Identifier
-
Mp00048:
Ordered trees
—left-right symmetry⟶
Ordered trees
St000975: Ordered trees ⟶ ℤ
Values
[[]] => [[]] => 1
[[],[]] => [[],[]] => 2
[[[]]] => [[[]]] => 2
[[],[],[]] => [[],[],[]] => 2
[[],[[]]] => [[[]],[]] => 3
[[[]],[]] => [[],[[]]] => 3
[[[],[]]] => [[[],[]]] => 3
[[[[]]]] => [[[[]]]] => 3
[[],[],[],[]] => [[],[],[],[]] => 2
[[],[],[[]]] => [[[]],[],[]] => 3
[[],[[]],[]] => [[],[[]],[]] => 2
[[],[[],[]]] => [[[],[]],[]] => 3
[[],[[[]]]] => [[[[]]],[]] => 4
[[[]],[],[]] => [[],[],[[]]] => 3
[[[]],[[]]] => [[[]],[[]]] => 4
[[[],[]],[]] => [[],[[],[]]] => 3
[[[[]]],[]] => [[],[[[]]]] => 4
[[[],[],[]]] => [[[],[],[]]] => 3
[[[],[[]]]] => [[[[]],[]]] => 4
[[[[]],[]]] => [[[],[[]]]] => 4
[[[[],[]]]] => [[[[],[]]]] => 4
[[[[[]]]]] => [[[[[]]]]] => 4
[[],[],[],[],[]] => [[],[],[],[],[]] => 2
[[],[],[],[[]]] => [[[]],[],[],[]] => 3
[[],[],[[]],[]] => [[],[[]],[],[]] => 2
[[],[],[[],[]]] => [[[],[]],[],[]] => 3
[[],[],[[[]]]] => [[[[]]],[],[]] => 4
[[],[[]],[],[]] => [[],[],[[]],[]] => 2
[[],[[]],[[]]] => [[[]],[[]],[]] => 3
[[],[[],[]],[]] => [[],[[],[]],[]] => 2
[[],[[[]]],[]] => [[],[[[]]],[]] => 2
[[],[[],[],[]]] => [[[],[],[]],[]] => 3
[[],[[],[[]]]] => [[[[]],[]],[]] => 4
[[],[[[]],[]]] => [[[],[[]]],[]] => 3
[[],[[[],[]]]] => [[[[],[]]],[]] => 4
[[],[[[[]]]]] => [[[[[]]]],[]] => 5
[[[]],[],[],[]] => [[],[],[],[[]]] => 3
[[[]],[],[[]]] => [[[]],[],[[]]] => 4
[[[]],[[]],[]] => [[],[[]],[[]]] => 3
[[[]],[[],[]]] => [[[],[]],[[]]] => 4
[[[]],[[[]]]] => [[[[]]],[[]]] => 5
[[[],[]],[],[]] => [[],[],[[],[]]] => 3
[[[[]]],[],[]] => [[],[],[[[]]]] => 4
[[[],[]],[[]]] => [[[]],[[],[]]] => 4
[[[[]]],[[]]] => [[[]],[[[]]]] => 5
[[[],[],[]],[]] => [[],[[],[],[]]] => 3
[[[],[[]]],[]] => [[],[[[]],[]]] => 3
[[[[]],[]],[]] => [[],[[],[[]]]] => 4
[[[[],[]]],[]] => [[],[[[],[]]]] => 4
[[[[[]]]],[]] => [[],[[[[]]]]] => 5
[[[],[],[],[]]] => [[[],[],[],[]]] => 3
[[[],[],[[]]]] => [[[[]],[],[]]] => 4
[[[],[[]],[]]] => [[[],[[]],[]]] => 3
[[[],[[],[]]]] => [[[[],[]],[]]] => 4
[[[],[[[]]]]] => [[[[[]]],[]]] => 5
[[[[]],[],[]]] => [[[],[],[[]]]] => 4
[[[[]],[[]]]] => [[[[]],[[]]]] => 5
[[[[],[]],[]]] => [[[],[[],[]]]] => 4
[[[[[]]],[]]] => [[[],[[[]]]]] => 5
[[[[],[],[]]]] => [[[[],[],[]]]] => 4
[[[[],[[]]]]] => [[[[[]],[]]]] => 5
[[[[[]],[]]]] => [[[[],[[]]]]] => 5
[[[[[],[]]]]] => [[[[[],[]]]]] => 5
[[[[[[]]]]]] => [[[[[[]]]]]] => 5
[[],[],[],[],[],[]] => [[],[],[],[],[],[]] => 2
[[],[],[],[],[[]]] => [[[]],[],[],[],[]] => 3
[[],[],[],[[]],[]] => [[],[[]],[],[],[]] => 2
[[],[],[],[[],[]]] => [[[],[]],[],[],[]] => 3
[[],[],[],[[[]]]] => [[[[]]],[],[],[]] => 4
[[],[],[[]],[],[]] => [[],[],[[]],[],[]] => 2
[[],[],[[]],[[]]] => [[[]],[[]],[],[]] => 3
[[],[],[[],[]],[]] => [[],[[],[]],[],[]] => 2
[[],[],[[[]]],[]] => [[],[[[]]],[],[]] => 2
[[],[],[[],[],[]]] => [[[],[],[]],[],[]] => 3
[[],[],[[],[[]]]] => [[[[]],[]],[],[]] => 4
[[],[],[[[]],[]]] => [[[],[[]]],[],[]] => 3
[[],[],[[[],[]]]] => [[[[],[]]],[],[]] => 4
[[],[],[[[[]]]]] => [[[[[]]]],[],[]] => 5
[[],[[]],[],[],[]] => [[],[],[],[[]],[]] => 2
[[],[[]],[],[[]]] => [[[]],[],[[]],[]] => 3
[[],[[]],[[]],[]] => [[],[[]],[[]],[]] => 2
[[],[[]],[[],[]]] => [[[],[]],[[]],[]] => 3
[[],[[]],[[[]]]] => [[[[]]],[[]],[]] => 4
[[],[[],[]],[],[]] => [[],[],[[],[]],[]] => 2
[[],[[[]]],[],[]] => [[],[],[[[]]],[]] => 2
[[],[[],[]],[[]]] => [[[]],[[],[]],[]] => 3
[[],[[[]]],[[]]] => [[[]],[[[]]],[]] => 3
[[],[[],[],[]],[]] => [[],[[],[],[]],[]] => 2
[[],[[],[[]]],[]] => [[],[[[]],[]],[]] => 2
[[],[[[]],[]],[]] => [[],[[],[[]]],[]] => 2
[[],[[[],[]]],[]] => [[],[[[],[]]],[]] => 2
[[],[[[[]]]],[]] => [[],[[[[]]]],[]] => 2
[[],[[],[],[],[]]] => [[[],[],[],[]],[]] => 3
[[],[[],[],[[]]]] => [[[[]],[],[]],[]] => 4
[[],[[],[[]],[]]] => [[[],[[]],[]],[]] => 3
[[],[[],[[],[]]]] => [[[[],[]],[]],[]] => 4
[[],[[],[[[]]]]] => [[[[[]]],[]],[]] => 5
[[],[[[]],[],[]]] => [[[],[],[[]]],[]] => 3
[[],[[[]],[[]]]] => [[[[]],[[]]],[]] => 4
[[],[[[],[]],[]]] => [[[],[[],[]]],[]] => 3
[[],[[[[]]],[]]] => [[[],[[[]]]],[]] => 3
>>> Load all 1200 entries. <<<[[],[[[],[],[]]]] => [[[[],[],[]]],[]] => 4
[[],[[[],[[]]]]] => [[[[[]],[]]],[]] => 5
[[],[[[[]],[]]]] => [[[[],[[]]]],[]] => 4
[[],[[[[],[]]]]] => [[[[[],[]]]],[]] => 5
[[],[[[[[]]]]]] => [[[[[[]]]]],[]] => 6
[[[]],[],[],[],[]] => [[],[],[],[],[[]]] => 3
[[[]],[],[],[[]]] => [[[]],[],[],[[]]] => 4
[[[]],[],[[]],[]] => [[],[[]],[],[[]]] => 3
[[[]],[],[[],[]]] => [[[],[]],[],[[]]] => 4
[[[]],[],[[[]]]] => [[[[]]],[],[[]]] => 5
[[[]],[[]],[],[]] => [[],[],[[]],[[]]] => 3
[[[]],[[]],[[]]] => [[[]],[[]],[[]]] => 4
[[[]],[[],[]],[]] => [[],[[],[]],[[]]] => 3
[[[]],[[[]]],[]] => [[],[[[]]],[[]]] => 3
[[[]],[[],[],[]]] => [[[],[],[]],[[]]] => 4
[[[]],[[],[[]]]] => [[[[]],[]],[[]]] => 5
[[[]],[[[]],[]]] => [[[],[[]]],[[]]] => 4
[[[]],[[[],[]]]] => [[[[],[]]],[[]]] => 5
[[[]],[[[[]]]]] => [[[[[]]]],[[]]] => 6
[[[],[]],[],[],[]] => [[],[],[],[[],[]]] => 3
[[[[]]],[],[],[]] => [[],[],[],[[[]]]] => 4
[[[],[]],[],[[]]] => [[[]],[],[[],[]]] => 4
[[[[]]],[],[[]]] => [[[]],[],[[[]]]] => 5
[[[],[]],[[]],[]] => [[],[[]],[[],[]]] => 3
[[[[]]],[[]],[]] => [[],[[]],[[[]]]] => 4
[[[],[]],[[],[]]] => [[[],[]],[[],[]]] => 4
[[[],[]],[[[]]]] => [[[[]]],[[],[]]] => 5
[[[[]]],[[],[]]] => [[[],[]],[[[]]]] => 5
[[[[]]],[[[]]]] => [[[[]]],[[[]]]] => 6
[[[],[],[]],[],[]] => [[],[],[[],[],[]]] => 3
[[[],[[]]],[],[]] => [[],[],[[[]],[]]] => 3
[[[[]],[]],[],[]] => [[],[],[[],[[]]]] => 4
[[[[],[]]],[],[]] => [[],[],[[[],[]]]] => 4
[[[[[]]]],[],[]] => [[],[],[[[[]]]]] => 5
[[[],[],[]],[[]]] => [[[]],[[],[],[]]] => 4
[[[],[[]]],[[]]] => [[[]],[[[]],[]]] => 4
[[[[]],[]],[[]]] => [[[]],[[],[[]]]] => 5
[[[[],[]]],[[]]] => [[[]],[[[],[]]]] => 5
[[[[[]]]],[[]]] => [[[]],[[[[]]]]] => 6
[[[],[],[],[]],[]] => [[],[[],[],[],[]]] => 3
[[[],[],[[]]],[]] => [[],[[[]],[],[]]] => 3
[[[],[[]],[]],[]] => [[],[[],[[]],[]]] => 3
[[[],[[],[]]],[]] => [[],[[[],[]],[]]] => 3
[[[],[[[]]]],[]] => [[],[[[[]]],[]]] => 3
[[[[]],[],[]],[]] => [[],[[],[],[[]]]] => 4
[[[[]],[[]]],[]] => [[],[[[]],[[]]]] => 4
[[[[],[]],[]],[]] => [[],[[],[[],[]]]] => 4
[[[[[]]],[]],[]] => [[],[[],[[[]]]]] => 5
[[[[],[],[]]],[]] => [[],[[[],[],[]]]] => 4
[[[[],[[]]]],[]] => [[],[[[[]],[]]]] => 4
[[[[[]],[]]],[]] => [[],[[[],[[]]]]] => 5
[[[[[],[]]]],[]] => [[],[[[[],[]]]]] => 5
[[[[[[]]]]],[]] => [[],[[[[[]]]]]] => 6
[[[],[],[],[],[]]] => [[[],[],[],[],[]]] => 3
[[[],[],[],[[]]]] => [[[[]],[],[],[]]] => 4
[[[],[],[[]],[]]] => [[[],[[]],[],[]]] => 3
[[[],[],[[],[]]]] => [[[[],[]],[],[]]] => 4
[[[],[],[[[]]]]] => [[[[[]]],[],[]]] => 5
[[[],[[]],[],[]]] => [[[],[],[[]],[]]] => 3
[[[],[[]],[[]]]] => [[[[]],[[]],[]]] => 4
[[[],[[],[]],[]]] => [[[],[[],[]],[]]] => 3
[[[],[[[]]],[]]] => [[[],[[[]]],[]]] => 3
[[[],[[],[],[]]]] => [[[[],[],[]],[]]] => 4
[[[],[[],[[]]]]] => [[[[[]],[]],[]]] => 5
[[[],[[[]],[]]]] => [[[[],[[]]],[]]] => 4
[[[],[[[],[]]]]] => [[[[[],[]]],[]]] => 5
[[[],[[[[]]]]]] => [[[[[[]]]],[]]] => 6
[[[[]],[],[],[]]] => [[[],[],[],[[]]]] => 4
[[[[]],[],[[]]]] => [[[[]],[],[[]]]] => 5
[[[[]],[[]],[]]] => [[[],[[]],[[]]]] => 4
[[[[]],[[],[]]]] => [[[[],[]],[[]]]] => 5
[[[[]],[[[]]]]] => [[[[[]]],[[]]]] => 6
[[[[],[]],[],[]]] => [[[],[],[[],[]]]] => 4
[[[[[]]],[],[]]] => [[[],[],[[[]]]]] => 5
[[[[],[]],[[]]]] => [[[[]],[[],[]]]] => 5
[[[[[]]],[[]]]] => [[[[]],[[[]]]]] => 6
[[[[],[],[]],[]]] => [[[],[[],[],[]]]] => 4
[[[[],[[]]],[]]] => [[[],[[[]],[]]]] => 4
[[[[[]],[]],[]]] => [[[],[[],[[]]]]] => 5
[[[[[],[]]],[]]] => [[[],[[[],[]]]]] => 5
[[[[[[]]]],[]]] => [[[],[[[[]]]]]] => 6
[[[[],[],[],[]]]] => [[[[],[],[],[]]]] => 4
[[[[],[],[[]]]]] => [[[[[]],[],[]]]] => 5
[[[[],[[]],[]]]] => [[[[],[[]],[]]]] => 4
[[[[],[[],[]]]]] => [[[[[],[]],[]]]] => 5
[[[[],[[[]]]]]] => [[[[[[]]],[]]]] => 6
[[[[[]],[],[]]]] => [[[[],[],[[]]]]] => 5
[[[[[]],[[]]]]] => [[[[[]],[[]]]]] => 6
[[[[[],[]],[]]]] => [[[[],[[],[]]]]] => 5
[[[[[[]]],[]]]] => [[[[],[[[]]]]]] => 6
[[[[[],[],[]]]]] => [[[[[],[],[]]]]] => 5
[[[[[],[[]]]]]] => [[[[[[]],[]]]]] => 6
[[[[[[]],[]]]]] => [[[[[],[[]]]]]] => 6
[[[[[[],[]]]]]] => [[[[[[],[]]]]]] => 6
[[[[[[[]]]]]]] => [[[[[[[]]]]]]] => 6
[[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]] => 3
[[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]] => 2
[[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]] => 3
[[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]] => 4
[[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => 2
[[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]] => 3
[[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]] => 2
[[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]] => 2
[[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]] => 3
[[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]] => 4
[[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]] => 3
[[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]] => 4
[[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]] => 5
[[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]] => 2
[[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]] => 3
[[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => 2
[[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]] => 3
[[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]] => 4
[[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]] => 2
[[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]] => 2
[[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]] => 3
[[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]] => 3
[[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => 2
[[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]] => 2
[[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]] => 2
[[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => 2
[[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => 2
[[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]] => 3
[[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]] => 4
[[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]] => 3
[[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]] => 4
[[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]] => 5
[[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]] => 3
[[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]] => 4
[[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]] => 3
[[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]] => 3
[[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]] => 4
[[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]] => 5
[[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]] => 4
[[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]] => 5
[[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]] => 6
[[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]] => 2
[[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]] => 3
[[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]] => 2
[[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]] => 3
[[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]] => 4
[[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]] => 2
[[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]] => 3
[[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]] => 2
[[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]] => 2
[[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]] => 3
[[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[]] => 4
[[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]] => 3
[[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]] => 4
[[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]] => 5
[[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]] => 2
[[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]] => 2
[[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]] => 3
[[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]] => 3
[[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]] => 2
[[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]] => 2
[[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]] => 3
[[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]] => 4
[[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]] => 3
[[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]] => 4
[[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]] => 2
[[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]] => 2
[[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]] => 2
[[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]] => 2
[[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]] => 2
[[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]] => 3
[[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]] => 3
[[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]] => 3
[[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]] => 3
[[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]] => 3
[[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]] => 2
[[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]] => 2
[[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]] => 2
[[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]] => 2
[[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]] => 2
[[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]] => 2
[[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]] => 2
[[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]] => 2
[[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]] => 2
[[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]] => 2
[[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]] => 2
[[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]] => 2
[[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]] => 2
[[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]] => 2
[[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]] => 3
[[],[[],[],[],[[]]]] => [[[[]],[],[],[]],[]] => 4
[[],[[],[],[[]],[]]] => [[[],[[]],[],[]],[]] => 3
[[],[[],[],[[],[]]]] => [[[[],[]],[],[]],[]] => 4
[[],[[],[],[[[]]]]] => [[[[[]]],[],[]],[]] => 5
[[],[[],[[]],[],[]]] => [[[],[],[[]],[]],[]] => 3
[[],[[],[[]],[[]]]] => [[[[]],[[]],[]],[]] => 4
[[],[[],[[],[]],[]]] => [[[],[[],[]],[]],[]] => 3
[[],[[],[[[]]],[]]] => [[[],[[[]]],[]],[]] => 3
[[],[[],[[],[],[]]]] => [[[[],[],[]],[]],[]] => 4
[[],[[],[[],[[]]]]] => [[[[[]],[]],[]],[]] => 5
[[],[[],[[[]],[]]]] => [[[[],[[]]],[]],[]] => 4
[[],[[],[[[],[]]]]] => [[[[[],[]]],[]],[]] => 5
[[],[[],[[[[]]]]]] => [[[[[[]]]],[]],[]] => 6
[[],[[[]],[],[],[]]] => [[[],[],[],[[]]],[]] => 3
[[],[[[]],[],[[]]]] => [[[[]],[],[[]]],[]] => 4
[[],[[[]],[[]],[]]] => [[[],[[]],[[]]],[]] => 3
[[],[[[]],[[],[]]]] => [[[[],[]],[[]]],[]] => 4
[[],[[[]],[[[]]]]] => [[[[[]]],[[]]],[]] => 5
[[],[[[],[]],[],[]]] => [[[],[],[[],[]]],[]] => 3
[[],[[[[]]],[],[]]] => [[[],[],[[[]]]],[]] => 3
[[],[[[],[]],[[]]]] => [[[[]],[[],[]]],[]] => 4
[[],[[[[]]],[[]]]] => [[[[]],[[[]]]],[]] => 4
[[],[[[],[],[]],[]]] => [[[],[[],[],[]]],[]] => 3
[[],[[[],[[]]],[]]] => [[[],[[[]],[]]],[]] => 3
[[],[[[[]],[]],[]]] => [[[],[[],[[]]]],[]] => 3
[[],[[[[],[]]],[]]] => [[[],[[[],[]]]],[]] => 3
[[],[[[[[]]]],[]]] => [[[],[[[[]]]]],[]] => 3
[[],[[[],[],[],[]]]] => [[[[],[],[],[]]],[]] => 4
[[],[[[],[],[[]]]]] => [[[[[]],[],[]]],[]] => 5
[[],[[[],[[]],[]]]] => [[[[],[[]],[]]],[]] => 4
[[],[[[],[[],[]]]]] => [[[[[],[]],[]]],[]] => 5
[[],[[[],[[[]]]]]] => [[[[[[]]],[]]],[]] => 6
[[],[[[[]],[],[]]]] => [[[[],[],[[]]]],[]] => 4
[[],[[[[]],[[]]]]] => [[[[[]],[[]]]],[]] => 5
[[],[[[[],[]],[]]]] => [[[[],[[],[]]]],[]] => 4
[[],[[[[[]]],[]]]] => [[[[],[[[]]]]],[]] => 4
[[],[[[[],[],[]]]]] => [[[[[],[],[]]]],[]] => 5
[[],[[[[],[[]]]]]] => [[[[[[]],[]]]],[]] => 6
[[],[[[[[]],[]]]]] => [[[[[],[[]]]]],[]] => 5
[[],[[[[[],[]]]]]] => [[[[[[],[]]]]],[]] => 6
[[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]] => 7
[[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]] => 3
[[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]] => 4
[[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]]] => 3
[[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]] => 4
[[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]] => 5
[[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]] => 3
[[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]] => 4
[[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]] => 3
[[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]] => 3
[[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]] => 4
[[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]] => 5
[[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]] => 4
[[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]] => 5
[[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]] => 6
[[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]]] => 3
[[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]] => 4
[[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]] => 3
[[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]] => 4
[[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]] => 5
[[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]] => 3
[[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]] => 3
[[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]] => 4
[[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]] => 4
[[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]] => 3
[[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]] => 3
[[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]] => 3
[[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]] => 3
[[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]] => 3
[[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]] => 4
[[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]] => 5
[[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]] => 4
[[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]]] => 5
[[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]] => 6
[[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]] => 4
[[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]] => 5
[[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]]] => 4
[[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]]] => 4
[[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]] => 5
[[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]] => 6
[[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]] => 5
[[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]] => 6
[[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]] => 7
[[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]]] => 3
[[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]] => 4
[[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]] => 4
[[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]] => 5
[[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]] => 3
[[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]] => 4
[[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]] => 4
[[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]] => 5
[[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]] => 5
[[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]] => 6
[[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]] => 3
[[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]] => 4
[[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]] => 4
[[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]] => 5
[[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]] => 3
[[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]] => 3
[[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]] => 4
[[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]] => 4
[[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]] => 4
[[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]] => 5
[[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]] => 4
[[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]] => 5
[[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]] => 6
[[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]] => 5
[[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]] => 6
[[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]] => 5
[[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]] => 6
[[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]] => 7
[[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]] => 3
[[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]] => 3
[[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]] => 4
[[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]] => 4
[[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]] => 5
[[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]] => 4
[[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]] => 4
[[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]] => 5
[[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]] => 5
[[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]] => 6
[[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]] => 3
[[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]] => 3
[[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]] => 4
[[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]] => 4
[[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]] => 5
[[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]] => 4
[[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]] => 5
[[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]] => 4
[[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]] => 5
[[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]] => 5
[[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]] => 6
[[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]] => 5
[[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]] => 6
[[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]] => 6
[[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]] => 7
[[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]] => 3
[[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]] => 3
[[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]] => 3
[[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]] => 3
[[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]] => 3
[[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]] => 4
[[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]] => 4
[[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]] => 4
[[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]] => 5
[[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]] => 4
[[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]] => 4
[[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]] => 5
[[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]] => 5
[[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]] => 6
[[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]] => 4
[[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]] => 4
[[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]] => 4
[[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]] => 4
[[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]] => 4
[[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]] => 5
[[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]] => 5
[[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]] => 5
[[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]] => 6
[[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]] => 5
[[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => 5
[[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]] => 6
[[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]] => 6
[[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]] => 7
[[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]] => 3
[[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]]] => 3
[[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]]] => 3
[[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]]] => 3
[[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]]] => 3
[[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]]] => 3
[[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]]] => 3
[[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]]] => 3
[[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]]] => 3
[[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]]] => 3
[[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]]] => 3
[[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]]] => 3
[[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]]] => 3
[[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]]] => 3
[[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]]] => 4
[[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]]] => 4
[[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]]] => 4
[[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]]] => 4
[[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]]] => 4
[[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]]] => 4
[[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]]] => 5
[[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]]] => 4
[[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]]] => 5
[[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]]] => 4
[[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]]] => 4
[[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]]] => 5
[[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]]] => 5
[[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]]] => 6
[[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]]] => 4
[[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]]] => 4
[[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]]] => 4
[[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]]] => 4
[[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]]] => 4
[[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]]] => 5
[[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]]] => 5
[[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]]] => 5
[[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]]] => 6
[[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]]] => 5
[[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]]] => 5
[[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]]] => 6
[[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]]] => 6
[[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]] => 7
[[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]] => 3
[[[],[],[],[],[[]]]] => [[[[]],[],[],[],[]]] => 4
[[[],[],[],[[]],[]]] => [[[],[[]],[],[],[]]] => 3
[[[],[],[],[[],[]]]] => [[[[],[]],[],[],[]]] => 4
[[[],[],[],[[[]]]]] => [[[[[]]],[],[],[]]] => 5
[[[],[],[[]],[],[]]] => [[[],[],[[]],[],[]]] => 3
[[[],[],[[]],[[]]]] => [[[[]],[[]],[],[]]] => 4
[[[],[],[[],[]],[]]] => [[[],[[],[]],[],[]]] => 3
[[[],[],[[[]]],[]]] => [[[],[[[]]],[],[]]] => 3
[[[],[],[[],[],[]]]] => [[[[],[],[]],[],[]]] => 4
[[[],[],[[],[[]]]]] => [[[[[]],[]],[],[]]] => 5
[[[],[],[[[]],[]]]] => [[[[],[[]]],[],[]]] => 4
[[[],[],[[[],[]]]]] => [[[[[],[]]],[],[]]] => 5
[[[],[],[[[[]]]]]] => [[[[[[]]]],[],[]]] => 6
[[[],[[]],[],[],[]]] => [[[],[],[],[[]],[]]] => 3
[[[],[[]],[],[[]]]] => [[[[]],[],[[]],[]]] => 4
[[[],[[]],[[]],[]]] => [[[],[[]],[[]],[]]] => 3
[[[],[[]],[[],[]]]] => [[[[],[]],[[]],[]]] => 4
[[[],[[]],[[[]]]]] => [[[[[]]],[[]],[]]] => 5
[[[],[[],[]],[],[]]] => [[[],[],[[],[]],[]]] => 3
[[[],[[[]]],[],[]]] => [[[],[],[[[]]],[]]] => 3
[[[],[[],[]],[[]]]] => [[[[]],[[],[]],[]]] => 4
[[[],[[[]]],[[]]]] => [[[[]],[[[]]],[]]] => 4
[[[],[[],[],[]],[]]] => [[[],[[],[],[]],[]]] => 3
[[[],[[],[[]]],[]]] => [[[],[[[]],[]],[]]] => 3
[[[],[[[]],[]],[]]] => [[[],[[],[[]]],[]]] => 3
[[[],[[[],[]]],[]]] => [[[],[[[],[]]],[]]] => 3
[[[],[[[[]]]],[]]] => [[[],[[[[]]]],[]]] => 3
[[[],[[],[],[],[]]]] => [[[[],[],[],[]],[]]] => 4
[[[],[[],[],[[]]]]] => [[[[[]],[],[]],[]]] => 5
[[[],[[],[[]],[]]]] => [[[[],[[]],[]],[]]] => 4
[[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]]] => 5
[[[],[[],[[[]]]]]] => [[[[[[]]],[]],[]]] => 6
[[[],[[[]],[],[]]]] => [[[[],[],[[]]],[]]] => 4
[[[],[[[]],[[]]]]] => [[[[[]],[[]]],[]]] => 5
[[[],[[[],[]],[]]]] => [[[[],[[],[]]],[]]] => 4
[[[],[[[[]]],[]]]] => [[[[],[[[]]]],[]]] => 4
[[[],[[[],[],[]]]]] => [[[[[],[],[]]],[]]] => 5
[[[],[[[],[[]]]]]] => [[[[[[]],[]]],[]]] => 6
[[[],[[[[]],[]]]]] => [[[[[],[[]]]],[]]] => 5
[[[],[[[[],[]]]]]] => [[[[[[],[]]]],[]]] => 6
[[[],[[[[[]]]]]]] => [[[[[[[]]]]],[]]] => 7
[[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => 4
[[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]] => 5
[[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => 4
[[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]] => 5
[[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]] => 6
[[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]] => 4
[[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => 5
[[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]] => 4
[[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]] => 4
[[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => 5
[[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]] => 6
[[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]] => 5
[[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => 6
[[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => 7
[[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]] => 4
[[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]] => 5
[[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]] => 5
[[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]] => 6
[[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]] => 4
[[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]] => 5
[[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]] => 5
[[[[],[]],[[[]]]]] => [[[[[]]],[[],[]]]] => 6
[[[[[]]],[[],[]]]] => [[[[],[]],[[[]]]]] => 6
[[[[[]]],[[[]]]]] => [[[[[]]],[[[]]]]] => 7
[[[[],[],[]],[],[]]] => [[[],[],[[],[],[]]]] => 4
[[[[],[[]]],[],[]]] => [[[],[],[[[]],[]]]] => 4
[[[[[]],[]],[],[]]] => [[[],[],[[],[[]]]]] => 5
[[[[[],[]]],[],[]]] => [[[],[],[[[],[]]]]] => 5
[[[[[[]]]],[],[]]] => [[[],[],[[[[]]]]]] => 6
[[[[],[],[]],[[]]]] => [[[[]],[[],[],[]]]] => 5
[[[[],[[]]],[[]]]] => [[[[]],[[[]],[]]]] => 5
[[[[[]],[]],[[]]]] => [[[[]],[[],[[]]]]] => 6
[[[[[],[]]],[[]]]] => [[[[]],[[[],[]]]]] => 6
[[[[[[]]]],[[]]]] => [[[[]],[[[[]]]]]] => 7
[[[[],[],[],[]],[]]] => [[[],[[],[],[],[]]]] => 4
[[[[],[],[[]]],[]]] => [[[],[[[]],[],[]]]] => 4
[[[[],[[]],[]],[]]] => [[[],[[],[[]],[]]]] => 4
[[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]]] => 4
[[[[],[[[]]]],[]]] => [[[],[[[[]]],[]]]] => 4
[[[[[]],[],[]],[]]] => [[[],[[],[],[[]]]]] => 5
[[[[[]],[[]]],[]]] => [[[],[[[]],[[]]]]] => 5
[[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]]] => 5
[[[[[[]]],[]],[]]] => [[[],[[],[[[]]]]]] => 6
[[[[[],[],[]]],[]]] => [[[],[[[],[],[]]]]] => 5
[[[[[],[[]]]],[]]] => [[[],[[[[]],[]]]]] => 5
[[[[[[]],[]]],[]]] => [[[],[[[],[[]]]]]] => 6
[[[[[[],[]]]],[]]] => [[[],[[[[],[]]]]]] => 6
[[[[[[[]]]]],[]]] => [[[],[[[[[]]]]]]] => 7
[[[[],[],[],[],[]]]] => [[[[],[],[],[],[]]]] => 4
[[[[],[],[],[[]]]]] => [[[[[]],[],[],[]]]] => 5
[[[[],[],[[]],[]]]] => [[[[],[[]],[],[]]]] => 4
[[[[],[],[[],[]]]]] => [[[[[],[]],[],[]]]] => 5
[[[[],[],[[[]]]]]] => [[[[[[]]],[],[]]]] => 6
[[[[],[[]],[],[]]]] => [[[[],[],[[]],[]]]] => 4
[[[[],[[]],[[]]]]] => [[[[[]],[[]],[]]]] => 5
[[[[],[[],[]],[]]]] => [[[[],[[],[]],[]]]] => 4
[[[[],[[[]]],[]]]] => [[[[],[[[]]],[]]]] => 4
[[[[],[[],[],[]]]]] => [[[[[],[],[]],[]]]] => 5
[[[[],[[],[[]]]]]] => [[[[[[]],[]],[]]]] => 6
[[[[],[[[]],[]]]]] => [[[[[],[[]]],[]]]] => 5
[[[[],[[[],[]]]]]] => [[[[[[],[]]],[]]]] => 6
[[[[],[[[[]]]]]]] => [[[[[[[]]]],[]]]] => 7
[[[[[]],[],[],[]]]] => [[[[],[],[],[[]]]]] => 5
[[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]] => 6
[[[[[]],[[]],[]]]] => [[[[],[[]],[[]]]]] => 5
[[[[[]],[[],[]]]]] => [[[[[],[]],[[]]]]] => 6
[[[[[]],[[[]]]]]] => [[[[[[]]],[[]]]]] => 7
[[[[[],[]],[],[]]]] => [[[[],[],[[],[]]]]] => 5
[[[[[[]]],[],[]]]] => [[[[],[],[[[]]]]]] => 6
[[[[[],[]],[[]]]]] => [[[[[]],[[],[]]]]] => 6
[[[[[[]]],[[]]]]] => [[[[[]],[[[]]]]]] => 7
[[[[[],[],[]],[]]]] => [[[[],[[],[],[]]]]] => 5
[[[[[],[[]]],[]]]] => [[[[],[[[]],[]]]]] => 5
[[[[[[]],[]],[]]]] => [[[[],[[],[[]]]]]] => 6
[[[[[[],[]]],[]]]] => [[[[],[[[],[]]]]]] => 6
[[[[[[[]]]],[]]]] => [[[[],[[[[]]]]]]] => 7
[[[[[],[],[],[]]]]] => [[[[[],[],[],[]]]]] => 5
[[[[[],[],[[]]]]]] => [[[[[[]],[],[]]]]] => 6
[[[[[],[[]],[]]]]] => [[[[[],[[]],[]]]]] => 5
[[[[[],[[],[]]]]]] => [[[[[[],[]],[]]]]] => 6
[[[[[],[[[]]]]]]] => [[[[[[[]]],[]]]]] => 7
[[[[[[]],[],[]]]]] => [[[[[],[],[[]]]]]] => 6
[[[[[[]],[[]]]]]] => [[[[[[]],[[]]]]]] => 7
[[[[[[],[]],[]]]]] => [[[[[],[[],[]]]]]] => 6
[[[[[[[]]],[]]]]] => [[[[[],[[[]]]]]]] => 7
[[[[[[],[],[]]]]]] => [[[[[[],[],[]]]]]] => 6
[[[[[[],[[]]]]]]] => [[[[[[[]],[]]]]]] => 7
[[[[[[[]],[]]]]]] => [[[[[[],[[]]]]]]] => 7
[[[[[[[],[]]]]]]] => [[[[[[[],[]]]]]]] => 7
[[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]]] => 7
[[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]] => 3
[[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]] => 2
[[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]] => 3
[[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]] => 4
[[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]] => 2
[[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]] => 3
[[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]] => 2
[[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]] => 2
[[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]] => 2
[[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]] => 3
[[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]] => 2
[[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]] => 2
[[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]] => 2
[[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]] => 3
[[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]] => 3
[[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]] => 2
[[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]] => 2
[[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]] => 2
[[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]] => 2
[[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]] => 2
[[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]] => 2
[[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]] => 3
[[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]] => 2
[[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]] => 3
[[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]] => 4
[[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]] => 2
[[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]] => 3
[[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]] => 2
[[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]] => 2
[[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]] => 2
[[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]] => 2
[[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]] => 3
[[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]] => 3
[[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]] => 2
[[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]] => 2
[[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]] => 2
[[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]] => 2
[[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]] => 2
[[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]] => 2
[[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]] => 2
[[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]] => 3
[[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]] => 3
[[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]] => 3
[[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]] => 3
[[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]] => 3
[[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]] => 2
[[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]] => 2
[[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]] => 2
[[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]] => 2
[[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]] => 2
[[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]] => 2
[[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]] => 2
[[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]] => 2
[[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]] => 2
[[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]] => 2
[[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]] => 2
[[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]] => 2
[[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]] => 2
[[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]] => 2
[[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]] => 2
[[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]] => 3
[[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]] => 2
[[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]] => 3
[[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]] => 4
[[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]] => 2
[[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]] => 3
[[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]] => 2
[[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]] => 2
[[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]] => 2
[[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]] => 3
[[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]] => 2
[[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]] => 2
[[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]] => 2
[[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]] => 3
[[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]] => 3
[[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]] => 2
[[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]] => 2
[[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]] => 2
[[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]] => 2
[[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]] => 2
[[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]] => 2
[[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]] => 2
[[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]] => 3
[[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]] => 3
[[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]] => 2
[[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]] => 2
[[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]] => 2
[[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]] => 2
[[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]] => 3
[[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]] => 3
[[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]] => 2
[[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]] => 2
[[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]] => 2
[[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]] => 2
[[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]] => 2
[[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]] => 2
[[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]] => 2
[[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]] => 2
[[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]] => 2
[[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]] => 3
[[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]] => 3
[[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]] => 3
[[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]] => 3
[[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]] => 3
[[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]] => 2
[[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]] => 2
[[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]] => 2
[[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]] => 2
[[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]] => 2
[[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]] => 2
[[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]] => 2
[[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]] => 2
[[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]] => 2
[[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]] => 2
[[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]] => 2
[[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]] => 2
[[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]] => 2
[[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]] => 2
[[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]] => 2
[[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]] => 2
[[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]] => 2
[[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]] => 2
[[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]] => 2
[[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]] => 3
[[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]] => 3
[[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]] => 3
[[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]] => 3
[[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]] => 3
[[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]] => 3
[[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]] => 3
[[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]] => 3
[[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]] => 3
[[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]] => 3
[[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]] => 3
[[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]] => 3
[[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]] => 3
[[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]] => 3
[[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]] => 2
[[],[[],[],[],[[]]],[]] => [[],[[[]],[],[],[]],[]] => 2
[[],[[],[],[[]],[]],[]] => [[],[[],[[]],[],[]],[]] => 2
[[],[[],[],[[],[]]],[]] => [[],[[[],[]],[],[]],[]] => 2
[[],[[],[],[[[]]]],[]] => [[],[[[[]]],[],[]],[]] => 2
[[],[[],[[]],[],[]],[]] => [[],[[],[],[[]],[]],[]] => 2
[[],[[],[[]],[[]]],[]] => [[],[[[]],[[]],[]],[]] => 2
[[],[[],[[],[]],[]],[]] => [[],[[],[[],[]],[]],[]] => 2
[[],[[],[[[]]],[]],[]] => [[],[[],[[[]]],[]],[]] => 2
[[],[[],[[],[],[]]],[]] => [[],[[[],[],[]],[]],[]] => 2
[[],[[],[[],[[]]]],[]] => [[],[[[[]],[]],[]],[]] => 2
[[],[[],[[[]],[]]],[]] => [[],[[[],[[]]],[]],[]] => 2
[[],[[],[[[],[]]]],[]] => [[],[[[[],[]]],[]],[]] => 2
[[],[[],[[[[]]]]],[]] => [[],[[[[[]]]],[]],[]] => 2
[[],[[[]],[],[],[]],[]] => [[],[[],[],[],[[]]],[]] => 2
[[],[[[]],[],[[]]],[]] => [[],[[[]],[],[[]]],[]] => 2
[[],[[[]],[[]],[]],[]] => [[],[[],[[]],[[]]],[]] => 2
[[],[[[]],[[],[]]],[]] => [[],[[[],[]],[[]]],[]] => 2
[[],[[[]],[[[]]]],[]] => [[],[[[[]]],[[]]],[]] => 2
[[],[[[],[]],[],[]],[]] => [[],[[],[],[[],[]]],[]] => 2
[[],[[[[]]],[],[]],[]] => [[],[[],[],[[[]]]],[]] => 2
[[],[[[],[]],[[]]],[]] => [[],[[[]],[[],[]]],[]] => 2
[[],[[[[]]],[[]]],[]] => [[],[[[]],[[[]]]],[]] => 2
[[],[[[],[],[]],[]],[]] => [[],[[],[[],[],[]]],[]] => 2
[[],[[[],[[]]],[]],[]] => [[],[[],[[[]],[]]],[]] => 2
[[],[[[[]],[]],[]],[]] => [[],[[],[[],[[]]]],[]] => 2
[[],[[[[],[]]],[]],[]] => [[],[[],[[[],[]]]],[]] => 2
[[],[[[[[]]]],[]],[]] => [[],[[],[[[[]]]]],[]] => 2
[[],[[[],[],[],[]]],[]] => [[],[[[],[],[],[]]],[]] => 2
[[],[[[],[],[[]]]],[]] => [[],[[[[]],[],[]]],[]] => 2
[[],[[[],[[]],[]]],[]] => [[],[[[],[[]],[]]],[]] => 2
[[],[[[],[[],[]]]],[]] => [[],[[[[],[]],[]]],[]] => 2
[[],[[[],[[[]]]]],[]] => [[],[[[[[]]],[]]],[]] => 2
[[],[[[[]],[],[]]],[]] => [[],[[[],[],[[]]]],[]] => 2
[[],[[[[]],[[]]]],[]] => [[],[[[[]],[[]]]],[]] => 2
[[],[[[[],[]],[]]],[]] => [[],[[[],[[],[]]]],[]] => 2
[[],[[[[[]]],[]]],[]] => [[],[[[],[[[]]]]],[]] => 2
[[],[[[[],[],[]]]],[]] => [[],[[[[],[],[]]]],[]] => 2
[[],[[[[],[[]]]]],[]] => [[],[[[[[]],[]]]],[]] => 2
[[],[[[[[]],[]]]],[]] => [[],[[[[],[[]]]]],[]] => 2
[[],[[[[[],[]]]]],[]] => [[],[[[[[],[]]]]],[]] => 2
[[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]] => 2
[[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]] => 3
[[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]] => 4
[[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]] => 3
[[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]] => 4
[[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]] => 5
[[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]] => 3
[[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]] => 4
[[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]] => 3
[[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]] => 3
[[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]] => 3
[[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]] => 4
[[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]] => 3
[[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]] => 3
[[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]] => 3
[[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]] => 4
[[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]] => 4
[[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]] => 3
[[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]] => 3
[[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]] => 3
[[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]] => 3
[[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]] => 3
[[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]] => 3
[[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]] => 4
[[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]] => 3
[[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]] => 4
[[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]] => 5
[[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]] => 3
[[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]] => 4
[[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]] => 3
[[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]] => 3
[[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]] => 3
[[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]] => 3
[[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]] => 4
[[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]] => 4
[[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]] => 3
[[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]] => 3
[[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]] => 3
[[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]] => 3
[[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]] => 3
[[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]] => 3
[[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]] => 3
[[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]] => 4
[[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]] => 4
[[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]] => 4
[[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]] => 4
[[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]] => 4
[[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]] => 3
[[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]] => 3
[[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]] => 3
[[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]] => 3
[[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]] => 3
[[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]] => 3
[[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]] => 3
[[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]] => 3
[[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]] => 3
[[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]] => 3
[[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]] => 3
[[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]] => 3
[[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]] => 3
[[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]] => 3
[[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]] => 3
[[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]] => 4
[[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]] => 4
[[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]] => 5
[[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]] => 3
[[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]] => 4
[[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]] => 4
[[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]] => 5
[[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]] => 5
[[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]] => 6
[[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]] => 3
[[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]] => 4
[[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]] => 4
[[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]] => 5
[[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]] => 3
[[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]] => 3
[[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]] => 4
[[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]] => 4
[[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]] => 3
[[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]] => 4
[[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]] => 4
[[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]] => 5
[[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]] => 3
[[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]] => 4
[[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]] => 3
[[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]] => 3
[[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]] => 4
[[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]] => 4
[[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]] => 4
[[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]] => 4
[[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]] => 5
[[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]] => 5
[[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]] => 3
[[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]] => 3
[[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]] => 3
[[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]] => 3
[[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]] => 3
[[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]] => 4
[[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]] => 4
[[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]] => 4
[[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]] => 4
[[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]] => 4
[[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]] => 3
[[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]] => 3
[[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]] => 4
[[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]] => 4
[[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]] => 5
[[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]] => 4
[[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]] => 4
[[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]] => 5
[[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]] => 5
[[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]] => 6
[[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]] => 3
[[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]] => 3
[[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]] => 4
[[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]] => 4
[[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]] => 5
[[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]] => 3
[[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]] => 3
[[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]] => 4
[[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]] => 4
[[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]] => 5
[[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]] => 4
[[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]] => 4
[[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]] => 5
[[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]] => 5
[[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]] => 6
[[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]] => 3
[[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]] => 3
[[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]] => 3
[[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]] => 3
[[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]] => 4
[[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]] => 4
[[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]] => 4
[[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]] => 4
[[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]] => 5
[[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]] => 5
[[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]] => 3
[[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]] => 3
[[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]] => 3
[[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]] => 3
[[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]] => 3
[[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]] => 4
[[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]] => 4
[[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]] => 4
[[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]] => 5
[[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]] => 4
[[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]] => 4
[[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]] => 5
[[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]] => 5
[[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]] => 6
[[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]] => 4
[[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]] => 4
[[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]] => 4
[[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]] => 4
[[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]] => 4
[[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]] => 5
[[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]] => 5
[[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]] => 5
[[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]] => 6
[[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]] => 5
[[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]] => 5
[[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]] => 6
[[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]] => 6
[[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]] => 7
[[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]] => 3
[[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]] => 3
[[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]] => 3
[[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]] => 3
[[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]] => 3
[[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]] => 4
[[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]] => 4
[[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]] => 4
[[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]] => 5
[[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]] => 4
[[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]] => 4
[[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]] => 5
[[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]] => 5
[[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]] => 6
[[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]] => 3
[[[],[],[],[[]]],[],[]] => [[],[],[[[]],[],[],[]]] => 3
[[[],[],[[]],[]],[],[]] => [[],[],[[],[[]],[],[]]] => 3
[[[],[],[[],[]]],[],[]] => [[],[],[[[],[]],[],[]]] => 3
[[[],[],[[[]]]],[],[]] => [[],[],[[[[]]],[],[]]] => 3
[[[],[[]],[],[]],[],[]] => [[],[],[[],[],[[]],[]]] => 3
[[[],[[]],[[]]],[],[]] => [[],[],[[[]],[[]],[]]] => 3
[[[],[[],[]],[]],[],[]] => [[],[],[[],[[],[]],[]]] => 3
[[[],[[[]]],[]],[],[]] => [[],[],[[],[[[]]],[]]] => 3
[[[],[[],[],[]]],[],[]] => [[],[],[[[],[],[]],[]]] => 3
[[[],[[],[[]]]],[],[]] => [[],[],[[[[]],[]],[]]] => 3
[[[],[[[]],[]]],[],[]] => [[],[],[[[],[[]]],[]]] => 3
[[[],[[[],[]]]],[],[]] => [[],[],[[[[],[]]],[]]] => 3
[[[],[[[[]]]]],[],[]] => [[],[],[[[[[]]]],[]]] => 3
[[[[]],[],[],[]],[],[]] => [[],[],[[],[],[],[[]]]] => 4
[[[[]],[],[[]]],[],[]] => [[],[],[[[]],[],[[]]]] => 4
[[[[]],[[]],[]],[],[]] => [[],[],[[],[[]],[[]]]] => 4
[[[[]],[[],[]]],[],[]] => [[],[],[[[],[]],[[]]]] => 4
[[[[]],[[[]]]],[],[]] => [[],[],[[[[]]],[[]]]] => 4
[[[[],[]],[],[]],[],[]] => [[],[],[[],[],[[],[]]]] => 4
[[[[[]]],[],[]],[],[]] => [[],[],[[],[],[[[]]]]] => 5
[[[[],[]],[[]]],[],[]] => [[],[],[[[]],[[],[]]]] => 4
[[[[[]]],[[]]],[],[]] => [[],[],[[[]],[[[]]]]] => 5
[[[[],[],[]],[]],[],[]] => [[],[],[[],[[],[],[]]]] => 4
[[[[],[[]]],[]],[],[]] => [[],[],[[],[[[]],[]]]] => 4
[[[[[]],[]],[]],[],[]] => [[],[],[[],[[],[[]]]]] => 5
[[[[[],[]]],[]],[],[]] => [[],[],[[],[[[],[]]]]] => 5
[[[[[[]]]],[]],[],[]] => [[],[],[[],[[[[]]]]]] => 6
[[[[],[],[],[]]],[],[]] => [[],[],[[[],[],[],[]]]] => 4
[[[[],[],[[]]]],[],[]] => [[],[],[[[[]],[],[]]]] => 4
[[[[],[[]],[]]],[],[]] => [[],[],[[[],[[]],[]]]] => 4
[[[[],[[],[]]]],[],[]] => [[],[],[[[[],[]],[]]]] => 4
[[[[],[[[]]]]],[],[]] => [[],[],[[[[[]]],[]]]] => 4
[[[[[]],[],[]]],[],[]] => [[],[],[[[],[],[[]]]]] => 5
[[[[[]],[[]]]],[],[]] => [[],[],[[[[]],[[]]]]] => 5
[[[[[],[]],[]]],[],[]] => [[],[],[[[],[[],[]]]]] => 5
[[[[[[]]],[]]],[],[]] => [[],[],[[[],[[[]]]]]] => 6
[[[[[],[],[]]]],[],[]] => [[],[],[[[[],[],[]]]]] => 5
[[[[[],[[]]]]],[],[]] => [[],[],[[[[[]],[]]]]] => 5
[[[[[[]],[]]]],[],[]] => [[],[],[[[[],[[]]]]]] => 6
[[[[[[],[]]]]],[],[]] => [[],[],[[[[[],[]]]]]] => 6
[[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]] => 7
[[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]] => 4
[[[],[],[],[[]]],[[]]] => [[[]],[[[]],[],[],[]]] => 4
[[[],[],[[]],[]],[[]]] => [[[]],[[],[[]],[],[]]] => 4
[[[],[],[[],[]]],[[]]] => [[[]],[[[],[]],[],[]]] => 4
[[[],[],[[[]]]],[[]]] => [[[]],[[[[]]],[],[]]] => 4
[[[],[[]],[],[]],[[]]] => [[[]],[[],[],[[]],[]]] => 4
[[[],[[]],[[]]],[[]]] => [[[]],[[[]],[[]],[]]] => 4
[[[],[[],[]],[]],[[]]] => [[[]],[[],[[],[]],[]]] => 4
[[[],[[[]]],[]],[[]]] => [[[]],[[],[[[]]],[]]] => 4
[[[],[[],[],[]]],[[]]] => [[[]],[[[],[],[]],[]]] => 4
[[[],[[],[[]]]],[[]]] => [[[]],[[[[]],[]],[]]] => 4
[[[],[[[]],[]]],[[]]] => [[[]],[[[],[[]]],[]]] => 4
[[[],[[[],[]]]],[[]]] => [[[]],[[[[],[]]],[]]] => 4
[[[],[[[[]]]]],[[]]] => [[[]],[[[[[]]]],[]]] => 4
[[[[]],[],[],[]],[[]]] => [[[]],[[],[],[],[[]]]] => 5
[[[[]],[],[[]]],[[]]] => [[[]],[[[]],[],[[]]]] => 5
[[[[]],[[]],[]],[[]]] => [[[]],[[],[[]],[[]]]] => 5
[[[[]],[[],[]]],[[]]] => [[[]],[[[],[]],[[]]]] => 5
[[[[]],[[[]]]],[[]]] => [[[]],[[[[]]],[[]]]] => 5
[[[[],[]],[],[]],[[]]] => [[[]],[[],[],[[],[]]]] => 5
[[[[[]]],[],[]],[[]]] => [[[]],[[],[],[[[]]]]] => 6
[[[[],[]],[[]]],[[]]] => [[[]],[[[]],[[],[]]]] => 5
[[[[[]]],[[]]],[[]]] => [[[]],[[[]],[[[]]]]] => 6
[[[[],[],[]],[]],[[]]] => [[[]],[[],[[],[],[]]]] => 5
[[[[],[[]]],[]],[[]]] => [[[]],[[],[[[]],[]]]] => 5
[[[[[]],[]],[]],[[]]] => [[[]],[[],[[],[[]]]]] => 6
[[[[[],[]]],[]],[[]]] => [[[]],[[],[[[],[]]]]] => 6
[[[[[[]]]],[]],[[]]] => [[[]],[[],[[[[]]]]]] => 7
[[[[],[],[],[]]],[[]]] => [[[]],[[[],[],[],[]]]] => 5
[[[[],[],[[]]]],[[]]] => [[[]],[[[[]],[],[]]]] => 5
[[[[],[[]],[]]],[[]]] => [[[]],[[[],[[]],[]]]] => 5
[[[[],[[],[]]]],[[]]] => [[[]],[[[[],[]],[]]]] => 5
[[[[],[[[]]]]],[[]]] => [[[]],[[[[[]]],[]]]] => 5
[[[[[]],[],[]]],[[]]] => [[[]],[[[],[],[[]]]]] => 6
[[[[[]],[[]]]],[[]]] => [[[]],[[[[]],[[]]]]] => 6
[[[[[],[]],[]]],[[]]] => [[[]],[[[],[[],[]]]]] => 6
[[[[[[]]],[]]],[[]]] => [[[]],[[[],[[[]]]]]] => 7
[[[[[],[],[]]]],[[]]] => [[[]],[[[[],[],[]]]]] => 6
[[[[[],[[]]]]],[[]]] => [[[]],[[[[[]],[]]]]] => 6
[[[[[[]],[]]]],[[]]] => [[[]],[[[[],[[]]]]]] => 7
[[[[[[],[]]]]],[[]]] => [[[]],[[[[[],[]]]]]] => 7
[[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]] => 8
[[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]] => 3
[[[],[],[],[],[[]]],[]] => [[],[[[]],[],[],[],[]]] => 3
[[[],[],[],[[]],[]],[]] => [[],[[],[[]],[],[],[]]] => 3
[[[],[],[],[[],[]]],[]] => [[],[[[],[]],[],[],[]]] => 3
[[[],[],[],[[[]]]],[]] => [[],[[[[]]],[],[],[]]] => 3
[[[],[],[[]],[],[]],[]] => [[],[[],[],[[]],[],[]]] => 3
[[[],[],[[]],[[]]],[]] => [[],[[[]],[[]],[],[]]] => 3
[[[],[],[[],[]],[]],[]] => [[],[[],[[],[]],[],[]]] => 3
[[[],[],[[[]]],[]],[]] => [[],[[],[[[]]],[],[]]] => 3
[[[],[],[[],[],[]]],[]] => [[],[[[],[],[]],[],[]]] => 3
[[[],[],[[],[[]]]],[]] => [[],[[[[]],[]],[],[]]] => 3
[[[],[],[[[]],[]]],[]] => [[],[[[],[[]]],[],[]]] => 3
[[[],[],[[[],[]]]],[]] => [[],[[[[],[]]],[],[]]] => 3
[[[],[],[[[[]]]]],[]] => [[],[[[[[]]]],[],[]]] => 3
[[[],[[]],[],[],[]],[]] => [[],[[],[],[],[[]],[]]] => 3
[[[],[[]],[],[[]]],[]] => [[],[[[]],[],[[]],[]]] => 3
[[[],[[]],[[]],[]],[]] => [[],[[],[[]],[[]],[]]] => 3
[[[],[[]],[[],[]]],[]] => [[],[[[],[]],[[]],[]]] => 3
[[[],[[]],[[[]]]],[]] => [[],[[[[]]],[[]],[]]] => 3
[[[],[[],[]],[],[]],[]] => [[],[[],[],[[],[]],[]]] => 3
[[[],[[[]]],[],[]],[]] => [[],[[],[],[[[]]],[]]] => 3
[[[],[[],[]],[[]]],[]] => [[],[[[]],[[],[]],[]]] => 3
[[[],[[[]]],[[]]],[]] => [[],[[[]],[[[]]],[]]] => 3
[[[],[[],[],[]],[]],[]] => [[],[[],[[],[],[]],[]]] => 3
[[[],[[],[[]]],[]],[]] => [[],[[],[[[]],[]],[]]] => 3
[[[],[[[]],[]],[]],[]] => [[],[[],[[],[[]]],[]]] => 3
[[[],[[[],[]]],[]],[]] => [[],[[],[[[],[]]],[]]] => 3
[[[],[[[[]]]],[]],[]] => [[],[[],[[[[]]]],[]]] => 3
[[[],[[],[],[],[]]],[]] => [[],[[[],[],[],[]],[]]] => 3
[[[],[[],[],[[]]]],[]] => [[],[[[[]],[],[]],[]]] => 3
[[[],[[],[[]],[]]],[]] => [[],[[[],[[]],[]],[]]] => 3
[[[],[[],[[],[]]]],[]] => [[],[[[[],[]],[]],[]]] => 3
[[[],[[],[[[]]]]],[]] => [[],[[[[[]]],[]],[]]] => 3
[[[],[[[]],[],[]]],[]] => [[],[[[],[],[[]]],[]]] => 3
[[[],[[[]],[[]]]],[]] => [[],[[[[]],[[]]],[]]] => 3
[[[],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[]]] => 3
[[[],[[[[]]],[]]],[]] => [[],[[[],[[[]]]],[]]] => 3
[[[],[[[],[],[]]]],[]] => [[],[[[[],[],[]]],[]]] => 3
[[[],[[[],[[]]]]],[]] => [[],[[[[[]],[]]],[]]] => 3
[[[],[[[[]],[]]]],[]] => [[],[[[[],[[]]]],[]]] => 3
[[[],[[[[],[]]]]],[]] => [[],[[[[[],[]]]],[]]] => 3
[[[],[[[[[]]]]]],[]] => [[],[[[[[[]]]]],[]]] => 3
[[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]] => 4
[[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]] => 4
[[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]] => 4
[[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]] => 4
[[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]] => 4
[[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]] => 4
[[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]] => 4
[[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]] => 4
[[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]] => 4
[[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]] => 4
[[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]] => 4
[[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]] => 4
[[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]] => 4
[[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]] => 4
[[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]] => 4
[[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]] => 5
[[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]] => 4
[[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]] => 5
[[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]] => 4
[[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]] => 5
[[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]] => 4
[[[[],[]],[[[]]]],[]] => [[],[[[[]]],[[],[]]]] => 4
[[[[[]]],[[],[]]],[]] => [[],[[[],[]],[[[]]]]] => 5
[[[[[]]],[[[]]]],[]] => [[],[[[[]]],[[[]]]]] => 5
[[[[],[],[]],[],[]],[]] => [[],[[],[],[[],[],[]]]] => 4
[[[[],[[]]],[],[]],[]] => [[],[[],[],[[[]],[]]]] => 4
[[[[[]],[]],[],[]],[]] => [[],[[],[],[[],[[]]]]] => 5
[[[[[],[]]],[],[]],[]] => [[],[[],[],[[[],[]]]]] => 5
[[[[[[]]]],[],[]],[]] => [[],[[],[],[[[[]]]]]] => 6
[[[[],[],[]],[[]]],[]] => [[],[[[]],[[],[],[]]]] => 4
[[[[],[[]]],[[]]],[]] => [[],[[[]],[[[]],[]]]] => 4
[[[[[]],[]],[[]]],[]] => [[],[[[]],[[],[[]]]]] => 5
[[[[[],[]]],[[]]],[]] => [[],[[[]],[[[],[]]]]] => 5
[[[[[[]]]],[[]]],[]] => [[],[[[]],[[[[]]]]]] => 6
[[[[],[],[],[]],[]],[]] => [[],[[],[[],[],[],[]]]] => 4
[[[[],[],[[]]],[]],[]] => [[],[[],[[[]],[],[]]]] => 4
[[[[],[[]],[]],[]],[]] => [[],[[],[[],[[]],[]]]] => 4
[[[[],[[],[]]],[]],[]] => [[],[[],[[[],[]],[]]]] => 4
[[[[],[[[]]]],[]],[]] => [[],[[],[[[[]]],[]]]] => 4
[[[[[]],[],[]],[]],[]] => [[],[[],[[],[],[[]]]]] => 5
[[[[[]],[[]]],[]],[]] => [[],[[],[[[]],[[]]]]] => 5
[[[[[],[]],[]],[]],[]] => [[],[[],[[],[[],[]]]]] => 5
[[[[[[]]],[]],[]],[]] => [[],[[],[[],[[[]]]]]] => 6
[[[[[],[],[]]],[]],[]] => [[],[[],[[[],[],[]]]]] => 5
[[[[[],[[]]]],[]],[]] => [[],[[],[[[[]],[]]]]] => 5
[[[[[[]],[]]],[]],[]] => [[],[[],[[[],[[]]]]]] => 6
[[[[[[],[]]]],[]],[]] => [[],[[],[[[[],[]]]]]] => 6
[[[[[[[]]]]],[]],[]] => [[],[[],[[[[[]]]]]]] => 7
[[[[],[],[],[],[]]],[]] => [[],[[[],[],[],[],[]]]] => 4
[[[[],[],[],[[]]]],[]] => [[],[[[[]],[],[],[]]]] => 4
[[[[],[],[[]],[]]],[]] => [[],[[[],[[]],[],[]]]] => 4
[[[[],[],[[],[]]]],[]] => [[],[[[[],[]],[],[]]]] => 4
[[[[],[],[[[]]]]],[]] => [[],[[[[[]]],[],[]]]] => 4
[[[[],[[]],[],[]]],[]] => [[],[[[],[],[[]],[]]]] => 4
[[[[],[[]],[[]]]],[]] => [[],[[[[]],[[]],[]]]] => 4
[[[[],[[],[]],[]]],[]] => [[],[[[],[[],[]],[]]]] => 4
[[[[],[[[]]],[]]],[]] => [[],[[[],[[[]]],[]]]] => 4
[[[[],[[],[],[]]]],[]] => [[],[[[[],[],[]],[]]]] => 4
[[[[],[[],[[]]]]],[]] => [[],[[[[[]],[]],[]]]] => 4
[[[[],[[[]],[]]]],[]] => [[],[[[[],[[]]],[]]]] => 4
[[[[],[[[],[]]]]],[]] => [[],[[[[[],[]]],[]]]] => 4
[[[[],[[[[]]]]]],[]] => [[],[[[[[[]]]],[]]]] => 4
[[[[[]],[],[],[]]],[]] => [[],[[[],[],[],[[]]]]] => 5
[[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]] => 5
[[[[[]],[[]],[]]],[]] => [[],[[[],[[]],[[]]]]] => 5
[[[[[]],[[],[]]]],[]] => [[],[[[[],[]],[[]]]]] => 5
[[[[[]],[[[]]]]],[]] => [[],[[[[[]]],[[]]]]] => 5
[[[[[],[]],[],[]]],[]] => [[],[[[],[],[[],[]]]]] => 5
[[[[[[]]],[],[]]],[]] => [[],[[[],[],[[[]]]]]] => 6
[[[[[],[]],[[]]]],[]] => [[],[[[[]],[[],[]]]]] => 5
[[[[[[]]],[[]]]],[]] => [[],[[[[]],[[[]]]]]] => 6
[[[[[],[],[]],[]]],[]] => [[],[[[],[[],[],[]]]]] => 5
[[[[[],[[]]],[]]],[]] => [[],[[[],[[[]],[]]]]] => 5
[[[[[[]],[]],[]]],[]] => [[],[[[],[[],[[]]]]]] => 6
[[[[[[],[]]],[]]],[]] => [[],[[[],[[[],[]]]]]] => 6
[[[[[[[]]]],[]]],[]] => [[],[[[],[[[[]]]]]]] => 7
[[[[[],[],[],[]]]],[]] => [[],[[[[],[],[],[]]]]] => 5
[[[[[],[],[[]]]]],[]] => [[],[[[[[]],[],[]]]]] => 5
[[[[[],[[]],[]]]],[]] => [[],[[[[],[[]],[]]]]] => 5
[[[[[],[[],[]]]]],[]] => [[],[[[[[],[]],[]]]]] => 5
[[[[[],[[[]]]]]],[]] => [[],[[[[[[]]],[]]]]] => 5
[[[[[[]],[],[]]]],[]] => [[],[[[[],[],[[]]]]]] => 6
[[[[[[]],[[]]]]],[]] => [[],[[[[[]],[[]]]]]] => 6
[[[[[[],[]],[]]]],[]] => [[],[[[[],[[],[]]]]]] => 6
[[[[[[[]]],[]]]],[]] => [[],[[[[],[[[]]]]]]] => 7
[[[[[[],[],[]]]]],[]] => [[],[[[[[],[],[]]]]]] => 6
[[[[[[],[[]]]]]],[]] => [[],[[[[[[]],[]]]]]] => 6
[[[[[[[]],[]]]]],[]] => [[],[[[[[],[[]]]]]]] => 7
[[[[[[[],[]]]]]],[]] => [[],[[[[[[],[]]]]]]] => 7
[[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]] => 8
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,4 2,5,7 5,12,14,11 14,33,39,30,16 42,98,117,95,55,22
$F_{2} = q$
$F_{3} = 2\ q^{2}$
$F_{4} = q^{2} + 4\ q^{3}$
$F_{5} = 2\ q^{2} + 5\ q^{3} + 7\ q^{4}$
$F_{6} = 5\ q^{2} + 12\ q^{3} + 14\ q^{4} + 11\ q^{5}$
$F_{7} = 14\ q^{2} + 33\ q^{3} + 39\ q^{4} + 30\ q^{5} + 16\ q^{6}$
$F_{8} = 42\ q^{2} + 98\ q^{3} + 117\ q^{4} + 95\ q^{5} + 55\ q^{6} + 22\ q^{7}$
Description
The length of the boundary minus the length of the trunk of an ordered tree.
This is the size of the set of edges which are either on the left most path or on the right most path from the root.
This is the size of the set of edges which are either on the left most path or on the right most path from the root.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
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