Identifier
Mp00048:
Ordered trees
—left-right symmetry⟶
Ordered trees
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Mp00024: Dyck paths —to 321-avoiding permutation⟶ Permutations
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Mp00024: Dyck paths —to 321-avoiding permutation⟶ Permutations
Images
[] => [] => [] => []
[[]] => [[]] => [1,0] => [1]
[[],[]] => [[],[]] => [1,0,1,0] => [2,1]
[[[]]] => [[[]]] => [1,1,0,0] => [1,2]
[[],[],[]] => [[],[],[]] => [1,0,1,0,1,0] => [2,1,3]
[[],[[]]] => [[[]],[]] => [1,1,0,0,1,0] => [3,1,2]
[[[]],[]] => [[],[[]]] => [1,0,1,1,0,0] => [2,3,1]
[[[],[]]] => [[[],[]]] => [1,1,0,1,0,0] => [1,3,2]
[[[[]]]] => [[[[]]]] => [1,1,1,0,0,0] => [1,2,3]
[[],[],[],[]] => [[],[],[],[]] => [1,0,1,0,1,0,1,0] => [2,1,4,3]
[[],[],[[]]] => [[[]],[],[]] => [1,1,0,0,1,0,1,0] => [3,1,4,2]
[[],[[]],[]] => [[],[[]],[]] => [1,0,1,1,0,0,1,0] => [2,1,3,4]
[[],[[],[]]] => [[[],[]],[]] => [1,1,0,1,0,0,1,0] => [3,1,2,4]
[[],[[[]]]] => [[[[]]],[]] => [1,1,1,0,0,0,1,0] => [4,1,2,3]
[[[]],[],[]] => [[],[],[[]]] => [1,0,1,0,1,1,0,0] => [2,4,1,3]
[[[]],[[]]] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [3,4,1,2]
[[[],[]],[]] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [2,3,1,4]
[[[[]]],[]] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [2,3,4,1]
[[[],[],[]]] => [[[],[],[]]] => [1,1,0,1,0,1,0,0] => [1,3,2,4]
[[[],[[]]]] => [[[[]],[]]] => [1,1,1,0,0,1,0,0] => [1,4,2,3]
[[[[]],[]]] => [[[],[[]]]] => [1,1,0,1,1,0,0,0] => [1,3,4,2]
[[[[],[]]]] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,2,4,3]
[[[[[]]]]] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,2,3,4]
[[],[],[],[],[]] => [[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5]
[[],[],[],[[]]] => [[[]],[],[],[]] => [1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,5]
[[],[],[[]],[]] => [[],[[]],[],[]] => [1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,4]
[[],[],[[],[]]] => [[[],[]],[],[]] => [1,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4]
[[],[],[[[]]]] => [[[[]]],[],[]] => [1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3]
[[],[[]],[],[]] => [[],[],[[]],[]] => [1,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3]
[[],[[]],[[]]] => [[[]],[[]],[]] => [1,1,0,0,1,1,0,0,1,0] => [3,1,4,5,2]
[[],[[],[]],[]] => [[],[[],[]],[]] => [1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,4]
[[],[[[]]],[]] => [[],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,4,5]
[[],[[],[],[]]] => [[[],[],[]],[]] => [1,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4]
[[],[[],[[]]]] => [[[[]],[]],[]] => [1,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3]
[[],[[[]],[]]] => [[[],[[]]],[]] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,4,5]
[[],[[[],[]]]] => [[[[],[]]],[]] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,3,5]
[[],[[[[]]]]] => [[[[[]]]],[]] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4]
[[[]],[],[],[]] => [[],[],[],[[]]] => [1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,5]
[[[]],[],[[]]] => [[[]],[],[[]]] => [1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,5]
[[[]],[[]],[]] => [[],[[]],[[]]] => [1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,4]
[[[]],[[],[]]] => [[[],[]],[[]]] => [1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4]
[[[]],[[[]]]] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3]
[[[],[]],[],[]] => [[],[],[[],[]]] => [1,0,1,0,1,1,0,1,0,0] => [2,4,1,5,3]
[[[[]]],[],[]] => [[],[],[[[]]]] => [1,0,1,0,1,1,1,0,0,0] => [2,4,5,1,3]
[[[],[]],[[]]] => [[[]],[[],[]]] => [1,1,0,0,1,1,0,1,0,0] => [3,4,1,5,2]
[[[[]]],[[]]] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2]
[[[],[],[]],[]] => [[],[[],[],[]]] => [1,0,1,1,0,1,0,1,0,0] => [2,3,1,5,4]
[[[],[[]]],[]] => [[],[[[]],[]]] => [1,0,1,1,1,0,0,1,0,0] => [2,3,1,4,5]
[[[[]],[]],[]] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4]
[[[[],[]]],[]] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [2,3,4,1,5]
[[[[[]]]],[]] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1]
[[[],[],[],[]]] => [[[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4]
[[[],[],[[]]]] => [[[[]],[],[]]] => [1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3]
[[[],[[]],[]]] => [[[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,0] => [1,3,2,4,5]
[[[],[[],[]]]] => [[[[],[]],[]]] => [1,1,1,0,1,0,0,1,0,0] => [1,4,2,3,5]
[[[],[[[]]]]] => [[[[[]]],[]]] => [1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,4]
[[[[]],[],[]]] => [[[],[],[[]]]] => [1,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4]
[[[[]],[[]]]] => [[[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3]
[[[[],[]],[]]] => [[[],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0] => [1,3,4,2,5]
[[[[[]]],[]]] => [[[],[[[]]]]] => [1,1,0,1,1,1,0,0,0,0] => [1,3,4,5,2]
[[[[],[],[]]]] => [[[[],[],[]]]] => [1,1,1,0,1,0,1,0,0,0] => [1,2,4,3,5]
[[[[],[[]]]]] => [[[[[]],[]]]] => [1,1,1,1,0,0,1,0,0,0] => [1,2,5,3,4]
[[[[[]],[]]]] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,2,4,5,3]
[[[[[],[]]]]] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,2,3,5,4]
[[[[[[]]]]]] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5]
[[],[],[],[],[],[]] => [[],[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5]
[[],[],[],[],[[]]] => [[[]],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5]
[[],[],[],[[]],[]] => [[],[[]],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4]
[[],[],[],[[],[]]] => [[[],[]],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,4]
[[],[],[],[[[]]]] => [[[[]]],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3]
[[],[],[[]],[],[]] => [[],[],[[]],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6]
[[],[],[[]],[[]]] => [[[]],[[]],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,5,6]
[[],[],[[],[]],[]] => [[],[[],[]],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,6]
[[],[],[[[]]],[]] => [[],[[[]]],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5]
[[],[],[[],[],[]]] => [[[],[],[]],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,6]
[[],[],[[],[[]]]] => [[[[]],[]],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,6]
[[],[],[[[]],[]]] => [[[],[[]]],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5]
[[],[],[[[],[]]]] => [[[[],[]]],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5]
[[],[],[[[[]]]]] => [[[[[]]]],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4]
[[],[[]],[],[],[]] => [[],[],[],[[]],[]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5]
[[],[[]],[],[[]]] => [[[]],[],[[]],[]] => [1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5]
[[],[[]],[[]],[]] => [[],[[]],[[]],[]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4]
[[],[[]],[[],[]]] => [[[],[]],[[]],[]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4]
[[],[[]],[[[]]]] => [[[[]]],[[]],[]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3]
[[],[[],[]],[],[]] => [[],[],[[],[]],[]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6]
[[],[[[]]],[],[]] => [[],[],[[[]]],[]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,5,6,3]
[[],[[],[]],[[]]] => [[[]],[[],[]],[]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,5,2,6]
[[],[[[]]],[[]]] => [[[]],[[[]]],[]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,5,6,2]
[[],[[],[],[]],[]] => [[],[[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,6]
[[],[[],[[]]],[]] => [[],[[[]],[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5]
[[],[[[]],[]],[]] => [[],[[],[[]]],[]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,3,5,6,4]
[[],[[[],[]]],[]] => [[],[[[],[]]],[]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5]
[[],[[[[]]]],[]] => [[],[[[[]]]],[]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,5,6]
[[],[[],[],[],[]]] => [[[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,6]
[[],[[],[],[[]]]] => [[[[]],[],[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,6]
[[],[[],[[]],[]]] => [[[],[[]],[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5]
[[],[[],[[],[]]]] => [[[[],[]],[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5]
[[],[[],[[[]]]]] => [[[[[]]],[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4]
[[],[[[]],[],[]]] => [[[],[],[[]]],[]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,6,4]
[[],[[[]],[[]]]] => [[[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,6,3]
[[],[[[],[]],[]]] => [[[],[[],[]]],[]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5]
>>> Load all 2230 entries. <<<
[[],[[[[]]],[]]] => [[[],[[[]]]],[]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,5,6]
[[],[[[],[],[]]]] => [[[[],[],[]]],[]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5]
[[],[[[],[[]]]]] => [[[[[]],[]]],[]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4]
[[],[[[[]],[]]]] => [[[[],[[]]]],[]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,5,6]
[[],[[[[],[]]]]] => [[[[[],[]]]],[]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,6]
[[],[[[[[]]]]]] => [[[[[[]]]]],[]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5]
[[[]],[],[],[],[]] => [[],[],[],[],[[]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5]
[[[]],[],[],[[]]] => [[[]],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5]
[[[]],[],[[]],[]] => [[],[[]],[],[[]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4]
[[[]],[],[[],[]]] => [[[],[]],[],[[]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,6,4]
[[[]],[],[[[]]]] => [[[[]]],[],[[]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,6,3]
[[[]],[[]],[],[]] => [[],[],[[]],[[]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,5,6]
[[[]],[[]],[[]]] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,5,6]
[[[]],[[],[]],[]] => [[],[[],[]],[[]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,6]
[[[]],[[[]]],[]] => [[],[[[]]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5]
[[[]],[[],[],[]]] => [[[],[],[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,6]
[[[]],[[],[[]]]] => [[[[]],[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,6]
[[[]],[[[]],[]]] => [[[],[[]]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5]
[[[]],[[[],[]]]] => [[[[],[]]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5]
[[[]],[[[[]]]]] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4]
[[[],[]],[],[],[]] => [[],[],[],[[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5]
[[[[]]],[],[],[]] => [[],[],[],[[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5]
[[[],[]],[],[[]]] => [[[]],[],[[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5]
[[[[]]],[],[[]]] => [[[]],[],[[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5]
[[[],[]],[[]],[]] => [[],[[]],[[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4]
[[[[]]],[[]],[]] => [[],[[]],[[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4]
[[[],[]],[[],[]]] => [[[],[]],[[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4]
[[[],[]],[[[]]]] => [[[[]]],[[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3]
[[[[]]],[[],[]]] => [[[],[]],[[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4]
[[[[]]],[[[]]]] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3]
[[[],[],[]],[],[]] => [[],[],[[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,5,3,6]
[[[],[[]]],[],[]] => [[],[],[[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,5,6,3]
[[[[]],[]],[],[]] => [[],[],[[],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,5,1,3,6]
[[[[],[]]],[],[]] => [[],[],[[[],[]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,5,1,6,3]
[[[[[]]]],[],[]] => [[],[],[[[[]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,5,6,1,3]
[[[],[],[]],[[]]] => [[[]],[[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,5,2,6]
[[[],[[]]],[[]]] => [[[]],[[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,5,6,2]
[[[[]],[]],[[]]] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,5,1,2,6]
[[[[],[]]],[[]]] => [[[]],[[[],[]]]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,5,1,6,2]
[[[[[]]]],[[]]] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2]
[[[],[],[],[]],[]] => [[],[[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,6]
[[[],[],[[]]],[]] => [[],[[[]],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5]
[[[],[[]],[]],[]] => [[],[[],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,1,5,6,4]
[[[],[[],[]]],[]] => [[],[[[],[]],[]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5]
[[[],[[[]]]],[]] => [[],[[[[]]],[]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,5,6]
[[[[]],[],[]],[]] => [[],[[],[],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,6]
[[[[]],[[]]],[]] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5]
[[[[],[]],[]],[]] => [[],[[],[[],[]]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,1,6,4]
[[[[[]]],[]],[]] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,6,1,4]
[[[[],[],[]]],[]] => [[],[[[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5]
[[[[],[[]]]],[]] => [[],[[[[]],[]]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,4,1,5,6]
[[[[[]],[]]],[]] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5]
[[[[[],[]]]],[]] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,5,1,6]
[[[[[[]]]]],[]] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1]
[[[],[],[],[],[]]] => [[[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,6]
[[[],[],[],[[]]]] => [[[[]],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,6]
[[[],[],[[]],[]]] => [[[],[[]],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5]
[[[],[],[[],[]]]] => [[[[],[]],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5]
[[[],[],[[[]]]]] => [[[[[]]],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4]
[[[],[[]],[],[]]] => [[[],[],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,6,4]
[[[],[[]],[[]]]] => [[[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,6,3]
[[[],[[],[]],[]]] => [[[],[[],[]],[]]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5]
[[[],[[[]]],[]]] => [[[],[[[]]],[]]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,4,5,6]
[[[],[[],[],[]]]] => [[[[],[],[]],[]]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5]
[[[],[[],[[]]]]] => [[[[[]],[]],[]]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4]
[[[],[[[]],[]]]] => [[[[],[[]]],[]]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,5,6]
[[[],[[[],[]]]]] => [[[[[],[]]],[]]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,6]
[[[],[[[[]]]]]] => [[[[[[]]]],[]]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5]
[[[[]],[],[],[]]] => [[[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,6]
[[[[]],[],[[]]]] => [[[[]],[],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6]
[[[[]],[[]],[]]] => [[[],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5]
[[[[]],[[],[]]]] => [[[[],[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5]
[[[[]],[[[]]]]] => [[[[[]]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4]
[[[[],[]],[],[]]] => [[[],[],[[],[]]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,6,4]
[[[[[]]],[],[]]] => [[[],[],[[[]]]]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,6,2,4]
[[[[],[]],[[]]]] => [[[[]],[[],[]]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,6,3]
[[[[[]]],[[]]]] => [[[[]],[[[]]]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,5,6,2,3]
[[[[],[],[]],[]]] => [[[],[[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5]
[[[[],[[]]],[]]] => [[[],[[[]],[]]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,4,2,5,6]
[[[[[]],[]],[]]] => [[[],[[],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5]
[[[[[],[]]],[]]] => [[[],[[[],[]]]]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,4,5,2,6]
[[[[[[]]]],[]]] => [[[],[[[[]]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,5,6,2]
[[[[],[],[],[]]]] => [[[[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5]
[[[[],[],[[]]]]] => [[[[[]],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4]
[[[[],[[]],[]]]] => [[[[],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,5,6]
[[[[],[[],[]]]]] => [[[[[],[]],[]]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,6]
[[[[],[[[]]]]]] => [[[[[[]]],[]]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5]
[[[[[]],[],[]]]] => [[[[],[],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5]
[[[[[]],[[]]]]] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4]
[[[[[],[]],[]]]] => [[[[],[[],[]]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,4,5,3,6]
[[[[[[]]],[]]]] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,2,4,5,6,3]
[[[[[],[],[]]]]] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,6]
[[[[[],[[]]]]]] => [[[[[[]],[]]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5]
[[[[[[]],[]]]]] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,5,6,4]
[[[[[[],[]]]]]] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5]
[[[[[[[]]]]]]] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6]
[[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7]
[[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7]
[[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7]
[[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,7]
[[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7]
[[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6]
[[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6]
[[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6]
[[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5]
[[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6]
[[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6]
[[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5]
[[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5]
[[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4]
[[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5]
[[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5]
[[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4]
[[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4]
[[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3]
[[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6]
[[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7]
[[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6]
[[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7]
[[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6]
[[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5]
[[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7]
[[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7]
[[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6]
[[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6]
[[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6]
[[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5]
[[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5]
[[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4]
[[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7]
[[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7]
[[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7]
[[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6]
[[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7]
[[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7]
[[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6]
[[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6]
[[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5]
[[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7]
[[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7]
[[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7]
[[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7]
[[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7]
[[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6]
[[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6]
[[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6]
[[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5]
[[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6]
[[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,5,7,2,3,6]
[[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5]
[[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5]
[[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,1,6,7,2,3,4]
[[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5]
[[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5]
[[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5]
[[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5]
[[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4]
[[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4]
[[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4]
[[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3]
[[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,6,7,2,4]
[[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3]
[[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6]
[[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7]
[[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6]
[[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7]
[[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3]
[[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6]
[[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7]
[[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6]
[[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7]
[[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2]
[[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6]
[[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5]
[[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7]
[[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7]
[[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6]
[[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6]
[[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5]
[[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7]
[[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4]
[[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7]
[[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6]
[[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5]
[[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6]
[[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7]
[[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6]
[[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6]
[[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5]
[[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5]
[[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4]
[[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,7]
[[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7]
[[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,7]
[[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6]
[[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,7]
[[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7]
[[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6]
[[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6]
[[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5]
[[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6]
[[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6]
[[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,7,4,5]
[[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5]
[[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4]
[[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,6,4,7]
[[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4]
[[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7]
[[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3]
[[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,7]
[[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6]
[[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5]
[[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6]
[[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7]
[[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7]
[[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7]
[[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6]
[[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,3,7,4,6]
[[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5]
[[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5]
[[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4]
[[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6]
[[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7]
[[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,7,6]
[[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5]
[[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7]
[[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7]
[[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6]
[[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7]
[[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7]
[[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7]
[[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,7]
[[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,7]
[[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6]
[[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6]
[[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6]
[[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5]
[[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6]
[[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6]
[[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,7,4,5]
[[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5]
[[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,6,1,2,7,3,4]
[[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5]
[[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5]
[[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4]
[[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4]
[[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3]
[[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6]
[[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7]
[[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6]
[[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7]
[[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6]
[[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5]
[[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7]
[[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7]
[[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6]
[[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6]
[[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6]
[[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5]
[[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5]
[[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,7,4]
[[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7]
[[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7]
[[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7]
[[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6]
[[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7]
[[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,7]
[[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6]
[[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6]
[[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5]
[[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7]
[[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7]
[[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7]
[[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7]
[[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7]
[[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7]
[[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7]
[[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7]
[[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7]
[[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7]
[[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6]
[[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6]
[[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6]
[[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6]
[[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6]
[[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5]
[[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6]
[[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5]
[[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6]
[[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,5,1,7,2,3,6]
[[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,6,1,7,2,4,5]
[[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5]
[[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4]
[[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6]
[[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,5,7,1,2,3,6]
[[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5]
[[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5]
[[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4]
[[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5]
[[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5]
[[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5]
[[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5]
[[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5]
[[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5]
[[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5]
[[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5]
[[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5]
[[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5]
[[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4]
[[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4]
[[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4]
[[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4]
[[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4]
[[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4]
[[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3]
[[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4]
[[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3]
[[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4]
[[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3]
[[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4]
[[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3]
[[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4]
[[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3]
[[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6]
[[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7]
[[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6]
[[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7]
[[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3]
[[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6]
[[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7]
[[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6]
[[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6]
[[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7]
[[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3]
[[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7]
[[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3]
[[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3]
[[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6]
[[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7]
[[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6]
[[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7]
[[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2]
[[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6]
[[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7]
[[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6]
[[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6]
[[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7]
[[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2]
[[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7]
[[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2]
[[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2]
[[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6]
[[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5]
[[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7]
[[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7]
[[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6]
[[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6]
[[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5]
[[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7]
[[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4]
[[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7]
[[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6]
[[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5]
[[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6]
[[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7]
[[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6]
[[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5]
[[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7]
[[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7]
[[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6]
[[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6]
[[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6]
[[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5]
[[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5]
[[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7]
[[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4]
[[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7]
[[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4]
[[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4]
[[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7]
[[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6]
[[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5]
[[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6]
[[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7]
[[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7]
[[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6]
[[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5]
[[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5]
[[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6]
[[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7]
[[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6]
[[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7]
[[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1]
[[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6]
[[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6]
[[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5]
[[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5]
[[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4]
[[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7]
[[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7]
[[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7]
[[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6]
[[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7]
[[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7]
[[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6]
[[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6]
[[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5]
[[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6]
[[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6]
[[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5]
[[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5]
[[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4]
[[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7]
[[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4]
[[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,6,3,7]
[[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3]
[[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7]
[[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,7,5,6]
[[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,7,5]
[[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6]
[[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7]
[[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7]
[[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7]
[[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6]
[[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6]
[[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5]
[[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5]
[[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4]
[[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6]
[[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7]
[[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6]
[[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5]
[[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7]
[[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7]
[[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6]
[[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6]
[[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6]
[[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5]
[[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,7,5]
[[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,7,4]
[[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7]
[[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7]
[[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7]
[[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6]
[[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7]
[[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7]
[[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6]
[[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,5,7,2,3,4,6]
[[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5]
[[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6]
[[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6]
[[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6]
[[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6]
[[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5]
[[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,6,7,2,4,5]
[[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5]
[[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,5,6,2,7,3,4]
[[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5]
[[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4]
[[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,6,4,7]
[[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4]
[[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7]
[[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4]
[[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4]
[[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7]
[[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3]
[[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7]
[[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3]
[[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3]
[[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,7]
[[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,4,2,7,5,6]
[[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5]
[[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6]
[[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7]
[[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7]
[[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6]
[[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5]
[[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5]
[[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6]
[[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7]
[[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6]
[[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7]
[[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2]
[[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7]
[[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7]
[[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6]
[[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6]
[[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5]
[[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5]
[[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4]
[[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6]
[[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7]
[[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6]
[[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5]
[[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7]
[[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7]
[[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6]
[[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7]
[[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7]
[[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6]
[[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6]
[[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5]
[[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,2,4,6,3,7,5]
[[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,7,3,5]
[[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4]
[[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,6,7,3,4]
[[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6]
[[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,6,7]
[[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6]
[[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7]
[[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3]
[[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6]
[[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5]
[[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7]
[[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7]
[[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6]
[[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6]
[[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5]
[[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7]
[[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4]
[[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7]
[[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6]
[[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5]
[[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6]
[[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7]
[[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7]
[[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7]
[[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,8,7]
[[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,8,7]
[[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,8,7]
[[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,7,5,8,6]
[[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,7,5,8,6]
[[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,7,4,8,6]
[[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,6,3,7,4,8,5]
[[],[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,7,4,8,6]
[[],[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,7,3,8,6]
[[],[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,6,2,7,4,8,5]
[[],[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,6,2,7,3,8,5]
[[],[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,6,2,7,3,8,4]
[[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7,8]
[[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7,8]
[[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7,8]
[[],[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[],[]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,4,7,8]
[[],[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[],[]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7,8]
[[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6,8]
[[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,4,3,8,5,6,7]
[[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6,8]
[[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,4,2,8,5,6,7]
[[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6,8]
[[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5,8]
[[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,5,3,8,4,6,7]
[[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,8,4,5,7]
[[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,7,3,8,4,5,6]
[[],[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[],[]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6,8]
[[],[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[],[]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6,8]
[[],[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[],[]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5,8]
[[],[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[],[]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5,8]
[[],[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[],[]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4,8]
[[],[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[],[]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,5,2,8,4,6,7]
[[],[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[],[]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,8,3,6,7]
[[],[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[],[]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,8,4,5,7]
[[],[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[],[]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [3,1,7,2,8,4,5,6]
[[],[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[],[]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,8,3,5,7]
[[],[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[],[]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,6,2,8,3,4,7]
[[],[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[],[]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,7,2,8,3,5,6]
[[],[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[],[]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,7,2,8,3,4,6]
[[],[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[],[]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,7,2,8,3,4,5]
[[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,8,5,7]
[[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,8,5,7]
[[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,8,4,7]
[[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,8,4,7]
[[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,8,3,7]
[[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,7,8,5,6]
[[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,7,8,5,6]
[[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,7,8,4,6]
[[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,6,3,7,8,4,5]
[[],[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[],[]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,7,8,4,6]
[[],[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[],[]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,7,8,3,6]
[[],[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[],[]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,6,2,7,8,4,5]
[[],[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[],[]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,6,2,7,8,3,5]
[[],[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[],[]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [5,1,6,2,7,8,3,4]
[[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5,8]
[[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,6,7,8,5]
[[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5,8]
[[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,6,7,8,5]
[[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4,8]
[[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,3,6,7,8,4]
[[],[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[],[]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4,8]
[[],[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[],[]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3,8]
[[],[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[],[]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,5,2,6,7,8,4]
[[],[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[],[]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,6,7,8,3]
[[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6,8]
[[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,4,3,5,8,6,7]
[[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,7,8,6]
[[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,8,7]
[[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7,8]
[[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6,8]
[[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,8,6,7]
[[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,7,8,6]
[[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,8,7]
[[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7,8]
[[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6,8]
[[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5,8]
[[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,4,8,6,7]
[[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,8,5,7]
[[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,1,7,3,4,8,5,6]
[[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,7,8,6]
[[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,7,8,5]
[[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,8,7]
[[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7,8]
[[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,8,7]
[[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,7,3,4,5,8,6]
[[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7,8]
[[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6,8]
[[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,8,3,4,5,6,7]
[[],[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[],[]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6,8]
[[],[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[],[]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6,8]
[[],[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[],[]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5,8]
[[],[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[],[]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5,8]
[[],[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[],[]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4,8]
[[],[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[],[]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,4,8,6,7]
[[],[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[],[]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,8,6,7]
[[],[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[],[]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,8,5,7]
[[],[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[],[]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [3,1,7,2,4,8,5,6]
[[],[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[],[]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,8,5,7]
[[],[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[],[]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,8,4,7]
[[],[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[],[]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,7,2,3,8,5,6]
[[],[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[],[]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [5,1,7,2,3,8,4,6]
[[],[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,7,2,3,8,4,5]
[[],[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[],[]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,7,8,6]
[[],[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[],[]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,7,8,6]
[[],[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[],[]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,7,8,5]
[[],[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[],[]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,6,2,3,7,8,5]
[[],[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[],[]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [5,1,6,2,3,7,8,4]
[[],[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[],[]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,8,7]
[[],[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[],[]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7,8]
[[],[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[],[]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,8,7]
[[],[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[],[]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7,8]
[[],[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[],[]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,8,7]
[[],[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[],[]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [3,1,7,2,4,5,8,6]
[[],[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[],[]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7,8]
[[],[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[],[]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6,8]
[[],[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [3,1,8,2,4,5,6,7]
[[],[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[],[]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,8,7]
[[],[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[],[]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,8,7]
[[],[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[],[]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,7,2,3,5,8,6]
[[],[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [5,1,7,2,3,4,8,6]
[[],[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,1,7,2,3,4,8,5]
[[],[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[],[]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7,8]
[[],[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7,8]
[[],[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6,8]
[[],[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [4,1,8,2,3,5,6,7]
[[],[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6,8]
[[],[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5,8]
[[],[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [5,1,8,2,3,4,6,7]
[[],[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,8,2,3,4,5,7]
[[],[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [7,1,8,2,3,4,5,6]
[[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,8,7]
[[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,8,7]
[[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,8,7]
[[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,8,7]
[[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,8,7]
[[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,7,3,5,8,6]
[[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,7,2,5,8,6]
[[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,7,3,4,8,6]
[[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,1,6,7,3,4,8,5]
[[],[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]],[]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,7,2,4,8,6]
[[],[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]],[]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,5,7,2,3,8,6]
[[],[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]],[]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,6,7,2,4,8,5]
[[],[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]],[]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,6,7,2,3,8,5]
[[],[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]],[]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,6,7,2,3,8,4]
[[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7,8]
[[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7,8]
[[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7,8]
[[],[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]],[]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7,8]
[[],[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]],[]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7,8]
[[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6,8]
[[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,4,8,3,5,6,7]
[[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6,8]
[[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,4,8,2,5,6,7]
[[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6,8]
[[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5,8]
[[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,8,3,4,6,7]
[[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,1,6,8,3,4,5,7]
[[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,1,7,8,3,4,5,6]
[[],[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6,8]
[[],[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [4,1,5,7,2,3,6,8]
[[],[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5,8]
[[],[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5,8]
[[],[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [5,1,6,7,2,3,4,8]
[[],[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]],[]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,5,8,2,4,6,7]
[[],[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]],[]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [4,1,5,8,2,3,6,7]
[[],[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]],[]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,6,8,2,4,5,7]
[[],[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]],[]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [3,1,7,8,2,4,5,6]
[[],[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]],[]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,8,2,3,5,7]
[[],[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]],[]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,1,6,8,2,3,4,7]
[[],[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]],[]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [4,1,7,8,2,3,5,6]
[[],[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]],[]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,1,7,8,2,3,4,6]
[[],[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]],[]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [6,1,7,8,2,3,4,5]
[[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,8,5,7]
[[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,8,3,5,7]
[[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,8,5,7]
[[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,8,2,5,7]
[[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,8,4,7]
[[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,5,6,8,3,4,7]
[[],[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]],[]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,8,4,7]
[[],[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]],[]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,8,3,7]
[[],[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]],[]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,5,6,8,2,4,7]
[[],[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]],[]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [4,1,5,6,8,2,3,7]
[[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,7,3,8,5,6]
[[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,7,8,3,5,6]
[[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,7,2,8,5,6]
[[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,7,8,2,5,6]
[[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,7,3,8,4,6]
[[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,1,6,7,3,8,4,5]
[[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,7,8,3,4,6]
[[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,1,6,7,8,3,4,5]
[[],[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]],[]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,7,2,8,4,6]
[[],[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]],[]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,1,5,7,2,8,3,6]
[[],[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]],[]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,6,7,2,8,4,5]
[[],[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]],[]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,6,7,2,8,3,5]
[[],[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]],[]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [5,1,6,7,2,8,3,4]
[[],[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]],[]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,7,8,2,4,6]
[[],[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]],[]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [4,1,5,7,8,2,3,6]
[[],[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]],[]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,6,7,8,2,4,5]
[[],[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]],[]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,6,7,8,2,3,5]
[[],[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]],[]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,1,6,7,8,2,3,4]
[[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5,8]
[[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,6,3,7,8,5]
[[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5,8]
[[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,6,7,3,8,5]
[[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,6,7,8,3,5]
[[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5,8]
[[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,6,2,7,8,5]
[[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5,8]
[[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,6,7,2,8,5]
[[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,6,7,8,2,5]
[[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4,8]
[[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,6,3,7,8,4]
[[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4,8]
[[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,7,3,8,4]
[[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,5,6,7,8,3,4]
[[],[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]],[]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4,8]
[[],[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]],[]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3,8]
[[],[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]],[]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,5,6,2,7,8,4]
[[],[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]],[]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [4,1,5,6,2,7,8,3]
[[],[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]],[]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,5,6,7,2,4,8]
[[],[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]],[]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3,8]
[[],[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]],[]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,5,6,7,2,8,4]
[[],[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]],[]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [4,1,5,6,7,2,8,3]
[[],[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]],[]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,5,6,7,8,2,4]
[[],[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]],[]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,1,5,6,7,8,2,3]
[[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6,8]
[[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,4,5,3,8,6,7]
[[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,7,8,6]
[[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,8,7]
[[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7,8]
[[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6,8]
[[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,4,5,8,3,6,7]
[[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,4,5,7,3,8,6]
[[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,4,5,7,8,3,6]
[[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,8,7]
[[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7,8]
[[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,4,5,6,8,3,7]
[[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3,8]
[[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,5,6,7,8,3]
[[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6,8]
[[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,8,6,7]
[[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,7,8,6]
[[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,8,7]
[[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7,8]
[[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6,8]
[[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,4,5,8,2,6,7]
[[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,4,5,7,2,8,6]
[[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,4,5,7,8,2,6]
[[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,8,7]
[[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7,8]
[[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [3,1,4,5,6,8,2,7]
[[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2,8]
[[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,4,5,6,7,8,2]
[[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6,8]
[[],[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]],[]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5,8]
[[],[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]],[]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,5,4,8,6,7]
[[],[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]],[]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,8,5,7]
[[],[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]],[]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,1,3,7,4,8,5,6]
[[],[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]],[]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,7,8,6]
[[],[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]],[]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,7,8,5]
[[],[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]],[]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,8,7]
[[],[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]],[]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7,8]
[[],[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]],[]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,8,7]
[[],[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]],[]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,1,3,7,4,5,8,6]
[[],[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]],[]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7,8]
[[],[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]],[]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6,8]
[[],[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]],[]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,1,3,8,4,5,6,7]
[[],[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]],[]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6,8]
[[],[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]],[]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5,8]
[[],[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]],[]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,5,8,4,6,7]
[[],[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]],[]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,8,4,5,7]
[[],[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]],[]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,1,3,7,8,4,5,6]
[[],[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]],[]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,7,4,8,6]
[[],[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]],[]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,7,8,4,6]
[[],[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]],[]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,3,6,7,4,8,5]
[[],[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]],[]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,1,3,6,7,8,4,5]
[[],[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]],[]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,8,7]
[[],[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]],[]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7,8]
[[],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,5,6,8,4,7]
[[],[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]],[]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4,8]
[[],[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]],[]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,5,6,7,8,4]
[[],[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]],[]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,8,7]
[[],[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]],[]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,3,4,7,5,8,6]
[[],[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]],[]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7,8]
[[],[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]],[]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6,8]
[[],[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]],[]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,1,3,4,8,5,6,7]
[[],[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]],[]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,8,5,7]
[[],[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]],[]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,1,3,4,7,8,5,6]
[[],[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]],[]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5,8]
[[],[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]],[]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,6,7,8,5]
[[],[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]],[]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6,8]
[[],[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]],[]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,1,3,4,5,8,6,7]
[[],[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]],[]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,8,6]
[[],[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]],[]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,8,7]
[[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8]
[[],[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6,8]
[[],[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]],[]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6,8]
[[],[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]],[]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5,8]
[[],[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]],[]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5,8]
[[],[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]],[]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4,8]
[[],[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]],[]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,2,5,4,8,6,7]
[[],[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]],[]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,8,6,7]
[[],[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]],[]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,2,6,4,8,5,7]
[[],[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]],[]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [3,1,2,7,4,8,5,6]
[[],[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]],[]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,8,5,7]
[[],[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]],[]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,8,4,7]
[[],[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]],[]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,2,7,3,8,5,6]
[[],[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]],[]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,7,3,8,4,6]
[[],[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [6,1,2,7,3,8,4,5]
[[],[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]],[]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,5,4,7,8,6]
[[],[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]],[]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,7,8,6]
[[],[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]],[]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,7,8,5]
[[],[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]],[]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,6,3,7,8,5]
[[],[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]],[]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [5,1,2,6,3,7,8,4]
[[],[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]],[]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,8,7]
[[],[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]],[]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,5,4,6,7,8]
[[],[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]],[]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [4,1,2,5,3,6,8,7]
[[],[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]],[]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7,8]
[[],[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]],[]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,8,7]
[[],[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]],[]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [3,1,2,7,4,5,8,6]
[[],[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]],[]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,5,7,8]
[[],[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]],[]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6,8]
[[],[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]],[]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [3,1,2,8,4,5,6,7]
[[],[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]],[]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,8,7]
[[],[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]],[]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,8,7]
[[],[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]],[]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,2,7,3,5,8,6]
[[],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,7,3,4,8,6]
[[],[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]],[]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [6,1,2,7,3,4,8,5]
[[],[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]],[]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,5,7,8]
[[],[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]],[]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7,8]
[[],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6,8]
[[],[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]],[]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [4,1,2,8,3,5,6,7]
[[],[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]],[]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6,8]
[[],[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]],[]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5,8]
[[],[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]],[]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,8,3,4,6,7]
[[],[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]],[]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [6,1,2,8,3,4,5,7]
[[],[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]],[]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,1,2,8,3,4,5,6]
[[],[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]],[]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6,8]
[[],[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]],[]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6,8]
[[],[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]],[]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,6,7,4,5,8]
[[],[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]],[]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5,8]
[[],[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]],[]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4,8]
[[],[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]],[]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,5,8,4,6,7]
[[],[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,8,3,6,7]
[[],[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]],[]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,8,4,5,7]
[[],[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]],[]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [3,1,2,7,8,4,5,6]
[[],[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]],[]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,6,8,3,5,7]
[[],[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]],[]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [5,1,2,6,8,3,4,7]
[[],[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]],[]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,7,8,3,5,6]
[[],[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]],[]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,7,8,3,4,6]
[[],[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]],[]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [6,1,2,7,8,3,4,5]
[[],[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]],[]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,7,4,8,6]
[[],[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]],[]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,5,7,8,4,6]
[[],[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]],[]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,7,3,8,6]
[[],[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]],[]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,7,8,3,6]
[[],[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]],[]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,2,6,7,4,8,5]
[[],[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]],[]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,2,6,7,8,4,5]
[[],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,6,7,3,8,5]
[[],[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]],[]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [5,1,2,6,7,3,8,4]
[[],[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]],[]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [4,1,2,6,7,8,3,5]
[[],[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]],[]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [5,1,2,6,7,8,3,4]
[[],[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]],[]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,5,6,4,8,7]
[[],[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]],[]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,2,5,6,4,7,8]
[[],[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]],[]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,5,6,8,4,7]
[[],[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]],[]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4,8]
[[],[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]],[]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,5,6,7,8,4]
[[],[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]],[]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,8,7]
[[],[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]],[]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7,8]
[[],[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]],[]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,5,6,8,3,7]
[[],[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]],[]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3,8]
[[],[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]],[]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [4,1,2,5,6,7,8,3]
[[],[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]],[]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,8,7]
[[],[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]],[]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [3,1,2,4,7,5,8,6]
[[],[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]],[]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,1,2,4,6,5,7,8]
[[],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8]
[[],[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]],[]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,8,5,6,7]
[[],[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]],[]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,8,5,7]
[[],[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]],[]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [3,1,2,4,7,8,5,6]
[[],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5,8]
[[],[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]],[]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,6,7,8,5]
[[],[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6,8]
[[],[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]],[]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [3,1,2,4,5,8,6,7]
[[],[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]],[]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,8,6]
[[],[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,8,7]
[[],[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]],[]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7,8]
[[],[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]],[]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,8,7]
[[],[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]],[]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [5,1,2,3,6,4,8,7]
[[],[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]],[]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,2,3,7,5,8,6]
[[],[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,7,4,8,6]
[[],[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [6,1,2,3,7,4,8,5]
[[],[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]],[]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7,8]
[[],[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]],[]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7,8]
[[],[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]],[]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6,8]
[[],[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]],[]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [4,1,2,3,8,5,6,7]
[[],[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]],[]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,3,7,4,6,8]
[[],[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]],[]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5,8]
[[],[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]],[]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,3,8,4,6,7]
[[],[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]],[]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,8,4,5,7]
[[],[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]],[]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,1,2,3,8,4,5,6]
[[],[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]],[]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,8,5,7]
[[],[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]],[]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,8,4,7]
[[],[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]],[]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,3,7,8,5,6]
[[],[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]],[]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,7,8,4,6]
[[],[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]],[]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [6,1,2,3,7,8,4,5]
[[],[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]],[]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5,8]
[[],[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]],[]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,6,7,8,5]
[[],[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]],[]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4,8]
[[],[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]],[]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,6,7,8,4]
[[],[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6,8]
[[],[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]],[]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [4,1,2,3,5,8,6,7]
[[],[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]],[]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,8,6]
[[],[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]],[]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,8,7]
[[],[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]],[]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7,8]
[[],[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]],[]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,7,6,8]
[[],[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]],[]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5,8]
[[],[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]],[]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [5,1,2,3,4,8,6,7]
[[],[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,8,5,7]
[[],[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]],[]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,1,2,3,4,8,5,6]
[[],[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]],[]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,8,6]
[[],[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]],[]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,8,5]
[[],[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]],[]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,8,7]
[[],[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]],[]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7,8]
[[],[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]],[]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,8,7]
[[],[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]],[]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,1,2,3,4,5,8,6]
[[],[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]],[]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7,8]
[[],[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]],[]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6,8]
[[],[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]],[]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7]
[[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7]
[[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,8,7]
[[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,8,7]
[[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,8,7]
[[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,8,7]
[[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,4,1,3,7,5,8,6]
[[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,7,5,8,6]
[[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,7,4,8,6]
[[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,6,1,3,7,4,8,5]
[[[]],[],[],[[],[],[]]] => [[[],[],[]],[],[],[[]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,7,4,8,6]
[[[]],[],[],[[],[[]]]] => [[[[]],[]],[],[],[[]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [4,5,1,2,7,3,8,6]
[[[]],[],[],[[[]],[]]] => [[[],[[]]],[],[],[[]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,6,1,2,7,4,8,5]
[[[]],[],[],[[[],[]]]] => [[[[],[]]],[],[],[[]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,6,1,2,7,3,8,5]
[[[]],[],[],[[[[]]]]] => [[[[[]]]],[],[],[[]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [5,6,1,2,7,3,8,4]
[[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7,8]
[[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7,8]
[[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7,8]
[[[]],[],[[]],[[],[]]] => [[[],[]],[[]],[],[[]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,5,1,2,6,4,7,8]
[[[]],[],[[]],[[[]]]] => [[[[]]],[[]],[],[[]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [4,5,1,2,6,3,7,8]
[[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6,8]
[[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,8,5,6,7]
[[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6,8]
[[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,8,5,6,7]
[[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6,8]
[[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5,8]
[[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,5,1,3,8,4,6,7]
[[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,8,4,5,7]
[[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,7,1,3,8,4,5,6]
[[[]],[],[[],[],[],[]]] => [[[],[],[],[]],[],[[]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6,8]
[[[]],[],[[],[],[[]]]] => [[[[]],[],[]],[],[[]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6,8]
[[[]],[],[[],[[]],[]]] => [[[],[[]],[]],[],[[]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,6,1,2,7,4,5,8]
[[[]],[],[[],[[],[]]]] => [[[[],[]],[]],[],[[]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5,8]
[[[]],[],[[],[[[]]]]] => [[[[[]]],[]],[],[[]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [5,6,1,2,7,3,4,8]
[[[]],[],[[[]],[],[]]] => [[[],[],[[]]],[],[[]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,5,1,2,8,4,6,7]
[[[]],[],[[[]],[[]]]] => [[[[]],[[]]],[],[[]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,8,3,6,7]
[[[]],[],[[[],[]],[]]] => [[[],[[],[]]],[],[[]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,8,4,5,7]
[[[]],[],[[[[]]],[]]] => [[[],[[[]]]],[],[[]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [3,7,1,2,8,4,5,6]
[[[]],[],[[[],[],[]]]] => [[[[],[],[]]],[],[[]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,8,3,5,7]
[[[]],[],[[[],[[]]]]] => [[[[[]],[]]],[],[[]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,6,1,2,8,3,4,7]
[[[]],[],[[[[]],[]]]] => [[[[],[[]]]],[],[[]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [4,7,1,2,8,3,5,6]
[[[]],[],[[[[],[]]]]] => [[[[[],[]]]],[],[[]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,7,1,2,8,3,4,6]
[[[]],[],[[[[[]]]]]] => [[[[[[]]]]],[],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [6,7,1,2,8,3,4,5]
[[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,8,5,7]
[[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,8,5,7]
[[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,8,4,7]
[[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,8,4,7]
[[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,8,3,7]
[[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,3,7,8,5,6]
[[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,6]
[[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,7,8,4,6]
[[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,6,1,3,7,8,4,5]
[[[]],[[]],[[],[],[]]] => [[[],[],[]],[[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,7,8,4,6]
[[[]],[[]],[[],[[]]]] => [[[[]],[]],[[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,7,8,3,6]
[[[]],[[]],[[[]],[]]] => [[[],[[]]],[[]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,6,1,2,7,8,4,5]
[[[]],[[]],[[[],[]]]] => [[[[],[]]],[[]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,6,1,2,7,8,3,5]
[[[]],[[]],[[[[]]]]] => [[[[[]]]],[[]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,6,1,2,7,8,3,4]
[[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5,8]
[[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,7,8,5]
[[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5,8]
[[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,7,8,5]
[[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4,8]
[[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,5,1,3,6,7,8,4]
[[[]],[[],[]],[[],[]]] => [[[],[]],[[],[]],[[]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4,8]
[[[]],[[],[]],[[[]]]] => [[[[]]],[[],[]],[[]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3,8]
[[[]],[[[]]],[[],[]]] => [[[],[]],[[[]]],[[]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,5,1,2,6,7,8,4]
[[[]],[[[]]],[[[]]]] => [[[[]]],[[[]]],[[]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,6,7,8,3]
[[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6,8]
[[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,3,5,8,6,7]
[[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,7,8,6]
[[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,8,7]
[[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7,8]
[[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6,8]
[[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,5,8,6,7]
[[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,7,8,6]
[[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,8,7]
[[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7,8]
[[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6,8]
[[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5,8]
[[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,5,1,3,4,8,6,7]
[[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,8,5,7]
[[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,7,1,3,4,8,5,6]
[[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,7,8,6]
[[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,7,8,5]
[[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,8,7]
[[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7,8]
[[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,8,7]
[[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,7,1,3,4,5,8,6]
[[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7,8]
[[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6,8]
[[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,8,1,3,4,5,6,7]
[[[]],[[],[],[],[],[]]] => [[[],[],[],[],[]],[[]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6,8]
[[[]],[[],[],[],[[]]]] => [[[[]],[],[],[]],[[]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6,8]
[[[]],[[],[],[[]],[]]] => [[[],[[]],[],[]],[[]]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5,8]
[[[]],[[],[],[[],[]]]] => [[[[],[]],[],[]],[[]]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5,8]
[[[]],[[],[],[[[]]]]] => [[[[[]]],[],[]],[[]]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [5,6,1,2,3,7,4,8]
[[[]],[[],[[]],[],[]]] => [[[],[],[[]],[]],[[]]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,5,1,2,4,8,6,7]
[[[]],[[],[[]],[[]]]] => [[[[]],[[]],[]],[[]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,8,6,7]
[[[]],[[],[[],[]],[]]] => [[[],[[],[]],[]],[[]]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,8,5,7]
[[[]],[[],[[[]]],[]]] => [[[],[[[]]],[]],[[]]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [3,7,1,2,4,8,5,6]
[[[]],[[],[[],[],[]]]] => [[[[],[],[]],[]],[[]]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,8,5,7]
[[[]],[[],[[],[[]]]]] => [[[[[]],[]],[]],[[]]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,8,4,7]
[[[]],[[],[[[]],[]]]] => [[[[],[[]]],[]],[[]]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [4,7,1,2,3,8,5,6]
[[[]],[[],[[[],[]]]]] => [[[[[],[]]],[]],[[]]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [5,7,1,2,3,8,4,6]
[[[]],[[],[[[[]]]]]] => [[[[[[]]]],[]],[[]]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,7,1,2,3,8,4,5]
[[[]],[[[]],[],[],[]]] => [[[],[],[],[[]]],[[]]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,7,8,6]
[[[]],[[[]],[],[[]]]] => [[[[]],[],[[]]],[[]]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3,7,8,6]
[[[]],[[[]],[[]],[]]] => [[[],[[]],[[]]],[[]]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,7,8,5]
[[[]],[[[]],[[],[]]]] => [[[[],[]],[[]]],[[]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [4,6,1,2,3,7,8,5]
[[[]],[[[]],[[[]]]]] => [[[[[]]],[[]]],[[]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [5,6,1,2,3,7,8,4]
[[[]],[[[],[]],[],[]]] => [[[],[],[[],[]]],[[]]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,8,7]
[[[]],[[[[]]],[],[]]] => [[[],[],[[[]]]],[[]]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7,8]
[[[]],[[[],[]],[[]]]] => [[[[]],[[],[]]],[[]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,3,6,8,7]
[[[]],[[[[]]],[[]]]] => [[[[]],[[[]]]],[[]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7,8]
[[[]],[[[],[],[]],[]]] => [[[],[[],[],[]]],[[]]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,8,7]
[[[]],[[[],[[]]],[]]] => [[[],[[[]],[]]],[[]]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,7,1,2,4,5,8,6]
[[[]],[[[[]],[]],[]]] => [[[],[[],[[]]]],[[]]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7,8]
[[[]],[[[[],[]]],[]]] => [[[],[[[],[]]]],[[]]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6,8]
[[[]],[[[[[]]]],[]]] => [[[],[[[[]]]]],[[]]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [3,8,1,2,4,5,6,7]
[[[]],[[[],[],[],[]]]] => [[[[],[],[],[]]],[[]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,8,7]
[[[]],[[[],[],[[]]]]] => [[[[[]],[],[]]],[[]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,8,7]
[[[]],[[[],[[]],[]]]] => [[[[],[[]],[]]],[[]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [4,7,1,2,3,5,8,6]
[[[]],[[[],[[],[]]]]] => [[[[[],[]],[]]],[[]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [5,7,1,2,3,4,8,6]
[[[]],[[[],[[[]]]]]] => [[[[[[]]],[]]],[[]]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,7,1,2,3,4,8,5]
[[[]],[[[[]],[],[]]]] => [[[[],[],[[]]]],[[]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7,8]
[[[]],[[[[]],[[]]]]] => [[[[[]],[[]]]],[[]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4,7,8]
[[[]],[[[[],[]],[]]]] => [[[[],[[],[]]]],[[]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6,8]
[[[]],[[[[[]]],[]]]] => [[[[],[[[]]]]],[[]]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [4,8,1,2,3,5,6,7]
[[[]],[[[[],[],[]]]]] => [[[[[],[],[]]]],[[]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6,8]
[[[]],[[[[],[[]]]]]] => [[[[[[]],[]]]],[[]]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5,8]
[[[]],[[[[[]],[]]]]] => [[[[[],[[]]]]],[[]]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [5,8,1,2,3,4,6,7]
[[[]],[[[[[],[]]]]]] => [[[[[[],[]]]]],[[]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,8,1,2,3,4,5,7]
[[[]],[[[[[[]]]]]]] => [[[[[[[]]]]]],[[]]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,8,1,2,3,4,5,6]
[[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,8,7]
[[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7]
[[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,8,7]
[[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,8,7]
[[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,8,7]
[[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,8,7]
[[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,8,7]
[[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,8,7]
[[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,8,7]
[[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,8,7]
[[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,4,1,7,3,5,8,6]
[[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,4,7,1,3,5,8,6]
[[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,7,2,5,8,6]
[[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,7,1,2,5,8,6]
[[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,7,3,4,8,6]
[[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,6,1,7,3,4,8,5]
[[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,5,7,1,3,4,8,6]
[[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,6,7,1,3,4,8,5]
[[[],[]],[],[[],[],[]]] => [[[],[],[]],[],[[],[]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,7,2,4,8,6]
[[[],[]],[],[[],[[]]]] => [[[[]],[]],[],[[],[]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,5,1,7,2,3,8,6]
[[[],[]],[],[[[]],[]]] => [[[],[[]]],[],[[],[]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,6,1,7,2,4,8,5]
[[[],[]],[],[[[],[]]]] => [[[[],[]]],[],[[],[]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,6,1,7,2,3,8,5]
[[[],[]],[],[[[[]]]]] => [[[[[]]]],[],[[],[]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [5,6,1,7,2,3,8,4]
[[[[]]],[],[[],[],[]]] => [[[],[],[]],[],[[[]]]] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,7,1,2,4,8,6]
[[[[]]],[],[[],[[]]]] => [[[[]],[]],[],[[[]]]] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [4,5,7,1,2,3,8,6]
[[[[]]],[],[[[]],[]]] => [[[],[[]]],[],[[[]]]] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,6,7,1,2,4,8,5]
[[[[]]],[],[[[],[]]]] => [[[[],[]]],[],[[[]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,6,7,1,2,3,8,5]
[[[[]]],[],[[[[]]]]] => [[[[[]]]],[],[[[]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [5,6,7,1,2,3,8,4]
[[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7,8]
[[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7,8]
[[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7,8]
[[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7,8]
[[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7,8]
[[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7,8]
[[[],[]],[[]],[[],[]]] => [[[],[]],[[]],[[],[]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7,8]
[[[],[]],[[]],[[[]]]] => [[[[]]],[[]],[[],[]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7,8]
[[[[]]],[[]],[[],[]]] => [[[],[]],[[]],[[[]]]] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7,8]
[[[[]]],[[]],[[[]]]] => [[[[]]],[[]],[[[]]]] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7,8]
[[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6,8]
[[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,8,3,5,6,7]
[[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6,8]
[[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,4,8,1,3,5,6,7]
[[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6,8]
[[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,4,1,8,2,5,6,7]
[[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6,8]
[[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,4,8,1,2,5,6,7]
[[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6,8]
[[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5,8]
[[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,5,1,8,3,4,6,7]
[[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,6,1,8,3,4,5,7]
[[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,7,1,8,3,4,5,6]
[[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6,8]
[[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5,8]
[[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,5,8,1,3,4,6,7]
[[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,6,8,1,3,4,5,7]
[[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,7,8,1,3,4,5,6]
[[[],[]],[[],[],[],[]]] => [[[],[],[],[]],[[],[]]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6,8]
[[[],[]],[[],[],[[]]]] => [[[[]],[],[]],[[],[]]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [4,5,1,7,2,3,6,8]
[[[],[]],[[],[[]],[]]] => [[[],[[]],[]],[[],[]]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,6,1,7,2,4,5,8]
[[[],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5,8]
[[[],[]],[[],[[[]]]]] => [[[[[]]],[]],[[],[]]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4,8]
[[[],[]],[[[]],[],[]]] => [[[],[],[[]]],[[],[]]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,5,1,8,2,4,6,7]
[[[],[]],[[[]],[[]]]] => [[[[]],[[]]],[[],[]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,8,2,3,6,7]
[[[],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,6,1,8,2,4,5,7]
[[[],[]],[[[[]]],[]]] => [[[],[[[]]]],[[],[]]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,7,1,8,2,4,5,6]
[[[],[]],[[[],[],[]]]] => [[[[],[],[]]],[[],[]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,8,2,3,5,7]
[[[],[]],[[[],[[]]]]] => [[[[[]],[]]],[[],[]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,6,1,8,2,3,4,7]
[[[],[]],[[[[]],[]]]] => [[[[],[[]]]],[[],[]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [4,7,1,8,2,3,5,6]
[[[],[]],[[[[],[]]]]] => [[[[[],[]]]],[[],[]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,7,1,8,2,3,4,6]
[[[],[]],[[[[[]]]]]] => [[[[[[]]]]],[[],[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [6,7,1,8,2,3,4,5]
[[[[]]],[[],[],[],[]]] => [[[],[],[],[]],[[[]]]] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6,8]
[[[[]]],[[],[],[[]]]] => [[[[]],[],[]],[[[]]]] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [4,5,7,1,2,3,6,8]
[[[[]]],[[],[[]],[]]] => [[[],[[]],[]],[[[]]]] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5,8]
[[[[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5,8]
[[[[]]],[[],[[[]]]]] => [[[[[]]],[]],[[[]]]] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4,8]
[[[[]]],[[[]],[],[]]] => [[[],[],[[]]],[[[]]]] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,5,8,1,2,4,6,7]
[[[[]]],[[[]],[[]]]] => [[[[]],[[]]],[[[]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [4,5,8,1,2,3,6,7]
[[[[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[]]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,6,8,1,2,4,5,7]
[[[[]]],[[[[]]],[]]] => [[[],[[[]]]],[[[]]]] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,7,8,1,2,4,5,6]
[[[[]]],[[[],[],[]]]] => [[[[],[],[]]],[[[]]]] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,8,1,2,3,5,7]
[[[[]]],[[[],[[]]]]] => [[[[[]],[]]],[[[]]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,6,8,1,2,3,4,7]
[[[[]]],[[[[]],[]]]] => [[[[],[[]]]],[[[]]]] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [4,7,8,1,2,3,5,6]
[[[[]]],[[[[],[]]]]] => [[[[[],[]]]],[[[]]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,7,8,1,2,3,4,6]
[[[[]]],[[[[[]]]]]] => [[[[[[]]]]],[[[]]]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,7,8,1,2,3,4,5]
[[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,8,5,7]
[[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,8,3,5,7]
[[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,8,5,7]
[[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,8,3,5,7]
[[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7]
[[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,8,5,7]
[[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,8,2,5,7]
[[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,8,5,7]
[[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,8,2,5,7]
[[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,8,1,2,5,7]
[[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,8,4,7]
[[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,5,1,6,8,3,4,7]
[[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,8,4,7]
[[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,5,6,1,8,3,4,7]
[[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,5,6,8,1,3,4,7]
[[[],[],[]],[],[[],[]]] => [[[],[]],[],[[],[],[]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,8,4,7]
[[[],[],[]],[],[[[]]]] => [[[[]]],[],[[],[],[]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,8,3,7]
[[[],[[]]],[],[[],[]]] => [[[],[]],[],[[[]],[]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,5,1,6,8,2,4,7]
[[[],[[]]],[],[[[]]]] => [[[[]]],[],[[[]],[]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [4,5,1,6,8,2,3,7]
[[[[]],[]],[],[[],[]]] => [[[],[]],[],[[],[[]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,8,4,7]
[[[[]],[]],[],[[[]]]] => [[[[]]],[],[[],[[]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,8,3,7]
[[[[],[]]],[],[[],[]]] => [[[],[]],[],[[[],[]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,5,6,1,8,2,4,7]
[[[[],[]]],[],[[[]]]] => [[[[]]],[],[[[],[]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [4,5,6,1,8,2,3,7]
[[[[[]]]],[],[[],[]]] => [[[],[]],[],[[[[]]]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,5,6,8,1,2,4,7]
[[[[[]]]],[],[[[]]]] => [[[[]]],[],[[[[]]]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,8,1,2,3,7]
[[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,4,1,7,3,8,5,6]
[[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,7,8,3,5,6]
[[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,7,1,3,8,5,6]
[[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,4,7,1,8,3,5,6]
[[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,7,8,1,3,5,6]
[[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,7,2,8,5,6]
[[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,7,8,2,5,6]
[[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,8,5,6]
[[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,7,1,8,2,5,6]
[[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,7,8,1,2,5,6]
[[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,7,3,8,4,6]
[[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,6,1,7,3,8,4,5]
[[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,7,8,3,4,6]
[[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,6,1,7,8,3,4,5]
[[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,5,7,1,3,8,4,6]
[[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,6,7,1,3,8,4,5]
[[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,5,7,1,8,3,4,6]
[[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,6,7,1,8,3,4,5]
[[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,5,7,8,1,3,4,6]
[[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,6,7,8,1,3,4,5]
[[[],[],[]],[[],[],[]]] => [[[],[],[]],[[],[],[]]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,7,2,8,4,6]
[[[],[],[]],[[],[[]]]] => [[[[]],[]],[[],[],[]]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,5,1,7,2,8,3,6]
[[[],[],[]],[[[]],[]]] => [[[],[[]]],[[],[],[]]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,6,1,7,2,8,4,5]
[[[],[],[]],[[[],[]]]] => [[[[],[]]],[[],[],[]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,6,1,7,2,8,3,5]
[[[],[],[]],[[[[]]]]] => [[[[[]]]],[[],[],[]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [5,6,1,7,2,8,3,4]
[[[],[[]]],[[],[],[]]] => [[[],[],[]],[[[]],[]]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,7,8,2,4,6]
[[[],[[]]],[[],[[]]]] => [[[[]],[]],[[[]],[]]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,5,1,7,8,2,3,6]
[[[],[[]]],[[[]],[]]] => [[[],[[]]],[[[]],[]]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,6,1,7,8,2,4,5]
[[[],[[]]],[[[],[]]]] => [[[[],[]]],[[[]],[]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,6,1,7,8,2,3,5]
[[[],[[]]],[[[[]]]]] => [[[[[]]]],[[[]],[]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [5,6,1,7,8,2,3,4]
[[[[]],[]],[[],[],[]]] => [[[],[],[]],[[],[[]]]] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,5,7,1,2,8,4,6]
[[[[]],[]],[[],[[]]]] => [[[[]],[]],[[],[[]]]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [4,5,7,1,2,8,3,6]
[[[[]],[]],[[[]],[]]] => [[[],[[]]],[[],[[]]]] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,6,7,1,2,8,4,5]
[[[[]],[]],[[[],[]]]] => [[[[],[]]],[[],[[]]]] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,6,7,1,2,8,3,5]
[[[[]],[]],[[[[]]]]] => [[[[[]]]],[[],[[]]]] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [5,6,7,1,2,8,3,4]
[[[[],[]]],[[],[],[]]] => [[[],[],[]],[[[],[]]]] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,5,7,1,8,2,4,6]
[[[[],[]]],[[],[[]]]] => [[[[]],[]],[[[],[]]]] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [4,5,7,1,8,2,3,6]
[[[[],[]]],[[[]],[]]] => [[[],[[]]],[[[],[]]]] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,6,7,1,8,2,4,5]
[[[[],[]]],[[[],[]]]] => [[[[],[]]],[[[],[]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,6,7,1,8,2,3,5]
[[[[],[]]],[[[[]]]]] => [[[[[]]]],[[[],[]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [5,6,7,1,8,2,3,4]
[[[[[]]]],[[],[],[]]] => [[[],[],[]],[[[[]]]]] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,7,8,1,2,4,6]
[[[[[]]]],[[],[[]]]] => [[[[]],[]],[[[[]]]]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,5,7,8,1,2,3,6]
[[[[[]]]],[[[]],[]]] => [[[],[[]]],[[[[]]]]] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,6,7,8,1,2,4,5]
[[[[[]]]],[[[],[]]]] => [[[[],[]]],[[[[]]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,6,7,8,1,2,3,5]
[[[[[]]]],[[[[]]]]] => [[[[[]]]],[[[[]]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,1,2,3,4]
[[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5,8]
[[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,6,3,7,8,5]
[[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5,8]
[[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,6,7,3,8,5]
[[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,6,7,8,3,5]
[[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5,8]
[[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,6,1,3,7,8,5]
[[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5,8]
[[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5,8]
[[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,6,1,7,3,8,5]
[[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,6,1,7,8,3,5]
[[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,6,7,1,3,8,5]
[[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,6,7,1,8,3,5]
[[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,7,8,1,3,5]
[[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5,8]
[[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,6,2,7,8,5]
[[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5,8]
[[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,6,7,2,8,5]
[[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,6,7,8,2,5]
[[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5,8]
[[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [3,4,6,1,2,7,8,5]
[[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5,8]
[[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5,8]
[[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [3,4,6,1,7,2,8,5]
[[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [3,4,6,1,7,8,2,5]
[[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,6,7,1,2,8,5]
[[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,4,6,7,1,8,2,5]
[[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,6,7,8,1,2,5]
[[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4,8]
[[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5,1,6,3,7,8,4]
[[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4,8]
[[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,4]
[[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,4]
[[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4,8]
[[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5,6,1,3,7,8,4]
[[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4,8]
[[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4,8]
[[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,7,3,8,4]
[[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5,6,1,7,8,3,4]
[[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5,6,7,1,3,8,4]
[[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5,6,7,1,8,3,4]
[[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5,6,7,8,1,3,4]
[[[],[],[],[]],[[],[]]] => [[[],[]],[[],[],[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4,8]
[[[],[],[],[]],[[[]]]] => [[[[]]],[[],[],[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3,8]
[[[],[],[[]]],[[],[]]] => [[[],[]],[[[]],[],[]]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5,1,6,2,7,8,4]
[[[],[],[[]]],[[[]]]] => [[[[]]],[[[]],[],[]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [4,5,1,6,2,7,8,3]
[[[],[[]],[]],[[],[]]] => [[[],[]],[[],[[]],[]]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4,8]
[[[],[[]],[]],[[[]]]] => [[[[]]],[[],[[]],[]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3,8]
[[[],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5,1,6,7,2,8,4]
[[[],[[],[]]],[[[]]]] => [[[[]]],[[[],[]],[]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [4,5,1,6,7,2,8,3]
[[[],[[[]]]],[[],[]]] => [[[],[]],[[[[]]],[]]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5,1,6,7,8,2,4]
[[[],[[[]]]],[[[]]]] => [[[[]]],[[[[]]],[]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,5,1,6,7,8,2,3]
[[[[]],[],[]],[[],[]]] => [[[],[]],[[],[],[[]]]] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4,8]
[[[[]],[],[]],[[[]]]] => [[[[]]],[[],[],[[]]]] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3,8]
[[[[]],[[]]],[[],[]]] => [[[],[]],[[[]],[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5,6,1,2,7,8,4]
[[[[]],[[]]],[[[]]]] => [[[[]]],[[[]],[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [4,5,6,1,2,7,8,3]
[[[[],[]],[]],[[],[]]] => [[[],[]],[[],[[],[]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4,8]
[[[[],[]],[]],[[[]]]] => [[[[]]],[[],[[],[]]]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3,8]
[[[[[]]],[]],[[],[]]] => [[[],[]],[[],[[[]]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4,8]
[[[[[]]],[]],[[[]]]] => [[[[]]],[[],[[[]]]]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3,8]
[[[[],[],[]]],[[],[]]] => [[[],[]],[[[],[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5,6,1,7,2,8,4]
[[[[],[],[]]],[[[]]]] => [[[[]]],[[[],[],[]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5,6,1,7,2,8,3]
[[[[],[[]]]],[[],[]]] => [[[],[]],[[[[]],[]]]] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5,6,1,7,8,2,4]
[[[[],[[]]]],[[[]]]] => [[[[]]],[[[[]],[]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [4,5,6,1,7,8,2,3]
[[[[[]],[]]],[[],[]]] => [[[],[]],[[[],[[]]]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5,6,7,1,2,8,4]
[[[[[]],[]]],[[[]]]] => [[[[]]],[[[],[[]]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [4,5,6,7,1,2,8,3]
[[[[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]]]]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5,6,7,1,8,2,4]
[[[[[],[]]]],[[[]]]] => [[[[]]],[[[[],[]]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5,6,7,1,8,2,3]
[[[[[[]]]]],[[],[]]] => [[[],[]],[[[[[]]]]]] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5,6,7,8,1,2,4]
[[[[[[]]]]],[[[]]]] => [[[[]]],[[[[[]]]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,1,2,3]
[[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6,8]
[[[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,5,3,8,6,7]
[[[],[],[[]],[]],[],[]] => [[],[],[[],[[]],[],[]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,7,8,6]
[[[],[],[[],[]]],[],[]] => [[],[],[[[],[]],[],[]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,8,7]
[[[],[],[[[]]]],[],[]] => [[],[],[[[[]]],[],[]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7,8]
[[[],[[]],[],[]],[],[]] => [[],[],[[],[],[[]],[]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6,8]
[[[],[[]],[[]]],[],[]] => [[],[],[[[]],[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,5,8,3,6,7]
[[[],[[],[]],[]],[],[]] => [[],[],[[],[[],[]],[]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,1,5,7,3,8,6]
[[[],[[[]]],[]],[],[]] => [[],[],[[],[[[]]],[]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,5,7,8,3,6]
[[[],[[],[],[]]],[],[]] => [[],[],[[[],[],[]],[]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,8,7]
[[[],[[],[[]]]],[],[]] => [[],[],[[[[]],[]],[]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7,8]
[[[],[[[]],[]]],[],[]] => [[],[],[[[],[[]]],[]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,4,1,5,6,8,3,7]
[[[],[[[],[]]]],[],[]] => [[],[],[[[[],[]]],[]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3,8]
[[[],[[[[]]]]],[],[]] => [[],[],[[[[[]]]],[]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1,5,6,7,8,3]
[[[[]],[],[],[]],[],[]] => [[],[],[[],[],[],[[]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6,8]
[[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,4,5,1,3,8,6,7]
[[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,7,8,6]
[[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,8,7]
[[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7,8]
[[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6,8]
[[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6,8]
[[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,4,5,1,8,3,6,7]
[[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,4,5,8,1,3,6,7]
[[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,1,7,3,8,6]
[[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,5,1,7,8,3,6]
[[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,5,7,1,3,8,6]
[[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,5,7,1,8,3,6]
[[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,5,7,8,1,3,6]
[[[[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,8,7]
[[[[],[],[[]]]],[],[]] => [[],[],[[[[]],[],[]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7,8]
[[[[],[[]],[]]],[],[]] => [[],[],[[[],[[]],[]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,4,5,1,6,8,3,7]
[[[[],[[],[]]]],[],[]] => [[],[],[[[[],[]],[]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3,8]
[[[[],[[[]]]]],[],[]] => [[],[],[[[[[]]],[]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,4,5,1,6,7,8,3]
[[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,8,7]
[[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7,8]
[[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,4,5,6,1,8,3,7]
[[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,4,5,6,8,1,3,7]
[[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3,8]
[[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,4,5,6,1,7,8,3]
[[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3,8]
[[[[[[],[]]]]],[],[]] => [[],[],[[[[[],[]]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,4,5,6,7,1,8,3]
[[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,5,6,7,8,1,3]
[[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6,8]
[[[],[],[],[[]]],[[]]] => [[[]],[[[]],[],[],[]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [3,4,1,5,2,8,6,7]
[[[],[],[[]],[]],[[]]] => [[[]],[[],[[]],[],[]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,7,8,6]
[[[],[],[[],[]]],[[]]] => [[[]],[[[],[]],[],[]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,8,7]
[[[],[],[[[]]]],[[]]] => [[[]],[[[[]]],[],[]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7,8]
[[[],[[]],[],[]],[[]]] => [[[]],[[],[],[[]],[]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6,8]
[[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,4,1,5,8,2,6,7]
[[[],[[],[]],[]],[[]]] => [[[]],[[],[[],[]],[]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [3,4,1,5,7,2,8,6]
[[[],[[[]]],[]],[[]]] => [[[]],[[],[[[]]],[]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,5,7,8,2,6]
[[[],[[],[],[]]],[[]]] => [[[]],[[[],[],[]],[]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,8,7]
[[[],[[],[[]]]],[[]]] => [[[]],[[[[]],[]],[]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7,8]
[[[],[[[]],[]]],[[]]] => [[[]],[[[],[[]]],[]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [3,4,1,5,6,8,2,7]
[[[],[[[],[]]]],[[]]] => [[[]],[[[[],[]]],[]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2,8]
[[[],[[[[]]]]],[[]]] => [[[]],[[[[[]]]],[]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1,5,6,7,8,2]
[[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6,8]
[[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,4,5,1,2,8,6,7]
[[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,7,8,6]
[[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,8,7]
[[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7,8]
[[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6,8]
[[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6,8]
[[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [3,4,5,1,8,2,6,7]
[[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,8,1,2,6,7]
[[[[],[],[]],[]],[[]]] => [[[]],[[],[[],[],[]]]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [3,4,5,1,7,2,8,6]
[[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [3,4,5,1,7,8,2,6]
[[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,8,6]
[[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,7,1,8,2,6]
[[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,7,8,1,2,6]
[[[[],[],[],[]]],[[]]] => [[[]],[[[],[],[],[]]]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,8,7]
[[[[],[],[[]]]],[[]]] => [[[]],[[[[]],[],[]]]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7,8]
[[[[],[[]],[]]],[[]]] => [[[]],[[[],[[]],[]]]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [3,4,5,1,6,8,2,7]
[[[[],[[],[]]]],[[]]] => [[[]],[[[[],[]],[]]]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2,8]
[[[[],[[[]]]]],[[]]] => [[[]],[[[[[]]],[]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [3,4,5,1,6,7,8,2]
[[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,8,7]
[[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7,8]
[[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,4,5,6,1,8,2,7]
[[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,6,8,1,2,7]
[[[[[],[],[]]]],[[]]] => [[[]],[[[[],[],[]]]]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2,8]
[[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,4,5,6,1,7,8,2]
[[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2,8]
[[[[[[],[]]]]],[[]]] => [[[]],[[[[[],[]]]]]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,4,5,6,7,1,8,2]
[[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2]
[[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6,8]
[[[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5,8]
[[[],[],[],[[]],[]],[]] => [[],[[],[[]],[],[],[]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,5,4,8,6,7]
[[[],[],[],[[],[]]],[]] => [[],[[[],[]],[],[],[]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,8,5,7]
[[[],[],[],[[[]]]],[]] => [[],[[[[]]],[],[],[]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,7,4,8,5,6]
[[[],[],[[]],[],[]],[]] => [[],[[],[],[[]],[],[]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,7,8,6]
[[[],[],[[]],[[]]],[]] => [[],[[[]],[[]],[],[]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,7,8,5]
[[[],[],[[],[]],[]],[]] => [[],[[],[[],[]],[],[]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,8,7]
[[[],[],[[[]]],[]],[]] => [[],[[],[[[]]],[],[]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7,8]
[[[],[],[[],[],[]]],[]] => [[],[[[],[],[]],[],[]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,8,7]
[[[],[],[[],[[]]]],[]] => [[],[[[[]],[]],[],[]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,7,4,5,8,6]
[[[],[],[[[]],[]]],[]] => [[],[[[],[[]]],[],[]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7,8]
[[[],[],[[[],[]]]],[]] => [[],[[[[],[]]],[],[]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6,8]
[[[],[],[[[[]]]]],[]] => [[],[[[[[]]]],[],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,3,1,8,4,5,6,7]
[[[],[[]],[],[],[]],[]] => [[],[[],[],[],[[]],[]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6,8]
[[[],[[]],[],[[]]],[]] => [[],[[[]],[],[[]],[]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5,8]
[[[],[[]],[[]],[]],[]] => [[],[[],[[]],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,5,8,4,6,7]
[[[],[[]],[[],[]]],[]] => [[],[[[],[]],[[]],[]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,8,4,5,7]
[[[],[[]],[[[]]]],[]] => [[],[[[[]]],[[]],[]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,1,7,8,4,5,6]
[[[],[[],[]],[],[]],[]] => [[],[[],[],[[],[]],[]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,7,4,8,6]
[[[],[[[]]],[],[]],[]] => [[],[[],[],[[[]]],[]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,7,8,4,6]
[[[],[[],[]],[[]]],[]] => [[],[[[]],[[],[]],[]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,3,1,6,7,4,8,5]
[[[],[[[]]],[[]]],[]] => [[],[[[]],[[[]]],[]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,3,1,6,7,8,4,5]
[[[],[[],[],[]],[]],[]] => [[],[[],[[],[],[]],[]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,8,7]
[[[],[[],[[]]],[]],[]] => [[],[[],[[[]],[]],[]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7,8]
[[[],[[[]],[]],[]],[]] => [[],[[],[[],[[]]],[]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,5,6,8,4,7]
[[[],[[[],[]]],[]],[]] => [[],[[],[[[],[]]],[]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4,8]
[[[],[[[[]]]],[]],[]] => [[],[[],[[[[]]]],[]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,5,6,7,8,4]
[[[],[[],[],[],[]]],[]] => [[],[[[],[],[],[]],[]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,8,7]
[[[],[[],[],[[]]]],[]] => [[],[[[[]],[],[]],[]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,4,7,5,8,6]
[[[],[[],[[]],[]]],[]] => [[],[[[],[[]],[]],[]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7,8]
[[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8]
[[[],[[],[[[]]]]],[]] => [[],[[[[[]]],[]],[]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,7]
[[[],[[[]],[],[]]],[]] => [[],[[[],[],[[]]],[]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,8,5,7]
[[[],[[[]],[[]]]],[]] => [[],[[[[]],[[]]],[]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,1,4,7,8,5,6]
[[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8]
[[[],[[[[]]],[]]],[]] => [[],[[[],[[[]]]],[]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,8,5]
[[[],[[[],[],[]]]],[]] => [[],[[[[],[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6,8]
[[[],[[[],[[]]]]],[]] => [[],[[[[[]],[]]],[]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,5,8,6,7]
[[[],[[[[]],[]]]],[]] => [[],[[[[],[[]]]],[]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,7,8,6]
[[[],[[[[],[]]]]],[]] => [[],[[[[[],[]]]],[]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,8,7]
[[[],[[[[[]]]]]],[]] => [[],[[[[[[]]]]],[]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7,8]
[[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6,8]
[[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5,8]
[[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,3,5,1,4,8,6,7]
[[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,8,5,7]
[[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,7,1,4,8,5,6]
[[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,7,8,6]
[[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,7,8,5]
[[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,8,7]
[[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7,8]
[[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,8,7]
[[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,7,1,4,5,8,6]
[[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7,8]
[[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6,8]
[[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,3,8,1,4,5,6,7]
[[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6,8]
[[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6,8]
[[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5,8]
[[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5,8]
[[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,3,5,1,8,4,6,7]
[[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,3,5,8,1,4,6,7]
[[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,8,4,5,7]
[[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,7,1,8,4,5,6]
[[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,3,6,8,1,4,5,7]
[[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,7,8,1,4,5,6]
[[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,7,4,8,6]
[[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,7,8,4,6]
[[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,8,6]
[[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,7,1,8,4,6]
[[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,7,8,1,4,6]
[[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,3,6,1,7,4,8,5]
[[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,3,6,1,7,8,4,5]
[[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,3,6,7,1,4,8,5]
[[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,1,8,4,5]
[[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,3,6,7,8,1,4,5]
[[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,8,7]
[[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7,8]
[[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,3,5,1,6,8,4,7]
[[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4,8]
[[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,8,4]
[[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,8,7]
[[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7,8]
[[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,8,4,7]
[[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,3,5,6,8,1,4,7]
[[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4,8]
[[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,3,5,6,1,7,8,4]
[[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4,8]
[[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,3,5,6,7,1,8,4]
[[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,5,6,7,8,1,4]
[[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,8,7]
[[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,4,1,7,5,8,6]
[[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7,8]
[[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6,8]
[[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,3,4,1,8,5,6,7]
[[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,8,5,7]
[[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,4,1,7,8,5,6]
[[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5,8]
[[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,6,7,8,5]
[[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6,8]
[[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,3,4,1,5,8,6,7]
[[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,7,8,6]
[[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,8,7]
[[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7,8]
[[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,8,7]
[[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,4,7,1,5,8,6]
[[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7,8]
[[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6,8]
[[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,3,4,8,1,5,6,7]
[[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,8,5,7]
[[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,8,1,5,7]
[[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,4,7,1,8,5,6]
[[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,4,7,8,1,5,6]
[[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5,8]
[[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,3,4,6,1,7,8,5]
[[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5,8]
[[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,3,4,6,7,1,8,5]
[[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,6,7,8,1,5]
[[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6,8]
[[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,3,4,5,1,8,6,7]
[[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,7,8,6]
[[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,8,7]
[[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7,8]
[[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6,8]
[[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,3,4,5,8,1,6,7]
[[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,4,5,7,1,8,6]
[[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,5,7,8,1,6]
[[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,8,7]
[[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7,8]
[[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,4,5,6,8,1,7]
[[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8]
[[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1]
[[[],[],[],[],[],[],[]]] => [[[],[],[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6,8]
[[[],[],[],[],[],[[]]]] => [[[[]],[],[],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6,8]
[[[],[],[],[],[[]],[]]] => [[[],[[]],[],[],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5,8]
[[[],[],[],[],[[],[]]]] => [[[[],[]],[],[],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5,8]
[[[],[],[],[],[[[]]]]] => [[[[[]]],[],[],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4,8]
[[[],[],[],[[]],[],[]]] => [[[],[],[[]],[],[],[]]] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,5,4,8,6,7]
[[[],[],[],[[]],[[]]]] => [[[[]],[[]],[],[],[]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,8,6,7]
[[[],[],[],[[],[]],[]]] => [[[],[[],[]],[],[],[]]] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,8,5,7]
[[[],[],[],[[[]]],[]]] => [[[],[[[]]],[],[],[]]] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,3,2,7,4,8,5,6]
[[[],[],[],[[],[],[]]]] => [[[[],[],[]],[],[],[]]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,8,5,7]
[[[],[],[],[[],[[]]]]] => [[[[[]],[]],[],[],[]]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,8,4,7]
[[[],[],[],[[[]],[]]]] => [[[[],[[]]],[],[],[]]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,2,7,3,8,5,6]
[[[],[],[],[[[],[]]]]] => [[[[[],[]]],[],[],[]]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,7,3,8,4,6]
[[[],[],[],[[[[]]]]]] => [[[[[[]]]],[],[],[]]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,6,2,7,3,8,4,5]
[[[],[],[[]],[],[],[]]] => [[[],[],[],[[]],[],[]]] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,7,8,6]
[[[],[],[[]],[],[[]]]] => [[[[]],[],[[]],[],[]]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3,7,8,6]
[[[],[],[[]],[[]],[]]] => [[[],[[]],[[]],[],[]]] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,3,2,6,4,7,8,5]
[[[],[],[[]],[[],[]]]] => [[[[],[]],[[]],[],[]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,3,7,8,5]
[[[],[],[[]],[[[]]]]] => [[[[[]]],[[]],[],[]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,5,2,6,3,7,8,4]
[[[],[],[[],[]],[],[]]] => [[[],[],[[],[]],[],[]]] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,5,4,6,8,7]
[[[],[],[[[]]],[],[]]] => [[[],[],[[[]]],[],[]]] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7,8]
[[[],[],[[],[]],[[]]]] => [[[[]],[[],[]],[],[]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,8,7]
[[[],[],[[[]]],[[]]]] => [[[[]],[[[]]],[],[]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7,8]
[[[],[],[[],[],[]],[]]] => [[[],[[],[],[]],[],[]]] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5,8,7]
[[[],[],[[],[[]]],[]]] => [[[],[[[]],[]],[],[]]] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,3,2,7,4,5,8,6]
[[[],[],[[[]],[]],[]]] => [[[],[[],[[]]],[],[]]] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7,8]
[[[],[],[[[],[]]],[]]] => [[[],[[[],[]]],[],[]]] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6,8]
[[[],[],[[[[]]]],[]]] => [[[],[[[[]]]],[],[]]] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,3,2,8,4,5,6,7]
[[[],[],[[],[],[],[]]]] => [[[[],[],[],[]],[],[]]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,8,7]
[[[],[],[[],[],[[]]]]] => [[[[[]],[],[]],[],[]]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,8,7]
[[[],[],[[],[[]],[]]]] => [[[[],[[]],[]],[],[]]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,2,7,3,5,8,6]
[[[],[],[[],[[],[]]]]] => [[[[[],[]],[]],[],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,7,3,4,8,6]
[[[],[],[[],[[[]]]]]] => [[[[[[]]],[]],[],[]]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,6,2,7,3,4,8,5]
[[[],[],[[[]],[],[]]]] => [[[[],[],[[]]],[],[]]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7,8]
[[[],[],[[[]],[[]]]]] => [[[[[]],[[]]],[],[]]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7,8]
[[[],[],[[[],[]],[]]]] => [[[[],[[],[]]],[],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6,8]
[[[],[],[[[[]]],[]]]] => [[[[],[[[]]]],[],[]]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,4,2,8,3,5,6,7]
[[[],[],[[[],[],[]]]]] => [[[[[],[],[]]],[],[]]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6,8]
[[[],[],[[[],[[]]]]]] => [[[[[[]],[]]],[],[]]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5,8]
[[[],[],[[[[]],[]]]]] => [[[[[],[[]]]],[],[]]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,5,2,8,3,4,6,7]
[[[],[],[[[[],[]]]]]] => [[[[[[],[]]]],[],[]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,6,2,8,3,4,5,7]
[[[],[],[[[[[]]]]]]] => [[[[[[[]]]]],[],[]]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,7,2,8,3,4,5,6]
[[[],[[]],[],[],[],[]]] => [[[],[],[],[],[[]],[]]] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6,8]
[[[],[[]],[],[],[[]]]] => [[[[]],[],[],[[]],[]]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6,8]
[[[],[[]],[],[[]],[]]] => [[[],[[]],[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5,8]
[[[],[[]],[],[[],[]]]] => [[[[],[]],[],[[]],[]]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5,8]
[[[],[[]],[],[[[]]]]] => [[[[[]]],[],[[]],[]]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4,8]
[[[],[[]],[[]],[],[]]] => [[[],[],[[]],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,5,8,4,6,7]
[[[],[[]],[[]],[[]]]] => [[[[]],[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,8,3,6,7]
[[[],[[]],[[],[]],[]]] => [[[],[[],[]],[[]],[]]] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,8,4,5,7]
[[[],[[]],[[[]]],[]]] => [[[],[[[]]],[[]],[]]] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,3,2,7,8,4,5,6]
[[[],[[]],[[],[],[]]]] => [[[[],[],[]],[[]],[]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,8,3,5,7]
[[[],[[]],[[],[[]]]]] => [[[[[]],[]],[[]],[]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,5,2,6,8,3,4,7]
[[[],[[]],[[[]],[]]]] => [[[[],[[]]],[[]],[]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,7,8,3,5,6]
[[[],[[]],[[[],[]]]]] => [[[[[],[]]],[[]],[]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,7,8,3,4,6]
[[[],[[]],[[[[]]]]]] => [[[[[[]]]],[[]],[]]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,6,2,7,8,3,4,5]
[[[],[[],[]],[],[],[]]] => [[[],[],[],[[],[]],[]]] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,5,7,4,8,6]
[[[],[[[]]],[],[],[]]] => [[[],[],[],[[[]]],[]]] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,7,8,4,6]
[[[],[[],[]],[],[[]]]] => [[[[]],[],[[],[]],[]]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,7,3,8,6]
[[[],[[[]]],[],[[]]]] => [[[[]],[],[[[]]],[]]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,7,8,3,6]
[[[],[[],[]],[[]],[]]] => [[[],[[]],[[],[]],[]]] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,6,7,4,8,5]
[[[],[[[]]],[[]],[]]] => [[[],[[]],[[[]]],[]]] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,2,6,7,8,4,5]
[[[],[[],[]],[[],[]]]] => [[[[],[]],[[],[]],[]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,2,6,7,3,8,5]
[[[],[[],[]],[[[]]]]] => [[[[[]]],[[],[]],[]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,5,2,6,7,3,8,4]
[[[],[[[]]],[[],[]]]] => [[[[],[]],[[[]]],[]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,6,7,8,3,5]
[[[],[[[]]],[[[]]]]] => [[[[[]]],[[[]]],[]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,5,2,6,7,8,3,4]
[[[],[[],[],[]],[],[]]] => [[[],[],[[],[],[]],[]]] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,8,7]
[[[],[[],[[]]],[],[]]] => [[[],[],[[[]],[]],[]]] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7,8]
[[[],[[[]],[]],[],[]]] => [[[],[],[[],[[]]],[]]] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,5,6,8,4,7]
[[[],[[[],[]]],[],[]]] => [[[],[],[[[],[]]],[]]] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4,8]
[[[],[[[[]]]],[],[]]] => [[[],[],[[[[]]]],[]]] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,5,6,7,8,4]
[[[],[[],[],[]],[[]]]] => [[[[]],[[],[],[]],[]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,4,2,5,6,3,8,7]
[[[],[[],[[]]],[[]]]] => [[[[]],[[[]],[]],[]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,4,2,5,6,3,7,8]
[[[],[[[]],[]],[[]]]] => [[[[]],[[],[[]]],[]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,5,6,8,3,7]
[[[],[[[],[]]],[[]]]] => [[[[]],[[[],[]]],[]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3,8]
[[[],[[[[]]]],[[]]]] => [[[[]],[[[[]]]],[]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,4,2,5,6,7,8,3]
[[[],[[],[],[],[]],[]]] => [[[],[[],[],[],[]],[]]] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,8,7]
[[[],[[],[],[[]]],[]]] => [[[],[[[]],[],[]],[]]] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,3,2,4,7,5,8,6]
[[[],[[],[[]],[]],[]]] => [[[],[[],[[]],[]],[]]] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7,8]
[[[],[[],[[],[]]],[]]] => [[[],[[[],[]],[]],[]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,3,2,4,7,5,6,8]
[[[],[[],[[[]]]],[]]] => [[[],[[[[]]],[]],[]]] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,3,2,4,8,5,6,7]
[[[],[[[]],[],[]],[]]] => [[[],[[],[],[[]]],[]]] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,8,5,7]
[[[],[[[]],[[]]],[]]] => [[[],[[[]],[[]]],[]]] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,3,2,4,7,8,5,6]
[[[],[[[],[]],[]],[]]] => [[[],[[],[[],[]]],[]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,4,6,7,5,8]
[[[],[[[[]]],[]],[]]] => [[[],[[],[[[]]]],[]]] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,6,7,8,5]
[[[],[[[],[],[]]],[]]] => [[[],[[[],[],[]]],[]]] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6,8]
[[[],[[[],[[]]]],[]]] => [[[],[[[[]],[]]],[]]] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,3,2,4,5,8,6,7]
[[[],[[[[]],[]]],[]]] => [[[],[[[],[[]]]],[]]] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,7,8,6]
[[[],[[[[],[]]]],[]]] => [[[],[[[[],[]]]],[]]] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,8,7]
[[[],[[[[[]]]]],[]]] => [[[],[[[[[]]]]],[]]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7,8]
[[[],[[],[],[],[],[]]]] => [[[[],[],[],[],[]],[]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,8,7]
[[[],[[],[],[],[[]]]]] => [[[[[]],[],[],[]],[]]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,8,7]
[[[],[[],[],[[]],[]]]] => [[[[],[[]],[],[]],[]]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,2,3,7,5,8,6]
[[[],[[],[],[[],[]]]]] => [[[[[],[]],[],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,7,4,8,6]
[[[],[[],[],[[[]]]]]] => [[[[[[]]],[],[]],[]]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,6,2,3,7,4,8,5]
[[[],[[],[[]],[],[]]]] => [[[[],[],[[]],[]],[]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7,8]
[[[],[[],[[]],[[]]]]] => [[[[[]],[[]],[]],[]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7,8]
[[[],[[],[[],[]],[]]]] => [[[[],[[],[]],[]],[]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6,8]
[[[],[[],[[[]]],[]]]] => [[[[],[[[]]],[]],[]]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,4,2,3,8,5,6,7]
[[[],[[],[[],[],[]]]]] => [[[[[],[],[]],[]],[]]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6,8]
[[[],[[],[[],[[]]]]]] => [[[[[[]],[]],[]],[]]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5,8]
[[[],[[],[[[]],[]]]]] => [[[[[],[[]]],[]],[]]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,5,2,3,8,4,6,7]
[[[],[[],[[[],[]]]]]] => [[[[[[],[]]],[]],[]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,8,4,5,7]
[[[],[[],[[[[]]]]]]] => [[[[[[[]]]],[]],[]]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,7,2,3,8,4,5,6]
[[[],[[[]],[],[],[]]]] => [[[[],[],[],[[]]],[]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,6,8,5,7]
[[[],[[[]],[],[[]]]]] => [[[[[]],[],[[]]],[]]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,8,4,7]
[[[],[[[]],[[]],[]]]] => [[[[],[[]],[[]]],[]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,3,7,8,5,6]
[[[],[[[]],[[],[]]]]] => [[[[[],[]],[[]]],[]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,8,4,6]
[[[],[[[]],[[[]]]]]] => [[[[[[]]],[[]]],[]]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,6,2,3,7,8,4,5]
[[[],[[[],[]],[],[]]]] => [[[[],[],[[],[]]],[]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5,8]
[[[],[[[[]]],[],[]]]] => [[[[],[],[[[]]]],[]]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,6,7,8,5]
[[[],[[[],[]],[[]]]]] => [[[[[]],[[],[]]],[]]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4,8]
[[[],[[[[]]],[[]]]]] => [[[[[]],[[[]]]],[]]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,5,2,3,6,7,8,4]
[[[],[[[],[],[]],[]]]] => [[[[],[[],[],[]]],[]]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6,8]
[[[],[[[],[[]]],[]]]] => [[[[],[[[]],[]]],[]]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,4,2,3,5,8,6,7]
[[[],[[[[]],[]],[]]]] => [[[[],[[],[[]]]],[]]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,7,8,6]
[[[],[[[[],[]]],[]]]] => [[[[],[[[],[]]]],[]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,8,7]
[[[],[[[[[]]]],[]]]] => [[[[],[[[[]]]]],[]]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7,8]
[[[],[[[],[],[],[]]]]] => [[[[[],[],[],[]]],[]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6,8]
[[[],[[[],[],[[]]]]]] => [[[[[[]],[],[]]],[]]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5,8]
[[[],[[[],[[]],[]]]]] => [[[[[],[[]],[]]],[]]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,5,2,3,4,8,6,7]
[[[],[[[],[[],[]]]]]] => [[[[[[],[]],[]]],[]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,8,5,7]
[[[],[[[],[[[]]]]]]] => [[[[[[[]]],[]]],[]]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,7,2,3,4,8,5,6]
[[[],[[[[]],[],[]]]]] => [[[[[],[],[[]]]],[]]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,7,8,6]
[[[],[[[[]],[[]]]]]] => [[[[[[]],[[]]]],[]]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,8,5]
[[[],[[[[],[]],[]]]]] => [[[[[],[[],[]]]],[]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,8,7]
[[[],[[[[[]]],[]]]]] => [[[[[],[[[]]]]],[]]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7,8]
[[[],[[[[],[],[]]]]]] => [[[[[[],[],[]]]],[]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,8,7]
[[[],[[[[],[[]]]]]]] => [[[[[[[]],[]]]],[]]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,7,2,3,4,5,8,6]
[[[],[[[[[]],[]]]]]] => [[[[[[],[[]]]]],[]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7,8]
[[[],[[[[[],[]]]]]]] => [[[[[[[],[]]]]],[]]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6,8]
[[[],[[[[[[]]]]]]]] => [[[[[[[[]]]]]],[]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,8,2,3,4,5,6,7]
[[[[]],[],[],[],[],[]]] => [[[],[],[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6,8]
[[[[]],[],[],[],[[]]]] => [[[[]],[],[],[],[[]]]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6,8]
[[[[]],[],[],[[]],[]]] => [[[],[[]],[],[],[[]]]] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5,8]
[[[[]],[],[],[[],[]]]] => [[[[],[]],[],[],[[]]]] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,6,2,3,7,5,8]
[[[[]],[],[],[[[]]]]] => [[[[[]]],[],[],[[]]]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,5,6,2,3,7,4,8]
[[[[]],[],[[]],[],[]]] => [[[],[],[[]],[],[[]]]] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,5,2,4,8,6,7]
[[[[]],[],[[]],[[]]]] => [[[[]],[[]],[],[[]]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,8,6,7]
[[[[]],[],[[],[]],[]]] => [[[],[[],[]],[],[[]]]] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,8,5,7]
[[[[]],[],[[[]]],[]]] => [[[],[[[]]],[],[[]]]] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,3,7,2,4,8,5,6]
[[[[]],[],[[],[],[]]]] => [[[[],[],[]],[],[[]]]] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,8,5,7]
[[[[]],[],[[],[[]]]]] => [[[[[]],[]],[],[[]]]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,8,4,7]
[[[[]],[],[[[]],[]]]] => [[[[],[[]]],[],[[]]]] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,7,2,3,8,5,6]
[[[[]],[],[[[],[]]]]] => [[[[[],[]]],[],[[]]]] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,5,7,2,3,8,4,6]
[[[[]],[],[[[[]]]]]] => [[[[[[]]]],[],[[]]]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,6,7,2,3,8,4,5]
[[[[]],[[]],[],[],[]]] => [[[],[],[],[[]],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,4,7,8,6]
[[[[]],[[]],[],[[]]]] => [[[[]],[],[[]],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,7,8,6]
[[[[]],[[]],[[]],[]]] => [[[],[[]],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,7,8,5]
[[[[]],[[]],[[],[]]]] => [[[[],[]],[[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,6,2,3,7,8,5]
[[[[]],[[]],[[[]]]]] => [[[[[]]],[[]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,5,6,2,3,7,8,4]
[[[[]],[[],[]],[],[]]] => [[[],[],[[],[]],[[]]]] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,8,7]
[[[[]],[[[]]],[],[]]] => [[[],[],[[[]]],[[]]]] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7,8]
[[[[]],[[],[]],[[]]]] => [[[[]],[[],[]],[[]]]] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,2,3,6,8,7]
[[[[]],[[[]]],[[]]]] => [[[[]],[[[]]],[[]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7,8]
[[[[]],[[],[],[]],[]]] => [[[],[[],[],[]],[[]]]] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,8,7]
[[[[]],[[],[[]]],[]]] => [[[],[[[]],[]],[[]]]] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,3,7,2,4,5,8,6]
[[[[]],[[[]],[]],[]]] => [[[],[[],[[]]],[[]]]] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7,8]
[[[[]],[[[],[]]],[]]] => [[[],[[[],[]]],[[]]]] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6,8]
[[[[]],[[[[]]]],[]]] => [[[],[[[[]]]],[[]]]] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,3,8,2,4,5,6,7]
[[[[]],[[],[],[],[]]]] => [[[[],[],[],[]],[[]]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,8,7]
[[[[]],[[],[],[[]]]]] => [[[[[]],[],[]],[[]]]] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,8,7]
[[[[]],[[],[[]],[]]]] => [[[[],[[]],[]],[[]]]] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,7,2,3,5,8,6]
[[[[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[]]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,5,7,2,3,4,8,6]
[[[[]],[[],[[[]]]]]] => [[[[[[]]],[]],[[]]]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,6,7,2,3,4,8,5]
[[[[]],[[[]],[],[]]]] => [[[[],[],[[]]],[[]]]] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7,8]
[[[[]],[[[]],[[]]]]] => [[[[[]],[[]]],[[]]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7,8]
[[[[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[]]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6,8]
[[[[]],[[[[]]],[]]]] => [[[[],[[[]]]],[[]]]] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,4,8,2,3,5,6,7]
[[[[]],[[[],[],[]]]]] => [[[[[],[],[]]],[[]]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,5,7,2,3,4,6,8]
[[[[]],[[[],[[]]]]]] => [[[[[[]],[]]],[[]]]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5,8]
[[[[]],[[[[]],[]]]]] => [[[[[],[[]]]],[[]]]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,5,8,2,3,4,6,7]
[[[[]],[[[[],[]]]]]] => [[[[[[],[]]]],[[]]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,6,8,2,3,4,5,7]
[[[[]],[[[[[]]]]]]] => [[[[[[[]]]]],[[]]]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,7,8,2,3,4,5,6]
[[[[],[]],[],[],[],[]]] => [[[],[],[],[],[[],[]]]] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6,8]
[[[[[]]],[],[],[],[]]] => [[[],[],[],[],[[[]]]]] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6,8]
[[[[],[]],[],[],[[]]]] => [[[[]],[],[],[[],[]]]] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6,8]
[[[[[]]],[],[],[[]]]] => [[[[]],[],[],[[[]]]]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6,8]
[[[[],[]],[],[[]],[]]] => [[[],[[]],[],[[],[]]]] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5,8]
[[[[[]]],[],[[]],[]]] => [[[],[[]],[],[[[]]]]] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,6,7,2,4,5,8]
[[[[],[]],[],[[],[]]]] => [[[[],[]],[],[[],[]]]] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5,8]
[[[[],[]],[],[[[]]]]] => [[[[[]]],[],[[],[]]]] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,5,6,2,7,3,4,8]
[[[[[]]],[],[[],[]]]] => [[[[],[]],[],[[[]]]]] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5,8]
[[[[[]]],[],[[[]]]]] => [[[[[]]],[],[[[]]]]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4,8]
[[[[],[]],[[]],[],[]]] => [[[],[],[[]],[[],[]]]] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,5,2,8,4,6,7]
[[[[[]]],[[]],[],[]]] => [[[],[],[[]],[[[]]]]] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,5,8,2,4,6,7]
[[[[],[]],[[]],[[]]]] => [[[[]],[[]],[[],[]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,8,3,6,7]
[[[[[]]],[[]],[[]]]] => [[[[]],[[]],[[[]]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,4,5,8,2,3,6,7]
[[[[],[]],[[],[]],[]]] => [[[],[[],[]],[[],[]]]] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,3,6,2,8,4,5,7]
[[[[],[]],[[[]]],[]]] => [[[],[[[]]],[[],[]]]] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,3,7,2,8,4,5,6]
[[[[[]]],[[],[]],[]]] => [[[],[[],[]],[[[]]]]] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,6,8,2,4,5,7]
[[[[[]]],[[[]]],[]]] => [[[],[[[]]],[[[]]]]] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,3,7,8,2,4,5,6]
[[[[],[]],[[],[],[]]]] => [[[[],[],[]],[[],[]]]] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,8,3,5,7]
[[[[],[]],[[],[[]]]]] => [[[[[]],[]],[[],[]]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,5,6,2,8,3,4,7]
[[[[],[]],[[[]],[]]]] => [[[[],[[]]],[[],[]]]] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,7,2,8,3,5,6]
[[[[],[]],[[[],[]]]]] => [[[[[],[]]],[[],[]]]] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,5,7,2,8,3,4,6]
[[[[],[]],[[[[]]]]]] => [[[[[[]]]],[[],[]]]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,6,7,2,8,3,4,5]
[[[[[]]],[[],[],[]]]] => [[[[],[],[]],[[[]]]]] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,8,2,3,5,7]
[[[[[]]],[[],[[]]]]] => [[[[[]],[]],[[[]]]]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,5,6,8,2,3,4,7]
[[[[[]]],[[[]],[]]]] => [[[[],[[]]],[[[]]]]] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,7,8,2,3,5,6]
[[[[[]]],[[[],[]]]]] => [[[[[],[]]],[[[]]]]] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,5,7,8,2,3,4,6]
[[[[[]]],[[[[]]]]]] => [[[[[[]]]],[[[]]]]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,6,7,8,2,3,4,5]
[[[[],[],[]],[],[],[]]] => [[[],[],[],[[],[],[]]]] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,7,4,8,6]
[[[[],[[]]],[],[],[]]] => [[[],[],[],[[[]],[]]]] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,7,8,4,6]
[[[[[]],[]],[],[],[]]] => [[[],[],[],[[],[[]]]]] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,8,6]
[[[[[],[]]],[],[],[]]] => [[[],[],[],[[[],[]]]]] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,7,2,8,4,6]
[[[[[[]]]],[],[],[]]] => [[[],[],[],[[[[]]]]]] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,7,8,2,4,6]
[[[[],[],[]],[],[[]]]] => [[[[]],[],[[],[],[]]]] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,7,3,8,6]
[[[[],[[]]],[],[[]]]] => [[[[]],[],[[[]],[]]]] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,7,8,3,6]
[[[[[]],[]],[],[[]]]] => [[[[]],[],[[],[[]]]]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,4,5,7,2,3,8,6]
[[[[[],[]]],[],[[]]]] => [[[[]],[],[[[],[]]]]] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,4,5,7,2,8,3,6]
[[[[[[]]]],[],[[]]]] => [[[[]],[],[[[[]]]]]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,4,5,7,8,2,3,6]
[[[[],[],[]],[[]],[]]] => [[[],[[]],[[],[],[]]]] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,6,2,7,4,8,5]
[[[[],[[]]],[[]],[]]] => [[[],[[]],[[[]],[]]]] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,6,2,7,8,4,5]
[[[[[]],[]],[[]],[]]] => [[[],[[]],[[],[[]]]]] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,6,7,2,4,8,5]
[[[[[],[]]],[[]],[]]] => [[[],[[]],[[[],[]]]]] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,2,8,4,5]
[[[[[[]]]],[[]],[]]] => [[[],[[]],[[[[]]]]]] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,6,7,8,2,4,5]
[[[[],[],[]],[[],[]]]] => [[[[],[]],[[],[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,2,7,3,8,5]
[[[[],[],[]],[[[]]]]] => [[[[[]]],[[],[],[]]]] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,5,6,2,7,3,8,4]
[[[[],[[]]],[[],[]]]] => [[[[],[]],[[[]],[]]]] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,6,2,7,8,3,5]
[[[[],[[]]],[[[]]]]] => [[[[[]]],[[[]],[]]]] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,5,6,2,7,8,3,4]
[[[[[]],[]],[[],[]]]] => [[[[],[]],[[],[[]]]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,7,2,3,8,5]
[[[[[]],[]],[[[]]]]] => [[[[[]]],[[],[[]]]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,5,6,7,2,3,8,4]
[[[[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]]]]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,6,7,2,8,3,5]
[[[[[],[]]],[[[]]]]] => [[[[[]]],[[[],[]]]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,5,6,7,2,8,3,4]
[[[[[[]]]],[[],[]]]] => [[[[],[]],[[[[]]]]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,6,7,8,2,3,5]
[[[[[[]]]],[[[]]]]] => [[[[[]]],[[[[]]]]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,5,6,7,8,2,3,4]
[[[[],[],[],[]],[],[]]] => [[[],[],[[],[],[],[]]]] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,5,2,6,4,8,7]
[[[[],[],[[]]],[],[]]] => [[[],[],[[[]],[],[]]]] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,5,2,6,4,7,8]
[[[[],[[]],[]],[],[]]] => [[[],[],[[],[[]],[]]]] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,5,2,6,8,4,7]
[[[[],[[],[]]],[],[]]] => [[[],[],[[[],[]],[]]]] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4,8]
[[[[],[[[]]]],[],[]]] => [[[],[],[[[[]]],[]]]] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,3,5,2,6,7,8,4]
[[[[[]],[],[]],[],[]]] => [[[],[],[[],[],[[]]]]] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,8,7]
[[[[[]],[[]]],[],[]]] => [[[],[],[[[]],[[]]]]] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7,8]
[[[[[],[]],[]],[],[]]] => [[[],[],[[],[[],[]]]]] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,5,6,2,8,4,7]
[[[[[[]]],[]],[],[]]] => [[[],[],[[],[[[]]]]]] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,5,6,8,2,4,7]
[[[[[],[],[]]],[],[]]] => [[[],[],[[[],[],[]]]]] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4,8]
[[[[[],[[]]]],[],[]]] => [[[],[],[[[[]],[]]]]] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,5,6,2,7,8,4]
[[[[[[]],[]]],[],[]]] => [[[],[],[[[],[[]]]]]] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4,8]
[[[[[[],[]]]],[],[]]] => [[[],[],[[[[],[]]]]]] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,5,6,7,2,8,4]
[[[[[[[]]]]],[],[]]] => [[[],[],[[[[[]]]]]]] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5,6,7,8,2,4]
[[[[],[],[],[]],[[]]]] => [[[[]],[[],[],[],[]]]] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,8,7]
[[[[],[],[[]]],[[]]]] => [[[[]],[[[]],[],[]]]] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7,8]
[[[[],[[]],[]],[[]]]] => [[[[]],[[],[[]],[]]]] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,4,5,2,6,8,3,7]
[[[[],[[],[]]],[[]]]] => [[[[]],[[[],[]],[]]]] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3,8]
[[[[],[[[]]]],[[]]]] => [[[[]],[[[[]]],[]]]] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,4,5,2,6,7,8,3]
[[[[[]],[],[]],[[]]]] => [[[[]],[[],[],[[]]]]] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,6,2,3,8,7]
[[[[[]],[[]]],[[]]]] => [[[[]],[[[]],[[]]]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7,8]
[[[[[],[]],[]],[[]]]] => [[[[]],[[],[[],[]]]]] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,4,5,6,2,8,3,7]
[[[[[[]]],[]],[[]]]] => [[[[]],[[],[[[]]]]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,4,5,6,8,2,3,7]
[[[[[],[],[]]],[[]]]] => [[[[]],[[[],[],[]]]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3,8]
[[[[[],[[]]]],[[]]]] => [[[[]],[[[[]],[]]]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,4,5,6,2,7,8,3]
[[[[[[]],[]]],[[]]]] => [[[[]],[[[],[[]]]]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3,8]
[[[[[[],[]]]],[[]]]] => [[[[]],[[[[],[]]]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,4,5,6,7,2,8,3]
[[[[[[[]]]]],[[]]]] => [[[[]],[[[[[]]]]]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,4,5,6,7,8,2,3]
[[[[],[],[],[],[]],[]]] => [[[],[[],[],[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,8,7]
[[[[],[],[],[[]]],[]]] => [[[],[[[]],[],[],[]]]] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,3,4,2,7,5,8,6]
[[[[],[],[[]],[]],[]]] => [[[],[[],[[]],[],[]]]] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,4,2,6,5,7,8]
[[[[],[],[[],[]]],[]]] => [[[],[[[],[]],[],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,3,4,2,7,5,6,8]
[[[[],[],[[[]]]],[]]] => [[[],[[[[]]],[],[]]]] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,3,4,2,8,5,6,7]
[[[[],[[]],[],[]],[]]] => [[[],[[],[],[[]],[]]]] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,4,2,6,8,5,7]
[[[[],[[]],[[]]],[]]] => [[[],[[[]],[[]],[]]]] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,3,4,2,7,8,5,6]
[[[[],[[],[]],[]],[]]] => [[[],[[],[[],[]],[]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5,8]
[[[[],[[[]]],[]],[]]] => [[[],[[],[[[]]],[]]]] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,6,7,8,5]
[[[[],[[],[],[]]],[]]] => [[[],[[[],[],[]],[]]]] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6,8]
[[[[],[[],[[]]]],[]]] => [[[],[[[[]],[]],[]]]] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,3,4,2,5,8,6,7]
[[[[],[[[]],[]]],[]]] => [[[],[[[],[[]]],[]]]] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,7,8,6]
[[[[],[[[],[]]]],[]]] => [[[],[[[[],[]]],[]]]] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,8,7]
[[[[],[[[[]]]]],[]]] => [[[],[[[[[]]]],[]]]] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7,8]
[[[[[]],[],[],[]],[]]] => [[[],[[],[],[],[[]]]]] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,8,7]
[[[[[]],[],[[]]],[]]] => [[[],[[[]],[],[[]]]]] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,3,4,7,2,5,8,6]
[[[[[]],[[]],[]],[]]] => [[[],[[],[[]],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7,8]
[[[[[]],[[],[]]],[]]] => [[[],[[[],[]],[[]]]]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6,8]
[[[[[]],[[[]]]],[]]] => [[[],[[[[]]],[[]]]]] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,3,4,8,2,5,6,7]
[[[[[],[]],[],[]],[]]] => [[[],[[],[],[[],[]]]]] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,4,6,2,8,5,7]
[[[[[[]]],[],[]],[]]] => [[[],[[],[],[[[]]]]]] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,8,2,5,7]
[[[[[],[]],[[]]],[]]] => [[[],[[[]],[[],[]]]]] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,3,4,7,2,8,5,6]
[[[[[[]]],[[]]],[]]] => [[[],[[[]],[[[]]]]]] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,3,4,7,8,2,5,6]
[[[[[],[],[]],[]],[]]] => [[[],[[],[[],[],[]]]]] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5,8]
[[[[[],[[]]],[]],[]]] => [[[],[[],[[[]],[]]]]] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,4,6,2,7,8,5]
[[[[[[]],[]],[]],[]]] => [[[],[[],[[],[[]]]]]] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5,8]
[[[[[[],[]]],[]],[]]] => [[[],[[],[[[],[]]]]]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,4,6,7,2,8,5]
[[[[[[[]]]],[]],[]]] => [[[],[[],[[[[]]]]]]] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4,6,7,8,2,5]
[[[[[],[],[],[]]],[]]] => [[[],[[[],[],[],[]]]]] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6,8]
[[[[[],[],[[]]]],[]]] => [[[],[[[[]],[],[]]]]] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,3,4,5,2,8,6,7]
[[[[[],[[]],[]]],[]]] => [[[],[[[],[[]],[]]]]] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,7,8,6]
[[[[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]]]]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,4,5,2,6,8,7]
[[[[[],[[[]]]]],[]]] => [[[],[[[[[]]],[]]]]] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7,8]
[[[[[[]],[],[]]],[]]] => [[[],[[[],[],[[]]]]]] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6,8]
[[[[[[]],[[]]]],[]]] => [[[],[[[[]],[[]]]]]] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,3,4,5,8,2,6,7]
[[[[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]]]]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,4,5,7,2,8,6]
[[[[[[[]]],[]]],[]]] => [[[],[[[],[[[]]]]]]] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,3,4,5,7,8,2,6]
[[[[[[],[],[]]]],[]]] => [[[],[[[[],[],[]]]]]] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,8,7]
[[[[[[],[[]]]]],[]]] => [[[],[[[[[]],[]]]]]] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7,8]
[[[[[[[]],[]]]],[]]] => [[[],[[[[],[[]]]]]]] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,3,4,5,6,8,2,7]
[[[[[[[],[]]]]],[]]] => [[[],[[[[[],[]]]]]]] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2,8]
[[[[[[[[]]]]]],[]]] => [[[],[[[[[[]]]]]]]] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,4,5,6,7,8,2]
[[[[],[],[],[],[],[]]]] => [[[[],[],[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,8,7]
[[[[],[],[],[],[[]]]]] => [[[[[]],[],[],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,8,7]
[[[[],[],[],[[]],[]]]] => [[[[],[[]],[],[],[]]]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,4,3,7,5,8,6]
[[[[],[],[],[[],[]]]]] => [[[[[],[]],[],[],[]]]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,7,4,8,6]
[[[[],[],[],[[[]]]]]] => [[[[[[]]],[],[],[]]]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,2,6,3,7,4,8,5]
[[[[],[],[[]],[],[]]]] => [[[[],[],[[]],[],[]]]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7,8]
[[[[],[],[[]],[[]]]]] => [[[[[]],[[]],[],[]]]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7,8]
[[[[],[],[[],[]],[]]]] => [[[[],[[],[]],[],[]]]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6,8]
[[[[],[],[[[]]],[]]]] => [[[[],[[[]]],[],[]]]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,4,3,8,5,6,7]
[[[[],[],[[],[],[]]]]] => [[[[[],[],[]],[],[]]]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6,8]
[[[[],[],[[],[[]]]]]] => [[[[[[]],[]],[],[]]]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5,8]
[[[[],[],[[[]],[]]]]] => [[[[[],[[]]],[],[]]]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,2,5,3,8,4,6,7]
[[[[],[],[[[],[]]]]]] => [[[[[[],[]]],[],[]]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,8,4,5,7]
[[[[],[],[[[[]]]]]]] => [[[[[[[]]]],[],[]]]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,2,7,3,8,4,5,6]
[[[[],[[]],[],[],[]]]] => [[[[],[],[],[[]],[]]]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,8,5,7]
[[[[],[[]],[],[[]]]]] => [[[[[]],[],[[]],[]]]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,2,5,3,6,8,4,7]
[[[[],[[]],[[]],[]]]] => [[[[],[[]],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,4,3,7,8,5,6]
[[[[],[[]],[[],[]]]]] => [[[[[],[]],[[]],[]]]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,2,5,3,7,8,4,6]
[[[[],[[]],[[[]]]]]] => [[[[[[]]],[[]],[]]]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,2,6,3,7,8,4,5]
[[[[],[[],[]],[],[]]]] => [[[[],[],[[],[]],[]]]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5,8]
[[[[],[[[]]],[],[]]]] => [[[[],[],[[[]]],[]]]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,6,7,8,5]
[[[[],[[],[]],[[]]]]] => [[[[[]],[[],[]],[]]]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4,8]
[[[[],[[[]]],[[]]]]] => [[[[[]],[[[]]],[]]]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,2,5,3,6,7,8,4]
[[[[],[[],[],[]],[]]]] => [[[[],[[],[],[]],[]]]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6,8]
[[[[],[[],[[]]],[]]]] => [[[[],[[[]],[]],[]]]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,4,3,5,8,6,7]
[[[[],[[[]],[]],[]]]] => [[[[],[[],[[]]],[]]]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,7,8,6]
[[[[],[[[],[]]],[]]]] => [[[[],[[[],[]]],[]]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,8,7]
[[[[],[[[[]]]],[]]]] => [[[[],[[[[]]]],[]]]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7,8]
[[[[],[[],[],[],[]]]]] => [[[[[],[],[],[]],[]]]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6,8]
[[[[],[[],[],[[]]]]]] => [[[[[[]],[],[]],[]]]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5,8]
[[[[],[[],[[]],[]]]]] => [[[[[],[[]],[]],[]]]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,2,5,3,4,8,6,7]
[[[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,8,5,7]
[[[[],[[],[[[]]]]]]] => [[[[[[[]]],[]],[]]]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,2,7,3,4,8,5,6]
[[[[],[[[]],[],[]]]]] => [[[[[],[],[[]]],[]]]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,7,8,6]
[[[[],[[[]],[[]]]]]] => [[[[[[]],[[]]],[]]]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,7,8,5]
[[[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,8,7]
[[[[],[[[[]]],[]]]]] => [[[[[],[[[]]]],[]]]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7,8]
[[[[],[[[],[],[]]]]]] => [[[[[[],[],[]]],[]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,8,7]
[[[[],[[[],[[]]]]]]] => [[[[[[[]],[]]],[]]]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,2,7,3,4,5,8,6]
[[[[],[[[[]],[]]]]]] => [[[[[[],[[]]]],[]]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7,8]
[[[[],[[[[],[]]]]]]] => [[[[[[[],[]]]],[]]]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6,8]
[[[[],[[[[[]]]]]]]] => [[[[[[[[]]]]],[]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,2,8,3,4,5,6,7]
[[[[[]],[],[],[],[]]]] => [[[[],[],[],[],[[]]]]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,8,7]
[[[[[]],[],[],[[]]]]] => [[[[[]],[],[],[[]]]]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,8,7]
[[[[[]],[],[[]],[]]]] => [[[[],[[]],[],[[]]]]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,4,7,3,5,8,6]
[[[[[]],[],[[],[]]]]] => [[[[[],[]],[],[[]]]]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,7,3,4,8,6]
[[[[[]],[],[[[]]]]]] => [[[[[[]]],[],[[]]]]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,2,6,7,3,4,8,5]
[[[[[]],[[]],[],[]]]] => [[[[],[],[[]],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7,8]
[[[[[]],[[]],[[]]]]] => [[[[[]],[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7,8]
[[[[[]],[[],[]],[]]]] => [[[[],[[],[]],[[]]]]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6,8]
[[[[[]],[[[]]],[]]]] => [[[[],[[[]]],[[]]]]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,4,8,3,5,6,7]
[[[[[]],[[],[],[]]]]] => [[[[[],[],[]],[[]]]]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6,8]
[[[[[]],[[],[[]]]]]] => [[[[[[]],[]],[[]]]]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5,8]
[[[[[]],[[[]],[]]]]] => [[[[[],[[]]],[[]]]]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,2,5,8,3,4,6,7]
[[[[[]],[[[],[]]]]]] => [[[[[[],[]]],[[]]]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,2,6,8,3,4,5,7]
[[[[[]],[[[[]]]]]]] => [[[[[[[]]]],[[]]]]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,2,7,8,3,4,5,6]
[[[[[],[]],[],[],[]]]] => [[[[],[],[],[[],[]]]]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,2,4,6,3,8,5,7]
[[[[[[]]],[],[],[]]]] => [[[[],[],[],[[[]]]]]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,8,3,5,7]
[[[[[],[]],[],[[]]]]] => [[[[[]],[],[[],[]]]]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,8,4,7]
[[[[[[]]],[],[[]]]]] => [[[[[]],[],[[[]]]]]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,2,5,6,8,3,4,7]
[[[[[],[]],[[]],[]]]] => [[[[],[[]],[[],[]]]]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,4,7,3,8,5,6]
[[[[[[]]],[[]],[]]]] => [[[[],[[]],[[[]]]]]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,4,7,8,3,5,6]
[[[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]]]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,7,3,8,4,6]
[[[[[],[]],[[[]]]]]] => [[[[[[]]],[[],[]]]]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,6,7,3,8,4,5]
[[[[[[]]],[[],[]]]]] => [[[[[],[]],[[[]]]]]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,7,8,3,4,6]
[[[[[[]]],[[[]]]]]] => [[[[[[]]],[[[]]]]]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,2,6,7,8,3,4,5]
[[[[[],[],[]],[],[]]]] => [[[[],[],[[],[],[]]]]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,2,4,6,3,7,5,8]
[[[[[],[[]]],[],[]]]] => [[[[],[],[[[]],[]]]]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,4,6,3,7,8,5]
[[[[[[]],[]],[],[]]]] => [[[[],[],[[],[[]]]]]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,4,6,7,3,5,8]
[[[[[[],[]]],[],[]]]] => [[[[],[],[[[],[]]]]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,2,4,6,7,3,8,5]
[[[[[[[]]]],[],[]]]] => [[[[],[],[[[[]]]]]]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,6,7,8,3,5]
[[[[[],[],[]],[[]]]]] => [[[[[]],[[],[],[]]]]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4,8]
[[[[[],[[]]],[[]]]]] => [[[[[]],[[[]],[]]]]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,2,5,6,3,7,8,4]
[[[[[[]],[]],[[]]]]] => [[[[[]],[[],[[]]]]]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,2,5,6,7,3,4,8]
[[[[[[],[]]],[[]]]]] => [[[[[]],[[[],[]]]]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,2,5,6,7,3,8,4]
[[[[[[[]]]],[[]]]]] => [[[[[]],[[[[]]]]]]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,2,5,6,7,8,3,4]
[[[[[],[],[],[]],[]]]] => [[[[],[[],[],[],[]]]]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6,8]
[[[[[],[],[[]]],[]]]] => [[[[],[[[]],[],[]]]]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,4,5,3,8,6,7]
[[[[[],[[]],[]],[]]]] => [[[[],[[],[[]],[]]]]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,7,8,6]
[[[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,4,5,3,6,8,7]
[[[[[],[[[]]]],[]]]] => [[[[],[[[[]]],[]]]]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,4,5,3,6,7,8]
[[[[[[]],[],[]],[]]]] => [[[[],[[],[],[[]]]]]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6,8]
[[[[[[]],[[]]],[]]]] => [[[[],[[[]],[[]]]]]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,4,5,8,3,6,7]
[[[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,4,5,7,3,8,6]
[[[[[[[]]],[]],[]]]] => [[[[],[[],[[[]]]]]]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,4,5,7,8,3,6]
[[[[[[],[],[]]],[]]]] => [[[[],[[[],[],[]]]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,8,7]
[[[[[[],[[]]]],[]]]] => [[[[],[[[[]],[]]]]]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7,8]
[[[[[[[]],[]]],[]]]] => [[[[],[[[],[[]]]]]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,4,5,6,8,3,7]
[[[[[[[],[]]]],[]]]] => [[[[],[[[[],[]]]]]]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3,8]
[[[[[[[[]]]]],[]]]] => [[[[],[[[[[]]]]]]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,4,5,6,7,8,3]
[[[[[],[],[],[],[]]]]] => [[[[[],[],[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6,8]
[[[[[],[],[],[[]]]]]] => [[[[[[]],[],[],[]]]]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5,8]
[[[[[],[],[[]],[]]]]] => [[[[[],[[]],[],[]]]]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,5,4,8,6,7]
[[[[[],[],[[],[]]]]]] => [[[[[[],[]],[],[]]]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,8,5,7]
[[[[[],[],[[[]]]]]]] => [[[[[[[]]],[],[]]]]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,2,3,7,4,8,5,6]
[[[[[],[[]],[],[]]]]] => [[[[[],[],[[]],[]]]]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,7,8,6]
[[[[[],[[]],[[]]]]]] => [[[[[[]],[[]],[]]]]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,7,8,5]
[[[[[],[[],[]],[]]]]] => [[[[[],[[],[]],[]]]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,8,7]
[[[[[],[[[]]],[]]]]] => [[[[[],[[[]]],[]]]]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7,8]
[[[[[],[[],[],[]]]]]] => [[[[[[],[],[]],[]]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,8,7]
[[[[[],[[],[[]]]]]]] => [[[[[[[]],[]],[]]]]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,2,3,7,4,5,8,6]
[[[[[],[[[]],[]]]]]] => [[[[[[],[[]]],[]]]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7,8]
[[[[[],[[[],[]]]]]]] => [[[[[[[],[]]],[]]]]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6,8]
[[[[[],[[[[]]]]]]]] => [[[[[[[[]]]],[]]]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,2,3,8,4,5,6,7]
[[[[[[]],[],[],[]]]]] => [[[[[],[],[],[[]]]]]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6,8]
[[[[[[]],[],[[]]]]]] => [[[[[[]],[],[[]]]]]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5,8]
[[[[[[]],[[]],[]]]]] => [[[[[],[[]],[[]]]]]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,5,8,4,6,7]
[[[[[[]],[[],[]]]]]] => [[[[[[],[]],[[]]]]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,8,4,5,7]
[[[[[[]],[[[]]]]]]] => [[[[[[[]]],[[]]]]]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,2,3,7,8,4,5,6]
[[[[[[],[]],[],[]]]]] => [[[[[],[],[[],[]]]]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,7,4,8,6]
[[[[[[[]]],[],[]]]]] => [[[[[],[],[[[]]]]]]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,7,8,4,6]
[[[[[[],[]],[[]]]]]] => [[[[[[]],[[],[]]]]]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,2,3,6,7,4,8,5]
[[[[[[[]]],[[]]]]]] => [[[[[[]],[[[]]]]]]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,2,3,6,7,8,4,5]
[[[[[[],[],[]],[]]]]] => [[[[[],[[],[],[]]]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,8,7]
[[[[[[],[[]]],[]]]]] => [[[[[],[[[]],[]]]]]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7,8]
[[[[[[[]],[]],[]]]]] => [[[[[],[[],[[]]]]]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,5,6,8,4,7]
[[[[[[[],[]]],[]]]]] => [[[[[],[[[],[]]]]]]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4,8]
[[[[[[[[]]]],[]]]]] => [[[[[],[[[[]]]]]]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,5,6,7,8,4]
[[[[[[],[],[],[]]]]]] => [[[[[[],[],[],[]]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,8,7]
[[[[[[],[],[[]]]]]]] => [[[[[[[]],[],[]]]]]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,2,3,4,7,5,8,6]
[[[[[[],[[]],[]]]]]] => [[[[[[],[[]],[]]]]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7,8]
[[[[[[],[[],[]]]]]]] => [[[[[[[],[]],[]]]]]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6,8]
[[[[[[],[[[]]]]]]]] => [[[[[[[[]]],[]]]]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,2,3,4,8,5,6,7]
[[[[[[[]],[],[]]]]]] => [[[[[[],[],[[]]]]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,8,5,7]
[[[[[[[]],[[]]]]]]] => [[[[[[[]],[[]]]]]]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,2,3,4,7,8,5,6]
[[[[[[[],[]],[]]]]]] => [[[[[[],[[],[]]]]]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5,8]
[[[[[[[[]]],[]]]]]] => [[[[[[],[[[]]]]]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,6,7,8,5]
[[[[[[[],[],[]]]]]]] => [[[[[[[],[],[]]]]]]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6,8]
[[[[[[[],[[]]]]]]]] => [[[[[[[[]],[]]]]]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,2,3,4,5,8,6,7]
[[[[[[[[]],[]]]]]]] => [[[[[[[],[[]]]]]]]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,7,8,6]
[[[[[[[[],[]]]]]]]] => [[[[[[[[],[]]]]]]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,8,7]
[[[[[[[[[]]]]]]]]] => [[[[[[[[[]]]]]]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8]
[[],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,2,8,3,4,9,5,7,10]
[[],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,2,8,3,4,10,6,7,9]
[[],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,8,9,6,10]
[[],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [4,1,2,8,3,5,6,10,7,9]
[[],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6,8,10,9]
[[],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [5,1,2,7,8,3,10,4,6,9]
[[],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,7,9,3,10,5,6,8]
[[],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,2,6,7,3,8,9,5,10]
[[],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,6,7,8,3,10,5,9]
[[],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [3,1,2,4,8,5,6,10,7,9]
[[],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8,10,9]
[[],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,7,9,5,10,6,8]
[[],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5,8,10,9]
[[],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[]] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,4,6,7,9,5,10,8]
[[[],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,7,1,8,2,3,4,10,6,9]
[[[],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,7,1,9,2,3,5,10,6,8]
[[[],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5,8,10,9]
[[[],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [3,7,1,9,2,4,5,6,10,8]
[[[],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,6,1,9,2,4,5,7,8,10]
[[[],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,6,1,7,9,2,10,3,5,8]
[[[],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,6,1,8,9,2,10,4,5,7]
[[[[],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [4,6,7,1,9,2,3,10,5,8]
[[[[],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,6,8,1,9,2,4,10,5,7]
[[[],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[]]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,5,1,6,7,2,8,9,4,10]
[[[],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,5,1,6,7,8,2,10,4,9]
[[[[],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4,8,10,9]
[[[[],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,5,6,1,7,9,2,10,4,8]
[[[[[],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[]]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,7,1,9,2,4,10,8]
[[[],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,10,7,9]
[[[],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8,10,9]
[[[],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,7,9,5,10,6,8]
[[[],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8,10,9]
[[[],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[]]] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,9,5,10,8]
[[[[],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,3,7,1,9,4,5,6,10,8]
[[[[],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [2,3,6,1,9,4,5,7,8,10]
[[[[],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,6,1,8,9,4,10,5,7]
[[[[[],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[]]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,6,8,1,9,4,5,10,7]
[[[[],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[]]]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4,8,10,9]
[[[[],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[]]]] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,9,4,10,8]
[[[[[],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,9,4,7,8,10]
[[[[[],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[]]]]] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,5,6,1,8,9,4,10,7]
[[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,5,6,8,1,9,4,7,10]
[[],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [7,1,2,9,3,4,10,5,6,12,8,11]
[[],[[],[[],[[],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[]],[]],[]],[]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,2,9,3,4,11,5,7,12,8,10]
[[],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[]] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [6,1,2,8,3,4,9,5,7,10,12,11]
[[],[[],[[],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[]],[]],[]] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,2,9,3,4,11,6,7,8,12,10]
[[],[[],[[],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[]],[]],[]] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [5,1,2,8,3,4,11,6,7,9,10,12]
[[],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [6,1,2,8,3,4,9,11,5,12,7,10]
[[],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,8,3,4,10,11,6,12,7,9]
[[],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[]] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,8,9,6,10,12,11]
[[],[[],[[[[],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[]]]],[]],[]] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,8,9,11,6,12,10]
[[],[[],[[[],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[]]],[]],[]] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [4,1,2,9,3,5,6,11,7,8,12,10]
[[],[[],[[[],[[[],[]],[]]],[]]]] => [[[[],[[[],[[],[]]],[]]],[]],[]] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [4,1,2,8,3,5,6,11,7,9,10,12]
[[],[[],[[[[],[]],[[],[]]],[]]]] => [[[[],[[[],[]],[[],[]]]],[]],[]] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [4,1,2,8,3,5,6,10,11,7,12,9]
[[],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[]] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6,8,11,9,10,12]
[[],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[]] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6,8,10,11,9,12]
[[],[[[],[]],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[[],[]]],[]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [6,1,2,8,9,3,11,4,5,7,12,10]
[[],[[[],[]],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[[],[]]],[]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [5,1,2,8,10,3,11,4,6,7,12,9]
[[],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [5,1,2,7,8,3,11,4,6,9,10,12]
[[],[[[],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[]]],[]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,8,10,3,11,5,6,7,9,12]
[[],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,7,10,3,12,5,6,8,9,11]
[[],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,7,8,3,10,11,4,12,6,9]
[[],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,2,7,9,3,10,11,5,12,6,8]
[[],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,7,8,10,3,11,4,6,12,9]
[[],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,7,9,10,3,11,5,6,12,8]
[[],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[]] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [4,1,2,6,7,3,8,9,5,10,12,11]
[[],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[]] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [4,1,2,6,7,3,8,9,11,5,12,10]
[[],[[[[],[]],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[[],[]]]],[]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,6,7,8,3,11,5,9,10,12]
[[],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[]] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [4,1,2,6,7,8,3,10,11,5,12,9]
[[],[[[[[],[]],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[[],[]]]]],[]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [4,1,2,6,7,8,10,3,11,5,9,12]
[[],[[[],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[]]],[]] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [3,1,2,4,9,5,6,11,7,8,12,10]
[[],[[[],[[],[[[],[]],[]]]],[]]] => [[[],[[[[],[[],[]]],[]],[]]],[]] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [3,1,2,4,8,5,6,11,7,9,10,12]
[[],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,8,5,6,10,11,7,12,9]
[[],[[[],[[[],[[],[]]],[]]],[]]] => [[[],[[[],[[[],[]],[]]],[]]],[]] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8,11,9,10,12]
[[],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[]] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6,8,10,11,9,12]
[[],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,8,10,5,11,6,7,9,12]
[[],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,7,10,5,12,6,8,9,11]
[[],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[]] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [3,1,2,4,7,9,5,10,11,6,12,8]
[[],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,4,7,9,10,5,11,6,8,12]
[[],[[[[],[[],[[],[]]]],[]],[]]] => [[[],[[],[[[[],[]],[]],[]]]],[]] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5,8,11,9,10,12]
[[],[[[[],[[[],[]],[]]],[]],[]]] => [[[],[[],[[[],[[],[]]],[]]]],[]] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5,8,10,11,9,12]
[[],[[[[[],[]],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[[],[]]]]],[]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,4,6,7,10,5,12,8,9,11]
[[],[[[[[],[[],[]]],[]],[]],[]]] => [[[],[[],[[],[[[],[]],[]]]]],[]] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [3,1,2,4,6,7,9,5,10,11,8,12]
[[],[[[[[[],[]],[]],[]],[]],[]]] => [[[],[[],[[],[[],[[],[]]]]]],[]] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [3,1,2,4,6,7,9,10,5,12,8,11]
[[[],[]],[[],[[],[[],[[],[]]]]]] => [[[[[[],[]],[]],[]],[]],[[],[]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [6,8,1,9,2,3,4,11,5,7,12,10]
[[[],[]],[[],[[],[[[],[]],[]]]]] => [[[[[],[[],[]]],[]],[]],[[],[]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,8,1,10,2,3,4,11,6,7,12,9]
[[[],[]],[[],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,7,1,8,2,3,4,11,6,9,10,12]
[[[],[]],[[],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[]],[[],[]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,8,1,10,2,3,5,11,6,7,9,12]
[[[],[]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[],[]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [4,7,1,10,2,3,5,12,6,8,9,11]
[[[],[]],[[[],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[]]],[[],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,7,1,8,2,3,4,10,11,6,12,9]
[[[],[]],[[[],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[]]],[[],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,7,1,9,2,3,5,10,11,6,12,8]
[[[],[]],[[[],[[],[]]],[[],[]]]] => [[[[],[]],[[[],[]],[]]],[[],[]]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5,8,11,9,10,12]
[[[],[]],[[[[],[]],[]],[[],[]]]] => [[[[],[]],[[],[[],[]]]],[[],[]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5,8,10,11,9,12]
[[[],[]],[[[],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[]]],[[],[]]] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [3,8,1,10,2,4,5,6,11,7,9,12]
[[[],[]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[],[]]] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [3,7,1,10,2,4,5,6,12,8,9,11]
[[[],[]],[[[[],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[]]]],[[],[]]] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,7,1,9,2,4,5,6,10,11,8,12]
[[[],[]],[[[[],[[],[]]],[]],[]]] => [[[],[[],[[[],[]],[]]]],[[],[]]] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [3,6,1,10,2,4,5,7,8,12,9,11]
[[[],[]],[[[[[],[]],[]],[]],[]]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [3,6,1,9,2,4,5,7,8,10,12,11]
[[[],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,7,1,8,10,2,11,3,4,6,9,12]
[[[],[[],[]]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[[],[]],[]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,7,1,9,10,2,11,3,5,6,8,12]
[[[],[[],[]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[],[]],[]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [4,6,1,7,10,2,12,3,5,8,9,11]
[[[],[[],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[]],[]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,7,1,9,10,2,12,4,5,6,8,11]
[[[],[[],[]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[],[]],[]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,6,1,9,11,2,12,4,5,7,8,10]
[[[[],[]],[]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[],[[],[]]]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [5,7,8,1,10,2,3,11,4,6,9,12]
[[[[],[]],[]],[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]],[[],[[],[]]]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [4,7,9,1,10,2,3,11,5,6,8,12]
[[[[],[]],[]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[],[[],[]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [4,6,7,1,10,2,3,12,5,8,9,11]
[[[[],[]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[],[]]]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,7,9,1,10,2,4,12,5,6,8,11]
[[[[],[]],[]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[],[[],[]]]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,6,9,1,11,2,4,12,5,7,8,10]
[[[],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,6,1,7,9,2,10,11,3,12,5,8]
[[[],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,6,1,8,9,2,10,11,4,12,5,7]
[[[],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,7,9,10,2,11,3,5,12,8]
[[[],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,6,1,8,9,10,2,11,4,5,12,7]
[[[[],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,6,7,1,9,2,3,10,11,5,12,8]
[[[[],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,6,8,1,9,2,4,10,11,5,12,7]
[[[[],[[],[]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[],[]],[]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [4,6,7,1,9,10,2,11,3,5,8,12]
[[[[],[[],[]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[],[]],[]]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,8,1,9,10,2,11,4,5,7,12]
[[[[[],[]],[]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[],[[],[]]]]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [4,6,7,9,1,10,2,3,11,5,8,12]
[[[[[],[]],[]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,6,8,9,1,10,2,4,11,5,7,12]
[[[],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[]]] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [3,5,1,6,7,2,8,9,4,10,12,11]
[[[],[[],[[[],[]],[]]]],[[],[]]] => [[[],[]],[[[[],[[],[]]],[]],[]]] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [3,5,1,6,7,2,8,9,11,4,12,10]
[[[],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[]]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [3,5,1,6,7,8,2,11,4,9,10,12]
[[[],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[]]] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [3,5,1,6,7,8,2,10,11,4,12,9]
[[[],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [3,5,1,6,7,8,10,2,11,4,9,12]
[[[[],[]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[],[]]]] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4,8,11,9,10,12]
[[[[],[]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4,8,10,11,9,12]
[[[[],[[],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[]],[]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,5,6,1,7,10,2,12,4,8,9,11]
[[[[[],[]],[]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[],[[],[]]]]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,7,1,10,2,4,12,8,9,11]
[[[[],[[],[[],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[]],[]],[]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [3,5,6,1,7,9,2,10,11,4,12,8]
[[[[],[[[],[]],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[[],[]]],[]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [3,5,6,1,7,9,10,2,11,4,8,12]
[[[[[],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[]]]]] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [3,5,6,7,1,9,2,4,10,11,8,12]
[[[[[],[[],[]]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[[],[]],[]]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [3,5,6,7,1,9,10,2,12,4,8,11]
[[[[[[],[]],[]],[]],[]],[[],[]]] => [[[],[]],[[],[[],[[],[[],[]]]]]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,5,6,7,9,1,10,2,4,12,8,11]
[[[],[[],[[],[[],[[],[]]]]]],[]] => [[],[[[[[[],[]],[]],[]],[]],[]]] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,9,5,6,11,7,8,12,10]
[[[],[[],[[],[[[],[]],[]]]]],[]] => [[],[[[[[],[[],[]]],[]],[]],[]]] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,11,7,9,10,12]
[[[],[[],[[[],[]],[[],[]]]]],[]] => [[],[[[[[],[]],[[],[]]],[]],[]]] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,10,11,7,12,9]
[[[],[[],[[[],[[],[]]],[]]]],[]] => [[],[[[[],[[[],[]],[]]],[]],[]]] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8,11,9,10,12]
[[[],[[],[[[[],[]],[]],[]]]],[]] => [[],[[[[],[[],[[],[]]]],[]],[]]] => [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8,10,11,9,12]
[[[],[[[],[]],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,8,10,5,11,6,7,9,12]
[[[],[[[],[]],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,7,10,5,12,6,8,9,11]
[[[],[[[],[[],[]]],[[],[]]]],[]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,7,9,5,10,11,6,12,8]
[[[],[[[[],[]],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[[],[]]]],[]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,7,9,10,5,11,6,8,12]
[[[],[[[],[[],[[],[]]]],[]]],[]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8,11,9,10,12]
[[[],[[[],[[[],[]],[]]],[]]],[]] => [[],[[[],[[[],[[],[]]],[]]],[]]] => [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8,10,11,9,12]
[[[],[[[[],[]],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[[],[]]]],[]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,10,5,12,8,9,11]
[[[],[[[[],[[],[]]],[]],[]]],[]] => [[],[[[],[[],[[[],[]],[]]]],[]]] => [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,9,5,10,11,8,12]
[[[],[[[[[],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[]]]]],[]]] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [2,3,1,4,6,7,9,10,5,12,8,11]
[[[[],[]],[[],[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]],[]],[[],[]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,3,8,1,10,4,5,6,11,7,9,12]
[[[[],[]],[[],[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]],[]],[[],[]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [2,3,7,1,10,4,5,6,12,8,9,11]
[[[[],[]],[[[],[]],[[],[]]]],[]] => [[],[[[[],[]],[[],[]]],[[],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [2,3,7,1,9,4,5,6,10,11,8,12]
[[[[],[]],[[[],[[],[]]],[]]],[]] => [[],[[[],[[[],[]],[]]],[[],[]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [2,3,6,1,10,4,5,7,8,12,9,11]
[[[[],[]],[[[[],[]],[]],[]]],[]] => [[],[[[],[[],[[],[]]]],[[],[]]]] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [2,3,6,1,9,4,5,7,8,10,12,11]
[[[[],[[],[]]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,7,1,9,10,4,12,5,6,8,11]
[[[[],[[],[]]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[[],[]],[]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,6,1,9,11,4,12,5,7,8,10]
[[[[[],[]],[]],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[[],[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,7,9,1,10,4,5,12,6,8,11]
[[[[[],[]],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,6,9,1,11,4,5,12,7,8,10]
[[[[],[[],[[],[]]]],[[],[]]],[]] => [[],[[[],[]],[[[[],[]],[]],[]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [2,3,6,1,8,9,4,10,11,5,12,7]
[[[[],[[[],[]],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[[],[]]],[]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [2,3,6,1,8,9,10,4,11,5,7,12]
[[[[[],[]],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[[],[]]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,3,6,8,1,9,4,5,10,11,7,12]
[[[[[],[[],[]]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[[],[]],[]]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,6,8,1,9,10,4,12,5,7,11]
[[[[[[],[]],[]],[]],[[],[]]],[]] => [[],[[[],[]],[[],[[],[[],[]]]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,6,8,9,1,10,4,5,12,7,11]
[[[[],[[],[[],[[],[]]]]],[]],[]] => [[],[[],[[[[[],[]],[]],[]],[]]]] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4,8,11,9,10,12]
[[[[],[[],[[[],[]],[]]]],[]],[]] => [[],[[],[[[[],[[],[]]],[]],[]]]] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4,8,10,11,9,12]
[[[[],[[[],[]],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[[],[]]],[]]]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,10,4,12,8,9,11]
[[[[],[[[],[[],[]]],[]]],[]],[]] => [[],[[],[[[],[[[],[]],[]]],[]]]] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,9,4,10,11,8,12]
[[[[],[[[[],[]],[]],[]]],[]],[]] => [[],[[],[[[],[[],[[],[]]]],[]]]] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [2,3,5,1,6,7,9,10,4,12,8,11]
[[[[[],[]],[[],[[],[]]]],[]],[]] => [[],[[],[[[[],[]],[]],[[],[]]]]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,10,4,7,8,12,9,11]
[[[[[],[]],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[[],[]]]]] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,9,4,7,8,10,12,11]
[[[[[],[[],[]]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[[],[]],[]]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,5,6,1,9,11,4,12,7,8,10]
[[[[[[],[]],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[[],[]]]]]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,5,6,9,1,11,4,7,12,8,10]
[[[[[],[[],[[],[]]]],[]],[]],[]] => [[],[[],[[],[[[[],[]],[]],[]]]]] => [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [2,3,5,6,1,8,9,4,10,11,7,12]
[[[[[],[[[],[]],[]]],[]],[]],[]] => [[],[[],[[],[[[],[[],[]]],[]]]]] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [2,3,5,6,1,8,9,10,4,12,7,11]
[[[[[[],[]],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[[],[]]]]]] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [2,3,5,6,8,1,9,4,7,10,12,11]
[[[[[[],[[],[]]],[]],[]],[]],[]] => [[],[[],[[],[[],[[[],[]],[]]]]]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [2,3,5,6,8,1,9,11,4,12,7,10]
[[[[[[[],[]],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[[],[]]]]]]] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,3,5,6,8,9,1,11,4,7,12,10]
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.
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
searching the database
Sorry, this map was not found in the database.