Identifier
Mp00328:
Ordered trees
—DeBruijn-Morselt plane tree automorphism⟶
Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Images
[] => [] => [] => []
[[]] => [[]] => [[]] => [1,0]
[[],[]] => [[[]]] => [[[]]] => [1,1,0,0]
[[[]]] => [[],[]] => [[],[]] => [1,0,1,0]
[[],[],[]] => [[[[]]]] => [[[[]]]] => [1,1,1,0,0,0]
[[],[[]]] => [[[],[]]] => [[[],[]]] => [1,1,0,1,0,0]
[[[]],[]] => [[],[[]]] => [[[]],[]] => [1,1,0,0,1,0]
[[[],[]]] => [[[]],[]] => [[],[[]]] => [1,0,1,1,0,0]
[[[[]]]] => [[],[],[]] => [[],[],[]] => [1,0,1,0,1,0]
[[],[],[],[]] => [[[[[]]]]] => [[[[[]]]]] => [1,1,1,1,0,0,0,0]
[[],[],[[]]] => [[[[],[]]]] => [[[[],[]]]] => [1,1,1,0,1,0,0,0]
[[],[[]],[]] => [[[],[[]]]] => [[[[]],[]]] => [1,1,1,0,0,1,0,0]
[[],[[],[]]] => [[[[]],[]]] => [[[],[[]]]] => [1,1,0,1,1,0,0,0]
[[],[[[]]]] => [[[],[],[]]] => [[[],[],[]]] => [1,1,0,1,0,1,0,0]
[[[]],[],[]] => [[],[[[]]]] => [[[[]]],[]] => [1,1,1,0,0,0,1,0]
[[[]],[[]]] => [[],[[],[]]] => [[[],[]],[]] => [1,1,0,1,0,0,1,0]
[[[],[]],[]] => [[[]],[[]]] => [[[]],[[]]] => [1,1,0,0,1,1,0,0]
[[[[]]],[]] => [[],[],[[]]] => [[[]],[],[]] => [1,1,0,0,1,0,1,0]
[[[],[],[]]] => [[[[]]],[]] => [[],[[[]]]] => [1,0,1,1,1,0,0,0]
[[[],[[]]]] => [[[],[]],[]] => [[],[[],[]]] => [1,0,1,1,0,1,0,0]
[[[[]],[]]] => [[],[[]],[]] => [[],[[]],[]] => [1,0,1,1,0,0,1,0]
[[[[],[]]]] => [[[]],[],[]] => [[],[],[[]]] => [1,0,1,0,1,1,0,0]
[[[[[]]]]] => [[],[],[],[]] => [[],[],[],[]] => [1,0,1,0,1,0,1,0]
[[],[],[],[],[]] => [[[[[[]]]]]] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0]
[[],[],[],[[]]] => [[[[[],[]]]]] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0]
[[],[],[[]],[]] => [[[[],[[]]]]] => [[[[[]],[]]]] => [1,1,1,1,0,0,1,0,0,0]
[[],[],[[],[]]] => [[[[[]],[]]]] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0]
[[],[],[[[]]]] => [[[[],[],[]]]] => [[[[],[],[]]]] => [1,1,1,0,1,0,1,0,0,0]
[[],[[]],[],[]] => [[[],[[[]]]]] => [[[[[]]],[]]] => [1,1,1,1,0,0,0,1,0,0]
[[],[[]],[[]]] => [[[],[[],[]]]] => [[[[],[]],[]]] => [1,1,1,0,1,0,0,1,0,0]
[[],[[],[]],[]] => [[[[]],[[]]]] => [[[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,0]
[[],[[[]]],[]] => [[[],[],[[]]]] => [[[[]],[],[]]] => [1,1,1,0,0,1,0,1,0,0]
[[],[[],[],[]]] => [[[[[]]],[]]] => [[[],[[[]]]]] => [1,1,0,1,1,1,0,0,0,0]
[[],[[],[[]]]] => [[[[],[]],[]]] => [[[],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0]
[[],[[[]],[]]] => [[[],[[]],[]]] => [[[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,0]
[[],[[[],[]]]] => [[[[]],[],[]]] => [[[],[],[[]]]] => [1,1,0,1,0,1,1,0,0,0]
[[],[[[[]]]]] => [[[],[],[],[]]] => [[[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,0]
[[[]],[],[],[]] => [[],[[[[]]]]] => [[[[[]]]],[]] => [1,1,1,1,0,0,0,0,1,0]
[[[]],[],[[]]] => [[],[[[],[]]]] => [[[[],[]]],[]] => [1,1,1,0,1,0,0,0,1,0]
[[[]],[[]],[]] => [[],[[],[[]]]] => [[[[]],[]],[]] => [1,1,1,0,0,1,0,0,1,0]
[[[]],[[],[]]] => [[],[[[]],[]]] => [[[],[[]]],[]] => [1,1,0,1,1,0,0,0,1,0]
[[[]],[[[]]]] => [[],[[],[],[]]] => [[[],[],[]],[]] => [1,1,0,1,0,1,0,0,1,0]
[[[],[]],[],[]] => [[[]],[[[]]]] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0]
[[[[]]],[],[]] => [[],[],[[[]]]] => [[[[]]],[],[]] => [1,1,1,0,0,0,1,0,1,0]
[[[],[]],[[]]] => [[[]],[[],[]]] => [[[],[]],[[]]] => [1,1,0,1,0,0,1,1,0,0]
[[[[]]],[[]]] => [[],[],[[],[]]] => [[[],[]],[],[]] => [1,1,0,1,0,0,1,0,1,0]
[[[],[],[]],[]] => [[[[]]],[[]]] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[]] => [[[],[]],[[]]] => [[[]],[[],[]]] => [1,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[]] => [[],[[]],[[]]] => [[[]],[[]],[]] => [1,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[]] => [[[]],[],[[]]] => [[[]],[],[[]]] => [1,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[]] => [[],[],[],[[]]] => [[[]],[],[],[]] => [1,1,0,0,1,0,1,0,1,0]
[[[],[],[],[]]] => [[[[[]]]],[]] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]]] => [[[[],[]]],[]] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]]] => [[[],[[]]],[]] => [[],[[[]],[]]] => [1,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]]] => [[[[]],[]],[]] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]]] => [[[],[],[]],[]] => [[],[[],[],[]]] => [1,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]]] => [[],[[[]]],[]] => [[],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]]] => [[],[[],[]],[]] => [[],[[],[]],[]] => [1,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]]] => [[[]],[[]],[]] => [[],[[]],[[]]] => [1,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]]] => [[],[],[[]],[]] => [[],[[]],[],[]] => [1,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]]] => [[[[]]],[],[]] => [[],[],[[[]]]] => [1,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]]] => [[[],[]],[],[]] => [[],[],[[],[]]] => [1,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]]] => [[],[[]],[],[]] => [[],[],[[]],[]] => [1,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]]] => [[[]],[],[],[]] => [[],[],[],[[]]] => [1,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]]] => [[],[],[],[],[]] => [[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0]
[[],[],[],[],[],[]] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0]
[[],[],[],[],[[]]] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0]
[[],[],[],[[]],[]] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]] => [1,1,1,1,1,0,0,1,0,0,0,0]
[[],[],[],[[],[]]] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0]
[[],[],[],[[[]]]] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0]
[[],[],[[]],[],[]] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]] => [1,1,1,1,1,0,0,0,1,0,0,0]
[[],[],[[]],[[]]] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]] => [1,1,1,1,0,1,0,0,1,0,0,0]
[[],[],[[],[]],[]] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[]] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,0,0]
[[],[],[[],[],[]]] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0]
[[],[],[[],[[]]]] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]] => [1,1,1,0,1,1,0,1,0,0,0,0]
[[],[],[[[]],[]]] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,0,0,0]
[[],[],[[[],[]]]] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,0,0]
[[],[],[[[[]]]]] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,0,0]
[[],[[]],[],[],[]] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]] => [1,1,1,1,1,0,0,0,0,1,0,0]
[[],[[]],[],[[]]] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]] => [1,1,1,1,0,1,0,0,0,1,0,0]
[[],[[]],[[]],[]] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]] => [1,1,1,1,0,0,1,0,0,1,0,0]
[[],[[]],[[],[]]] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]] => [1,1,1,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[]]]] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]] => [1,1,1,0,1,0,1,0,0,1,0,0]
[[],[[],[]],[],[]] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[]] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,0]
[[],[[],[]],[[]]] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[]]] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,0]
[[],[[],[],[]],[]] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]] => [1,1,1,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[]] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]] => [1,1,1,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[]] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[]] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[]] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,0]
[[],[[],[],[],[]]] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0]
[[],[[],[],[[]]]] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]] => [1,1,0,1,1,1,0,1,0,0,0,0]
[[],[[],[[]],[]]] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]] => [1,1,0,1,1,1,0,0,1,0,0,0]
[[],[[],[[],[]]]] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,0,0]
[[],[[],[[[]]]]] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,0,0]
[[],[[[]],[],[]]] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]] => [1,1,0,1,1,1,0,0,0,1,0,0]
[[],[[[]],[[]]]] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]] => [1,1,0,1,1,0,1,0,0,1,0,0]
[[],[[[],[]],[]]] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,0]
>>> Load all 2056 entries. <<<
[[],[[[[]]],[]]] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,0]
[[],[[[],[],[]]]] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]] => [1,1,0,1,0,1,1,1,0,0,0,0]
[[],[[[],[[]]]]] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]] => [1,1,0,1,0,1,1,0,1,0,0,0]
[[],[[[[]],[]]]] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,0,0]
[[],[[[[],[]]]]] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[]]]]]] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,0]
[[[]],[],[],[],[]] => [[],[[[[[]]]]]] => [[[[[[]]]]],[]] => [1,1,1,1,1,0,0,0,0,0,1,0]
[[[]],[],[],[[]]] => [[],[[[[],[]]]]] => [[[[[],[]]]],[]] => [1,1,1,1,0,1,0,0,0,0,1,0]
[[[]],[],[[]],[]] => [[],[[[],[[]]]]] => [[[[[]],[]]],[]] => [1,1,1,1,0,0,1,0,0,0,1,0]
[[[]],[],[[],[]]] => [[],[[[[]],[]]]] => [[[[],[[]]]],[]] => [1,1,1,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[]]]] => [[],[[[],[],[]]]] => [[[[],[],[]]],[]] => [1,1,1,0,1,0,1,0,0,0,1,0]
[[[]],[[]],[],[]] => [[],[[],[[[]]]]] => [[[[[]]],[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[]]] => [[],[[],[[],[]]]] => [[[[],[]],[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,0]
[[[]],[[],[]],[]] => [[],[[[]],[[]]]] => [[[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[]] => [[],[[],[],[[]]]] => [[[[]],[],[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,0]
[[[]],[[],[],[]]] => [[],[[[[]]],[]]] => [[[],[[[]]]],[]] => [1,1,0,1,1,1,0,0,0,0,1,0]
[[[]],[[],[[]]]] => [[],[[[],[]],[]]] => [[[],[[],[]]],[]] => [1,1,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[]],[]]] => [[],[[],[[]],[]]] => [[[],[[]],[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[],[]]]] => [[],[[[]],[],[]]] => [[[],[],[[]]],[]] => [1,1,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[]]]]] => [[],[[],[],[],[]]] => [[[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,0]
[[[],[]],[],[],[]] => [[[]],[[[[]]]]] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[]] => [[],[],[[[[]]]]] => [[[[[]]]],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0]
[[[],[]],[],[[]]] => [[[]],[[[],[]]]] => [[[[],[]]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[]]] => [[],[],[[[],[]]]] => [[[[],[]]],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0]
[[[],[]],[[]],[]] => [[[]],[[],[[]]]] => [[[[]],[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[]] => [[],[],[[],[[]]]] => [[[[]],[]],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0]
[[[],[]],[[],[]]] => [[[]],[[[]],[]]] => [[[],[[]]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[]]]] => [[[]],[[],[],[]]] => [[[],[],[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[]]] => [[],[],[[[]],[]]] => [[[],[[]]],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[]]]] => [[],[],[[],[],[]]] => [[[],[],[]],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0]
[[[],[],[]],[],[]] => [[[[]]],[[[]]]] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[]] => [[[],[]],[[[]]]] => [[[[]]],[[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[]] => [[],[[]],[[[]]]] => [[[[]]],[[]],[]] => [1,1,1,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[]] => [[[]],[],[[[]]]] => [[[[]]],[],[[]]] => [1,1,1,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[]] => [[],[],[],[[[]]]] => [[[[]]],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[[]]] => [[[[]]],[[],[]]] => [[[],[]],[[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[]]] => [[[],[]],[[],[]]] => [[[],[]],[[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[[]]] => [[],[[]],[[],[]]] => [[[],[]],[[]],[]] => [1,1,0,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[[]]] => [[[]],[],[[],[]]] => [[[],[]],[],[[]]] => [1,1,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[]]] => [[],[],[],[[],[]]] => [[[],[]],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0]
[[[],[],[],[]],[]] => [[[[[]]]],[[]]] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[]] => [[[[],[]]],[[]]] => [[[]],[[[],[]]]] => [1,1,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[]] => [[[],[[]]],[[]]] => [[[]],[[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[]] => [[[[]],[]],[[]]] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[]] => [[[],[],[]],[[]]] => [[[]],[[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[]] => [[],[[[]]],[[]]] => [[[]],[[[]]],[]] => [1,1,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[]] => [[],[[],[]],[[]]] => [[[]],[[],[]],[]] => [1,1,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[]] => [[[]],[[]],[[]]] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[]] => [[],[],[[]],[[]]] => [[[]],[[]],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[]] => [[[[]]],[],[[]]] => [[[]],[],[[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[]] => [[[],[]],[],[[]]] => [[[]],[],[[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[]] => [[],[[]],[],[[]]] => [[[]],[],[[]],[]] => [1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[]] => [[[]],[],[],[[]]] => [[[]],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[]] => [[],[],[],[],[[]]] => [[[]],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[]]] => [[[[[[]]]]],[]] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0]
[[[],[],[],[[]]]] => [[[[[],[]]]],[]] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0]
[[[],[],[[]],[]]] => [[[[],[[]]]],[]] => [[],[[[[]],[]]]] => [1,0,1,1,1,1,0,0,1,0,0,0]
[[[],[],[[],[]]]] => [[[[[]],[]]],[]] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0]
[[[],[],[[[]]]]] => [[[[],[],[]]],[]] => [[],[[[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,0,0]
[[[],[[]],[],[]]] => [[[],[[[]]]],[]] => [[],[[[[]]],[]]] => [1,0,1,1,1,1,0,0,0,1,0,0]
[[[],[[]],[[]]]] => [[[],[[],[]]],[]] => [[],[[[],[]],[]]] => [1,0,1,1,1,0,1,0,0,1,0,0]
[[[],[[],[]],[]]] => [[[[]],[[]]],[]] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0]
[[[],[[[]]],[]]] => [[[],[],[[]]],[]] => [[],[[[]],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,0]
[[[],[[],[],[]]]] => [[[[[]]],[]],[]] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0]
[[[],[[],[[]]]]] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]] => [1,0,1,1,0,1,1,0,1,0,0,0]
[[[],[[[]],[]]]] => [[[],[[]],[]],[]] => [[],[[],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,0,0]
[[[],[[[],[]]]]] => [[[[]],[],[]],[]] => [[],[[],[],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,0]
[[[],[[[[]]]]]] => [[[],[],[],[]],[]] => [[],[[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[]]] => [[],[[[[]]]],[]] => [[],[[[[]]]],[]] => [1,0,1,1,1,1,0,0,0,0,1,0]
[[[[]],[],[[]]]] => [[],[[[],[]]],[]] => [[],[[[],[]]],[]] => [1,0,1,1,1,0,1,0,0,0,1,0]
[[[[]],[[]],[]]] => [[],[[],[[]]],[]] => [[],[[[]],[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,0]
[[[[]],[[],[]]]] => [[],[[[]],[]],[]] => [[],[[],[[]]],[]] => [1,0,1,1,0,1,1,0,0,0,1,0]
[[[[]],[[[]]]]] => [[],[[],[],[]],[]] => [[],[[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[]]] => [[[]],[[[]]],[]] => [[],[[[]]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0]
[[[[[]]],[],[]]] => [[],[],[[[]]],[]] => [[],[[[]]],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0]
[[[[],[]],[[]]]] => [[[]],[[],[]],[]] => [[],[[],[]],[[]]] => [1,0,1,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[]]]] => [[],[],[[],[]],[]] => [[],[[],[]],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[]]] => [[[[]]],[[]],[]] => [[],[[]],[[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[]]] => [[[],[]],[[]],[]] => [[],[[]],[[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[]]] => [[],[[]],[[]],[]] => [[],[[]],[[]],[]] => [1,0,1,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[]]] => [[[]],[],[[]],[]] => [[],[[]],[],[[]]] => [1,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[]]] => [[],[],[],[[]],[]] => [[],[[]],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]]]] => [[[[[]]]],[],[]] => [[],[],[[[[]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]]]] => [[[[],[]]],[],[]] => [[],[],[[[],[]]]] => [1,0,1,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]]]] => [[[],[[]]],[],[]] => [[],[],[[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]]]] => [[[[]],[]],[],[]] => [[],[],[[],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]]]] => [[[],[],[]],[],[]] => [[],[],[[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]]]] => [[],[[[]]],[],[]] => [[],[],[[[]]],[]] => [1,0,1,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]]]] => [[],[[],[]],[],[]] => [[],[],[[],[]],[]] => [1,0,1,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]]]] => [[[]],[[]],[],[]] => [[],[],[[]],[[]]] => [1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]]]] => [[],[],[[]],[],[]] => [[],[],[[]],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]]]] => [[[[]]],[],[],[]] => [[],[],[],[[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]]]] => [[[],[]],[],[],[]] => [[],[],[],[[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]]]] => [[],[[]],[],[],[]] => [[],[],[],[[]],[]] => [1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]]]] => [[[]],[],[],[],[]] => [[],[],[],[],[[]]] => [1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]]]] => [[],[],[],[],[],[]] => [[],[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0,1,0]
[[],[],[],[],[],[],[]] => [[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]]] => [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]
[[],[],[],[],[[]],[]] => [[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[],[],[],[],[[],[]]] => [[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[],[],[],[],[[[]]]] => [[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[],[],[],[[]],[],[]] => [[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[],[],[],[[]],[[]]] => [[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[],[],[],[[],[]],[]] => [[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[],[],[],[[[]]],[]] => [[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[],[],[],[[],[],[]]] => [[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[],[],[],[[],[[]]]] => [[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[],[],[],[[[]],[]]] => [[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[],[],[],[[[],[]]]] => [[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[],[],[],[[[[]]]]] => [[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[],[],[[]],[],[],[]] => [[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[],[],[[]],[],[[]]] => [[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[],[],[[]],[[]],[]] => [[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[],[],[[]],[[],[]]] => [[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[],[],[[]],[[[]]]] => [[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[],[],[[],[]],[],[]] => [[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[],[]] => [[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[],[],[[],[]],[[]]] => [[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[[]]] => [[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[],[],[[],[],[]],[]] => [[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[],[],[[],[[]]],[]] => [[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[],[],[[[]],[]],[]] => [[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[],[],[[[],[]]],[]] => [[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[],[],[[[[]]]],[]] => [[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[],[],[[],[],[],[]]] => [[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[],[],[[],[],[[]]]] => [[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[],[],[[],[[]],[]]] => [[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[],[],[[],[[],[]]]] => [[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[],[],[[],[[[]]]]] => [[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[],[],[[[]],[],[]]] => [[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[],[],[[[]],[[]]]] => [[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[],[],[[[],[]],[]]] => [[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[],[],[[[[]]],[]]] => [[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[],[],[[[],[],[]]]] => [[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[],[],[[[],[[]]]]] => [[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[],[],[[[[]],[]]]] => [[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[],[],[[[[],[]]]]] => [[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[[],[],[[[[[]]]]]] => [[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[],[[]],[],[],[],[]] => [[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[],[[]],[],[],[[]]] => [[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[],[[]],[],[[]],[]] => [[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[],[[]],[],[[],[]]] => [[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[],[[]],[],[[[]]]] => [[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[],[[]],[[]],[],[]] => [[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[],[[]],[[]],[[]]] => [[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[],[[]],[[],[]],[]] => [[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[]]],[]] => [[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[],[[]],[[],[],[]]] => [[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[],[[]],[[],[[]]]] => [[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[],[[]],[[[]],[]]] => [[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[],[[]],[[[],[]]]] => [[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[[]]]]] => [[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[],[[],[]],[],[],[]] => [[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[],[]] => [[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[],[[],[]],[],[[]]] => [[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[[]]] => [[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[],[[],[]],[[]],[]] => [[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[]],[]] => [[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[],[[],[]],[[],[]]] => [[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[],[[],[]],[[[]]]] => [[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[],[]]] => [[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[],[[[]]],[[[]]]] => [[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[],[[],[],[]],[],[]] => [[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[],[]] => [[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[],[]] => [[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[],[]] => [[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[],[]] => [[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[],[[],[],[]],[[]]] => [[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[[]]] => [[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[[]]] => [[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[[]]] => [[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[[]]] => [[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[],[[],[],[],[]],[]] => [[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[],[[],[],[[]]],[]] => [[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[],[[],[[]],[]],[]] => [[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[],[[],[[],[]]],[]] => [[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[],[[],[[[]]]],[]] => [[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[],[[[]],[],[]],[]] => [[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[],[[[]],[[]]],[]] => [[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[],[[[],[]],[]],[]] => [[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[],[[[[]]],[]],[]] => [[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[],[[[],[],[]]],[]] => [[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[],[[[],[[]]]],[]] => [[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[],[[[[]],[]]],[]] => [[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[],[[[[],[]]]],[]] => [[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[]]]]],[]] => [[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[],[[],[],[],[],[]]] => [[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[],[[],[],[],[[]]]] => [[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[],[[],[],[[]],[]]] => [[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[],[[],[],[[],[]]]] => [[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[],[[],[],[[[]]]]] => [[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[],[[],[[]],[],[]]] => [[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[],[[],[[]],[[]]]] => [[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[],[[],[[],[]],[]]] => [[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[],[[],[[[]]],[]]] => [[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[],[[],[[],[],[]]]] => [[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[],[[],[[],[[]]]]] => [[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[],[[],[[[]],[]]]] => [[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[],[[],[[[],[]]]]] => [[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[[],[[],[[[[]]]]]] => [[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[],[[[]],[],[],[]]] => [[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[],[[[]],[],[[]]]] => [[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[],[[[]],[[]],[]]] => [[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[],[[[]],[[],[]]]] => [[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[],[[[]],[[[]]]]] => [[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[],[[[],[]],[],[]]] => [[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[],[[[[]]],[],[]]] => [[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[],[[[],[]],[[]]]] => [[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[],[[[[]]],[[]]]] => [[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[],[[[],[],[]],[]]] => [[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[],[[[],[[]]],[]]] => [[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[],[[[[]],[]],[]]] => [[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[],[[[[],[]]],[]]] => [[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[],[[[[[]]]],[]]] => [[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[],[[[],[],[],[]]]] => [[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[],[[[],[],[[]]]]] => [[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[],[[[],[[]],[]]]] => [[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[],[[[],[[],[]]]]] => [[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[],[[[],[[[]]]]]] => [[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[],[[[[]],[],[]]]] => [[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[],[[[[]],[[]]]]] => [[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[],[[[[],[]],[]]]] => [[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[],[[[[[]]],[]]]] => [[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[],[[[[],[],[]]]]] => [[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[],[[[[],[[]]]]]] => [[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[],[[[[[]],[]]]]] => [[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[],[[[[[],[]]]]]] => [[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[[]]]]]]] => [[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[]],[],[],[],[],[]] => [[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[]],[],[],[],[[]]] => [[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[]],[],[],[[]],[]] => [[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[]],[],[],[[],[]]] => [[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[]],[],[],[[[]]]] => [[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[[]],[],[[]],[],[]] => [[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[]],[],[[]],[[]]] => [[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[]],[],[[],[]],[]] => [[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[]]],[]] => [[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[]],[],[[],[],[]]] => [[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[]],[],[[],[[]]]] => [[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[]],[],[[[]],[]]] => [[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[]],[],[[[],[]]]] => [[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[[]]]]] => [[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[[]],[[]],[],[],[]] => [[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[]],[[]],[],[[]]] => [[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[]],[]] => [[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[]],[[]],[[],[]]] => [[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[[]]]] => [[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[]],[[],[]],[],[]] => [[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[],[]] => [[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[[]],[[],[]],[[]]] => [[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[[]]] => [[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[]],[[],[],[]],[]] => [[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[[]],[[],[[]]],[]] => [[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[]],[]],[]] => [[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[],[]]],[]] => [[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[]]]],[]] => [[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[[]],[[],[],[],[]]] => [[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[]],[[],[],[[]]]] => [[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[[]],[[],[[]],[]]] => [[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[[]],[[],[[],[]]]] => [[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[[]],[[],[[[]]]]] => [[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[[]],[[[]],[],[]]] => [[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[[]],[[[]],[[]]]] => [[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[[]],[[[],[]],[]]] => [[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[[]]],[]]] => [[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[[]],[[[],[],[]]]] => [[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[[]],[[[],[[]]]]] => [[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[[]],[]]]] => [[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[[],[]]]]] => [[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[[]]]]]] => [[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[],[]],[],[],[],[]] => [[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[],[]] => [[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[],[]],[],[],[[]]] => [[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[[]]] => [[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[],[]],[],[[]],[]] => [[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[]],[]] => [[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[],[]],[],[[],[]]] => [[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[],[[[]]]] => [[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[],[]]] => [[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[],[[[]]]] => [[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[],[]],[[]],[],[]] => [[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[],[]] => [[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[],[]],[[]],[[]]] => [[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[[]]] => [[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[],[]],[[],[]],[]] => [[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[]]],[]] => [[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[]],[]] => [[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[]]],[]] => [[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[],[]],[[],[],[]]] => [[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[[],[[]]]] => [[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[[],[]],[[[]],[]]] => [[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[[],[]],[[[],[]]]] => [[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[[]]]]] => [[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[],[]]] => [[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[[],[[]]]] => [[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[[]]],[[[]],[]]] => [[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[[]]],[[[],[]]]] => [[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[[]]]]] => [[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[],[],[]],[],[],[]] => [[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[],[]] => [[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[],[]] => [[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[],[]] => [[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[],[[]]] => [[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[[]]] => [[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[[]]] => [[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[[]]] => [[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[[]],[]] => [[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[]],[]] => [[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]] => [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]
[[[[],[]]],[[]],[]] => [[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[]],[]] => [[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[],[],[]],[[],[]]] => [[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[[],[[]]],[[[]]]] => [[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[[],[]]] => [[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[[]],[]],[[[]]]] => [[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[[],[]]] => [[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[[[],[]]],[[[]]]] => [[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[],[]]] => [[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[]]]],[[[]]]] => [[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[],[],[],[]],[],[]] => [[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[],[]] => [[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[],[]] => [[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[],[]] => [[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[],[]] => [[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[],[]] => [[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[],[]] => [[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[],[]] => [[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[],[]] => [[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[],[]] => [[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[],[]] => [[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[],[]] => [[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[],[]] => [[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[],[]] => [[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[]],[[]]] => [[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[[]]] => [[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[[]]] => [[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[[]]] => [[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[[]]] => [[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[[]]] => [[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[[]]] => [[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[[]]] => [[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[[]]] => [[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[[]]] => [[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[[]]] => [[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[[]]] => [[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[[]]] => [[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[[]]] => [[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[]],[]] => [[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[],[],[],[[]]],[]] => [[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[[],[],[[]],[]],[]] => [[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[[],[],[[],[]]],[]] => [[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[[],[],[[[]]]],[]] => [[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[[],[[]],[],[]],[]] => [[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[[],[[]],[[]]],[]] => [[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[[],[[],[]],[]],[]] => [[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[[],[[[]]],[]],[]] => [[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[[],[[],[],[]]],[]] => [[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[[],[[],[[]]]],[]] => [[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[[],[[[]],[]]],[]] => [[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[[],[[[],[]]]],[]] => [[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[[],[[[[]]]]],[]] => [[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[]],[]] => [[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[[[]],[],[[]]],[]] => [[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[[[]],[[]],[]],[]] => [[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[]],[[],[]]],[]] => [[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[[[]],[[[]]]],[]] => [[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[]],[]] => [[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[[[[]]],[],[]],[]] => [[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[],[]],[[]]],[]] => [[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[]]],[]] => [[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[]],[]] => [[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[]],[]] => [[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[]],[]] => [[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[]],[]] => [[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[]],[]] => [[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]]],[]] => [[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]]],[]] => [[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]]],[]] => [[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]]],[]] => [[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]]],[]] => [[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]]],[]] => [[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]]],[]] => [[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]]],[]] => [[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]]],[]] => [[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]]],[]] => [[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]]],[]] => [[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]]],[]] => [[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]]],[]] => [[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]]],[]] => [[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[],[]]] => [[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[],[],[],[],[[]]]] => [[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[[],[],[],[[]],[]]] => [[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[[],[],[],[[],[]]]] => [[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[[],[],[],[[[]]]]] => [[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[[],[],[[]],[],[]]] => [[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[[],[],[[]],[[]]]] => [[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[[],[],[[],[]],[]]] => [[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[[],[],[[[]]],[]]] => [[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[[],[],[[],[],[]]]] => [[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[[],[],[[],[[]]]]] => [[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[[],[],[[[]],[]]]] => [[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[[],[],[[[],[]]]]] => [[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[[],[],[[[[]]]]]] => [[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[[],[[]],[],[],[]]] => [[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[[],[[]],[],[[]]]] => [[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[[],[[]],[[]],[]]] => [[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[],[[]],[[],[]]]] => [[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[[],[[]],[[[]]]]] => [[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[[],[[],[]],[],[]]] => [[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[[],[[[]]],[],[]]] => [[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[[],[[],[]],[[]]]] => [[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[[],[[[]]],[[]]]] => [[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[[],[[],[],[]],[]]] => [[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[[],[[],[[]]],[]]] => [[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[[],[[[]],[]],[]]] => [[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[],[[[],[]]],[]]] => [[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[],[[[[]]]],[]]] => [[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[[],[[],[],[],[]]]] => [[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[[],[[],[],[[]]]]] => [[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[[],[[],[[]],[]]]] => [[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[[],[[],[[],[]]]]] => [[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[[],[[],[[[]]]]]] => [[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[[],[[[]],[],[]]]] => [[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[[],[[[]],[[]]]]] => [[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[[],[[[],[]],[]]]] => [[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[],[[[[]]],[]]]] => [[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[[],[[[],[],[]]]]] => [[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[[],[[[],[[]]]]]] => [[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[[],[[[[]],[]]]]] => [[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[[],[[[[],[]]]]]] => [[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[[],[[[[[]]]]]]] => [[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[],[]]] => [[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[[[]],[],[],[[]]]] => [[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[[[]],[],[[]],[]]] => [[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[[[]],[],[[],[]]]] => [[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[[[]],[],[[[]]]]] => [[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[[[]],[[]],[],[]]] => [[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[[[]],[[]],[[]]]] => [[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[[]],[[],[]],[]]] => [[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[[[]],[[[]]],[]]] => [[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[[[]],[[],[],[]]]] => [[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[[[]],[[],[[]]]]] => [[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[]],[[[]],[]]]] => [[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[[]],[[[],[]]]]] => [[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[[[]],[[[[]]]]]] => [[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[],[]]] => [[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[[[[]]],[],[],[]]] => [[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[[[],[]],[],[[]]]] => [[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[[[[]]],[],[[]]]] => [[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[[[],[]],[[]],[]]] => [[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[[]]],[[]],[]]] => [[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[[[],[]],[[],[]]]] => [[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[[[],[]],[[[]]]]] => [[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[],[]]]] => [[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[[[[]]],[[[]]]]] => [[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[],[]]] => [[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[[[],[[]]],[],[]]] => [[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[[[[]],[]],[],[]]] => [[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[[[[],[]]],[],[]]] => [[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[[[[[]]]],[],[]]] => [[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[[[],[],[]],[[]]]] => [[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[[]]]] => [[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[[]]]] => [[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[[]]]] => [[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[[]]]] => [[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]],[]]] => [[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]],[]]] => [[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]],[]]] => [[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]],[]]] => [[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]],[]]] => [[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]],[]]] => [[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]],[]]] => [[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]],[]]] => [[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]],[]]] => [[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]],[]]] => [[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]],[]]] => [[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]],[]]] => [[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]],[]]] => [[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]],[]]] => [[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[],[],[],[],[]]]] => [[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[[],[],[],[[]]]]] => [[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[[[],[],[[]],[]]]] => [[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[[[],[],[[],[]]]]] => [[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[[[],[],[[[]]]]]] => [[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[[],[[]],[],[]]]] => [[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[[[],[[]],[[]]]]] => [[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[[[],[[],[]],[]]]] => [[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[[[],[[[]]],[]]]] => [[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[[[],[[],[],[]]]]] => [[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[[[],[[],[[]]]]]] => [[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[[[],[[[]],[]]]]] => [[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[[],[[[],[]]]]]] => [[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[[[],[[[[]]]]]]] => [[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[[]],[],[],[]]]] => [[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[[[[]],[],[[]]]]] => [[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[[[[]],[[]],[]]]] => [[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[[[[]],[[],[]]]]] => [[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[[[[]],[[[]]]]]] => [[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[[[[],[]],[],[]]]] => [[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[[[[[]]],[],[]]]] => [[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[[[[],[]],[[]]]]] => [[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[[[[[]]],[[]]]]] => [[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[[[[],[],[]],[]]]] => [[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[[[[],[[]]],[]]]] => [[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[[[[[]],[]],[]]]] => [[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[[[[[],[]]],[]]]] => [[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[[]]]],[]]]] => [[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[],[],[],[]]]]] => [[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[[],[],[[]]]]]] => [[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[[[[],[[]],[]]]]] => [[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[[],[[],[]]]]]] => [[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[[[[[],[[[]]]]]]] => [[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[[]],[],[]]]]] => [[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[[[[[]],[[]]]]]] => [[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[[[[[],[]],[]]]]] => [[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[[]]],[]]]]] => [[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[],[],[]]]]]] => [[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[],[[]]]]]]] => [[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[[]],[]]]]]] => [[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[[],[]]]]]]] => [[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[[]]]]]]]] => [[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[],[],[],[],[],[],[],[]] => [[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]]] => [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]
[[],[],[],[],[],[[]],[]] => [[[[[[[],[[]]]]]]]] => [[[[[[[[]],[]]]]]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[[],[],[],[],[],[[],[]]] => [[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[[],[],[],[],[],[[[]]]] => [[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[[],[],[],[],[[]],[],[]] => [[[[[[],[[[]]]]]]]] => [[[[[[[[]]],[]]]]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[[],[],[],[],[[]],[[]]] => [[[[[[],[[],[]]]]]]] => [[[[[[[],[]],[]]]]]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[[],[],[],[],[[],[]],[]] => [[[[[[[]],[[]]]]]]] => [[[[[[[]],[[]]]]]]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[[],[],[],[],[[[]]],[]] => [[[[[[],[],[[]]]]]]] => [[[[[[[]],[],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[[],[],[],[],[[],[],[]]] => [[[[[[[[]]],[]]]]]] => [[[[[[],[[[]]]]]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[[],[],[],[],[[],[[]]]] => [[[[[[[],[]],[]]]]]] => [[[[[[],[[],[]]]]]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[[],[],[],[],[[[]],[]]] => [[[[[[],[[]],[]]]]]] => [[[[[[],[[]],[]]]]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[[],[],[],[],[[[],[]]]] => [[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[[],[],[],[],[[[[]]]]] => [[[[[[],[],[],[]]]]]] => [[[[[[],[],[],[]]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[[],[],[],[[]],[],[],[]] => [[[[[],[[[[]]]]]]]] => [[[[[[[[]]]],[]]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[[],[],[],[[]],[],[[]]] => [[[[[],[[[],[]]]]]]] => [[[[[[[],[]]],[]]]]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[[],[],[],[[]],[[]],[]] => [[[[[],[[],[[]]]]]]] => [[[[[[[]],[]],[]]]]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[[],[],[],[[]],[[],[]]] => [[[[[],[[[]],[]]]]]] => [[[[[[],[[]]],[]]]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[[],[],[],[[]],[[[]]]] => [[[[[],[[],[],[]]]]]] => [[[[[[],[],[]],[]]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[[],[],[],[[],[]],[],[]] => [[[[[[]],[[[]]]]]]] => [[[[[[[]]],[[]]]]]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[[],[],[],[[[]]],[],[]] => [[[[[],[],[[[]]]]]]] => [[[[[[[]]],[],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[[],[],[],[[],[]],[[]]] => [[[[[[]],[[],[]]]]]] => [[[[[[],[]],[[]]]]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[[],[],[],[[[]]],[[]]] => [[[[[],[],[[],[]]]]]] => [[[[[[],[]],[],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[[],[],[],[[],[],[]],[]] => [[[[[[[]]],[[]]]]]] => [[[[[[]],[[[]]]]]]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[[],[],[],[[],[[]]],[]] => [[[[[[],[]],[[]]]]]] => [[[[[[]],[[],[]]]]]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[[],[],[],[[[]],[]],[]] => [[[[[],[[]],[[]]]]]] => [[[[[[]],[[]],[]]]]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[[],[],[],[[[],[]]],[]] => [[[[[[]],[],[[]]]]]] => [[[[[[]],[],[[]]]]]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[[],[],[],[[[[]]]],[]] => [[[[[],[],[],[[]]]]]] => [[[[[[]],[],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[[],[],[],[[],[],[],[]]] => [[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[[],[],[],[[],[],[[]]]] => [[[[[[[],[]]],[]]]]] => [[[[[],[[[],[]]]]]]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[[],[],[],[[],[[]],[]]] => [[[[[[],[[]]],[]]]]] => [[[[[],[[[]],[]]]]]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[[],[],[],[[],[[],[]]]] => [[[[[[[]],[]],[]]]]] => [[[[[],[[],[[]]]]]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[[],[],[],[[],[[[]]]]] => [[[[[[],[],[]],[]]]]] => [[[[[],[[],[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[[],[],[],[[[]],[],[]]] => [[[[[],[[[]]],[]]]]] => [[[[[],[[[]]],[]]]]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[[],[],[],[[[]],[[]]]] => [[[[[],[[],[]],[]]]]] => [[[[[],[[],[]],[]]]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[[],[],[],[[[],[]],[]]] => [[[[[[]],[[]],[]]]]] => [[[[[],[[]],[[]]]]]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[[],[],[],[[[[]]],[]]] => [[[[[],[],[[]],[]]]]] => [[[[[],[[]],[],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[[],[],[],[[[],[],[]]]] => [[[[[[[]]],[],[]]]]] => [[[[[],[],[[[]]]]]]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[[],[],[],[[[],[[]]]]] => [[[[[[],[]],[],[]]]]] => [[[[[],[],[[],[]]]]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[[],[],[],[[[[]],[]]]] => [[[[[],[[]],[],[]]]]] => [[[[[],[],[[]],[]]]]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[[],[],[],[[[[],[]]]]] => [[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[[],[],[],[[[[[]]]]]] => [[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[[],[],[[]],[],[],[],[]] => [[[[],[[[[[]]]]]]]] => [[[[[[[[]]]]],[]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[[],[],[[]],[],[],[[]]] => [[[[],[[[[],[]]]]]]] => [[[[[[[],[]]]],[]]]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[[],[],[[]],[],[[]],[]] => [[[[],[[[],[[]]]]]]] => [[[[[[[]],[]]],[]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[[],[],[[]],[],[[],[]]] => [[[[],[[[[]],[]]]]]] => [[[[[[],[[]]]],[]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[[],[],[[]],[],[[[]]]] => [[[[],[[[],[],[]]]]]] => [[[[[[],[],[]]],[]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[[],[],[[]],[[]],[],[]] => [[[[],[[],[[[]]]]]]] => [[[[[[[]]],[]],[]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[[],[],[[]],[[]],[[]]] => [[[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[[],[],[[]],[[],[]],[]] => [[[[],[[[]],[[]]]]]] => [[[[[[]],[[]]],[]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[[],[],[[]],[[[]]],[]] => [[[[],[[],[],[[]]]]]] => [[[[[[]],[],[]],[]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[[],[],[[]],[[],[],[]]] => [[[[],[[[[]]],[]]]]] => [[[[[],[[[]]]],[]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[[],[],[[]],[[],[[]]]] => [[[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[[],[],[[]],[[[]],[]]] => [[[[],[[],[[]],[]]]]] => [[[[[],[[]],[]],[]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[[],[],[[]],[[[],[]]]] => [[[[],[[[]],[],[]]]]] => [[[[[],[],[[]]],[]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[[],[],[[]],[[[[]]]]] => [[[[],[[],[],[],[]]]]] => [[[[[],[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[[],[],[[],[]],[],[],[]] => [[[[[]],[[[[]]]]]]] => [[[[[[[]]]],[[]]]]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[],[],[]] => [[[[],[],[[[[]]]]]]] => [[[[[[[]]]],[],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[[],[],[[],[]],[],[[]]] => [[[[[]],[[[],[]]]]]] => [[[[[[],[]]],[[]]]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[],[[]]] => [[[[],[],[[[],[]]]]]] => [[[[[[],[]]],[],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[[],[],[[],[]],[[]],[]] => [[[[[]],[[],[[]]]]]] => [[[[[[]],[]],[[]]]]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[[]],[]] => [[[[],[],[[],[[]]]]]] => [[[[[[]],[]],[],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[[],[],[[],[]],[[],[]]] => [[[[[]],[[[]],[]]]]] => [[[[[],[[]]],[[]]]]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[[],[],[[],[]],[[[]]]] => [[[[[]],[[],[],[]]]]] => [[[[[],[],[]],[[]]]]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[[],[],[[[]]],[[],[]]] => [[[[],[],[[[]],[]]]]] => [[[[[],[[]]],[],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[[],[],[[[]]],[[[]]]] => [[[[],[],[[],[],[]]]]] => [[[[[],[],[]],[],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[[],[],[[],[],[]],[],[]] => [[[[[[]]],[[[]]]]]] => [[[[[[]]],[[[]]]]]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[[],[],[[],[[]]],[],[]] => [[[[[],[]],[[[]]]]]] => [[[[[[]]],[[],[]]]]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[[],[],[[[]],[]],[],[]] => [[[[],[[]],[[[]]]]]] => [[[[[[]]],[[]],[]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[[],[],[[[],[]]],[],[]] => [[[[[]],[],[[[]]]]]] => [[[[[[]]],[],[[]]]]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[[],[],[[[[]]]],[],[]] => [[[[],[],[],[[[]]]]]] => [[[[[[]]],[],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[[],[],[[],[],[]],[[]]] => [[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[[],[],[[],[[]]],[[]]] => [[[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[[],[],[[[]],[]],[[]]] => [[[[],[[]],[[],[]]]]] => [[[[[],[]],[[]],[]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[[],[],[[[],[]]],[[]]] => [[[[[]],[],[[],[]]]]] => [[[[[],[]],[],[[]]]]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[[],[],[[[[]]]],[[]]] => [[[[],[],[],[[],[]]]]] => [[[[[],[]],[],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[[],[],[[],[],[],[]],[]] => [[[[[[[]]]],[[]]]]] => [[[[[]],[[[[]]]]]]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[[],[],[[],[],[[]]],[]] => [[[[[[],[]]],[[]]]]] => [[[[[]],[[[],[]]]]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[[],[],[[],[[]],[]],[]] => [[[[[],[[]]],[[]]]]] => [[[[[]],[[[]],[]]]]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[[],[],[[],[[],[]]],[]] => [[[[[[]],[]],[[]]]]] => [[[[[]],[[],[[]]]]]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[[],[],[[],[[[]]]],[]] => [[[[[],[],[]],[[]]]]] => [[[[[]],[[],[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[[],[],[[[]],[],[]],[]] => [[[[],[[[]]],[[]]]]] => [[[[[]],[[[]]],[]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[[],[],[[[]],[[]]],[]] => [[[[],[[],[]],[[]]]]] => [[[[[]],[[],[]],[]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[[],[],[[[],[]],[]],[]] => [[[[[]],[[]],[[]]]]] => [[[[[]],[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[[],[],[[[[]]],[]],[]] => [[[[],[],[[]],[[]]]]] => [[[[[]],[[]],[],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[[],[],[[[],[],[]]],[]] => [[[[[[]]],[],[[]]]]] => [[[[[]],[],[[[]]]]]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[[],[],[[[],[[]]]],[]] => [[[[[],[]],[],[[]]]]] => [[[[[]],[],[[],[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[[],[],[[[[]],[]]],[]] => [[[[],[[]],[],[[]]]]] => [[[[[]],[],[[]],[]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[[],[],[[[[],[]]]],[]] => [[[[[]],[],[],[[]]]]] => [[[[[]],[],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[[],[],[[[[[]]]]],[]] => [[[[],[],[],[],[[]]]]] => [[[[[]],[],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[[],[],[[],[],[],[],[]]] => [[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[[],[],[[],[],[],[[]]]] => [[[[[[[],[]]]],[]]]] => [[[[],[[[[],[]]]]]]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[[],[],[[],[],[[]],[]]] => [[[[[[],[[]]]],[]]]] => [[[[],[[[[]],[]]]]]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[[],[],[[],[],[[],[]]]] => [[[[[[[]],[]]],[]]]] => [[[[],[[[],[[]]]]]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[[],[],[[],[],[[[]]]]] => [[[[[[],[],[]]],[]]]] => [[[[],[[[],[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[[],[],[[],[[]],[],[]]] => [[[[[],[[[]]]],[]]]] => [[[[],[[[[]]],[]]]]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[[],[],[[],[[]],[[]]]] => [[[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[[],[],[[],[[],[]],[]]] => [[[[[[]],[[]]],[]]]] => [[[[],[[[]],[[]]]]]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[[],[],[[],[[[]]],[]]] => [[[[[],[],[[]]],[]]]] => [[[[],[[[]],[],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[[],[],[[],[[],[],[]]]] => [[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[[],[],[[],[[],[[]]]]] => [[[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[[],[],[[],[[[]],[]]]] => [[[[[],[[]],[]],[]]]] => [[[[],[[],[[]],[]]]]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[[],[],[[],[[[],[]]]]] => [[[[[[]],[],[]],[]]]] => [[[[],[[],[],[[]]]]]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[[],[],[[],[[[[]]]]]] => [[[[[],[],[],[]],[]]]] => [[[[],[[],[],[],[]]]]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[[],[],[[[]],[],[],[]]] => [[[[],[[[[]]]],[]]]] => [[[[],[[[[]]]],[]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[[],[],[[[]],[],[[]]]] => [[[[],[[[],[]]],[]]]] => [[[[],[[[],[]]],[]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[[],[],[[[]],[[]],[]]] => [[[[],[[],[[]]],[]]]] => [[[[],[[[]],[]],[]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[[],[],[[[]],[[],[]]]] => [[[[],[[[]],[]],[]]]] => [[[[],[[],[[]]],[]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[[],[],[[[]],[[[]]]]] => [[[[],[[],[],[]],[]]]] => [[[[],[[],[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[[],[],[[[],[]],[],[]]] => [[[[[]],[[[]]],[]]]] => [[[[],[[[]]],[[]]]]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[[],[],[[[[]]],[],[]]] => [[[[],[],[[[]]],[]]]] => [[[[],[[[]]],[],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[[],[],[[[],[]],[[]]]] => [[[[[]],[[],[]],[]]]] => [[[[],[[],[]],[[]]]]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[[],[],[[[[]]],[[]]]] => [[[[],[],[[],[]],[]]]] => [[[[],[[],[]],[],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[[],[],[[[],[],[]],[]]] => [[[[[[]]],[[]],[]]]] => [[[[],[[]],[[[]]]]]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[[],[],[[[],[[]]],[]]] => [[[[[],[]],[[]],[]]]] => [[[[],[[]],[[],[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[[],[],[[[[]],[]],[]]] => [[[[],[[]],[[]],[]]]] => [[[[],[[]],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[[],[],[[[[],[]]],[]]] => [[[[[]],[],[[]],[]]]] => [[[[],[[]],[],[[]]]]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[[],[],[[[[[]]]],[]]] => [[[[],[],[],[[]],[]]]] => [[[[],[[]],[],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[[],[],[[[],[],[],[]]]] => [[[[[[[]]]],[],[]]]] => [[[[],[],[[[[]]]]]]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[[],[],[[[],[],[[]]]]] => [[[[[[],[]]],[],[]]]] => [[[[],[],[[[],[]]]]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[[],[],[[[],[[]],[]]]] => [[[[[],[[]]],[],[]]]] => [[[[],[],[[[]],[]]]]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[[],[],[[[],[[],[]]]]] => [[[[[[]],[]],[],[]]]] => [[[[],[],[[],[[]]]]]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[[],[],[[[],[[[]]]]]] => [[[[[],[],[]],[],[]]]] => [[[[],[],[[],[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[[],[],[[[[]],[],[]]]] => [[[[],[[[]]],[],[]]]] => [[[[],[],[[[]]],[]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[[],[],[[[[]],[[]]]]] => [[[[],[[],[]],[],[]]]] => [[[[],[],[[],[]],[]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[[],[],[[[[],[]],[]]]] => [[[[[]],[[]],[],[]]]] => [[[[],[],[[]],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[[],[],[[[[[]]],[]]]] => [[[[],[],[[]],[],[]]]] => [[[[],[],[[]],[],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[[],[],[[[[],[],[]]]]] => [[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[[],[],[[[[],[[]]]]]] => [[[[[],[]],[],[],[]]]] => [[[[],[],[],[[],[]]]]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[[],[],[[[[[]],[]]]]] => [[[[],[[]],[],[],[]]]] => [[[[],[],[],[[]],[]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[[],[],[[[[[],[]]]]]] => [[[[[]],[],[],[],[]]]] => [[[[],[],[],[],[[]]]]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[[],[],[[[[[[]]]]]]] => [[[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[[],[[]],[],[],[],[],[]] => [[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[[],[[]],[],[],[],[[]]] => [[[],[[[[[],[]]]]]]] => [[[[[[[],[]]]]],[]]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[[],[[]],[],[],[[]],[]] => [[[],[[[[],[[]]]]]]] => [[[[[[[]],[]]]],[]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[[],[[]],[],[],[[],[]]] => [[[],[[[[[]],[]]]]]] => [[[[[[],[[]]]]],[]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[[],[[]],[],[],[[[]]]] => [[[],[[[[],[],[]]]]]] => [[[[[[],[],[]]]],[]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[[],[[]],[],[[]],[],[]] => [[[],[[[],[[[]]]]]]] => [[[[[[[]]],[]]],[]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[[],[[]],[],[[]],[[]]] => [[[],[[[],[[],[]]]]]] => [[[[[[],[]],[]]],[]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[[],[[]],[],[[],[]],[]] => [[[],[[[[]],[[]]]]]] => [[[[[[]],[[]]]],[]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[[],[[]],[],[[[]]],[]] => [[[],[[[],[],[[]]]]]] => [[[[[[]],[],[]]],[]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[[],[[]],[],[[],[],[]]] => [[[],[[[[[]]],[]]]]] => [[[[[],[[[]]]]],[]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[[],[[]],[],[[],[[]]]] => [[[],[[[[],[]],[]]]]] => [[[[[],[[],[]]]],[]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[[],[[]],[],[[[]],[]]] => [[[],[[[],[[]],[]]]]] => [[[[[],[[]],[]]],[]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[[],[[]],[],[[[],[]]]] => [[[],[[[[]],[],[]]]]] => [[[[[],[],[[]]]],[]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[[],[[]],[],[[[[]]]]] => [[[],[[[],[],[],[]]]]] => [[[[[],[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[[],[[]],[[]],[],[],[]] => [[[],[[],[[[[]]]]]]] => [[[[[[[]]]],[]],[]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[[],[[]],[[]],[],[[]]] => [[[],[[],[[[],[]]]]]] => [[[[[[],[]]],[]],[]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[[],[[]],[[]],[[]],[]] => [[[],[[],[[],[[]]]]]] => [[[[[[]],[]],[]],[]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[[],[[]],[[]],[[],[]]] => [[[],[[],[[[]],[]]]]] => [[[[[],[[]]],[]],[]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[[],[[]],[[]],[[[]]]] => [[[],[[],[[],[],[]]]]] => [[[[[],[],[]],[]],[]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[[],[[]],[[],[]],[],[]] => [[[],[[[]],[[[]]]]]] => [[[[[[]]],[[]]],[]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[]]],[],[]] => [[[],[[],[],[[[]]]]]] => [[[[[[]]],[],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[[],[[]],[[],[]],[[]]] => [[[],[[[]],[[],[]]]]] => [[[[[],[]],[[]]],[]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[]]],[[]]] => [[[],[[],[],[[],[]]]]] => [[[[[],[]],[],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[[],[[]],[[],[],[]],[]] => [[[],[[[[]]],[[]]]]] => [[[[[]],[[[]]]],[]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[[],[[]],[[],[[]]],[]] => [[[],[[[],[]],[[]]]]] => [[[[[]],[[],[]]],[]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[[],[[]],[[[]],[]],[]] => [[[],[[],[[]],[[]]]]] => [[[[[]],[[]],[]],[]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[[],[[]],[[[],[]]],[]] => [[[],[[[]],[],[[]]]]] => [[[[[]],[],[[]]],[]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[[]]]],[]] => [[[],[[],[],[],[[]]]]] => [[[[[]],[],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[[],[[]],[[],[],[],[]]] => [[[],[[[[[]]]],[]]]] => [[[[],[[[[]]]]],[]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[[],[[]],[[],[],[[]]]] => [[[],[[[[],[]]],[]]]] => [[[[],[[[],[]]]],[]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[[],[[]],[[],[[]],[]]] => [[[],[[[],[[]]],[]]]] => [[[[],[[[]],[]]],[]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[[],[[]],[[],[[],[]]]] => [[[],[[[[]],[]],[]]]] => [[[[],[[],[[]]]],[]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[[],[[]],[[],[[[]]]]] => [[[],[[[],[],[]],[]]]] => [[[[],[[],[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[[],[[]],[[[]],[],[]]] => [[[],[[],[[[]]],[]]]] => [[[[],[[[]]],[]],[]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[[],[[]],[[[]],[[]]]] => [[[],[[],[[],[]],[]]]] => [[[[],[[],[]],[]],[]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[[],[[]],[[[],[]],[]]] => [[[],[[[]],[[]],[]]]] => [[[[],[[]],[[]]],[]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[[]]],[]]] => [[[],[[],[],[[]],[]]]] => [[[[],[[]],[],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[[],[[]],[[[],[],[]]]] => [[[],[[[[]]],[],[]]]] => [[[[],[],[[[]]]],[]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[[],[[]],[[[],[[]]]]] => [[[],[[[],[]],[],[]]]] => [[[[],[],[[],[]]],[]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[[],[[]],[[[[]],[]]]] => [[[],[[],[[]],[],[]]]] => [[[[],[],[[]],[]],[]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[[],[[]],[[[[],[]]]]] => [[[],[[[]],[],[],[]]]] => [[[[],[],[],[[]]],[]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[[],[[]],[[[[[]]]]]] => [[[],[[],[],[],[],[]]]] => [[[[],[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[[],[[],[]],[],[],[],[]] => [[[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]]]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[],[],[]] => [[[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[[],[[],[]],[],[],[[]]] => [[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[],[[]]] => [[[],[],[[[[],[]]]]]] => [[[[[[],[]]]],[],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[[],[[],[]],[],[[]],[]] => [[[[]],[[[],[[]]]]]] => [[[[[[]],[]]],[[]]]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[[]],[]] => [[[],[],[[[],[[]]]]]] => [[[[[[]],[]]],[],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[[],[[],[]],[],[[],[]]] => [[[[]],[[[[]],[]]]]] => [[[[[],[[]]]],[[]]]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[[],[[],[]],[],[[[]]]] => [[[[]],[[[],[],[]]]]] => [[[[[],[],[]]],[[]]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[[],[[[]]],[],[[],[]]] => [[[],[],[[[[]],[]]]]] => [[[[[],[[]]]],[],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[[],[[[]]],[],[[[]]]] => [[[],[],[[[],[],[]]]]] => [[[[[],[],[]]],[],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[[],[[],[]],[[]],[],[]] => [[[[]],[[],[[[]]]]]] => [[[[[[]]],[]],[[]]]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[]],[],[]] => [[[],[],[[],[[[]]]]]] => [[[[[[]]],[]],[],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[[],[[],[]],[[]],[[]]] => [[[[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[]]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[]],[[]]] => [[[],[],[[],[[],[]]]]] => [[[[[],[]],[]],[],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[[],[[],[]],[[],[]],[]] => [[[[]],[[[]],[[]]]]] => [[[[[]],[[]]],[[]]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[[],[[],[]],[[[]]],[]] => [[[[]],[[],[],[[]]]]] => [[[[[]],[],[]],[[]]]] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[],[]],[]] => [[[],[],[[[]],[[]]]]] => [[[[[]],[[]]],[],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[[],[[[]]],[[[]]],[]] => [[[],[],[[],[],[[]]]]] => [[[[[]],[],[]],[],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[[],[[],[]],[[],[],[]]] => [[[[]],[[[[]]],[]]]] => [[[[],[[[]]]],[[]]]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[[],[[],[]],[[],[[]]]] => [[[[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[]]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[[],[[],[]],[[[]],[]]] => [[[[]],[[],[[]],[]]]] => [[[[],[[]],[]],[[]]]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[[],[[],[]],[[[],[]]]] => [[[[]],[[[]],[],[]]]] => [[[[],[],[[]]],[[]]]] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[[],[[],[]],[[[[]]]]] => [[[[]],[[],[],[],[]]]] => [[[[],[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[[],[[[]]],[[],[],[]]] => [[[],[],[[[[]]],[]]]] => [[[[],[[[]]]],[],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[[],[[[]]],[[],[[]]]] => [[[],[],[[[],[]],[]]]] => [[[[],[[],[]]],[],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[[],[[[]]],[[[]],[]]] => [[[],[],[[],[[]],[]]]] => [[[[],[[]],[]],[],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[[],[[[]]],[[[],[]]]] => [[[],[],[[[]],[],[]]]] => [[[[],[],[[]]],[],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[[],[[[]]],[[[[]]]]] => [[[],[],[[],[],[],[]]]] => [[[[],[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[[],[[],[],[]],[],[],[]] => [[[[[]]],[[[[]]]]]] => [[[[[[]]]],[[[]]]]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[],[],[]] => [[[[],[]],[[[[]]]]]] => [[[[[[]]]],[[],[]]]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[],[],[]] => [[[],[[]],[[[[]]]]]] => [[[[[[]]]],[[]],[]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[],[],[]] => [[[[]],[],[[[[]]]]]] => [[[[[[]]]],[],[[]]]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[],[],[]] => [[[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[[],[[],[],[]],[],[[]]] => [[[[[]]],[[[],[]]]]] => [[[[[],[]]],[[[]]]]] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[],[[]]] => [[[[],[]],[[[],[]]]]] => [[[[[],[]]],[[],[]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[],[[]]] => [[[],[[]],[[[],[]]]]] => [[[[[],[]]],[[]],[]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[],[[]]] => [[[[]],[],[[[],[]]]]] => [[[[[],[]]],[],[[]]]] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[],[[]]] => [[[],[],[],[[[],[]]]]] => [[[[[],[]]],[],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[[],[[],[],[]],[[]],[]] => [[[[[]]],[[],[[]]]]] => [[[[[]],[]],[[[]]]]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[[]],[]] => [[[[],[]],[[],[[]]]]] => [[[[[]],[]],[[],[]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[[]],[]] => [[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[[]],[]] => [[[[]],[],[[],[[]]]]] => [[[[[]],[]],[],[[]]]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[[]],[]] => [[[],[],[],[[],[[]]]]] => [[[[[]],[]],[],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[[],[[],[],[]],[[],[]]] => [[[[[]]],[[[]],[]]]] => [[[[],[[]]],[[[]]]]] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[[],[[],[],[]],[[[]]]] => [[[[[]]],[[],[],[]]]] => [[[[],[],[]],[[[]]]]] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[[],[[],[[]]],[[],[]]] => [[[[],[]],[[[]],[]]]] => [[[[],[[]]],[[],[]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[[],[[],[[]]],[[[]]]] => [[[[],[]],[[],[],[]]]] => [[[[],[],[]],[[],[]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[[],[[[]],[]],[[],[]]] => [[[],[[]],[[[]],[]]]] => [[[[],[[]]],[[]],[]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[[],[[[]],[]],[[[]]]] => [[[],[[]],[[],[],[]]]] => [[[[],[],[]],[[]],[]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[[],[[[],[]]],[[],[]]] => [[[[]],[],[[[]],[]]]] => [[[[],[[]]],[],[[]]]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[[],[[[],[]]],[[[]]]] => [[[[]],[],[[],[],[]]]] => [[[[],[],[]],[],[[]]]] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[[],[[[[]]]],[[],[]]] => [[[],[],[],[[[]],[]]]] => [[[[],[[]]],[],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[[],[[[[]]]],[[[]]]] => [[[],[],[],[[],[],[]]]] => [[[[],[],[]],[],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[[],[[],[],[],[]],[],[]] => [[[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[[],[[],[],[[]]],[],[]] => [[[[[],[]]],[[[]]]]] => [[[[[]]],[[[],[]]]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[[],[[],[[]],[]],[],[]] => [[[[],[[]]],[[[]]]]] => [[[[[]]],[[[]],[]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[[],[[],[[],[]]],[],[]] => [[[[[]],[]],[[[]]]]] => [[[[[]]],[[],[[]]]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[[],[[],[[[]]]],[],[]] => [[[[],[],[]],[[[]]]]] => [[[[[]]],[[],[],[]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[[],[[[]],[],[]],[],[]] => [[[],[[[]]],[[[]]]]] => [[[[[]]],[[[]]],[]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[[],[[[]],[[]]],[],[]] => [[[],[[],[]],[[[]]]]] => [[[[[]]],[[],[]],[]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[[],[[[],[]],[]],[],[]] => [[[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[[],[[[[]]],[]],[],[]] => [[[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[[],[[[],[],[]]],[],[]] => [[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[[],[[[],[[]]]],[],[]] => [[[[],[]],[],[[[]]]]] => [[[[[]]],[],[[],[]]]] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[[],[[[[]],[]]],[],[]] => [[[],[[]],[],[[[]]]]] => [[[[[]]],[],[[]],[]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[[],[[[[],[]]]],[],[]] => [[[[]],[],[],[[[]]]]] => [[[[[]]],[],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[]]]]],[],[]] => [[[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[[],[[],[],[],[]],[[]]] => [[[[[[]]]],[[],[]]]] => [[[[],[]],[[[[]]]]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[[],[[],[],[[]]],[[]]] => [[[[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]]]]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[[],[[],[[]],[]],[[]]] => [[[[],[[]]],[[],[]]]] => [[[[],[]],[[[]],[]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[[],[[],[[],[]]],[[]]] => [[[[[]],[]],[[],[]]]] => [[[[],[]],[[],[[]]]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[[],[[],[[[]]]],[[]]] => [[[[],[],[]],[[],[]]]] => [[[[],[]],[[],[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[[],[[[]],[],[]],[[]]] => [[[],[[[]]],[[],[]]]] => [[[[],[]],[[[]]],[]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[[],[[[]],[[]]],[[]]] => [[[],[[],[]],[[],[]]]] => [[[[],[]],[[],[]],[]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[[],[[[],[]],[]],[[]]] => [[[[]],[[]],[[],[]]]] => [[[[],[]],[[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[[],[[[[]]],[]],[[]]] => [[[],[],[[]],[[],[]]]] => [[[[],[]],[[]],[],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[[],[[[],[],[]]],[[]]] => [[[[[]]],[],[[],[]]]] => [[[[],[]],[],[[[]]]]] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[[],[[[],[[]]]],[[]]] => [[[[],[]],[],[[],[]]]] => [[[[],[]],[],[[],[]]]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[[],[[[[]],[]]],[[]]] => [[[],[[]],[],[[],[]]]] => [[[[],[]],[],[[]],[]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[[],[[[[],[]]]],[[]]] => [[[[]],[],[],[[],[]]]] => [[[[],[]],[],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[]]]]],[[]]] => [[[],[],[],[],[[],[]]]] => [[[[],[]],[],[],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[[],[[],[],[],[],[]],[]] => [[[[[[[]]]]],[[]]]] => [[[[]],[[[[[]]]]]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[[],[[],[],[],[[]]],[]] => [[[[[[],[]]]],[[]]]] => [[[[]],[[[[],[]]]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[[],[[],[],[[]],[]],[]] => [[[[[],[[]]]],[[]]]] => [[[[]],[[[[]],[]]]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[[],[[],[],[[],[]]],[]] => [[[[[[]],[]]],[[]]]] => [[[[]],[[[],[[]]]]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[[],[[],[],[[[]]]],[]] => [[[[[],[],[]]],[[]]]] => [[[[]],[[[],[],[]]]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[[],[[],[[]],[],[]],[]] => [[[[],[[[]]]],[[]]]] => [[[[]],[[[[]]],[]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[[],[[],[[]],[[]]],[]] => [[[[],[[],[]]],[[]]]] => [[[[]],[[[],[]],[]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[[],[[],[[],[]],[]],[]] => [[[[[]],[[]]],[[]]]] => [[[[]],[[[]],[[]]]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[[],[[],[[[]]],[]],[]] => [[[[],[],[[]]],[[]]]] => [[[[]],[[[]],[],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[[],[[],[[],[],[]]],[]] => [[[[[[]]],[]],[[]]]] => [[[[]],[[],[[[]]]]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[[],[[],[[],[[]]]],[]] => [[[[[],[]],[]],[[]]]] => [[[[]],[[],[[],[]]]]] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[[],[[],[[[]],[]]],[]] => [[[[],[[]],[]],[[]]]] => [[[[]],[[],[[]],[]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[[],[[],[[[],[]]]],[]] => [[[[[]],[],[]],[[]]]] => [[[[]],[[],[],[[]]]]] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[[],[[],[[[[]]]]],[]] => [[[[],[],[],[]],[[]]]] => [[[[]],[[],[],[],[]]]] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[[],[[[]],[],[],[]],[]] => [[[],[[[[]]]],[[]]]] => [[[[]],[[[[]]]],[]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[[],[[[]],[],[[]]],[]] => [[[],[[[],[]]],[[]]]] => [[[[]],[[[],[]]],[]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[[],[[[]],[[]],[]],[]] => [[[],[[],[[]]],[[]]]] => [[[[]],[[[]],[]],[]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[[],[[[]],[[],[]]],[]] => [[[],[[[]],[]],[[]]]] => [[[[]],[[],[[]]],[]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[[],[[[]],[[[]]]],[]] => [[[],[[],[],[]],[[]]]] => [[[[]],[[],[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[[],[[[],[]],[],[]],[]] => [[[[]],[[[]]],[[]]]] => [[[[]],[[[]]],[[]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[[],[[[[]]],[],[]],[]] => [[[],[],[[[]]],[[]]]] => [[[[]],[[[]]],[],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[[],[[[],[]],[[]]],[]] => [[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[[],[[[[]]],[[]]],[]] => [[[],[],[[],[]],[[]]]] => [[[[]],[[],[]],[],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[[],[[[],[],[]],[]],[]] => [[[[[]]],[[]],[[]]]] => [[[[]],[[]],[[[]]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[[],[[[],[[]]],[]],[]] => [[[[],[]],[[]],[[]]]] => [[[[]],[[]],[[],[]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[[],[[[[]],[]],[]],[]] => [[[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[[],[[[[],[]]],[]],[]] => [[[[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[]]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[[],[[[[[]]]],[]],[]] => [[[],[],[],[[]],[[]]]] => [[[[]],[[]],[],[],[]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[[],[[[],[],[],[]]],[]] => [[[[[[]]]],[],[[]]]] => [[[[]],[],[[[[]]]]]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[[],[[[],[],[[]]]],[]] => [[[[[],[]]],[],[[]]]] => [[[[]],[],[[[],[]]]]] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[[],[[[],[[]],[]]],[]] => [[[[],[[]]],[],[[]]]] => [[[[]],[],[[[]],[]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[[],[[[],[[],[]]]],[]] => [[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[[],[[[],[[[]]]]],[]] => [[[[],[],[]],[],[[]]]] => [[[[]],[],[[],[],[]]]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[[],[[[[]],[],[]]],[]] => [[[],[[[]]],[],[[]]]] => [[[[]],[],[[[]]],[]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[[],[[[[]],[[]]]],[]] => [[[],[[],[]],[],[[]]]] => [[[[]],[],[[],[]],[]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[[],[[[[],[]],[]]],[]] => [[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[[],[[[[[]]],[]]],[]] => [[[],[],[[]],[],[[]]]] => [[[[]],[],[[]],[],[]]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[[],[[[[],[],[]]]],[]] => [[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[[],[[[[],[[]]]]],[]] => [[[[],[]],[],[],[[]]]] => [[[[]],[],[],[[],[]]]] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[[],[[[[[]],[]]]],[]] => [[[],[[]],[],[],[[]]]] => [[[[]],[],[],[[]],[]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[[],[[[[[],[]]]]],[]] => [[[[]],[],[],[],[[]]]] => [[[[]],[],[],[],[[]]]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[[]]]]]],[]] => [[[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[[],[[],[],[],[],[],[]]] => [[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]]] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[],[[],[],[],[],[[]]]] => [[[[[[[],[]]]]],[]]] => [[[],[[[[[],[]]]]]]] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[],[[],[],[],[[]],[]]] => [[[[[[],[[]]]]],[]]] => [[[],[[[[[]],[]]]]]] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[],[[],[],[],[[],[]]]] => [[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[],[[],[],[],[[[]]]]] => [[[[[[],[],[]]]],[]]] => [[[],[[[[],[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[],[[],[],[[]],[],[]]] => [[[[[],[[[]]]]],[]]] => [[[],[[[[[]]],[]]]]] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[],[[],[],[[]],[[]]]] => [[[[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]]]]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[],[[],[],[[],[]],[]]] => [[[[[[]],[[]]]],[]]] => [[[],[[[[]],[[]]]]]] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[],[[],[],[[[]]],[]]] => [[[[[],[],[[]]]],[]]] => [[[],[[[[]],[],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[],[[],[],[[],[],[]]]] => [[[[[[[]]],[]]],[]]] => [[[],[[[],[[[]]]]]]] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[],[[],[],[[],[[]]]]] => [[[[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]]]]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[],[[],[],[[[]],[]]]] => [[[[[],[[]],[]]],[]]] => [[[],[[[],[[]],[]]]]] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[],[[],[],[[[],[]]]]] => [[[[[[]],[],[]]],[]]] => [[[],[[[],[],[[]]]]]] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[],[[],[],[[[[]]]]]] => [[[[[],[],[],[]]],[]]] => [[[],[[[],[],[],[]]]]] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[],[[],[[]],[],[],[]]] => [[[[],[[[[]]]]],[]]] => [[[],[[[[[]]]],[]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[],[[],[[]],[],[[]]]] => [[[[],[[[],[]]]],[]]] => [[[],[[[[],[]]],[]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[],[[],[[]],[[]],[]]] => [[[[],[[],[[]]]],[]]] => [[[],[[[[]],[]],[]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[],[[],[[]],[[],[]]]] => [[[[],[[[]],[]]],[]]] => [[[],[[[],[[]]],[]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[],[[],[[]],[[[]]]]] => [[[[],[[],[],[]]],[]]] => [[[],[[[],[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[],[[],[[],[]],[],[]]] => [[[[[]],[[[]]]],[]]] => [[[],[[[[]]],[[]]]]] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[],[[],[[[]]],[],[]]] => [[[[],[],[[[]]]],[]]] => [[[],[[[[]]],[],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[],[[],[[],[]],[[]]]] => [[[[[]],[[],[]]],[]]] => [[[],[[[],[]],[[]]]]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[],[[],[[[]]],[[]]]] => [[[[],[],[[],[]]],[]]] => [[[],[[[],[]],[],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[],[[],[[],[],[]],[]]] => [[[[[[]]],[[]]],[]]] => [[[],[[[]],[[[]]]]]] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[],[[],[[],[[]]],[]]] => [[[[[],[]],[[]]],[]]] => [[[],[[[]],[[],[]]]]] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[],[[],[[[]],[]],[]]] => [[[[],[[]],[[]]],[]]] => [[[],[[[]],[[]],[]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[],[[],[[[],[]]],[]]] => [[[[[]],[],[[]]],[]]] => [[[],[[[]],[],[[]]]]] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[],[[],[[[[]]]],[]]] => [[[[],[],[],[[]]],[]]] => [[[],[[[]],[],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[],[[],[[],[],[],[]]]] => [[[[[[[]]]],[]],[]]] => [[[],[[],[[[[]]]]]]] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[],[[],[[],[],[[]]]]] => [[[[[[],[]]],[]],[]]] => [[[],[[],[[[],[]]]]]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[],[[],[[],[[]],[]]]] => [[[[[],[[]]],[]],[]]] => [[[],[[],[[[]],[]]]]] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[],[[],[[],[[],[]]]]] => [[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[],[[],[[],[[[]]]]]] => [[[[[],[],[]],[]],[]]] => [[[],[[],[[],[],[]]]]] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[],[[],[[[]],[],[]]]] => [[[[],[[[]]],[]],[]]] => [[[],[[],[[[]]],[]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[],[[],[[[]],[[]]]]] => [[[[],[[],[]],[]],[]]] => [[[],[[],[[],[]],[]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[],[[],[[[],[]],[]]]] => [[[[[]],[[]],[]],[]]] => [[[],[[],[[]],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[],[[],[[[[]]],[]]]] => [[[[],[],[[]],[]],[]]] => [[[],[[],[[]],[],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[],[[],[[[],[],[]]]]] => [[[[[[]]],[],[]],[]]] => [[[],[[],[],[[[]]]]]] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[],[[],[[[],[[]]]]]] => [[[[[],[]],[],[]],[]]] => [[[],[[],[],[[],[]]]]] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[],[[],[[[[]],[]]]]] => [[[[],[[]],[],[]],[]]] => [[[],[[],[],[[]],[]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[],[[],[[[[],[]]]]]] => [[[[[]],[],[],[]],[]]] => [[[],[[],[],[],[[]]]]] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[[],[[],[[[[[]]]]]]] => [[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[],[[[]],[],[],[],[]]] => [[[],[[[[[]]]]],[]]] => [[[],[[[[[]]]]],[]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[],[[[]],[],[],[[]]]] => [[[],[[[[],[]]]],[]]] => [[[],[[[[],[]]]],[]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[],[[[]],[],[[]],[]]] => [[[],[[[],[[]]]],[]]] => [[[],[[[[]],[]]],[]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[],[[[]],[],[[],[]]]] => [[[],[[[[]],[]]],[]]] => [[[],[[[],[[]]]],[]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[],[[[]],[],[[[]]]]] => [[[],[[[],[],[]]],[]]] => [[[],[[[],[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[],[[[]],[[]],[],[]]] => [[[],[[],[[[]]]],[]]] => [[[],[[[[]]],[]],[]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[],[[[]],[[]],[[]]]] => [[[],[[],[[],[]]],[]]] => [[[],[[[],[]],[]],[]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[],[[[]],[[],[]],[]]] => [[[],[[[]],[[]]],[]]] => [[[],[[[]],[[]]],[]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[],[[[]],[[[]]],[]]] => [[[],[[],[],[[]]],[]]] => [[[],[[[]],[],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[],[[[]],[[],[],[]]]] => [[[],[[[[]]],[]],[]]] => [[[],[[],[[[]]]],[]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[],[[[]],[[],[[]]]]] => [[[],[[[],[]],[]],[]]] => [[[],[[],[[],[]]],[]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[],[[[]],[[[]],[]]]] => [[[],[[],[[]],[]],[]]] => [[[],[[],[[]],[]],[]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[],[[[]],[[[],[]]]]] => [[[],[[[]],[],[]],[]]] => [[[],[[],[],[[]]],[]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[],[[[]],[[[[]]]]]] => [[[],[[],[],[],[]],[]]] => [[[],[[],[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[],[[[],[]],[],[],[]]] => [[[[]],[[[[]]]],[]]] => [[[],[[[[]]]],[[]]]] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[],[[[[]]],[],[],[]]] => [[[],[],[[[[]]]],[]]] => [[[],[[[[]]]],[],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[],[[[],[]],[],[[]]]] => [[[[]],[[[],[]]],[]]] => [[[],[[[],[]]],[[]]]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[],[[[[]]],[],[[]]]] => [[[],[],[[[],[]]],[]]] => [[[],[[[],[]]],[],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[],[[[],[]],[[]],[]]] => [[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[],[[[[]]],[[]],[]]] => [[[],[],[[],[[]]],[]]] => [[[],[[[]],[]],[],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[],[[[],[]],[[],[]]]] => [[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[],[[[],[]],[[[]]]]] => [[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[],[[[[]]],[[],[]]]] => [[[],[],[[[]],[]],[]]] => [[[],[[],[[]]],[],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[],[[[[]]],[[[]]]]] => [[[],[],[[],[],[]],[]]] => [[[],[[],[],[]],[],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[],[[[],[],[]],[],[]]] => [[[[[]]],[[[]]],[]]] => [[[],[[[]]],[[[]]]]] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[],[[[],[[]]],[],[]]] => [[[[],[]],[[[]]],[]]] => [[[],[[[]]],[[],[]]]] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[],[[[[]],[]],[],[]]] => [[[],[[]],[[[]]],[]]] => [[[],[[[]]],[[]],[]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[],[[[[],[]]],[],[]]] => [[[[]],[],[[[]]],[]]] => [[[],[[[]]],[],[[]]]] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[],[[[[[]]]],[],[]]] => [[[],[],[],[[[]]],[]]] => [[[],[[[]]],[],[],[]]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[],[[[],[],[]],[[]]]] => [[[[[]]],[[],[]],[]]] => [[[],[[],[]],[[[]]]]] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[],[[[],[[]]],[[]]]] => [[[[],[]],[[],[]],[]]] => [[[],[[],[]],[[],[]]]] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[],[[[[]],[]],[[]]]] => [[[],[[]],[[],[]],[]]] => [[[],[[],[]],[[]],[]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[],[[[[],[]]],[[]]]] => [[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[],[[[[[]]]],[[]]]] => [[[],[],[],[[],[]],[]]] => [[[],[[],[]],[],[],[]]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[],[[[],[],[],[]],[]]] => [[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[],[[[],[],[[]]],[]]] => [[[[[],[]]],[[]],[]]] => [[[],[[]],[[[],[]]]]] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[],[[[],[[]],[]],[]]] => [[[[],[[]]],[[]],[]]] => [[[],[[]],[[[]],[]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[],[[[],[[],[]]],[]]] => [[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[],[[[],[[[]]]],[]]] => [[[[],[],[]],[[]],[]]] => [[[],[[]],[[],[],[]]]] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[],[[[[]],[],[]],[]]] => [[[],[[[]]],[[]],[]]] => [[[],[[]],[[[]]],[]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[],[[[[]],[[]]],[]]] => [[[],[[],[]],[[]],[]]] => [[[],[[]],[[],[]],[]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[],[[[[],[]],[]],[]]] => [[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[],[[[[[]]],[]],[]]] => [[[],[],[[]],[[]],[]]] => [[[],[[]],[[]],[],[]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[],[[[[],[],[]]],[]]] => [[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[],[[[[],[[]]]],[]]] => [[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[],[[[[[]],[]]],[]]] => [[[],[[]],[],[[]],[]]] => [[[],[[]],[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[],[[[[[],[]]]],[]]] => [[[[]],[],[],[[]],[]]] => [[[],[[]],[],[],[[]]]] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[[]]]]],[]]] => [[[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[],[[[],[],[],[],[]]]] => [[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[],[[[],[],[],[[]]]]] => [[[[[[],[]]]],[],[]]] => [[[],[],[[[[],[]]]]]] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[],[[[],[],[[]],[]]]] => [[[[[],[[]]]],[],[]]] => [[[],[],[[[[]],[]]]]] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[],[[[],[],[[],[]]]]] => [[[[[[]],[]]],[],[]]] => [[[],[],[[[],[[]]]]]] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[],[[[],[],[[[]]]]]] => [[[[[],[],[]]],[],[]]] => [[[],[],[[[],[],[]]]]] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[],[[[],[[]],[],[]]]] => [[[[],[[[]]]],[],[]]] => [[[],[],[[[[]]],[]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[],[[[],[[]],[[]]]]] => [[[[],[[],[]]],[],[]]] => [[[],[],[[[],[]],[]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[],[[[],[[],[]],[]]]] => [[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[],[[[],[[[]]],[]]]] => [[[[],[],[[]]],[],[]]] => [[[],[],[[[]],[],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[],[[[],[[],[],[]]]]] => [[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[],[[[],[[],[[]]]]]] => [[[[[],[]],[]],[],[]]] => [[[],[],[[],[[],[]]]]] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[],[[[],[[[]],[]]]]] => [[[[],[[]],[]],[],[]]] => [[[],[],[[],[[]],[]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[],[[[],[[[],[]]]]]] => [[[[[]],[],[]],[],[]]] => [[[],[],[[],[],[[]]]]] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[[],[[[],[[[[]]]]]]] => [[[[],[],[],[]],[],[]]] => [[[],[],[[],[],[],[]]]] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[],[[[[]],[],[],[]]]] => [[[],[[[[]]]],[],[]]] => [[[],[],[[[[]]]],[]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[],[[[[]],[],[[]]]]] => [[[],[[[],[]]],[],[]]] => [[[],[],[[[],[]]],[]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[],[[[[]],[[]],[]]]] => [[[],[[],[[]]],[],[]]] => [[[],[],[[[]],[]],[]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[],[[[[]],[[],[]]]]] => [[[],[[[]],[]],[],[]]] => [[[],[],[[],[[]]],[]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[],[[[[]],[[[]]]]]] => [[[],[[],[],[]],[],[]]] => [[[],[],[[],[],[]],[]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[],[[[[],[]],[],[]]]] => [[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[],[[[[[]]],[],[]]]] => [[[],[],[[[]]],[],[]]] => [[[],[],[[[]]],[],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[],[[[[],[]],[[]]]]] => [[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[],[[[[[]]],[[]]]]] => [[[],[],[[],[]],[],[]]] => [[[],[],[[],[]],[],[]]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[],[[[[],[],[]],[]]]] => [[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[],[[[[],[[]]],[]]]] => [[[[],[]],[[]],[],[]]] => [[[],[],[[]],[[],[]]]] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[],[[[[[]],[]],[]]]] => [[[],[[]],[[]],[],[]]] => [[[],[],[[]],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[],[[[[[],[]]],[]]]] => [[[[]],[],[[]],[],[]]] => [[[],[],[[]],[],[[]]]] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[],[[[[[[]]]],[]]]] => [[[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[]]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[],[[[[],[],[],[]]]]] => [[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[],[[[[],[],[[]]]]]] => [[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[],[[[[],[[]],[]]]]] => [[[[],[[]]],[],[],[]]] => [[[],[],[],[[[]],[]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[],[[[[],[[],[]]]]]] => [[[[[]],[]],[],[],[]]] => [[[],[],[],[[],[[]]]]] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[],[[[[],[[[]]]]]]] => [[[[],[],[]],[],[],[]]] => [[[],[],[],[[],[],[]]]] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[],[[[[[]],[],[]]]]] => [[[],[[[]]],[],[],[]]] => [[[],[],[],[[[]]],[]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[],[[[[[]],[[]]]]]] => [[[],[[],[]],[],[],[]]] => [[[],[],[],[[],[]],[]]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[],[[[[[],[]],[]]]]] => [[[[]],[[]],[],[],[]]] => [[[],[],[],[[]],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[],[[[[[[]]],[]]]]] => [[[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[]]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[],[[[[[],[],[]]]]]] => [[[[[]]],[],[],[],[]]] => [[[],[],[],[],[[[]]]]] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[],[[[[[],[[]]]]]]] => [[[[],[]],[],[],[],[]]] => [[[],[],[],[],[[],[]]]] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[],[[[[[[]],[]]]]]] => [[[],[[]],[],[],[],[]]] => [[[],[],[],[],[[]],[]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[],[[[[[[],[]]]]]]] => [[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[],[[[[[[[]]]]]]]] => [[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[]],[],[],[],[],[],[]] => [[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[[[]],[],[],[],[],[[]]] => [[],[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]],[]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[[[]],[],[],[],[[]],[]] => [[],[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]],[]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[[[]],[],[],[],[[],[]]] => [[],[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]],[]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[[[]],[],[],[],[[[]]]] => [[],[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]],[]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[[[]],[],[],[[]],[],[]] => [[],[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]],[]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[[[]],[],[],[[]],[[]]] => [[],[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[[[]],[],[],[[],[]],[]] => [[],[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]],[]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[[[]],[],[],[[[]]],[]] => [[],[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]],[]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[[[]],[],[],[[],[],[]]] => [[],[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]],[]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[[[]],[],[],[[],[[]]]] => [[],[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]],[]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[[[]],[],[],[[[]],[]]] => [[],[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]],[]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[[[]],[],[],[[[],[]]]] => [[],[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]],[]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[[[]],[],[],[[[[]]]]] => [[],[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]],[]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[[[]],[],[[]],[],[],[]] => [[],[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]],[]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[[[]],[],[[]],[],[[]]] => [[],[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]],[]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[[[]],[],[[]],[[]],[]] => [[],[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]],[]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[[[]],[],[[]],[[],[]]] => [[],[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]],[]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[[[]],[],[[]],[[[]]]] => [[],[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]],[]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[[[]],[],[[],[]],[],[]] => [[],[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]],[]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[]]],[],[]] => [[],[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[[[]],[],[[],[]],[[]]] => [[],[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]],[]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[]]],[[]]] => [[],[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[[[]],[],[[],[],[]],[]] => [[],[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]],[]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[[[]],[],[[],[[]]],[]] => [[],[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]],[]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[[[]],[],[[[]],[]],[]] => [[],[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]],[]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[[[]],[],[[[],[]]],[]] => [[],[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]],[]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[[]]]],[]] => [[],[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[[[]],[],[[],[],[],[]]] => [[],[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]],[]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[[[]],[],[[],[],[[]]]] => [[],[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]],[]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[[[]],[],[[],[[]],[]]] => [[],[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]],[]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[[[]],[],[[],[[],[]]]] => [[],[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]],[]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[[[]],[],[[],[[[]]]]] => [[],[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[[[]],[],[[[]],[],[]]] => [[],[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]],[]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[[[]],[],[[[]],[[]]]] => [[],[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]],[]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[[[]],[],[[[],[]],[]]] => [[],[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]],[]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[[]]],[]]] => [[],[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[[[]],[],[[[],[],[]]]] => [[],[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]],[]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[[[]],[],[[[],[[]]]]] => [[],[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]],[]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[[[]],[],[[[[]],[]]]] => [[],[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]],[]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[[[]],[],[[[[],[]]]]] => [[],[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]],[]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[[[]],[],[[[[[]]]]]] => [[],[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]],[]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[[[]],[[]],[],[],[],[]] => [[],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[[[]],[[]],[],[],[[]]] => [[],[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]],[]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[[[]],[[]],[],[[]],[]] => [[],[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]],[]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[],[[],[]]] => [[],[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]],[]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[[[]],[[]],[],[[[]]]] => [[],[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]],[]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[]],[],[]] => [[],[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]],[]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[[[]],[[]],[[]],[[]]] => [[],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[[[]],[[]],[[],[]],[]] => [[],[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]],[]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[[]]],[]] => [[],[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]],[]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[[[]],[[]],[[],[],[]]] => [[],[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]],[]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[[[]],[[]],[[],[[]]]] => [[],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[[]],[]]] => [[],[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]],[]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[[[]],[[]],[[[],[]]]] => [[],[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]],[]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[[[]],[[]],[[[[]]]]] => [[],[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]],[]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[[[]],[[],[]],[],[],[]] => [[],[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]],[]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[],[],[]] => [[],[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[[[]],[[],[]],[],[[]]] => [[],[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]],[]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[],[[]]] => [[],[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[[[]],[[],[]],[[]],[]] => [[],[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]],[]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[[]],[]] => [[],[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[[[]],[[],[]],[[],[]]] => [[],[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]],[]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[[[]],[[],[]],[[[]]]] => [[],[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]],[]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[]]],[[],[]]] => [[],[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[[[]],[[[]]],[[[]]]] => [[],[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]],[]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[[[]],[[],[],[]],[],[]] => [[],[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]],[]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[[[]],[[],[[]]],[],[]] => [[],[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]],[]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[]],[]],[],[]] => [[],[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]],[]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[],[]]],[],[]] => [[],[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]],[]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[]]]],[],[]] => [[],[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]],[]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[[[]],[[],[],[]],[[]]] => [[],[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]],[]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[[[]],[[],[[]]],[[]]] => [[],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[]],[]],[[]]] => [[],[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]],[]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[],[]]],[[]]] => [[],[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]],[]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[]]]],[[]]] => [[],[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]],[]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[[[]],[[],[],[],[]],[]] => [[],[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]],[]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[[[]],[[],[],[[]]],[]] => [[],[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]],[]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[[[]],[[],[[]],[]],[]] => [[],[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]],[]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[[[]],[[],[[],[]]],[]] => [[],[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]],[]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[[[]],[[],[[[]]]],[]] => [[],[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]],[]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[[[]],[[[]],[],[]],[]] => [[],[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]],[]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[[[]],[[[]],[[]]],[]] => [[],[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]],[]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[[[]],[[[],[]],[]],[]] => [[],[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[[]]],[]],[]] => [[],[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]],[]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[[[]],[[[],[],[]]],[]] => [[],[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]],[]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[[[]],[[[],[[]]]],[]] => [[],[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]],[]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[[]],[]]],[]] => [[],[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]],[]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[[],[]]]],[]] => [[],[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]],[]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[[]]]]],[]] => [[],[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]],[]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[[[]],[[],[],[],[],[]]] => [[],[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]],[]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[]],[[],[],[],[[]]]] => [[],[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[]],[[],[],[[]],[]]] => [[],[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]],[]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[]],[[],[],[[],[]]]] => [[],[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]],[]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[]],[[],[],[[[]]]]] => [[],[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[[]],[[],[[]],[],[]]] => [[],[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]],[]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[]],[[],[[]],[[]]]] => [[],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[]],[[],[[],[]],[]]] => [[],[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]],[]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[]],[[],[[[]]],[]]] => [[],[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[]],[[],[[],[],[]]]] => [[],[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]],[]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[]],[[],[[],[[]]]]] => [[],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[]],[[],[[[]],[]]]] => [[],[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]],[]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[]],[[],[[[],[]]]]] => [[],[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]],[]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[[]],[[],[[[[]]]]]] => [[],[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]],[]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[[]],[[[]],[],[],[]]] => [[],[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]],[]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[]],[[[]],[],[[]]]] => [[],[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]],[]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[]],[[[]],[[]],[]]] => [[],[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]],[]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[]],[[[]],[[],[]]]] => [[],[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]],[]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[]],[[[]],[[[]]]]] => [[],[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]],[]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[]],[[[],[]],[],[]]] => [[],[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]],[]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[[]],[[[[]]],[],[]]] => [[],[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]],[]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[[]],[[[],[]],[[]]]] => [[],[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]],[]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[[]]],[[]]]] => [[],[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]],[]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[]],[[[],[],[]],[]]] => [[],[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]],[]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[[]],[[[],[[]]],[]]] => [[],[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]],[]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[[]],[]],[]]] => [[],[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]],[]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[[],[]]],[]]] => [[],[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]],[]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[[]]]],[]]] => [[],[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]],[]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[[]],[[[],[],[],[]]]] => [[],[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]],[]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[]],[[[],[],[[]]]]] => [[],[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]],[]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[[]],[[[],[[]],[]]]] => [[],[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]],[]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[[]],[[[],[[],[]]]]] => [[],[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]],[]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[[]],[[[],[[[]]]]]] => [[],[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]],[]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[[]],[[[[]],[],[]]]] => [[],[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]],[]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[[]],[[[[]],[[]]]]] => [[],[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]],[]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[[]],[[[[],[]],[]]]] => [[],[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]],[]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[[]],[[[[[]]],[]]]] => [[],[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]],[]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[[]],[[[[],[],[]]]]] => [[],[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]],[]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[[]],[[[[],[[]]]]]] => [[],[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]],[]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[[]],[[[[[]],[]]]]] => [[],[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]],[]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[[]],[[[[[],[]]]]]] => [[],[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]],[]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[[]],[[[[[[]]]]]]] => [[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[],[]],[],[],[],[],[]] => [[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[],[],[]] => [[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[[[],[]],[],[],[],[[]]] => [[[]],[[[[[],[]]]]]] => [[[[[[],[]]]]],[[]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[],[[]]] => [[],[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[[[],[]],[],[],[[]],[]] => [[[]],[[[[],[[]]]]]] => [[[[[[]],[]]]],[[]]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[[]],[]] => [[],[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[[[],[]],[],[],[[],[]]] => [[[]],[[[[[]],[]]]]] => [[[[[],[[]]]]],[[]]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[[[],[]],[],[],[[[]]]] => [[[]],[[[[],[],[]]]]] => [[[[[],[],[]]]],[[]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[[[[]]],[],[],[[],[]]] => [[],[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[[[[]]],[],[],[[[]]]] => [[],[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[[[],[]],[],[[]],[],[]] => [[[]],[[[],[[[]]]]]] => [[[[[[]]],[]]],[[]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[]],[],[]] => [[],[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[[[],[]],[],[[]],[[]]] => [[[]],[[[],[[],[]]]]] => [[[[[],[]],[]]],[[]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[]],[[]]] => [[],[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[[[],[]],[],[[],[]],[]] => [[[]],[[[[]],[[]]]]] => [[[[[]],[[]]]],[[]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[],[[[]]],[]] => [[[]],[[[],[],[[]]]]] => [[[[[]],[],[]]],[[]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[],[]],[]] => [[],[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[],[[[]]],[]] => [[],[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[[[],[]],[],[[],[],[]]] => [[[]],[[[[[]]],[]]]] => [[[[],[[[]]]]],[[]]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[[[],[]],[],[[],[[]]]] => [[[]],[[[[],[]],[]]]] => [[[[],[[],[]]]],[[]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[[[],[]],[],[[[]],[]]] => [[[]],[[[],[[]],[]]]] => [[[[],[[]],[]]],[[]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[[[],[]],[],[[[],[]]]] => [[[]],[[[[]],[],[]]]] => [[[[],[],[[]]]],[[]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[],[[[[]]]]] => [[[]],[[[],[],[],[]]]] => [[[[],[],[],[]]],[[]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[[[[]]],[],[[],[],[]]] => [[],[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[]]],[],[[],[[]]]] => [[],[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[]]],[],[[[]],[]]] => [[],[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[]]],[],[[[],[]]]] => [[],[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[],[]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[],[[[[]]]]] => [[],[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[],[]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[[[],[]],[[]],[],[],[]] => [[[]],[[],[[[[]]]]]] => [[[[[[]]]],[]],[[]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[],[],[]] => [[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[[[],[]],[[]],[],[[]]] => [[[]],[[],[[[],[]]]]] => [[[[[],[]]],[]],[[]]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[],[[]]] => [[],[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[[[],[]],[[]],[[]],[]] => [[[]],[[],[[],[[]]]]] => [[[[[]],[]],[]],[[]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[[]],[]] => [[],[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[[[],[]],[[]],[[],[]]] => [[[]],[[],[[[]],[]]]] => [[[[],[[]]],[]],[[]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[[[],[]],[[]],[[[]]]] => [[[]],[[],[[],[],[]]]] => [[[[],[],[]],[]],[[]]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[]]],[[]],[[],[]]] => [[],[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[]]],[[]],[[[]]]] => [[],[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[],[]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[[[],[]],[[],[]],[],[]] => [[[]],[[[]],[[[]]]]] => [[[[[]]],[[]]],[[]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[]]],[],[]] => [[[]],[[],[],[[[]]]]] => [[[[[]]],[],[]],[[]]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[]],[],[]] => [[],[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[],[]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[]]],[],[]] => [[],[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[],[]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[[[],[]],[[],[]],[[]]] => [[[]],[[[]],[[],[]]]] => [[[[],[]],[[]]],[[]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[]]],[[]]] => [[[]],[[],[],[[],[]]]] => [[[[],[]],[],[]],[[]]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[]],[[]]] => [[],[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[],[]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[]]],[[]]] => [[],[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[],[]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[[[],[]],[[],[],[]],[]] => [[[]],[[[[]]],[[]]]] => [[[[]],[[[]]]],[[]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[[],[[]]],[]] => [[[]],[[[],[]],[[]]]] => [[[[]],[[],[]]],[[]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[[[],[]],[[[]],[]],[]] => [[[]],[[],[[]],[[]]]] => [[[[]],[[]],[]],[[]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[[[],[]],[[[],[]]],[]] => [[[]],[[[]],[],[[]]]] => [[[[]],[],[[]]],[[]]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[[]]]],[]] => [[[]],[[],[],[],[[]]]] => [[[[]],[],[],[]],[[]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[],[]],[]] => [[],[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[],[]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[[],[[]]],[]] => [[],[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[],[]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[[[[]]],[[[]],[]],[]] => [[],[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[],[]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[[[[]]],[[[],[]]],[]] => [[],[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[],[]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[[]]]],[]] => [[],[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[],[]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[[[],[]],[[],[],[],[]]] => [[[]],[[[[[]]]],[]]] => [[[],[[[[]]]]],[[]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[],[]],[[],[],[[]]]] => [[[]],[[[[],[]]],[]]] => [[[],[[[],[]]]],[[]]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[],[]],[[],[[]],[]]] => [[[]],[[[],[[]]],[]]] => [[[],[[[]],[]]],[[]]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[],[]],[[],[[],[]]]] => [[[]],[[[[]],[]],[]]] => [[[],[[],[[]]]],[[]]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[[],[[[]]]]] => [[[]],[[[],[],[]],[]]] => [[[],[[],[],[]]],[[]]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[],[]],[[[]],[],[]]] => [[[]],[[],[[[]]],[]]] => [[[],[[[]]],[]],[[]]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[[],[]],[[[]],[[]]]] => [[[]],[[],[[],[]],[]]] => [[[],[[],[]],[]],[[]]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[],[]],[[[],[]],[]]] => [[[]],[[[]],[[]],[]]] => [[[],[[]],[[]]],[[]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[[]]],[]]] => [[[]],[[],[],[[]],[]]] => [[[],[[]],[],[]],[[]]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[],[]],[[[],[],[]]]] => [[[]],[[[[]]],[],[]]] => [[[],[],[[[]]]],[[]]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[],[]],[[[],[[]]]]] => [[[]],[[[],[]],[],[]]] => [[[],[],[[],[]]],[[]]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[[],[]],[[[[]],[]]]] => [[[]],[[],[[]],[],[]]] => [[[],[],[[]],[]],[[]]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[[],[]],[[[[],[]]]]] => [[[]],[[[]],[],[],[]]] => [[[],[],[],[[]]],[[]]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[[],[]],[[[[[]]]]]] => [[[]],[[],[],[],[],[]]] => [[[],[],[],[],[]],[[]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[]]],[[],[],[],[]]] => [[],[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[]]],[[],[],[[]]]] => [[],[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[],[]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[]]],[[],[[]],[]]] => [[],[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[]]],[[],[[],[]]]] => [[],[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[],[]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[[],[[[]]]]] => [[],[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[],[]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[[]]],[[[]],[],[]]] => [[],[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[],[]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[]]],[[[]],[[]]]] => [[],[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[],[]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[[]]],[[[],[]],[]]] => [[],[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[],[]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[[]]],[]]] => [[],[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[],[]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[[]]],[[[],[],[]]]] => [[],[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[],[]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[[]]],[[[],[[]]]]] => [[],[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[],[]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[[]]],[[[[]],[]]]] => [[],[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[],[]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[[]]],[[[[],[]]]]] => [[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[]]],[[[[[]]]]]] => [[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[],[],[]],[],[],[],[]] => [[[[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[]]]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[],[],[]] => [[[],[]],[[[[[]]]]]] => [[[[[[]]]]],[[],[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[],[],[]] => [[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[],[],[]] => [[[]],[],[[[[[]]]]]] => [[[[[[]]]]],[],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[],[],[]] => [[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[],[],[[]]] => [[[[]]],[[[[],[]]]]] => [[[[[],[]]]],[[[]]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[],[[]]] => [[[],[]],[[[[],[]]]]] => [[[[[],[]]]],[[],[]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[],[[]]] => [[],[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]],[]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[],[[]]] => [[[]],[],[[[[],[]]]]] => [[[[[],[]]]],[],[[]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[],[[]]] => [[],[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[],[[]],[]] => [[[[]]],[[[],[[]]]]] => [[[[[]],[]]],[[[]]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[[]],[]] => [[[],[]],[[[],[[]]]]] => [[[[[]],[]]],[[],[]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[[]],[]] => [[],[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]],[]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[[]],[]] => [[[]],[],[[[],[[]]]]] => [[[[[]],[]]],[],[[]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[[]],[]] => [[],[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[],[]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[],[[],[]]] => [[[[]]],[[[[]],[]]]] => [[[[],[[]]]],[[[]]]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[[[],[],[]],[],[[[]]]] => [[[[]]],[[[],[],[]]]] => [[[[],[],[]]],[[[]]]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[[[],[[]]],[],[[],[]]] => [[[],[]],[[[[]],[]]]] => [[[[],[[]]]],[[],[]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[[[],[[]]],[],[[[]]]] => [[[],[]],[[[],[],[]]]] => [[[[],[],[]]],[[],[]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[[[[]],[]],[],[[],[]]] => [[],[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]],[]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[]],[]],[],[[[]]]] => [[],[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]],[]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[[[[],[]]],[],[[],[]]] => [[[]],[],[[[[]],[]]]] => [[[[],[[]]]],[],[[]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[],[]]],[],[[[]]]] => [[[]],[],[[[],[],[]]]] => [[[[],[],[]]],[],[[]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[[[[[]]]],[],[[],[]]] => [[],[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[],[]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[[]]]],[],[[[]]]] => [[],[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[],[]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[[[],[],[]],[[]],[],[]] => [[[[]]],[[],[[[]]]]] => [[[[[]]],[]],[[[]]]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[]],[],[]] => [[[],[]],[[],[[[]]]]] => [[[[[]]],[]],[[],[]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[[]],[],[]] => [[],[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[[]],[],[]] => [[[]],[],[[],[[[]]]]] => [[[[[]]],[]],[],[[]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[]],[],[]] => [[],[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[],[]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[[[],[],[]],[[]],[[]]] => [[[[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[]],[[]]] => [[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[[]],[[]]] => [[],[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[[]],[[]]] => [[[]],[],[[],[[],[]]]] => [[[[],[]],[]],[],[[]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[]],[[]]] => [[],[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[],[]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[[[],[],[]],[[],[]],[]] => [[[[]]],[[[]],[[]]]] => [[[[]],[[]]],[[[]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[[[],[],[]],[[[]]],[]] => [[[[]]],[[],[],[[]]]] => [[[[]],[],[]],[[[]]]] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[],[]],[]] => [[[],[]],[[[]],[[]]]] => [[[[]],[[]]],[[],[]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[[[],[[]]],[[[]]],[]] => [[[],[]],[[],[],[[]]]] => [[[[]],[],[]],[[],[]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[[],[]],[]] => [[],[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]],[]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[[[[]],[]],[[[]]],[]] => [[],[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[[],[]],[]] => [[[]],[],[[[]],[[]]]] => [[[[]],[[]]],[],[[]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[[[[],[]]],[[[]]],[]] => [[[]],[],[[],[],[[]]]] => [[[[]],[],[]],[],[[]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[],[]],[]] => [[],[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[],[]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[]]]],[[[]]],[]] => [[],[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[],[]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[[[],[],[]],[[],[],[]]] => [[[[]]],[[[[]]],[]]] => [[[],[[[]]]],[[[]]]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[],[],[]],[[],[[]]]] => [[[[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[]]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[],[],[]],[[[]],[]]] => [[[[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[],[],[]],[[[],[]]]] => [[[[]]],[[[]],[],[]]] => [[[],[],[[]]],[[[]]]] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[],[],[]],[[[[]]]]] => [[[[]]],[[],[],[],[]]] => [[[],[],[],[]],[[[]]]] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[[],[[]]],[[],[],[]]] => [[[],[]],[[[[]]],[]]] => [[[],[[[]]]],[[],[]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[],[[]]],[[],[[]]]] => [[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[],[[]]],[[[]],[]]] => [[[],[]],[[],[[]],[]]] => [[[],[[]],[]],[[],[]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[[],[[]]],[[[],[]]]] => [[[],[]],[[[]],[],[]]] => [[[],[],[[]]],[[],[]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[[],[[]]],[[[[]]]]] => [[[],[]],[[],[],[],[]]] => [[[],[],[],[]],[[],[]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[]],[]],[[],[],[]]] => [[],[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]],[]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[]],[]],[[],[[]]]] => [[],[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]],[]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[[]],[]],[[[]],[]]] => [[],[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[]],[]],[[[],[]]]] => [[],[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]],[]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[[]],[]],[[[[]]]]] => [[],[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[],[]]],[[],[],[]]] => [[[]],[],[[[[]]],[]]] => [[[],[[[]]]],[],[[]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[],[]]],[[],[[]]]] => [[[]],[],[[[],[]],[]]] => [[[],[[],[]]],[],[[]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[[[],[]]],[[[]],[]]] => [[[]],[],[[],[[]],[]]] => [[[],[[]],[]],[],[[]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[[],[]]],[[[],[]]]] => [[[]],[],[[[]],[],[]]] => [[[],[],[[]]],[],[[]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[[[],[]]],[[[[]]]]] => [[[]],[],[[],[],[],[]]] => [[[],[],[],[]],[],[[]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[]]]],[[],[],[]]] => [[],[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[],[]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[[]]]],[[],[[]]]] => [[],[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[],[]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[[]]]],[[[]],[]]] => [[],[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[],[]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[[[]]]],[[[],[]]]] => [[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[]]]],[[[[]]]]] => [[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[],[],[],[]],[],[],[]] => [[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[],[],[]] => [[[[],[]]],[[[[]]]]] => [[[[[]]]],[[[],[]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[],[],[]] => [[[],[[]]],[[[[]]]]] => [[[[[]]]],[[[]],[]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[],[],[]] => [[[[]],[]],[[[[]]]]] => [[[[[]]]],[[],[[]]]] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[],[],[]] => [[[],[],[]],[[[[]]]]] => [[[[[]]]],[[],[],[]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[],[],[]] => [[],[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]],[]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[],[],[]] => [[],[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]],[]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[],[],[]] => [[[]],[[]],[[[[]]]]] => [[[[[]]]],[[]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[],[],[]] => [[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[],[],[]] => [[[[]]],[],[[[[]]]]] => [[[[[]]]],[],[[[]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[],[],[]] => [[[],[]],[],[[[[]]]]] => [[[[[]]]],[],[[],[]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[],[],[]] => [[],[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]],[]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[],[],[]] => [[[]],[],[],[[[[]]]]] => [[[[[]]]],[],[],[[]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[],[],[]] => [[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[]],[],[[]]] => [[[[[]]]],[[[],[]]]] => [[[[],[]]],[[[[]]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[],[[]]] => [[[[],[]]],[[[],[]]]] => [[[[],[]]],[[[],[]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[],[[]]] => [[[],[[]]],[[[],[]]]] => [[[[],[]]],[[[]],[]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[],[[]]] => [[[[]],[]],[[[],[]]]] => [[[[],[]]],[[],[[]]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[],[[]]] => [[[],[],[]],[[[],[]]]] => [[[[],[]]],[[],[],[]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[],[[]]] => [[],[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]],[]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[],[[]]] => [[],[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]],[]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[],[[]]] => [[[]],[[]],[[[],[]]]] => [[[[],[]]],[[]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[],[[]]] => [[],[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[],[]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[],[[]]] => [[[[]]],[],[[[],[]]]] => [[[[],[]]],[],[[[]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[],[[]]] => [[[],[]],[],[[[],[]]]] => [[[[],[]]],[],[[],[]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[],[[]]] => [[],[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]],[]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[],[[]]] => [[[]],[],[],[[[],[]]]] => [[[[],[]]],[],[],[[]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[],[[]]] => [[],[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[]],[[]],[]] => [[[[[]]]],[[],[[]]]] => [[[[]],[]],[[[[]]]]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[[]],[]] => [[[[],[]]],[[],[[]]]] => [[[[]],[]],[[[],[]]]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[[]],[]] => [[[],[[]]],[[],[[]]]] => [[[[]],[]],[[[]],[]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[[]],[]] => [[[[]],[]],[[],[[]]]] => [[[[]],[]],[[],[[]]]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[[]],[]] => [[[],[],[]],[[],[[]]]] => [[[[]],[]],[[],[],[]]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[[]],[]] => [[],[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]],[]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[[]],[]] => [[],[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]],[]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[[]],[]] => [[[]],[[]],[[],[[]]]] => [[[[]],[]],[[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[[]],[]] => [[],[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[],[]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[[]],[]] => [[[[]]],[],[[],[[]]]] => [[[[]],[]],[],[[[]]]] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[[]],[]] => [[[],[]],[],[[],[[]]]] => [[[[]],[]],[],[[],[]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[[]],[]] => [[],[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]],[]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[[]],[]] => [[[]],[],[],[[],[[]]]] => [[[[]],[]],[],[],[[]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[[]],[]] => [[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[]],[[],[]]] => [[[[[]]]],[[[]],[]]] => [[[],[[]]],[[[[]]]]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[],[],[],[]],[[[]]]] => [[[[[]]]],[[],[],[]]] => [[[],[],[]],[[[[]]]]] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[],[],[[]]],[[],[]]] => [[[[],[]]],[[[]],[]]] => [[[],[[]]],[[[],[]]]] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[],[],[[]]],[[[]]]] => [[[[],[]]],[[],[],[]]] => [[[],[],[]],[[[],[]]]] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[[],[[]],[]],[[],[]]] => [[[],[[]]],[[[]],[]]] => [[[],[[]]],[[[]],[]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[],[[]],[]],[[[]]]] => [[[],[[]]],[[],[],[]]] => [[[],[],[]],[[[]],[]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[],[[],[]]],[[],[]]] => [[[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]]]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[],[[],[]]],[[[]]]] => [[[[]],[]],[[],[],[]]] => [[[],[],[]],[[],[[]]]] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[[],[[[]]]],[[],[]]] => [[[],[],[]],[[[]],[]]] => [[[],[[]]],[[],[],[]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[[],[[[]]]],[[[]]]] => [[[],[],[]],[[],[],[]]] => [[[],[],[]],[[],[],[]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[]],[],[]],[[],[]]] => [[],[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]],[]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[[]],[],[]],[[[]]]] => [[],[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]],[]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[[[]],[[]]],[[],[]]] => [[],[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]],[]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[]],[[]]],[[[]]]] => [[],[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]],[]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[],[]],[]],[[],[]]] => [[[]],[[]],[[[]],[]]] => [[[],[[]]],[[]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[[],[]],[]],[[[]]]] => [[[]],[[]],[[],[],[]]] => [[[],[],[]],[[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[[]]],[]],[[],[]]] => [[],[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[],[]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[[]]],[]],[[[]]]] => [[],[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[],[]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[],[],[]]],[[],[]]] => [[[[]]],[],[[[]],[]]] => [[[],[[]]],[],[[[]]]] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[[],[],[]]],[[[]]]] => [[[[]]],[],[[],[],[]]] => [[[],[],[]],[],[[[]]]] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[[],[[]]]],[[],[]]] => [[[],[]],[],[[[]],[]]] => [[[],[[]]],[],[[],[]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[[],[[]]]],[[[]]]] => [[[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[[]],[]]],[[],[]]] => [[],[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]],[]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[[]],[]]],[[[]]]] => [[],[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]],[]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[],[]]]],[[],[]]] => [[[]],[],[],[[[]],[]]] => [[[],[[]]],[],[],[[]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[[],[]]]],[[[]]]] => [[[]],[],[],[[],[],[]]] => [[[],[],[]],[],[],[[]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[]]]]],[[],[]]] => [[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[[[]]]]],[[[]]]] => [[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[]],[],[]] => [[[[[[]]]]],[[[]]]] => [[[[]]],[[[[[]]]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[[[],[],[],[[]]],[],[]] => [[[[[],[]]]],[[[]]]] => [[[[]]],[[[[],[]]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[[[],[],[[]],[]],[],[]] => [[[[],[[]]]],[[[]]]] => [[[[]]],[[[[]],[]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[[[],[],[[],[]]],[],[]] => [[[[[]],[]]],[[[]]]] => [[[[]]],[[[],[[]]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[[[],[],[[[]]]],[],[]] => [[[[],[],[]]],[[[]]]] => [[[[]]],[[[],[],[]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[[[],[[]],[],[]],[],[]] => [[[],[[[]]]],[[[]]]] => [[[[]]],[[[[]]],[]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[[[],[[]],[[]]],[],[]] => [[[],[[],[]]],[[[]]]] => [[[[]]],[[[],[]],[]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[[[],[[],[]],[]],[],[]] => [[[[]],[[]]],[[[]]]] => [[[[]]],[[[]],[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[[[],[[[]]],[]],[],[]] => [[[],[],[[]]],[[[]]]] => [[[[]]],[[[]],[],[]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[[[],[[],[],[]]],[],[]] => [[[[[]]],[]],[[[]]]] => [[[[]]],[[],[[[]]]]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[[[],[[],[[]]]],[],[]] => [[[[],[]],[]],[[[]]]] => [[[[]]],[[],[[],[]]]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[[[],[[[]],[]]],[],[]] => [[[],[[]],[]],[[[]]]] => [[[[]]],[[],[[]],[]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[[[],[[[],[]]]],[],[]] => [[[[]],[],[]],[[[]]]] => [[[[]]],[[],[],[[]]]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[[[],[[[[]]]]],[],[]] => [[[],[],[],[]],[[[]]]] => [[[[]]],[[],[],[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[]],[],[]] => [[],[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]],[]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[[[[]],[],[[]]],[],[]] => [[],[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]],[]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[[[[]],[[]],[]],[],[]] => [[],[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]],[]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[]],[[],[]]],[],[]] => [[],[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]],[]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[[[[]],[[[]]]],[],[]] => [[],[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]],[]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[]],[],[]] => [[[]],[[[]]],[[[]]]] => [[[[]]],[[[]]],[[]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[[[[[]]],[],[]],[],[]] => [[],[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[],[]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[],[]],[[]]],[],[]] => [[[]],[[],[]],[[[]]]] => [[[[]]],[[],[]],[[]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[]]],[],[]] => [[],[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[],[]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[]],[],[]] => [[[[]]],[[]],[[[]]]] => [[[[]]],[[]],[[[]]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[]],[],[]] => [[[],[]],[[]],[[[]]]] => [[[[]]],[[]],[[],[]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[]],[],[]] => [[],[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]],[]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[]],[],[]] => [[[]],[],[[]],[[[]]]] => [[[[]]],[[]],[],[[]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[]],[],[]] => [[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]]],[],[]] => [[[[[]]]],[],[[[]]]] => [[[[]]],[],[[[[]]]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]]],[],[]] => [[[[],[]]],[],[[[]]]] => [[[[]]],[],[[[],[]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]]],[],[]] => [[[],[[]]],[],[[[]]]] => [[[[]]],[],[[[]],[]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]]],[],[]] => [[[[]],[]],[],[[[]]]] => [[[[]]],[],[[],[[]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]]],[],[]] => [[[],[],[]],[],[[[]]]] => [[[[]]],[],[[],[],[]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]]],[],[]] => [[],[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]],[]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]]],[],[]] => [[],[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]],[]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]]],[],[]] => [[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]]],[],[]] => [[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]]],[],[]] => [[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]]],[],[]] => [[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]]],[],[]] => [[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]]],[],[]] => [[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]]],[],[]] => [[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[]],[[]]] => [[[[[[]]]]],[[],[]]] => [[[],[]],[[[[[]]]]]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[],[],[],[[]]],[[]]] => [[[[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]]]]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[[],[],[[]],[]],[[]]] => [[[[],[[]]]],[[],[]]] => [[[],[]],[[[[]],[]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[[],[],[[],[]]],[[]]] => [[[[[]],[]]],[[],[]]] => [[[],[]],[[[],[[]]]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[[],[],[[[]]]],[[]]] => [[[[],[],[]]],[[],[]]] => [[[],[]],[[[],[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[[],[[]],[],[]],[[]]] => [[[],[[[]]]],[[],[]]] => [[[],[]],[[[[]]],[]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[[],[[]],[[]]],[[]]] => [[[],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[[],[[],[]],[]],[[]]] => [[[[]],[[]]],[[],[]]] => [[[],[]],[[[]],[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[[],[[[]]],[]],[[]]] => [[[],[],[[]]],[[],[]]] => [[[],[]],[[[]],[],[]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[[],[[],[],[]]],[[]]] => [[[[[]]],[]],[[],[]]] => [[[],[]],[[],[[[]]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[[],[[],[[]]]],[[]]] => [[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[[],[[[]],[]]],[[]]] => [[[],[[]],[]],[[],[]]] => [[[],[]],[[],[[]],[]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[[],[[[],[]]]],[[]]] => [[[[]],[],[]],[[],[]]] => [[[],[]],[[],[],[[]]]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[[],[[[[]]]]],[[]]] => [[[],[],[],[]],[[],[]]] => [[[],[]],[[],[],[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[]],[[]]] => [[],[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]],[]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[[[]],[],[[]]],[[]]] => [[],[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]],[]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[[[]],[[]],[]],[[]]] => [[],[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]],[]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[]],[[],[]]],[[]]] => [[],[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]],[]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[[[]],[[[]]]],[[]]] => [[],[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]],[]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[]],[[]]] => [[[]],[[[]]],[[],[]]] => [[[],[]],[[[]]],[[]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[[[[]]],[],[]],[[]]] => [[],[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[],[]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[],[]],[[]]],[[]]] => [[[]],[[],[]],[[],[]]] => [[[],[]],[[],[]],[[]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[]]],[[]]] => [[],[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[],[]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[]],[[]]] => [[[[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[]],[[]]] => [[[],[]],[[]],[[],[]]] => [[[],[]],[[]],[[],[]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[]],[[]]] => [[],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[]],[[]]] => [[[]],[],[[]],[[],[]]] => [[[],[]],[[]],[],[[]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[]],[[]]] => [[],[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[],[]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]]],[[]]] => [[[[[]]]],[],[[],[]]] => [[[],[]],[],[[[[]]]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]]],[[]]] => [[[[],[]]],[],[[],[]]] => [[[],[]],[],[[[],[]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]]],[[]]] => [[[],[[]]],[],[[],[]]] => [[[],[]],[],[[[]],[]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]]],[[]]] => [[[[]],[]],[],[[],[]]] => [[[],[]],[],[[],[[]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]]],[[]]] => [[[],[],[]],[],[[],[]]] => [[[],[]],[],[[],[],[]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]]],[[]]] => [[],[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]],[]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]]],[[]]] => [[],[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]],[]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]]],[[]]] => [[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]]],[[]]] => [[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]]],[[]]] => [[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]]],[[]]] => [[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]]],[[]]] => [[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]]],[[]]] => [[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]]],[[]]] => [[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[],[]],[]] => [[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[],[],[],[],[[]]],[]] => [[[[[[],[]]]]],[[]]] => [[[]],[[[[[],[]]]]]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[[],[],[],[[]],[]],[]] => [[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[[],[],[],[[],[]]],[]] => [[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[[],[],[],[[[]]]],[]] => [[[[[],[],[]]]],[[]]] => [[[]],[[[[],[],[]]]]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[[],[],[[]],[],[]],[]] => [[[[],[[[]]]]],[[]]] => [[[]],[[[[[]]],[]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[[],[],[[]],[[]]],[]] => [[[[],[[],[]]]],[[]]] => [[[]],[[[[],[]],[]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[[],[],[[],[]],[]],[]] => [[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[[],[],[[[]]],[]],[]] => [[[[],[],[[]]]],[[]]] => [[[]],[[[[]],[],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[[],[],[[],[],[]]],[]] => [[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[[],[],[[],[[]]]],[]] => [[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[[],[],[[[]],[]]],[]] => [[[[],[[]],[]]],[[]]] => [[[]],[[[],[[]],[]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[[],[],[[[],[]]]],[]] => [[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[[],[],[[[[]]]]],[]] => [[[[],[],[],[]]],[[]]] => [[[]],[[[],[],[],[]]]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[[],[[]],[],[],[]],[]] => [[[],[[[[]]]]],[[]]] => [[[]],[[[[[]]]],[]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[[],[[]],[],[[]]],[]] => [[[],[[[],[]]]],[[]]] => [[[]],[[[[],[]]],[]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[[],[[]],[[]],[]],[]] => [[[],[[],[[]]]],[[]]] => [[[]],[[[[]],[]],[]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[],[[]],[[],[]]],[]] => [[[],[[[]],[]]],[[]]] => [[[]],[[[],[[]]],[]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[[],[[]],[[[]]]],[]] => [[[],[[],[],[]]],[[]]] => [[[]],[[[],[],[]],[]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[[],[[],[]],[],[]],[]] => [[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[[],[[[]]],[],[]],[]] => [[[],[],[[[]]]],[[]]] => [[[]],[[[[]]],[],[]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[[],[[],[]],[[]]],[]] => [[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[[],[[[]]],[[]]],[]] => [[[],[],[[],[]]],[[]]] => [[[]],[[[],[]],[],[]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[[],[[],[],[]],[]],[]] => [[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[[],[[],[[]]],[]],[]] => [[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[[],[[[]],[]],[]],[]] => [[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[],[[[],[]]],[]],[]] => [[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[],[[[[]]]],[]],[]] => [[[],[],[],[[]]],[[]]] => [[[]],[[[]],[],[],[]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[[],[[],[],[],[]]],[]] => [[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[[],[[],[],[[]]]],[]] => [[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[[],[[],[[]],[]]],[]] => [[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[[],[[],[[],[]]]],[]] => [[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[[],[[],[[[]]]]],[]] => [[[[],[],[]],[]],[[]]] => [[[]],[[],[[],[],[]]]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[[],[[[]],[],[]]],[]] => [[[],[[[]]],[]],[[]]] => [[[]],[[],[[[]]],[]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[[],[[[]],[[]]]],[]] => [[[],[[],[]],[]],[[]]] => [[[]],[[],[[],[]],[]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[[],[[[],[]],[]]],[]] => [[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[],[[[[]]],[]]],[]] => [[[],[],[[]],[]],[[]]] => [[[]],[[],[[]],[],[]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[[],[[[],[],[]]]],[]] => [[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[[],[[[],[[]]]]],[]] => [[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[[],[[[[]],[]]]],[]] => [[[],[[]],[],[]],[[]]] => [[[]],[[],[],[[]],[]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[[],[[[[],[]]]]],[]] => [[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[[],[[[[[]]]]]],[]] => [[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[],[]],[]] => [[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[[[]],[],[],[[]]],[]] => [[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[[[]],[],[[]],[]],[]] => [[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[[[]],[],[[],[]]],[]] => [[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[[[]],[],[[[]]]],[]] => [[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[[[]],[[]],[],[]],[]] => [[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[[[]],[[]],[[]]],[]] => [[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[[]],[[],[]],[]],[]] => [[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[[[]],[[[]]],[]],[]] => [[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[[[]],[[],[],[]]],[]] => [[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[[[]],[[],[[]]]],[]] => [[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[]],[[[]],[]]],[]] => [[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[[]],[[[],[]]]],[]] => [[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[[[]],[[[[]]]]],[]] => [[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[],[]],[]] => [[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[[[[]]],[],[],[]],[]] => [[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[[[],[]],[],[[]]],[]] => [[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[[[[]]],[],[[]]],[]] => [[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[[[],[]],[[]],[]],[]] => [[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[[]]],[[]],[]],[]] => [[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[[[],[]],[[],[]]],[]] => [[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[[[],[]],[[[]]]],[]] => [[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[],[]]],[]] => [[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[[[[]]],[[[]]]],[]] => [[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[],[]],[]] => [[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[[[],[[]]],[],[]],[]] => [[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[[[[]],[]],[],[]],[]] => [[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[[[[],[]]],[],[]],[]] => [[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[[[[[]]]],[],[]],[]] => [[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[[[],[],[]],[[]]],[]] => [[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[[]]],[]] => [[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[[]]],[]] => [[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[[]]],[]] => [[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[[]]],[]] => [[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]],[]],[]] => [[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]],[]],[]] => [[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]],[]],[]] => [[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]],[]],[]] => [[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]],[]],[]] => [[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]],[]],[]] => [[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]],[]],[]] => [[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]],[]],[]] => [[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]],[]],[]] => [[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]],[]],[]] => [[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]],[]],[]] => [[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]],[]],[]] => [[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]],[]],[]] => [[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]],[]],[]] => [[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[],[],[],[],[]]],[]] => [[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[[],[],[],[[]]]],[]] => [[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[[[],[],[[]],[]]],[]] => [[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[[[],[],[[],[]]]],[]] => [[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[[[],[],[[[]]]]],[]] => [[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[[],[[]],[],[]]],[]] => [[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[[[],[[]],[[]]]],[]] => [[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[[[],[[],[]],[]]],[]] => [[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[[[],[[[]]],[]]],[]] => [[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[[[],[[],[],[]]]],[]] => [[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[[[],[[],[[]]]]],[]] => [[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[[[],[[[]],[]]]],[]] => [[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[[],[[[],[]]]]],[]] => [[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[[[],[[[[]]]]]],[]] => [[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[[]],[],[],[]]],[]] => [[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[[[[]],[],[[]]]],[]] => [[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[[[[]],[[]],[]]],[]] => [[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[[[[]],[[],[]]]],[]] => [[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[[[[]],[[[]]]]],[]] => [[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[[[[],[]],[],[]]],[]] => [[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[[[[[]]],[],[]]],[]] => [[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[[[[],[]],[[]]]],[]] => [[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[[[[[]]],[[]]]],[]] => [[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[[[[],[],[]],[]]],[]] => [[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[[[[],[[]]],[]]],[]] => [[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[[[[[]],[]],[]]],[]] => [[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[[[[[],[]]],[]]],[]] => [[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[[]]]],[]]],[]] => [[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[],[],[],[]]]],[]] => [[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[[],[],[[]]]]],[]] => [[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[[[[],[[]],[]]]],[]] => [[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[[],[[],[]]]]],[]] => [[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[[[[[],[[[]]]]]],[]] => [[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[[]],[],[]]]],[]] => [[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[[[[[]],[[]]]]],[]] => [[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[[[[[],[]],[]]]],[]] => [[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[[]]],[]]]],[]] => [[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[],[],[]]]]],[]] => [[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[],[[]]]]]],[]] => [[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[[]],[]]]]],[]] => [[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[[],[]]]]]],[]] => [[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[[]]]]]]],[]] => [[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[[[],[],[],[],[],[],[]]] => [[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[[[],[],[],[],[],[[]]]] => [[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[[],[],[],[],[[]],[]]] => [[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[[],[],[],[],[[],[]]]] => [[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[[],[],[],[],[[[]]]]] => [[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[[],[],[],[[]],[],[]]] => [[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[[],[],[],[[]],[[]]]] => [[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[[],[],[],[[],[]],[]]] => [[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[],[],[],[[[]]],[]]] => [[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[[],[],[],[[],[],[]]]] => [[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[[],[],[],[[],[[]]]]] => [[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[[],[],[],[[[]],[]]]] => [[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[[],[],[],[[[],[]]]]] => [[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[[],[],[],[[[[]]]]]] => [[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[],[],[[]],[],[],[]]] => [[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[[],[],[[]],[],[[]]]] => [[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[[],[],[[]],[[]],[]]] => [[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[[],[],[[]],[[],[]]]] => [[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[],[],[[]],[[[]]]]] => [[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[[],[],[[],[]],[],[]]] => [[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[[],[],[[[]]],[],[]]] => [[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[[],[],[[],[]],[[]]]] => [[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[[],[],[[[]]],[[]]]] => [[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[[],[],[[],[],[]],[]]] => [[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[[],[],[[],[[]]],[]]] => [[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[],[],[[[]],[]],[]]] => [[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[[],[],[[[],[]]],[]]] => [[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[[],[],[[[[]]]],[]]] => [[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[[],[],[[],[],[],[]]]] => [[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[[],[],[[],[],[[]]]]] => [[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[[],[],[[],[[]],[]]]] => [[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[[],[],[[],[[],[]]]]] => [[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[[],[],[[],[[[]]]]]] => [[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[[],[],[[[]],[],[]]]] => [[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[[],[],[[[]],[[]]]]] => [[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[[],[],[[[],[]],[]]]] => [[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[[],[],[[[[]]],[]]]] => [[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[[],[],[[[],[],[]]]]] => [[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[[],[],[[[],[[]]]]]] => [[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[[],[],[[[[]],[]]]]] => [[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[],[],[[[[],[]]]]]] => [[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[[[],[],[[[[[]]]]]]] => [[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[[],[[]],[],[],[],[]]] => [[[],[[[[[]]]]]],[]] => [[],[[[[[[]]]]],[]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[[],[[]],[],[],[[]]]] => [[[],[[[[],[]]]]],[]] => [[],[[[[[],[]]]],[]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[[],[[]],[],[[]],[]]] => [[[],[[[],[[]]]]],[]] => [[],[[[[[]],[]]],[]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[[],[[]],[],[[],[]]]] => [[[],[[[[]],[]]]],[]] => [[],[[[[],[[]]]],[]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[[],[[]],[],[[[]]]]] => [[[],[[[],[],[]]]],[]] => [[],[[[[],[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[[],[[]],[[]],[],[]]] => [[[],[[],[[[]]]]],[]] => [[],[[[[[]]],[]],[]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[[],[[]],[[]],[[]]]] => [[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[[],[[]],[[],[]],[]]] => [[[],[[[]],[[]]]],[]] => [[],[[[[]],[[]]],[]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[],[[]],[[[]]],[]]] => [[[],[[],[],[[]]]],[]] => [[],[[[[]],[],[]],[]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[[],[[]],[[],[],[]]]] => [[[],[[[[]]],[]]],[]] => [[],[[[],[[[]]]],[]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[],[[]],[[],[[]]]]] => [[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[[],[[]],[[[]],[]]]] => [[[],[[],[[]],[]]],[]] => [[],[[[],[[]],[]],[]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[[],[[]],[[[],[]]]]] => [[[],[[[]],[],[]]],[]] => [[],[[[],[],[[]]],[]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[[],[[]],[[[[]]]]]] => [[[],[[],[],[],[]]],[]] => [[],[[[],[],[],[]],[]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[[],[[],[]],[],[],[]]] => [[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[],[[[]]],[],[],[]]] => [[[],[],[[[[]]]]],[]] => [[],[[[[[]]]],[],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[[],[[],[]],[],[[]]]] => [[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[[],[[[]]],[],[[]]]] => [[[],[],[[[],[]]]],[]] => [[],[[[[],[]]],[],[]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[[],[[],[]],[[]],[]]] => [[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[[],[[[]]],[[]],[]]] => [[[],[],[[],[[]]]],[]] => [[],[[[[]],[]],[],[]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[[],[[],[]],[[],[]]]] => [[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[[],[[],[]],[[[]]]]] => [[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[[],[[[]]],[[],[]]]] => [[[],[],[[[]],[]]],[]] => [[],[[[],[[]]],[],[]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[[],[[[]]],[[[]]]]] => [[[],[],[[],[],[]]],[]] => [[],[[[],[],[]],[],[]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[[],[[],[],[]],[],[]]] => [[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[[],[[],[[]]],[],[]]] => [[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[[],[[[]],[]],[],[]]] => [[[],[[]],[[[]]]],[]] => [[],[[[[]]],[[]],[]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[[],[[[],[]]],[],[]]] => [[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[[],[[[[]]]],[],[]]] => [[[],[],[],[[[]]]],[]] => [[],[[[[]]],[],[],[]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[[],[[],[],[]],[[]]]] => [[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[[],[[],[[]]],[[]]]] => [[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[[],[[[]],[]],[[]]]] => [[[],[[]],[[],[]]],[]] => [[],[[[],[]],[[]],[]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[[],[[[],[]]],[[]]]] => [[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[[],[[[[]]]],[[]]]] => [[[],[],[],[[],[]]],[]] => [[],[[[],[]],[],[],[]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[[],[[],[],[],[]],[]]] => [[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[],[[],[],[[]]],[]]] => [[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[[],[[],[[]],[]],[]]] => [[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[],[[],[[],[]]],[]]] => [[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[[],[[],[[[]]]],[]]] => [[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[[],[[[]],[],[]],[]]] => [[[],[[[]]],[[]]],[]] => [[],[[[]],[[[]]],[]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[[],[[[]],[[]]],[]]] => [[[],[[],[]],[[]]],[]] => [[],[[[]],[[],[]],[]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[[],[[[],[]],[]],[]]] => [[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[],[[[[]]],[]],[]]] => [[[],[],[[]],[[]]],[]] => [[],[[[]],[[]],[],[]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[[],[[[],[],[]]],[]]] => [[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[[],[[[],[[]]]],[]]] => [[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[[],[[[[]],[]]],[]]] => [[[],[[]],[],[[]]],[]] => [[],[[[]],[],[[]],[]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[[],[[[[],[]]]],[]]] => [[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[[],[[[[[]]]]],[]]] => [[[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[[],[[],[],[],[],[]]]] => [[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[[],[[],[],[],[[]]]]] => [[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[[],[[],[],[[]],[]]]] => [[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[[],[[],[],[[],[]]]]] => [[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[[],[[],[],[[[]]]]]] => [[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[[],[[],[[]],[],[]]]] => [[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[[],[[],[[]],[[]]]]] => [[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[[],[[],[[],[]],[]]]] => [[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[[],[[],[[[]]],[]]]] => [[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[[],[[],[[],[],[]]]]] => [[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[[],[[],[[],[[]]]]]] => [[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[[],[[],[[[]],[]]]]] => [[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[[],[[],[[[],[]]]]]] => [[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[[[],[[],[[[[]]]]]]] => [[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[[],[[[]],[],[],[]]]] => [[[],[[[[]]]],[]],[]] => [[],[[],[[[[]]]],[]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[[],[[[]],[],[[]]]]] => [[[],[[[],[]]],[]],[]] => [[],[[],[[[],[]]],[]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[[],[[[]],[[]],[]]]] => [[[],[[],[[]]],[]],[]] => [[],[[],[[[]],[]],[]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[[],[[[]],[[],[]]]]] => [[[],[[[]],[]],[]],[]] => [[],[[],[[],[[]]],[]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[[],[[[]],[[[]]]]]] => [[[],[[],[],[]],[]],[]] => [[],[[],[[],[],[]],[]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[[],[[[],[]],[],[]]]] => [[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[[],[[[[]]],[],[]]]] => [[[],[],[[[]]],[]],[]] => [[],[[],[[[]]],[],[]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[[],[[[],[]],[[]]]]] => [[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[[],[[[[]]],[[]]]]] => [[[],[],[[],[]],[]],[]] => [[],[[],[[],[]],[],[]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[[],[[[],[],[]],[]]]] => [[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[[],[[[],[[]]],[]]]] => [[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[[],[[[[]],[]],[]]]] => [[[],[[]],[[]],[]],[]] => [[],[[],[[]],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[[],[[[[],[]]],[]]]] => [[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[[],[[[[[]]]],[]]]] => [[[],[],[],[[]],[]],[]] => [[],[[],[[]],[],[],[]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[[],[[[],[],[],[]]]]] => [[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[[],[[[],[],[[]]]]]] => [[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[[],[[[],[[]],[]]]]] => [[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[[],[[[],[[],[]]]]]] => [[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[[],[[[],[[[]]]]]]] => [[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[[],[[[[]],[],[]]]]] => [[[],[[[]]],[],[]],[]] => [[],[[],[],[[[]]],[]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[[],[[[[]],[[]]]]]] => [[[],[[],[]],[],[]],[]] => [[],[[],[],[[],[]],[]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[[],[[[[],[]],[]]]]] => [[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[[],[[[[[]]],[]]]]] => [[[],[],[[]],[],[]],[]] => [[],[[],[],[[]],[],[]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[[],[[[[],[],[]]]]]] => [[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[[],[[[[],[[]]]]]]] => [[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[[],[[[[[]],[]]]]]] => [[[],[[]],[],[],[]],[]] => [[],[[],[],[],[[]],[]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[[],[[[[[],[]]]]]]] => [[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[[],[[[[[[]]]]]]]] => [[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[[[]],[],[],[],[],[]]] => [[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[[[]],[],[],[],[[]]]] => [[],[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]],[]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[[]],[],[],[[]],[]]] => [[],[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]],[]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[[]],[],[],[[],[]]]] => [[],[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]],[]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[[]],[],[],[[[]]]]] => [[],[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]],[]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[[[]],[],[[]],[],[]]] => [[],[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]],[]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[[]],[],[[]],[[]]]] => [[],[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]],[]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[]],[],[[],[]],[]]] => [[],[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]],[]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[[]],[],[[[]]],[]]] => [[],[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]],[]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[[]],[],[[],[],[]]]] => [[],[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]],[]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[[]],[],[[],[[]]]]] => [[],[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]],[]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[[]],[],[[[]],[]]]] => [[],[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]],[]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[[]],[],[[[],[]]]]] => [[],[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]],[]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[[[]],[],[[[[]]]]]] => [[],[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]],[]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[[[]],[[]],[],[],[]]] => [[],[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]],[]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[[]],[[]],[],[[]]]] => [[],[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]],[]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[[]],[[]],[[]],[]]] => [[],[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]],[]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[]],[[]],[[],[]]]] => [[],[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]],[]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[[]],[[]],[[[]]]]] => [[],[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]],[]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[[]],[[],[]],[],[]]] => [[],[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]],[]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[[[]],[[[]]],[],[]]] => [[],[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]],[]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[[[]],[[],[]],[[]]]] => [[],[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]],[]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[[]],[[[]]],[[]]]] => [[],[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]],[]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[[]],[[],[],[]],[]]] => [[],[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]],[]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[[[]],[[],[[]]],[]]] => [[],[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]],[]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[[]],[[[]],[]],[]]] => [[],[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]],[]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[[]],[[[],[]]],[]]] => [[],[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]],[]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[[[]],[[[[]]]],[]]] => [[],[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]],[]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[[[]],[[],[],[],[]]]] => [[],[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]],[]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[[]],[[],[],[[]]]]] => [[],[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]],[]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[[[]],[[],[[]],[]]]] => [[],[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]],[]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[[[]],[[],[[],[]]]]] => [[],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[[[]],[[],[[[]]]]]] => [[],[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]],[]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[[[]],[[[]],[],[]]]] => [[],[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]],[]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[[[]],[[[]],[[]]]]] => [[],[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]],[]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[[[]],[[[],[]],[]]]] => [[],[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]],[]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[[[]],[[[[]]],[]]]] => [[],[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]],[]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[[[]],[[[],[],[]]]]] => [[],[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]],[]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[[[]],[[[],[[]]]]]] => [[],[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]],[]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[[[]],[[[[]],[]]]]] => [[],[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]],[]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[[[]],[[[[],[]]]]]] => [[],[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]],[]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[[[]],[[[[[]]]]]]] => [[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[[[],[]],[],[],[],[]]] => [[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[[[[]]],[],[],[],[]]] => [[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[],[]],[],[],[[]]]] => [[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[[[]]],[],[],[[]]]] => [[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[],[]],[],[[]],[]]] => [[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[[[]]],[],[[]],[]]] => [[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[],[]],[],[[],[]]]] => [[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[[],[]],[],[[[]]]]] => [[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[[[]]],[],[[],[]]]] => [[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[[[]]],[],[[[]]]]] => [[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[[],[]],[[]],[],[]]] => [[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[[[[]]],[[]],[],[]]] => [[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[],[]],[[]],[[]]]] => [[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[[]]],[[]],[[]]]] => [[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[[],[]],[[],[]],[]]] => [[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[[],[]],[[[]]],[]]] => [[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[],[]],[]]] => [[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[[[]]],[[[]]],[]]] => [[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[[],[]],[[],[],[]]]] => [[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[[],[]],[[],[[]]]]] => [[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[[[],[]],[[[]],[]]]] => [[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[[[],[]],[[[],[]]]]] => [[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[[[],[]],[[[[]]]]]] => [[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[[[[]]],[[],[],[]]]] => [[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[[[[]]],[[],[[]]]]] => [[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[[[[]]],[[[]],[]]]] => [[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[[[[]]],[[[],[]]]]] => [[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[[[[]]],[[[[]]]]]] => [[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[[[],[],[]],[],[],[]]] => [[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[[[],[[]]],[],[],[]]] => [[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[[[]],[]],[],[],[]]] => [[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[[],[]]],[],[],[]]] => [[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[[[]]]],[],[],[]]] => [[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[],[],[]],[],[[]]]] => [[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[[],[[]]],[],[[]]]] => [[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[[[]],[]],[],[[]]]] => [[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[[[],[]]],[],[[]]]] => [[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[[[[[]]]],[],[[]]]] => [[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[[],[],[]],[[]],[]]] => [[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[[]],[]]] => [[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[[]],[]]] => [[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[[]],[]]] => [[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[[]],[]]] => [[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[[],[],[]],[[],[]]]] => [[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[[],[],[]],[[[]]]]] => [[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[[[],[[]]],[[],[]]]] => [[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[[[],[[]]],[[[]]]]] => [[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[[[[]],[]],[[],[]]]] => [[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[[[[]],[]],[[[]]]]] => [[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[[[[],[]]],[[],[]]]] => [[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[[[[],[]]],[[[]]]]] => [[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[[[[[]]]],[[],[]]]] => [[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[[[[[]]]],[[[]]]]] => [[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[[[],[],[],[]],[],[]]] => [[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]],[],[]]] => [[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]],[],[]]] => [[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]],[],[]]] => [[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]],[],[]]] => [[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]],[],[]]] => [[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]],[],[]]] => [[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]],[],[]]] => [[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]],[],[]]] => [[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]],[],[]]] => [[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]],[],[]]] => [[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]],[],[]]] => [[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]],[],[]]] => [[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]],[],[]]] => [[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[[],[],[],[]],[[]]]] => [[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[[],[],[[]]],[[]]]] => [[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[[[],[[]],[]],[[]]]] => [[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[[[],[[],[]]],[[]]]] => [[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[[[],[[[]]]],[[]]]] => [[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[[[[]],[],[]],[[]]]] => [[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[[[[]],[[]]],[[]]]] => [[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[[[[],[]],[]],[[]]]] => [[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[]]],[]],[[]]]] => [[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[[[[],[],[]]],[[]]]] => [[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[[[[],[[]]]],[[]]]] => [[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[[[[[]],[]]],[[]]]] => [[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[[[[[],[]]]],[[]]]] => [[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[[]]]]],[[]]]] => [[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[[[],[],[],[],[]],[]]] => [[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[[[],[],[],[[]]],[]]] => [[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[[[],[],[[]],[]],[]]] => [[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[[[],[],[[],[]]],[]]] => [[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[[[],[],[[[]]]],[]]] => [[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[[[],[[]],[],[]],[]]] => [[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[[[],[[]],[[]]],[]]] => [[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[[[],[[],[]],[]],[]]] => [[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[[[],[[[]]],[]],[]]] => [[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[[[],[[],[],[]]],[]]] => [[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[[[],[[],[[]]]],[]]] => [[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[[[],[[[]],[]]],[]]] => [[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[[[],[[[],[]]]],[]]] => [[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[[[],[[[[]]]]],[]]] => [[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[[[[]],[],[],[]],[]]] => [[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[[[[]],[],[[]]],[]]] => [[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[[[[]],[[]],[]],[]]] => [[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[[[[]],[[],[]]],[]]] => [[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[[[[]],[[[]]]],[]]] => [[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[[[[],[]],[],[]],[]]] => [[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[[[[[]]],[],[]],[]]] => [[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[[[[],[]],[[]]],[]]] => [[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[[[[[]]],[[]]],[]]] => [[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[[[[],[],[]],[]],[]]] => [[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[[[[],[[]]],[]],[]]] => [[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[[[[[]],[]],[]],[]]] => [[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[[[[[],[]]],[]],[]]] => [[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[[]]]],[]],[]]] => [[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[[[[],[],[],[]]],[]]] => [[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[[[[],[],[[]]]],[]]] => [[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[[[[],[[]],[]]],[]]] => [[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[[[[],[[],[]]]],[]]] => [[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[[[[],[[[]]]]],[]]] => [[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[[[[[]],[],[]]],[]]] => [[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[[[[[]],[[]]]],[]]] => [[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[[[[[],[]],[]]],[]]] => [[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[[]]],[]]],[]]] => [[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[],[],[]]]],[]]] => [[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[],[[]]]]],[]]] => [[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[[]],[]]]],[]]] => [[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[[],[]]]]],[]]] => [[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[[[[[[[]]]]]],[]]] => [[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[[[],[],[],[],[],[]]]] => [[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[[[],[],[],[],[[]]]]] => [[[[[[],[]]]]],[],[]] => [[],[],[[[[[],[]]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[[[],[],[],[[]],[]]]] => [[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[[[],[],[],[[],[]]]]] => [[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[[[],[],[],[[[]]]]]] => [[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[[[],[],[[]],[],[]]]] => [[[[],[[[]]]]],[],[]] => [[],[],[[[[[]]],[]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[[[],[],[[]],[[]]]]] => [[[[],[[],[]]]],[],[]] => [[],[],[[[[],[]],[]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[[[],[],[[],[]],[]]]] => [[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[[[],[],[[[]]],[]]]] => [[[[],[],[[]]]],[],[]] => [[],[],[[[[]],[],[]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[[[],[],[[],[],[]]]]] => [[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[[[],[],[[],[[]]]]]] => [[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[[[],[],[[[]],[]]]]] => [[[[],[[]],[]]],[],[]] => [[],[],[[[],[[]],[]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[[[],[],[[[],[]]]]]] => [[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[[[],[],[[[[]]]]]]] => [[[[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[[[],[[]],[],[],[]]]] => [[[],[[[[]]]]],[],[]] => [[],[],[[[[[]]]],[]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[[[],[[]],[],[[]]]]] => [[[],[[[],[]]]],[],[]] => [[],[],[[[[],[]]],[]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[[[],[[]],[[]],[]]]] => [[[],[[],[[]]]],[],[]] => [[],[],[[[[]],[]],[]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[[[],[[]],[[],[]]]]] => [[[],[[[]],[]]],[],[]] => [[],[],[[[],[[]]],[]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[[[],[[]],[[[]]]]]] => [[[],[[],[],[]]],[],[]] => [[],[],[[[],[],[]],[]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[[[],[[],[]],[],[]]]] => [[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[[[],[[[]]],[],[]]]] => [[[],[],[[[]]]],[],[]] => [[],[],[[[[]]],[],[]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[[[],[[],[]],[[]]]]] => [[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[[[],[[[]]],[[]]]]] => [[[],[],[[],[]]],[],[]] => [[],[],[[[],[]],[],[]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[[[],[[],[],[]],[]]]] => [[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[[[],[[],[[]]],[]]]] => [[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[[[],[[[]],[]],[]]]] => [[[],[[]],[[]]],[],[]] => [[],[],[[[]],[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[[[],[[[],[]]],[]]]] => [[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[[[],[[[[]]]],[]]]] => [[[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[[[],[[],[],[],[]]]]] => [[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[[[],[[],[],[[]]]]]] => [[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[[[],[[],[[]],[]]]]] => [[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[[[],[[],[[],[]]]]]] => [[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[[[],[[],[[[]]]]]]] => [[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[[[],[[[]],[],[]]]]] => [[[],[[[]]],[]],[],[]] => [[],[],[[],[[[]]],[]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[[[],[[[]],[[]]]]]] => [[[],[[],[]],[]],[],[]] => [[],[],[[],[[],[]],[]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[[[],[[[],[]],[]]]]] => [[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[[[],[[[[]]],[]]]]] => [[[],[],[[]],[]],[],[]] => [[],[],[[],[[]],[],[]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[[[],[[[],[],[]]]]]] => [[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[[[],[[[],[[]]]]]]] => [[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[[[],[[[[]],[]]]]]] => [[[],[[]],[],[]],[],[]] => [[],[],[[],[],[[]],[]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[[[],[[[[],[]]]]]]] => [[[[]],[],[],[]],[],[]] => [[],[],[[],[],[],[[]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[[[],[[[[[]]]]]]]] => [[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[[[[]],[],[],[],[]]]] => [[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[[[[]],[],[],[[]]]]] => [[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[[[[]],[],[[]],[]]]] => [[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[[[[]],[],[[],[]]]]] => [[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[[[[]],[],[[[]]]]]] => [[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[[[[]],[[]],[],[]]]] => [[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[[[[]],[[]],[[]]]]] => [[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[[[[]],[[],[]],[]]]] => [[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[[[[]],[[[]]],[]]]] => [[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[[[[]],[[],[],[]]]]] => [[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[[[[]],[[],[[]]]]]] => [[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[[[[]],[[[]],[]]]]] => [[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[[[[]],[[[],[]]]]]] => [[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[[[[]],[[[[]]]]]]] => [[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[[[[],[]],[],[],[]]]] => [[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[[[[[]]],[],[],[]]]] => [[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[[[[],[]],[],[[]]]]] => [[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[[[[[]]],[],[[]]]]] => [[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[[[[],[]],[[]],[]]]] => [[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[[[[[]]],[[]],[]]]] => [[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[[[[],[]],[[],[]]]]] => [[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[[[[],[]],[[[]]]]]] => [[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[[[[[]]],[[],[]]]]] => [[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[[[[[]]],[[[]]]]]] => [[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[[[[],[],[]],[],[]]]] => [[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[[[[],[[]]],[],[]]]] => [[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[[[[[]],[]],[],[]]]] => [[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[[[[[],[]]],[],[]]]] => [[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[[[[[[]]]],[],[]]]] => [[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[[[[],[],[]],[[]]]]] => [[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[[[[],[[]]],[[]]]]] => [[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[[[[[]],[]],[[]]]]] => [[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[[[[[],[]]],[[]]]]] => [[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[[[[[[]]]],[[]]]]] => [[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[[[[],[],[],[]],[]]]] => [[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[[[[],[],[[]]],[]]]] => [[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[[[[],[[]],[]],[]]]] => [[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[[[[],[[],[]]],[]]]] => [[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[[[[],[[[]]]],[]]]] => [[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[[[[[[]],[],[]],[]]]] => [[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[[[[[[]],[[]]],[]]]] => [[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[[[[[[],[]],[]],[]]]] => [[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[[[[[[[]]],[]],[]]]] => [[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[[[[[[],[],[]]],[]]]] => [[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[[[[[[],[[]]]],[]]]] => [[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[[[[[[[]],[]]],[]]]] => [[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[[[[[[[],[]]]],[]]]] => [[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[[[[[[[[]]]]],[]]]] => [[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[[[[[],[],[],[],[]]]]] => [[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[[[[[],[],[],[[]]]]]] => [[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[[[[[],[],[[]],[]]]]] => [[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[[[[[],[],[[],[]]]]]] => [[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[[[[[],[],[[[]]]]]]] => [[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[[[[[],[[]],[],[]]]]] => [[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[[[[[],[[]],[[]]]]]] => [[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[[[[[],[[],[]],[]]]]] => [[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[[[[[],[[[]]],[]]]]] => [[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[[[[[],[[],[],[]]]]]] => [[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[[[[[],[[],[[]]]]]]] => [[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[[[[[],[[[]],[]]]]]] => [[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[[[[[],[[[],[]]]]]]] => [[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[[[[[],[[[[]]]]]]]] => [[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[[[[[[]],[],[],[]]]]] => [[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[[[[[[]],[],[[]]]]]] => [[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[[[[[[]],[[]],[]]]]] => [[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[[[[[]],[[],[]]]]]] => [[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[[[[[]],[[[]]]]]]] => [[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[[[[[[],[]],[],[]]]]] => [[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[[[[[[[]]],[],[]]]]] => [[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[[[[[[],[]],[[]]]]]] => [[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[[[[[[[]]],[[]]]]]] => [[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[[[[[[],[],[]],[]]]]] => [[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[[[[[[],[[]]],[]]]]] => [[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[[[[[[[]],[]],[]]]]] => [[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[[[[[[[],[]]],[]]]]] => [[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[[[[[[[[]]]],[]]]]] => [[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[[[[[[],[],[],[]]]]]] => [[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[[[[[[],[],[[]]]]]]] => [[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[[[[[[],[[]],[]]]]]] => [[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[[[[[[],[[],[]]]]]]] => [[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[[[[[[],[[[]]]]]]]] => [[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[[[[[[[]],[],[]]]]]] => [[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[[[[[[[]],[[]]]]]]] => [[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[[[[[[[],[]],[]]]]]] => [[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[[[[[[[[]]],[]]]]]] => [[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[[[[[[[],[],[]]]]]]] => [[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[[[[[[[],[[]]]]]]]] => [[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[[[[[[[[]],[]]]]]]] => [[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[[[[[[[[],[]]]]]]]] => [[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]] => [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]
Map
DeBruijn-Morselt plane tree automorphism
Description
This automorphism on the set of plane trees with a given number of vertices is the combination of the two "canonical" bijections between plane trees and binary trees, using either the left or right branches. In [3] Shapiro essentially attributes this automorphism to DeBruijn and Morselt [1], hence the name I chose. Shapiro shows in that paper that for a large subset of plane trees (those corresponding to compositions), the sixth power of the automorphism acts as the identity on this subset. However, its behavior in general is quite chaotic. In [2] Donaghey studies this automorphism further and shows that its behavior on all trees can be reduced to its behavior on certain "primitive" trees.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
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.
This sends the maximal height of the Dyck path to the depth of the tree.
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