[[[],[],[[[]],[]]]]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2,1] => 1
[[[[[]]],[[]]],[[]]] => [[[[[]],[[[]],[]]]]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2] => 1
[[[[[]],[]],[]],[[]]] => [[[],[[],[[[]],[]]]]] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2,1,1] => 1
[[[[[[]]]],[]],[[]]] => [[[[[],[[[]],[]]]]]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1] => 1
[[[[[]],[[]]]],[[]]] => [[[[]],[[[[]],[]]]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2,2] => 1
[[[[[[]]],[]]],[[]]] => [[[[],[[[[]],[]]]]]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1] => 1
[[[[[[]],[]]]],[[]]] => [[[],[[[[[]],[]]]]]] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1] => 1
[[[[[[],[]]]]],[[]]] => [[],[[[[[[]],[]]]]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1,1] => 1
[[[[[[[]]]]]],[[]]] => [[[[[[[[]],[]]]]]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2] => 1
[[[[[]]],[],[[]]],[]] => [[[[],[[]],[[],[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1,1] => 1
[[[[[]]],[[]],[]],[]] => [[[[[]],[],[[],[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,3,3,2] => 1
[[[[[]]],[[],[]]],[]] => [[[[[],[]],[[],[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1] => 1
[[[[[]]],[[[]]]],[]] => [[[[[[]]],[[],[]]]]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [4,3,3] => 1
[[[[[[]]]],[],[]],[]] => [[[[[],[],[[],[]]]]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1] => 1
[[[[[[]]]],[[]]],[]] => [[[[[[]],[[],[]]]]]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [3,2,2] => 1
[[[[[[]]],[]],[]],[]] => [[[[],[[],[[],[]]]]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1] => 1
[[[[[[]],[]]],[]],[]] => [[[],[[[],[[],[]]]]]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1,1] => 1
[[[[[[],[]]]],[]],[]] => [[],[[[[],[[],[]]]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1,1,1] => 1
[[[[[[[]]]]],[]],[]] => [[[[[[],[[],[]]]]]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,1,1] => 1
[[[[[[]]],[],[]]],[]] => [[[[],[],[[[],[]]]]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1] => 1
[[[[[[]]],[[]]]],[]] => [[[[[]],[[[],[]]]]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2] => 1
[[[[[[]],[]],[]]],[]] => [[[],[[],[[[],[]]]]]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1,1] => 1
[[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1,1,1] => 1
[[[[[[[]]]],[]]],[]] => [[[[[],[[[],[]]]]]]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1] => 1
[[[[[[]],[],[]]]],[]] => [[[],[],[[[[],[]]]]]] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,2,1] => 1
[[[[[[]],[[]]]]],[]] => [[[[]],[[[[],[]]]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,2] => 1
[[[[[[[]]],[]]]],[]] => [[[[],[[[[],[]]]]]]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1] => 1
[[[[[[[]],[]]]]],[]] => [[[],[[[[[],[]]]]]]] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1] => 1
[[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1,1] => 1
[[[],[[[[[[]]]]]]]] => [[[[[[[]]]]]],[[]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,6] => 2
[[[[]],[[[],[[]]]]]] => [[[[[],[[]]]],[[]]]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [5,5,1,1] => 2
[[[[]],[[[[]],[]]]]] => [[[[[[]],[]]],[[]]]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [5,5,2] => 2
[[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,5,1] => 2
[[[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]]]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [5,5] => 2
[[[[[]]],[],[[],[]]]] => [[[[],[[],[]],[[]]]]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [4,4,2,1,1] => 2
[[[[[]]],[],[[[]]]]] => [[[[],[[[]]],[[]]]]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1,1] => 2
[[[[[]]],[[]],[[]]]] => [[[[[]],[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,4,2,2] => 2
[[[[[]]],[[],[]],[]]] => [[[[[],[]],[],[[]]]]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [4,4,3,1] => 2
[[[[[]]],[[[]]],[]]] => [[[[[[]]],[],[[]]]]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [4,4,3] => 2
[[[[[]]],[[],[],[]]]] => [[[[[],[],[]],[[]]]]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,4,2,1] => 2
[[[[[]]],[[],[[]]]]] => [[[[[],[[]]],[[]]]]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1] => 2
[[[[[]]],[[[]],[]]]] => [[[[[[]],[]],[[]]]]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [4,4,2] => 2
[[[[[]]],[[[],[]]]]] => [[[[[[],[]]],[[]]]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [4,4,1] => 2
[[[[[]]],[[[[]]]]]] => [[[[[[[]]]],[[]]]]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [4,4] => 2
[[[[[[]]]],[],[],[]]] => [[[[[],[],[],[[]]]]]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1] => 2
[[[[[[]]]],[],[[]]]] => [[[[[],[[]],[[]]]]]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1] => 2
[[[[[[]]]],[[]],[]]] => [[[[[[]],[],[[]]]]]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [3,3,2] => 2
[[[[[]],[]],[[[]]]]] => [[[],[[[[]]],[[]]]]] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1,1,1] => 2
[[[[[[]]]],[[],[]]]] => [[[[[[],[]],[[]]]]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [3,3,1] => 2
[[[[[[]]]],[[[]]]]] => [[[[[[[]]],[[]]]]]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,3] => 2
[[[[[[]]],[]],[],[]]] => [[[[],[[],[],[[]]]]]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1] => 2
[[[[[[]],[]]],[],[]]] => [[[],[[[],[],[[]]]]]] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1,1] => 2
[[[[[[],[]]]],[],[]]] => [[],[[[[],[],[[]]]]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1,1,1] => 2
[[[[[[[]]]]],[],[]]] => [[[[[[],[],[[]]]]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [2,2,1] => 2
[[[[[[]]],[]],[[]]]] => [[[[],[[[]],[[]]]]]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1] => 2
[[[[[[]],[]]],[[]]]] => [[[],[[[[]],[[]]]]]] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1,1] => 2
[[[[[[],[]]]],[[]]]] => [[],[[[[[]],[[]]]]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1,1,1] => 2
[[[[[[[]]]]],[[]]]] => [[[[[[[]],[[]]]]]]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,2] => 2
[[[[[[]]],[],[]],[]]] => [[[[],[],[[],[[]]]]]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1] => 2
[[[[[[]]],[[]]],[]]] => [[[[[]],[[],[[]]]]]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2] => 2
[[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1,1] => 2
[[[[[[[]]]],[]],[]]] => [[[[[],[[],[[]]]]]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1] => 2
[[[[[[]],[[]]]],[]]] => [[[[]],[[[],[[]]]]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,2] => 2
[[[[[[[]]],[]]],[]]] => [[[[],[[[],[[]]]]]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1] => 2
[[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1] => 2
[[[[[[[],[]]]]],[]]] => [[],[[[[[],[[]]]]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1,1] => 2
[[[[[[[[]]]]]],[]]] => [[[[[[[],[[]]]]]]]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1] => 2
[[[[[]],[[[[]]]]]]] => [[[[[[]]]],[[[]]]]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [4,4,4] => 3
[[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,1] => 3
[[[[[[]]],[],[[]]]]] => [[[[],[[]],[[[]]]]]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1,1] => 3
[[[[[[]]],[[]],[]]]] => [[[[[]],[],[[[]]]]]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2] => 3
[[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1] => 3
[[[[[[]]],[[[]]]]]] => [[[[[[]]],[[[]]]]]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [3,3,3] => 3
[[[[[[[]]]],[],[]]]] => [[[[[],[],[[[]]]]]]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1] => 3
[[[[[[]],[]],[[]]]]] => [[[],[[[]],[[[]]]]]] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1,1,1] => 3
[[[[[[[]]]],[[]]]]] => [[[[[[]],[[[]]]]]]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [2,2,2] => 3
[[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1] => 3
[[[[[[[]],[]]],[]]]] => [[[],[[[],[[[]]]]]]] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1] => 3
[[[[[[[],[]]]],[]]]] => [[],[[[[],[[[]]]]]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1,1] => 3
[[[[[[[[]]]]],[]]]] => [[[[[[],[[[]]]]]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1] => 3
[[[[[[]],[[[]]]]]]] => [[[[[]]],[[[[]]]]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3] => 4
[[[[[[[]]],[],[]]]]] => [[[[],[],[[[[]]]]]]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1] => 4
[[[[[[[]]],[[]]]]]] => [[[[[]],[[[[]]]]]]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2] => 4
[[[[[[[]],[]],[]]]]] => [[[],[[],[[[[]]]]]]] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1,1] => 4
[[[[[[[],[]]],[]]]]] => [[],[[[],[[[[]]]]]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1,1,1] => 4
[[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1] => 4
[[[[[[[]],[],[]]]]]] => [[[],[],[[[[[]]]]]]] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,1] => 5
[[[[[[[]],[[]]]]]]] => [[[[]],[[[[[]]]]]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2] => 5
[[[[[[[],[]],[]]]]]] => [[],[[],[[[[[]]]]]]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,1,1] => 5
[[[[[[[[]]],[]]]]]] => [[[[],[[[[[]]]]]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => 5
[[[[[[[],[[]]]]]]]] => [[[]],[[[[[[]]]]]]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => 6
[[[[[[[[]],[]]]]]]] => [[[],[[[[[[]]]]]]]] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => 6
[[[[[[[[],[]]]]]]]] => [[],[[[[[[[]]]]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => 7
search for individual values
searching the database for the individual values of this statistic
Description
The multiplicity of the largest part of an integer partition.
Map
to partition
Description
The cut-out partition of a Dyck path.
The partition $\lambda$ associated to a Dyck path is defined to be the complementary partition inside the staircase partition $(n-1,\ldots,2,1)$ when cutting out $D$ considered as a path from $(0,0)$ to $(n,n)$.
In other words, $\lambda_{i}$ is the number of down-steps before the $(n+1-i)$-th up-step of $D$.
This map is a bijection between Dyck paths of size $n$ and partitions inside the staircase partition $(n-1,\ldots,2,1)$.
Map
rotate
Description
The rotation of an ordered tree.
Let $T$ be a rooted ordered tree with root $r$ and left most leaf $\ell$. It's rotation is obtained by attaching a leaf to $r$, removing the leaf $\ell$ and letting the vertex attached to $\ell$ be the new root.
By duality, this operation corresponds to rotation of polygon dissections.
Map
to Dyck path
Description
Return the Dyck path of the corresponding ordered tree induced by the recurrence of the Catalan numbers, see wikipedia:Catalan_number.
This sends the maximal height of the Dyck path to the depth of the tree.