Identifier
-
Mp00048:
Ordered trees
—left-right symmetry⟶
Ordered trees
St000679: Ordered trees ⟶ ℤ
Values
[[]] => [[]] => 1
[[],[]] => [[],[]] => 1
[[[]]] => [[[]]] => 1
[[],[],[]] => [[],[],[]] => 1
[[],[[]]] => [[[]],[]] => 1
[[[]],[]] => [[],[[]]] => 1
[[[],[]]] => [[[],[]]] => 2
[[[[]]]] => [[[[]]]] => 1
[[],[],[],[]] => [[],[],[],[]] => 1
[[],[],[[]]] => [[[]],[],[]] => 1
[[],[[]],[]] => [[],[[]],[]] => 1
[[],[[],[]]] => [[[],[]],[]] => 2
[[],[[[]]]] => [[[[]]],[]] => 1
[[[]],[],[]] => [[],[],[[]]] => 1
[[[]],[[]]] => [[[]],[[]]] => 1
[[[],[]],[]] => [[],[[],[]]] => 2
[[[[]]],[]] => [[],[[[]]]] => 1
[[[],[],[]]] => [[[],[],[]]] => 2
[[[],[[]]]] => [[[[]],[]]] => 2
[[[[]],[]]] => [[[],[[]]]] => 2
[[[[],[]]]] => [[[[],[]]]] => 2
[[[[[]]]]] => [[[[[]]]]] => 1
[[],[],[],[],[]] => [[],[],[],[],[]] => 1
[[],[],[],[[]]] => [[[]],[],[],[]] => 1
[[],[],[[]],[]] => [[],[[]],[],[]] => 1
[[],[],[[],[]]] => [[[],[]],[],[]] => 2
[[],[],[[[]]]] => [[[[]]],[],[]] => 1
[[],[[]],[],[]] => [[],[],[[]],[]] => 1
[[],[[]],[[]]] => [[[]],[[]],[]] => 1
[[],[[],[]],[]] => [[],[[],[]],[]] => 2
[[],[[[]]],[]] => [[],[[[]]],[]] => 1
[[],[[],[],[]]] => [[[],[],[]],[]] => 2
[[],[[],[[]]]] => [[[[]],[]],[]] => 2
[[],[[[]],[]]] => [[[],[[]]],[]] => 2
[[],[[[],[]]]] => [[[[],[]]],[]] => 2
[[],[[[[]]]]] => [[[[[]]]],[]] => 1
[[[]],[],[],[]] => [[],[],[],[[]]] => 1
[[[]],[],[[]]] => [[[]],[],[[]]] => 1
[[[]],[[]],[]] => [[],[[]],[[]]] => 1
[[[]],[[],[]]] => [[[],[]],[[]]] => 2
[[[]],[[[]]]] => [[[[]]],[[]]] => 1
[[[],[]],[],[]] => [[],[],[[],[]]] => 2
[[[[]]],[],[]] => [[],[],[[[]]]] => 1
[[[],[]],[[]]] => [[[]],[[],[]]] => 2
[[[[]]],[[]]] => [[[]],[[[]]]] => 1
[[[],[],[]],[]] => [[],[[],[],[]]] => 2
[[[],[[]]],[]] => [[],[[[]],[]]] => 2
[[[[]],[]],[]] => [[],[[],[[]]]] => 2
[[[[],[]]],[]] => [[],[[[],[]]]] => 2
[[[[[]]]],[]] => [[],[[[[]]]]] => 1
[[[],[],[],[]]] => [[[],[],[],[]]] => 2
[[[],[],[[]]]] => [[[[]],[],[]]] => 2
[[[],[[]],[]]] => [[[],[[]],[]]] => 2
[[[],[[],[]]]] => [[[[],[]],[]]] => 2
[[[],[[[]]]]] => [[[[[]]],[]]] => 2
[[[[]],[],[]]] => [[[],[],[[]]]] => 2
[[[[]],[[]]]] => [[[[]],[[]]]] => 2
[[[[],[]],[]]] => [[[],[[],[]]]] => 2
[[[[[]]],[]]] => [[[],[[[]]]]] => 2
[[[[],[],[]]]] => [[[[],[],[]]]] => 2
[[[[],[[]]]]] => [[[[[]],[]]]] => 2
[[[[[]],[]]]] => [[[[],[[]]]]] => 2
[[[[[],[]]]]] => [[[[[],[]]]]] => 2
[[[[[[]]]]]] => [[[[[[]]]]]] => 1
[[],[],[],[],[],[]] => [[],[],[],[],[],[]] => 1
[[],[],[],[],[[]]] => [[[]],[],[],[],[]] => 1
[[],[],[],[[]],[]] => [[],[[]],[],[],[]] => 1
[[],[],[],[[],[]]] => [[[],[]],[],[],[]] => 2
[[],[],[],[[[]]]] => [[[[]]],[],[],[]] => 1
[[],[],[[]],[],[]] => [[],[],[[]],[],[]] => 1
[[],[],[[]],[[]]] => [[[]],[[]],[],[]] => 1
[[],[],[[],[]],[]] => [[],[[],[]],[],[]] => 2
[[],[],[[[]]],[]] => [[],[[[]]],[],[]] => 1
[[],[],[[],[],[]]] => [[[],[],[]],[],[]] => 2
[[],[],[[],[[]]]] => [[[[]],[]],[],[]] => 2
[[],[],[[[]],[]]] => [[[],[[]]],[],[]] => 2
[[],[],[[[],[]]]] => [[[[],[]]],[],[]] => 2
[[],[],[[[[]]]]] => [[[[[]]]],[],[]] => 1
[[],[[]],[],[],[]] => [[],[],[],[[]],[]] => 1
[[],[[]],[],[[]]] => [[[]],[],[[]],[]] => 1
[[],[[]],[[]],[]] => [[],[[]],[[]],[]] => 1
[[],[[]],[[],[]]] => [[[],[]],[[]],[]] => 2
[[],[[]],[[[]]]] => [[[[]]],[[]],[]] => 1
[[],[[],[]],[],[]] => [[],[],[[],[]],[]] => 2
[[],[[[]]],[],[]] => [[],[],[[[]]],[]] => 1
[[],[[],[]],[[]]] => [[[]],[[],[]],[]] => 2
[[],[[[]]],[[]]] => [[[]],[[[]]],[]] => 1
[[],[[],[],[]],[]] => [[],[[],[],[]],[]] => 2
[[],[[],[[]]],[]] => [[],[[[]],[]],[]] => 2
[[],[[[]],[]],[]] => [[],[[],[[]]],[]] => 2
[[],[[[],[]]],[]] => [[],[[[],[]]],[]] => 2
[[],[[[[]]]],[]] => [[],[[[[]]]],[]] => 1
[[],[[],[],[],[]]] => [[[],[],[],[]],[]] => 2
[[],[[],[],[[]]]] => [[[[]],[],[]],[]] => 2
[[],[[],[[]],[]]] => [[[],[[]],[]],[]] => 2
[[],[[],[[],[]]]] => [[[[],[]],[]],[]] => 2
[[],[[],[[[]]]]] => [[[[[]]],[]],[]] => 2
[[],[[[]],[],[]]] => [[[],[],[[]]],[]] => 2
[[],[[[]],[[]]]] => [[[[]],[[]]],[]] => 2
[[],[[[],[]],[]]] => [[[],[[],[]]],[]] => 2
[[],[[[[]]],[]]] => [[[],[[[]]]],[]] => 2
>>> Load all 1200 entries. <<<[[],[[[],[],[]]]] => [[[[],[],[]]],[]] => 2
[[],[[[],[[]]]]] => [[[[[]],[]]],[]] => 2
[[],[[[[]],[]]]] => [[[[],[[]]]],[]] => 2
[[],[[[[],[]]]]] => [[[[[],[]]]],[]] => 2
[[],[[[[[]]]]]] => [[[[[[]]]]],[]] => 1
[[[]],[],[],[],[]] => [[],[],[],[],[[]]] => 1
[[[]],[],[],[[]]] => [[[]],[],[],[[]]] => 1
[[[]],[],[[]],[]] => [[],[[]],[],[[]]] => 1
[[[]],[],[[],[]]] => [[[],[]],[],[[]]] => 2
[[[]],[],[[[]]]] => [[[[]]],[],[[]]] => 1
[[[]],[[]],[],[]] => [[],[],[[]],[[]]] => 1
[[[]],[[]],[[]]] => [[[]],[[]],[[]]] => 1
[[[]],[[],[]],[]] => [[],[[],[]],[[]]] => 2
[[[]],[[[]]],[]] => [[],[[[]]],[[]]] => 1
[[[]],[[],[],[]]] => [[[],[],[]],[[]]] => 2
[[[]],[[],[[]]]] => [[[[]],[]],[[]]] => 2
[[[]],[[[]],[]]] => [[[],[[]]],[[]]] => 2
[[[]],[[[],[]]]] => [[[[],[]]],[[]]] => 2
[[[]],[[[[]]]]] => [[[[[]]]],[[]]] => 1
[[[],[]],[],[],[]] => [[],[],[],[[],[]]] => 2
[[[[]]],[],[],[]] => [[],[],[],[[[]]]] => 1
[[[],[]],[],[[]]] => [[[]],[],[[],[]]] => 2
[[[[]]],[],[[]]] => [[[]],[],[[[]]]] => 1
[[[],[]],[[]],[]] => [[],[[]],[[],[]]] => 2
[[[[]]],[[]],[]] => [[],[[]],[[[]]]] => 1
[[[],[]],[[],[]]] => [[[],[]],[[],[]]] => 2
[[[],[]],[[[]]]] => [[[[]]],[[],[]]] => 2
[[[[]]],[[],[]]] => [[[],[]],[[[]]]] => 2
[[[[]]],[[[]]]] => [[[[]]],[[[]]]] => 1
[[[],[],[]],[],[]] => [[],[],[[],[],[]]] => 2
[[[],[[]]],[],[]] => [[],[],[[[]],[]]] => 2
[[[[]],[]],[],[]] => [[],[],[[],[[]]]] => 2
[[[[],[]]],[],[]] => [[],[],[[[],[]]]] => 2
[[[[[]]]],[],[]] => [[],[],[[[[]]]]] => 1
[[[],[],[]],[[]]] => [[[]],[[],[],[]]] => 2
[[[],[[]]],[[]]] => [[[]],[[[]],[]]] => 2
[[[[]],[]],[[]]] => [[[]],[[],[[]]]] => 2
[[[[],[]]],[[]]] => [[[]],[[[],[]]]] => 2
[[[[[]]]],[[]]] => [[[]],[[[[]]]]] => 1
[[[],[],[],[]],[]] => [[],[[],[],[],[]]] => 2
[[[],[],[[]]],[]] => [[],[[[]],[],[]]] => 2
[[[],[[]],[]],[]] => [[],[[],[[]],[]]] => 2
[[[],[[],[]]],[]] => [[],[[[],[]],[]]] => 2
[[[],[[[]]]],[]] => [[],[[[[]]],[]]] => 2
[[[[]],[],[]],[]] => [[],[[],[],[[]]]] => 2
[[[[]],[[]]],[]] => [[],[[[]],[[]]]] => 2
[[[[],[]],[]],[]] => [[],[[],[[],[]]]] => 2
[[[[[]]],[]],[]] => [[],[[],[[[]]]]] => 2
[[[[],[],[]]],[]] => [[],[[[],[],[]]]] => 2
[[[[],[[]]]],[]] => [[],[[[[]],[]]]] => 2
[[[[[]],[]]],[]] => [[],[[[],[[]]]]] => 2
[[[[[],[]]]],[]] => [[],[[[[],[]]]]] => 2
[[[[[[]]]]],[]] => [[],[[[[[]]]]]] => 1
[[[],[],[],[],[]]] => [[[],[],[],[],[]]] => 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
[[[[[[[]]]]]]] => [[[[[[[]]]]]]] => 1
[[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[]] => 1
[[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[]] => 1
[[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[]] => 2
[[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[]] => 1
[[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[]] => 1
[[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[]] => 1
[[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[]] => 2
[[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[]] => 1
[[],[],[],[[],[],[]]] => [[[],[],[]],[],[],[]] => 2
[[],[],[],[[],[[]]]] => [[[[]],[]],[],[],[]] => 2
[[],[],[],[[[]],[]]] => [[[],[[]]],[],[],[]] => 2
[[],[],[],[[[],[]]]] => [[[[],[]]],[],[],[]] => 2
[[],[],[],[[[[]]]]] => [[[[[]]]],[],[],[]] => 1
[[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[]] => 1
[[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[]] => 1
[[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[]] => 1
[[],[],[[]],[[],[]]] => [[[],[]],[[]],[],[]] => 2
[[],[],[[]],[[[]]]] => [[[[]]],[[]],[],[]] => 1
[[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[]] => 2
[[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[]] => 1
[[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[]] => 2
[[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[]] => 1
[[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[]] => 2
[[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[]] => 2
[[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[]] => 2
[[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[]] => 2
[[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[]] => 1
[[],[],[[],[],[],[]]] => [[[],[],[],[]],[],[]] => 2
[[],[],[[],[],[[]]]] => [[[[]],[],[]],[],[]] => 2
[[],[],[[],[[]],[]]] => [[[],[[]],[]],[],[]] => 2
[[],[],[[],[[],[]]]] => [[[[],[]],[]],[],[]] => 2
[[],[],[[],[[[]]]]] => [[[[[]]],[]],[],[]] => 2
[[],[],[[[]],[],[]]] => [[[],[],[[]]],[],[]] => 2
[[],[],[[[]],[[]]]] => [[[[]],[[]]],[],[]] => 2
[[],[],[[[],[]],[]]] => [[[],[[],[]]],[],[]] => 2
[[],[],[[[[]]],[]]] => [[[],[[[]]]],[],[]] => 2
[[],[],[[[],[],[]]]] => [[[[],[],[]]],[],[]] => 2
[[],[],[[[],[[]]]]] => [[[[[]],[]]],[],[]] => 2
[[],[],[[[[]],[]]]] => [[[[],[[]]]],[],[]] => 2
[[],[],[[[[],[]]]]] => [[[[[],[]]]],[],[]] => 2
[[],[],[[[[[]]]]]] => [[[[[[]]]]],[],[]] => 1
[[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[]] => 1
[[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[]] => 1
[[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[]] => 1
[[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[]] => 2
[[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[]] => 1
[[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[]] => 1
[[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[]] => 1
[[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[]] => 2
[[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[]] => 1
[[],[[]],[[],[],[]]] => [[[],[],[]],[[]],[]] => 2
[[],[[]],[[],[[]]]] => [[[[]],[]],[[]],[]] => 2
[[],[[]],[[[]],[]]] => [[[],[[]]],[[]],[]] => 2
[[],[[]],[[[],[]]]] => [[[[],[]]],[[]],[]] => 2
[[],[[]],[[[[]]]]] => [[[[[]]]],[[]],[]] => 1
[[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[]] => 2
[[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[]] => 1
[[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[]] => 2
[[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[]] => 1
[[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[]] => 2
[[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[]] => 1
[[],[[],[]],[[],[]]] => [[[],[]],[[],[]],[]] => 2
[[],[[],[]],[[[]]]] => [[[[]]],[[],[]],[]] => 2
[[],[[[]]],[[],[]]] => [[[],[]],[[[]]],[]] => 2
[[],[[[]]],[[[]]]] => [[[[]]],[[[]]],[]] => 1
[[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[]] => 2
[[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[]] => 2
[[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[]] => 2
[[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[]] => 2
[[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[]] => 1
[[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[]] => 2
[[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[]] => 2
[[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[]] => 2
[[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[]] => 2
[[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[]] => 1
[[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[]] => 2
[[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[]] => 2
[[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[]] => 2
[[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[]] => 2
[[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[]] => 2
[[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[]] => 2
[[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[]] => 2
[[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[]] => 2
[[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[]] => 2
[[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[]] => 2
[[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[]] => 2
[[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[]] => 2
[[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[]] => 2
[[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[]] => 1
[[],[[],[],[],[],[]]] => [[[],[],[],[],[]],[]] => 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
[[],[[[[[[]]]]]]] => [[[[[[[]]]]]],[]] => 1
[[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]]] => 1
[[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]]] => 1
[[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]]] => 1
[[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]]] => 2
[[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]]] => 1
[[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]]] => 1
[[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]]] => 1
[[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]]] => 2
[[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]]] => 1
[[[]],[],[[],[],[]]] => [[[],[],[]],[],[[]]] => 2
[[[]],[],[[],[[]]]] => [[[[]],[]],[],[[]]] => 2
[[[]],[],[[[]],[]]] => [[[],[[]]],[],[[]]] => 2
[[[]],[],[[[],[]]]] => [[[[],[]]],[],[[]]] => 2
[[[]],[],[[[[]]]]] => [[[[[]]]],[],[[]]] => 1
[[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]]] => 1
[[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]]] => 1
[[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]]] => 1
[[[]],[[]],[[],[]]] => [[[],[]],[[]],[[]]] => 2
[[[]],[[]],[[[]]]] => [[[[]]],[[]],[[]]] => 1
[[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]]] => 2
[[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]]] => 1
[[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]]] => 2
[[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]]] => 1
[[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]]] => 2
[[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]]] => 2
[[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]]] => 2
[[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]]] => 2
[[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]]] => 1
[[[]],[[],[],[],[]]] => [[[],[],[],[]],[[]]] => 2
[[[]],[[],[],[[]]]] => [[[[]],[],[]],[[]]] => 2
[[[]],[[],[[]],[]]] => [[[],[[]],[]],[[]]] => 2
[[[]],[[],[[],[]]]] => [[[[],[]],[]],[[]]] => 2
[[[]],[[],[[[]]]]] => [[[[[]]],[]],[[]]] => 2
[[[]],[[[]],[],[]]] => [[[],[],[[]]],[[]]] => 2
[[[]],[[[]],[[]]]] => [[[[]],[[]]],[[]]] => 2
[[[]],[[[],[]],[]]] => [[[],[[],[]]],[[]]] => 2
[[[]],[[[[]]],[]]] => [[[],[[[]]]],[[]]] => 2
[[[]],[[[],[],[]]]] => [[[[],[],[]]],[[]]] => 2
[[[]],[[[],[[]]]]] => [[[[[]],[]]],[[]]] => 2
[[[]],[[[[]],[]]]] => [[[[],[[]]]],[[]]] => 2
[[[]],[[[[],[]]]]] => [[[[[],[]]]],[[]]] => 2
[[[]],[[[[[]]]]]] => [[[[[[]]]]],[[]]] => 1
[[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]]] => 2
[[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]]] => 1
[[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]]] => 2
[[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]]] => 1
[[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]]] => 2
[[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]]] => 1
[[[],[]],[],[[],[]]] => [[[],[]],[],[[],[]]] => 2
[[[],[]],[],[[[]]]] => [[[[]]],[],[[],[]]] => 2
[[[[]]],[],[[],[]]] => [[[],[]],[],[[[]]]] => 2
[[[[]]],[],[[[]]]] => [[[[]]],[],[[[]]]] => 1
[[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]]] => 2
[[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]]] => 1
[[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]]] => 2
[[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]]] => 1
[[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]]] => 2
[[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]]] => 2
[[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]]] => 2
[[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]]] => 1
[[[],[]],[[],[],[]]] => [[[],[],[]],[[],[]]] => 2
[[[],[]],[[],[[]]]] => [[[[]],[]],[[],[]]] => 2
[[[],[]],[[[]],[]]] => [[[],[[]]],[[],[]]] => 2
[[[],[]],[[[],[]]]] => [[[[],[]]],[[],[]]] => 2
[[[],[]],[[[[]]]]] => [[[[[]]]],[[],[]]] => 2
[[[[]]],[[],[],[]]] => [[[],[],[]],[[[]]]] => 2
[[[[]]],[[],[[]]]] => [[[[]],[]],[[[]]]] => 2
[[[[]]],[[[]],[]]] => [[[],[[]]],[[[]]]] => 2
[[[[]]],[[[],[]]]] => [[[[],[]]],[[[]]]] => 2
[[[[]]],[[[[]]]]] => [[[[[]]]],[[[]]]] => 1
[[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]]] => 2
[[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]]] => 2
[[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]]] => 2
[[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]]] => 2
[[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]]] => 1
[[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]]] => 2
[[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]]] => 2
[[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]]] => 2
[[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]]] => 2
[[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]]] => 1
[[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]]] => 2
[[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]]] => 2
[[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]]] => 2
[[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]]] => 2
[[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]]] => 1
[[[],[],[]],[[],[]]] => [[[],[]],[[],[],[]]] => 2
[[[],[],[]],[[[]]]] => [[[[]]],[[],[],[]]] => 2
[[[],[[]]],[[],[]]] => [[[],[]],[[[]],[]]] => 2
[[[],[[]]],[[[]]]] => [[[[]]],[[[]],[]]] => 2
[[[[]],[]],[[],[]]] => [[[],[]],[[],[[]]]] => 2
[[[[]],[]],[[[]]]] => [[[[]]],[[],[[]]]] => 2
[[[[],[]]],[[],[]]] => [[[],[]],[[[],[]]]] => 2
[[[[],[]]],[[[]]]] => [[[[]]],[[[],[]]]] => 2
[[[[[]]]],[[],[]]] => [[[],[]],[[[[]]]]] => 2
[[[[[]]]],[[[]]]] => [[[[]]],[[[[]]]]] => 1
[[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]]] => 2
[[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]]] => 2
[[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]]] => 2
[[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]]] => 2
[[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]]] => 2
[[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]]] => 2
[[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]]] => 2
[[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]]] => 2
[[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]]] => 2
[[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]]] => 2
[[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]]] => 2
[[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]]] => 2
[[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]]] => 2
[[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]]] => 1
[[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]]] => 2
[[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]]] => 2
[[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]]] => 2
[[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]]] => 2
[[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]]] => 2
[[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]]] => 2
[[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]]] => 2
[[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]]] => 2
[[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]]] => 2
[[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]]] => 2
[[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]]] => 2
[[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]]] => 2
[[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]]] => 2
[[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]]] => 1
[[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]]] => 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
[[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]]] => 1
[[[],[],[],[],[],[]]] => [[[],[],[],[],[],[]]] => 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
[[[[]],[],[],[],[]]] => [[[],[],[],[],[[]]]] => 2
[[[[]],[],[],[[]]]] => [[[[]],[],[],[[]]]] => 2
[[[[]],[],[[]],[]]] => [[[],[[]],[],[[]]]] => 2
[[[[]],[],[[],[]]]] => [[[[],[]],[],[[]]]] => 2
[[[[]],[],[[[]]]]] => [[[[[]]],[],[[]]]] => 2
[[[[]],[[]],[],[]]] => [[[],[],[[]],[[]]]] => 2
[[[[]],[[]],[[]]]] => [[[[]],[[]],[[]]]] => 2
[[[[]],[[],[]],[]]] => [[[],[[],[]],[[]]]] => 2
[[[[]],[[[]]],[]]] => [[[],[[[]]],[[]]]] => 2
[[[[]],[[],[],[]]]] => [[[[],[],[]],[[]]]] => 2
[[[[]],[[],[[]]]]] => [[[[[]],[]],[[]]]] => 2
[[[[]],[[[]],[]]]] => [[[[],[[]]],[[]]]] => 2
[[[[]],[[[],[]]]]] => [[[[[],[]]],[[]]]] => 2
[[[[]],[[[[]]]]]] => [[[[[[]]]],[[]]]] => 2
[[[[],[]],[],[],[]]] => [[[],[],[],[[],[]]]] => 2
[[[[[]]],[],[],[]]] => [[[],[],[],[[[]]]]] => 2
[[[[],[]],[],[[]]]] => [[[[]],[],[[],[]]]] => 2
[[[[[]]],[],[[]]]] => [[[[]],[],[[[]]]]] => 2
[[[[],[]],[[]],[]]] => [[[],[[]],[[],[]]]] => 2
[[[[[]]],[[]],[]]] => [[[],[[]],[[[]]]]] => 2
[[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]]] => 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
[[[[[]],[],[[]]]]] => [[[[[]],[],[[]]]]] => 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
[[[[[[[[]]]]]]]] => [[[[[[[[]]]]]]]] => 1
[[],[],[],[],[],[],[],[]] => [[],[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[],[[]]] => [[[]],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[[]],[]] => [[],[[]],[],[],[],[],[]] => 1
[[],[],[],[],[],[[],[]]] => [[[],[]],[],[],[],[],[]] => 2
[[],[],[],[],[],[[[]]]] => [[[[]]],[],[],[],[],[]] => 1
[[],[],[],[],[[]],[],[]] => [[],[],[[]],[],[],[],[]] => 1
[[],[],[],[],[[]],[[]]] => [[[]],[[]],[],[],[],[]] => 1
[[],[],[],[],[[],[]],[]] => [[],[[],[]],[],[],[],[]] => 2
[[],[],[],[],[[[]]],[]] => [[],[[[]]],[],[],[],[]] => 1
[[],[],[],[[]],[],[],[]] => [[],[],[],[[]],[],[],[]] => 1
[[],[],[],[[]],[],[[]]] => [[[]],[],[[]],[],[],[]] => 1
[[],[],[],[[]],[[]],[]] => [[],[[]],[[]],[],[],[]] => 1
[[],[],[],[[],[]],[],[]] => [[],[],[[],[]],[],[],[]] => 2
[[],[],[],[[[]]],[],[]] => [[],[],[[[]]],[],[],[]] => 1
[[],[],[],[[],[]],[[]]] => [[[]],[[],[]],[],[],[]] => 2
[[],[],[],[[[]]],[[]]] => [[[]],[[[]]],[],[],[]] => 1
[[],[],[],[[],[],[]],[]] => [[],[[],[],[]],[],[],[]] => 2
[[],[],[],[[],[[]]],[]] => [[],[[[]],[]],[],[],[]] => 2
[[],[],[],[[[]],[]],[]] => [[],[[],[[]]],[],[],[]] => 2
[[],[],[],[[[],[]]],[]] => [[],[[[],[]]],[],[],[]] => 2
[[],[],[],[[[[]]]],[]] => [[],[[[[]]]],[],[],[]] => 1
[[],[],[[]],[],[],[],[]] => [[],[],[],[],[[]],[],[]] => 1
[[],[],[[]],[],[],[[]]] => [[[]],[],[],[[]],[],[]] => 1
[[],[],[[]],[],[[]],[]] => [[],[[]],[],[[]],[],[]] => 1
[[],[],[[]],[],[[],[]]] => [[[],[]],[],[[]],[],[]] => 2
[[],[],[[]],[],[[[]]]] => [[[[]]],[],[[]],[],[]] => 1
[[],[],[[]],[[]],[],[]] => [[],[],[[]],[[]],[],[]] => 1
[[],[],[[]],[[]],[[]]] => [[[]],[[]],[[]],[],[]] => 1
[[],[],[[]],[[],[]],[]] => [[],[[],[]],[[]],[],[]] => 2
[[],[],[[]],[[[]]],[]] => [[],[[[]]],[[]],[],[]] => 1
[[],[],[[],[]],[],[],[]] => [[],[],[],[[],[]],[],[]] => 2
[[],[],[[[]]],[],[],[]] => [[],[],[],[[[]]],[],[]] => 1
[[],[],[[],[]],[],[[]]] => [[[]],[],[[],[]],[],[]] => 2
[[],[],[[[]]],[],[[]]] => [[[]],[],[[[]]],[],[]] => 1
[[],[],[[],[]],[[]],[]] => [[],[[]],[[],[]],[],[]] => 2
[[],[],[[[]]],[[]],[]] => [[],[[]],[[[]]],[],[]] => 1
[[],[],[[],[],[]],[],[]] => [[],[],[[],[],[]],[],[]] => 2
[[],[],[[],[[]]],[],[]] => [[],[],[[[]],[]],[],[]] => 2
[[],[],[[[]],[]],[],[]] => [[],[],[[],[[]]],[],[]] => 2
[[],[],[[[],[]]],[],[]] => [[],[],[[[],[]]],[],[]] => 2
[[],[],[[[[]]]],[],[]] => [[],[],[[[[]]]],[],[]] => 1
[[],[],[[],[],[]],[[]]] => [[[]],[[],[],[]],[],[]] => 2
[[],[],[[],[[]]],[[]]] => [[[]],[[[]],[]],[],[]] => 2
[[],[],[[[]],[]],[[]]] => [[[]],[[],[[]]],[],[]] => 2
[[],[],[[[],[]]],[[]]] => [[[]],[[[],[]]],[],[]] => 2
[[],[],[[[[]]]],[[]]] => [[[]],[[[[]]]],[],[]] => 1
[[],[],[[],[],[],[]],[]] => [[],[[],[],[],[]],[],[]] => 2
[[],[],[[],[],[[]]],[]] => [[],[[[]],[],[]],[],[]] => 2
[[],[],[[],[[]],[]],[]] => [[],[[],[[]],[]],[],[]] => 2
[[],[],[[],[[],[]]],[]] => [[],[[[],[]],[]],[],[]] => 2
[[],[],[[],[[[]]]],[]] => [[],[[[[]]],[]],[],[]] => 2
[[],[],[[[]],[],[]],[]] => [[],[[],[],[[]]],[],[]] => 2
[[],[],[[[]],[[]]],[]] => [[],[[[]],[[]]],[],[]] => 2
[[],[],[[[],[]],[]],[]] => [[],[[],[[],[]]],[],[]] => 2
[[],[],[[[[]]],[]],[]] => [[],[[],[[[]]]],[],[]] => 2
[[],[],[[[],[],[]]],[]] => [[],[[[],[],[]]],[],[]] => 2
[[],[],[[[],[[]]]],[]] => [[],[[[[]],[]]],[],[]] => 2
[[],[],[[[[]],[]]],[]] => [[],[[[],[[]]]],[],[]] => 2
[[],[],[[[[],[]]]],[]] => [[],[[[[],[]]]],[],[]] => 2
[[],[],[[[[[]]]]],[]] => [[],[[[[[]]]]],[],[]] => 1
[[],[[]],[],[],[],[],[]] => [[],[],[],[],[],[[]],[]] => 1
[[],[[]],[],[],[],[[]]] => [[[]],[],[],[],[[]],[]] => 1
[[],[[]],[],[],[[]],[]] => [[],[[]],[],[],[[]],[]] => 1
[[],[[]],[],[],[[],[]]] => [[[],[]],[],[],[[]],[]] => 2
[[],[[]],[],[],[[[]]]] => [[[[]]],[],[],[[]],[]] => 1
[[],[[]],[],[[]],[],[]] => [[],[],[[]],[],[[]],[]] => 1
[[],[[]],[],[[]],[[]]] => [[[]],[[]],[],[[]],[]] => 1
[[],[[]],[],[[],[]],[]] => [[],[[],[]],[],[[]],[]] => 2
[[],[[]],[],[[[]]],[]] => [[],[[[]]],[],[[]],[]] => 1
[[],[[]],[[]],[],[],[]] => [[],[],[],[[]],[[]],[]] => 1
[[],[[]],[[]],[],[[]]] => [[[]],[],[[]],[[]],[]] => 1
[[],[[]],[[]],[[]],[]] => [[],[[]],[[]],[[]],[]] => 1
[[],[[]],[[],[]],[],[]] => [[],[],[[],[]],[[]],[]] => 2
[[],[[]],[[[]]],[],[]] => [[],[],[[[]]],[[]],[]] => 1
[[],[[]],[[],[]],[[]]] => [[[]],[[],[]],[[]],[]] => 2
[[],[[]],[[[]]],[[]]] => [[[]],[[[]]],[[]],[]] => 1
[[],[[]],[[],[],[]],[]] => [[],[[],[],[]],[[]],[]] => 2
[[],[[]],[[],[[]]],[]] => [[],[[[]],[]],[[]],[]] => 2
[[],[[]],[[[]],[]],[]] => [[],[[],[[]]],[[]],[]] => 2
[[],[[]],[[[],[]]],[]] => [[],[[[],[]]],[[]],[]] => 2
[[],[[]],[[[[]]]],[]] => [[],[[[[]]]],[[]],[]] => 1
[[],[[],[]],[],[],[],[]] => [[],[],[],[],[[],[]],[]] => 2
[[],[[[]]],[],[],[],[]] => [[],[],[],[],[[[]]],[]] => 1
[[],[[],[]],[],[],[[]]] => [[[]],[],[],[[],[]],[]] => 2
[[],[[[]]],[],[],[[]]] => [[[]],[],[],[[[]]],[]] => 1
[[],[[],[]],[],[[]],[]] => [[],[[]],[],[[],[]],[]] => 2
[[],[[[]]],[],[[]],[]] => [[],[[]],[],[[[]]],[]] => 1
[[],[[],[]],[[]],[],[]] => [[],[],[[]],[[],[]],[]] => 2
[[],[[[]]],[[]],[],[]] => [[],[],[[]],[[[]]],[]] => 1
[[],[[],[]],[[]],[[]]] => [[[]],[[]],[[],[]],[]] => 2
[[],[[[]]],[[]],[[]]] => [[[]],[[]],[[[]]],[]] => 1
[[],[[],[]],[[],[]],[]] => [[],[[],[]],[[],[]],[]] => 2
[[],[[],[]],[[[]]],[]] => [[],[[[]]],[[],[]],[]] => 2
[[],[[[]]],[[],[]],[]] => [[],[[],[]],[[[]]],[]] => 2
[[],[[[]]],[[[]]],[]] => [[],[[[]]],[[[]]],[]] => 1
[[],[[],[],[]],[],[],[]] => [[],[],[],[[],[],[]],[]] => 2
[[],[[],[[]]],[],[],[]] => [[],[],[],[[[]],[]],[]] => 2
[[],[[[]],[]],[],[],[]] => [[],[],[],[[],[[]]],[]] => 2
[[],[[[],[]]],[],[],[]] => [[],[],[],[[[],[]]],[]] => 2
[[],[[[[]]]],[],[],[]] => [[],[],[],[[[[]]]],[]] => 1
[[],[[],[],[]],[],[[]]] => [[[]],[],[[],[],[]],[]] => 2
[[],[[],[[]]],[],[[]]] => [[[]],[],[[[]],[]],[]] => 2
[[],[[[]],[]],[],[[]]] => [[[]],[],[[],[[]]],[]] => 2
[[],[[[],[]]],[],[[]]] => [[[]],[],[[[],[]]],[]] => 2
[[],[[[[]]]],[],[[]]] => [[[]],[],[[[[]]]],[]] => 1
[[],[[],[],[]],[[]],[]] => [[],[[]],[[],[],[]],[]] => 2
[[],[[],[[]]],[[]],[]] => [[],[[]],[[[]],[]],[]] => 2
[[],[[[]],[]],[[]],[]] => [[],[[]],[[],[[]]],[]] => 2
[[],[[[],[]]],[[]],[]] => [[],[[]],[[[],[]]],[]] => 2
[[],[[[[]]]],[[]],[]] => [[],[[]],[[[[]]]],[]] => 1
[[],[[],[],[],[]],[],[]] => [[],[],[[],[],[],[]],[]] => 2
[[],[[],[],[[]]],[],[]] => [[],[],[[[]],[],[]],[]] => 2
[[],[[],[[]],[]],[],[]] => [[],[],[[],[[]],[]],[]] => 2
[[],[[],[[],[]]],[],[]] => [[],[],[[[],[]],[]],[]] => 2
[[],[[],[[[]]]],[],[]] => [[],[],[[[[]]],[]],[]] => 2
[[],[[[]],[],[]],[],[]] => [[],[],[[],[],[[]]],[]] => 2
[[],[[[]],[[]]],[],[]] => [[],[],[[[]],[[]]],[]] => 2
[[],[[[],[]],[]],[],[]] => [[],[],[[],[[],[]]],[]] => 2
[[],[[[[]]],[]],[],[]] => [[],[],[[],[[[]]]],[]] => 2
[[],[[[],[],[]]],[],[]] => [[],[],[[[],[],[]]],[]] => 2
[[],[[[],[[]]]],[],[]] => [[],[],[[[[]],[]]],[]] => 2
[[],[[[[]],[]]],[],[]] => [[],[],[[[],[[]]]],[]] => 2
[[],[[[[],[]]]],[],[]] => [[],[],[[[[],[]]]],[]] => 2
[[],[[[[[]]]]],[],[]] => [[],[],[[[[[]]]]],[]] => 1
[[],[[],[],[],[]],[[]]] => [[[]],[[],[],[],[]],[]] => 2
[[],[[],[],[[]]],[[]]] => [[[]],[[[]],[],[]],[]] => 2
[[],[[],[[]],[]],[[]]] => [[[]],[[],[[]],[]],[]] => 2
[[],[[],[[],[]]],[[]]] => [[[]],[[[],[]],[]],[]] => 2
[[],[[],[[[]]]],[[]]] => [[[]],[[[[]]],[]],[]] => 2
[[],[[[]],[],[]],[[]]] => [[[]],[[],[],[[]]],[]] => 2
[[],[[[]],[[]]],[[]]] => [[[]],[[[]],[[]]],[]] => 2
[[],[[[],[]],[]],[[]]] => [[[]],[[],[[],[]]],[]] => 2
[[],[[[[]]],[]],[[]]] => [[[]],[[],[[[]]]],[]] => 2
[[],[[[],[],[]]],[[]]] => [[[]],[[[],[],[]]],[]] => 2
[[],[[[],[[]]]],[[]]] => [[[]],[[[[]],[]]],[]] => 2
[[],[[[[]],[]]],[[]]] => [[[]],[[[],[[]]]],[]] => 2
[[],[[[[],[]]]],[[]]] => [[[]],[[[[],[]]]],[]] => 2
[[],[[[[[]]]]],[[]]] => [[[]],[[[[[]]]]],[]] => 1
[[],[[],[],[],[],[]],[]] => [[],[[],[],[],[],[]],[]] => 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
[[],[[[[[[]]]]]],[]] => [[],[[[[[[]]]]]],[]] => 1
[[[]],[],[],[],[],[],[]] => [[],[],[],[],[],[],[[]]] => 1
[[[]],[],[],[],[],[[]]] => [[[]],[],[],[],[],[[]]] => 1
[[[]],[],[],[],[[]],[]] => [[],[[]],[],[],[],[[]]] => 1
[[[]],[],[],[],[[],[]]] => [[[],[]],[],[],[],[[]]] => 2
[[[]],[],[],[],[[[]]]] => [[[[]]],[],[],[],[[]]] => 1
[[[]],[],[],[[]],[],[]] => [[],[],[[]],[],[],[[]]] => 1
[[[]],[],[],[[]],[[]]] => [[[]],[[]],[],[],[[]]] => 1
[[[]],[],[],[[],[]],[]] => [[],[[],[]],[],[],[[]]] => 2
[[[]],[],[],[[[]]],[]] => [[],[[[]]],[],[],[[]]] => 1
[[[]],[],[[]],[],[],[]] => [[],[],[],[[]],[],[[]]] => 1
[[[]],[],[[]],[],[[]]] => [[[]],[],[[]],[],[[]]] => 1
[[[]],[],[[]],[[]],[]] => [[],[[]],[[]],[],[[]]] => 1
[[[]],[],[[],[]],[],[]] => [[],[],[[],[]],[],[[]]] => 2
[[[]],[],[[[]]],[],[]] => [[],[],[[[]]],[],[[]]] => 1
[[[]],[],[[],[]],[[]]] => [[[]],[[],[]],[],[[]]] => 2
[[[]],[],[[[]]],[[]]] => [[[]],[[[]]],[],[[]]] => 1
[[[]],[],[[],[],[]],[]] => [[],[[],[],[]],[],[[]]] => 2
[[[]],[],[[],[[]]],[]] => [[],[[[]],[]],[],[[]]] => 2
[[[]],[],[[[]],[]],[]] => [[],[[],[[]]],[],[[]]] => 2
[[[]],[],[[[],[]]],[]] => [[],[[[],[]]],[],[[]]] => 2
[[[]],[],[[[[]]]],[]] => [[],[[[[]]]],[],[[]]] => 1
[[[]],[[]],[],[],[],[]] => [[],[],[],[],[[]],[[]]] => 1
[[[]],[[]],[],[],[[]]] => [[[]],[],[],[[]],[[]]] => 1
[[[]],[[]],[],[[]],[]] => [[],[[]],[],[[]],[[]]] => 1
[[[]],[[]],[],[[],[]]] => [[[],[]],[],[[]],[[]]] => 2
[[[]],[[]],[],[[[]]]] => [[[[]]],[],[[]],[[]]] => 1
[[[]],[[]],[[]],[],[]] => [[],[],[[]],[[]],[[]]] => 1
[[[]],[[]],[[]],[[]]] => [[[]],[[]],[[]],[[]]] => 1
[[[]],[[]],[[],[]],[]] => [[],[[],[]],[[]],[[]]] => 2
[[[]],[[]],[[[]]],[]] => [[],[[[]]],[[]],[[]]] => 1
[[[]],[[],[]],[],[],[]] => [[],[],[],[[],[]],[[]]] => 2
[[[]],[[[]]],[],[],[]] => [[],[],[],[[[]]],[[]]] => 1
[[[]],[[],[]],[],[[]]] => [[[]],[],[[],[]],[[]]] => 2
[[[]],[[[]]],[],[[]]] => [[[]],[],[[[]]],[[]]] => 1
[[[]],[[],[]],[[]],[]] => [[],[[]],[[],[]],[[]]] => 2
[[[]],[[[]]],[[]],[]] => [[],[[]],[[[]]],[[]]] => 1
[[[]],[[],[],[]],[],[]] => [[],[],[[],[],[]],[[]]] => 2
[[[]],[[],[[]]],[],[]] => [[],[],[[[]],[]],[[]]] => 2
[[[]],[[[]],[]],[],[]] => [[],[],[[],[[]]],[[]]] => 2
[[[]],[[[],[]]],[],[]] => [[],[],[[[],[]]],[[]]] => 2
[[[]],[[[[]]]],[],[]] => [[],[],[[[[]]]],[[]]] => 1
[[[]],[[],[],[]],[[]]] => [[[]],[[],[],[]],[[]]] => 2
[[[]],[[],[[]]],[[]]] => [[[]],[[[]],[]],[[]]] => 2
[[[]],[[[]],[]],[[]]] => [[[]],[[],[[]]],[[]]] => 2
[[[]],[[[],[]]],[[]]] => [[[]],[[[],[]]],[[]]] => 2
[[[]],[[[[]]]],[[]]] => [[[]],[[[[]]]],[[]]] => 1
[[[]],[[],[],[],[]],[]] => [[],[[],[],[],[]],[[]]] => 2
[[[]],[[],[],[[]]],[]] => [[],[[[]],[],[]],[[]]] => 2
[[[]],[[],[[]],[]],[]] => [[],[[],[[]],[]],[[]]] => 2
[[[]],[[],[[],[]]],[]] => [[],[[[],[]],[]],[[]]] => 2
[[[]],[[],[[[]]]],[]] => [[],[[[[]]],[]],[[]]] => 2
[[[]],[[[]],[],[]],[]] => [[],[[],[],[[]]],[[]]] => 2
[[[]],[[[]],[[]]],[]] => [[],[[[]],[[]]],[[]]] => 2
[[[]],[[[],[]],[]],[]] => [[],[[],[[],[]]],[[]]] => 2
[[[]],[[[[]]],[]],[]] => [[],[[],[[[]]]],[[]]] => 2
[[[]],[[[],[],[]]],[]] => [[],[[[],[],[]]],[[]]] => 2
[[[]],[[[],[[]]]],[]] => [[],[[[[]],[]]],[[]]] => 2
[[[]],[[[[]],[]]],[]] => [[],[[[],[[]]]],[[]]] => 2
[[[]],[[[[],[]]]],[]] => [[],[[[[],[]]]],[[]]] => 2
[[[]],[[[[[]]]]],[]] => [[],[[[[[]]]]],[[]]] => 1
[[[],[]],[],[],[],[],[]] => [[],[],[],[],[],[[],[]]] => 2
[[[[]]],[],[],[],[],[]] => [[],[],[],[],[],[[[]]]] => 1
[[[],[]],[],[],[],[[]]] => [[[]],[],[],[],[[],[]]] => 2
[[[[]]],[],[],[],[[]]] => [[[]],[],[],[],[[[]]]] => 1
[[[],[]],[],[],[[]],[]] => [[],[[]],[],[],[[],[]]] => 2
[[[[]]],[],[],[[]],[]] => [[],[[]],[],[],[[[]]]] => 1
[[[],[]],[],[],[[],[]]] => [[[],[]],[],[],[[],[]]] => 2
[[[],[]],[],[],[[[]]]] => [[[[]]],[],[],[[],[]]] => 2
[[[[]]],[],[],[[],[]]] => [[[],[]],[],[],[[[]]]] => 2
[[[[]]],[],[],[[[]]]] => [[[[]]],[],[],[[[]]]] => 1
[[[],[]],[],[[]],[],[]] => [[],[],[[]],[],[[],[]]] => 2
[[[[]]],[],[[]],[],[]] => [[],[],[[]],[],[[[]]]] => 1
[[[],[]],[],[[]],[[]]] => [[[]],[[]],[],[[],[]]] => 2
[[[[]]],[],[[]],[[]]] => [[[]],[[]],[],[[[]]]] => 1
[[[],[]],[],[[],[]],[]] => [[],[[],[]],[],[[],[]]] => 2
[[[],[]],[],[[[]]],[]] => [[],[[[]]],[],[[],[]]] => 2
[[[[]]],[],[[],[]],[]] => [[],[[],[]],[],[[[]]]] => 2
[[[[]]],[],[[[]]],[]] => [[],[[[]]],[],[[[]]]] => 1
[[[],[]],[[]],[],[],[]] => [[],[],[],[[]],[[],[]]] => 2
[[[[]]],[[]],[],[],[]] => [[],[],[],[[]],[[[]]]] => 1
[[[],[]],[[]],[],[[]]] => [[[]],[],[[]],[[],[]]] => 2
[[[[]]],[[]],[],[[]]] => [[[]],[],[[]],[[[]]]] => 1
[[[],[]],[[]],[[]],[]] => [[],[[]],[[]],[[],[]]] => 2
[[[[]]],[[]],[[]],[]] => [[],[[]],[[]],[[[]]]] => 1
[[[],[]],[[],[]],[],[]] => [[],[],[[],[]],[[],[]]] => 2
[[[],[]],[[[]]],[],[]] => [[],[],[[[]]],[[],[]]] => 2
[[[[]]],[[],[]],[],[]] => [[],[],[[],[]],[[[]]]] => 2
[[[[]]],[[[]]],[],[]] => [[],[],[[[]]],[[[]]]] => 1
[[[],[]],[[],[]],[[]]] => [[[]],[[],[]],[[],[]]] => 2
[[[],[]],[[[]]],[[]]] => [[[]],[[[]]],[[],[]]] => 2
[[[[]]],[[],[]],[[]]] => [[[]],[[],[]],[[[]]]] => 2
[[[[]]],[[[]]],[[]]] => [[[]],[[[]]],[[[]]]] => 1
[[[],[]],[[],[],[]],[]] => [[],[[],[],[]],[[],[]]] => 2
[[[],[]],[[],[[]]],[]] => [[],[[[]],[]],[[],[]]] => 2
[[[],[]],[[[]],[]],[]] => [[],[[],[[]]],[[],[]]] => 2
[[[],[]],[[[],[]]],[]] => [[],[[[],[]]],[[],[]]] => 2
[[[],[]],[[[[]]]],[]] => [[],[[[[]]]],[[],[]]] => 2
[[[[]]],[[],[],[]],[]] => [[],[[],[],[]],[[[]]]] => 2
[[[[]]],[[],[[]]],[]] => [[],[[[]],[]],[[[]]]] => 2
[[[[]]],[[[]],[]],[]] => [[],[[],[[]]],[[[]]]] => 2
[[[[]]],[[[],[]]],[]] => [[],[[[],[]]],[[[]]]] => 2
[[[[]]],[[[[]]]],[]] => [[],[[[[]]]],[[[]]]] => 1
[[[],[],[]],[],[],[],[]] => [[],[],[],[],[[],[],[]]] => 2
[[[],[[]]],[],[],[],[]] => [[],[],[],[],[[[]],[]]] => 2
[[[[]],[]],[],[],[],[]] => [[],[],[],[],[[],[[]]]] => 2
[[[[],[]]],[],[],[],[]] => [[],[],[],[],[[[],[]]]] => 2
[[[[[]]]],[],[],[],[]] => [[],[],[],[],[[[[]]]]] => 1
[[[],[],[]],[],[],[[]]] => [[[]],[],[],[[],[],[]]] => 2
[[[],[[]]],[],[],[[]]] => [[[]],[],[],[[[]],[]]] => 2
[[[[]],[]],[],[],[[]]] => [[[]],[],[],[[],[[]]]] => 2
[[[[],[]]],[],[],[[]]] => [[[]],[],[],[[[],[]]]] => 2
[[[[[]]]],[],[],[[]]] => [[[]],[],[],[[[[]]]]] => 1
[[[],[],[]],[],[[]],[]] => [[],[[]],[],[[],[],[]]] => 2
[[[],[[]]],[],[[]],[]] => [[],[[]],[],[[[]],[]]] => 2
[[[[]],[]],[],[[]],[]] => [[],[[]],[],[[],[[]]]] => 2
[[[[],[]]],[],[[]],[]] => [[],[[]],[],[[[],[]]]] => 2
[[[[[]]]],[],[[]],[]] => [[],[[]],[],[[[[]]]]] => 1
[[[],[],[]],[[]],[],[]] => [[],[],[[]],[[],[],[]]] => 2
[[[],[[]]],[[]],[],[]] => [[],[],[[]],[[[]],[]]] => 2
[[[[]],[]],[[]],[],[]] => [[],[],[[]],[[],[[]]]] => 2
[[[[],[]]],[[]],[],[]] => [[],[],[[]],[[[],[]]]] => 2
[[[[[]]]],[[]],[],[]] => [[],[],[[]],[[[[]]]]] => 1
[[[],[],[]],[[]],[[]]] => [[[]],[[]],[[],[],[]]] => 2
[[[],[[]]],[[]],[[]]] => [[[]],[[]],[[[]],[]]] => 2
[[[[]],[]],[[]],[[]]] => [[[]],[[]],[[],[[]]]] => 2
[[[[],[]]],[[]],[[]]] => [[[]],[[]],[[[],[]]]] => 2
[[[[[]]]],[[]],[[]]] => [[[]],[[]],[[[[]]]]] => 1
[[[],[],[]],[[],[]],[]] => [[],[[],[]],[[],[],[]]] => 2
[[[],[],[]],[[[]]],[]] => [[],[[[]]],[[],[],[]]] => 2
[[[],[[]]],[[],[]],[]] => [[],[[],[]],[[[]],[]]] => 2
[[[],[[]]],[[[]]],[]] => [[],[[[]]],[[[]],[]]] => 2
[[[[]],[]],[[],[]],[]] => [[],[[],[]],[[],[[]]]] => 2
[[[[]],[]],[[[]]],[]] => [[],[[[]]],[[],[[]]]] => 2
[[[[],[]]],[[],[]],[]] => [[],[[],[]],[[[],[]]]] => 2
[[[[],[]]],[[[]]],[]] => [[],[[[]]],[[[],[]]]] => 2
[[[[[]]]],[[],[]],[]] => [[],[[],[]],[[[[]]]]] => 2
[[[[[]]]],[[[]]],[]] => [[],[[[]]],[[[[]]]]] => 1
[[[],[],[],[]],[],[],[]] => [[],[],[],[[],[],[],[]]] => 2
[[[],[],[[]]],[],[],[]] => [[],[],[],[[[]],[],[]]] => 2
[[[],[[]],[]],[],[],[]] => [[],[],[],[[],[[]],[]]] => 2
[[[],[[],[]]],[],[],[]] => [[],[],[],[[[],[]],[]]] => 2
[[[],[[[]]]],[],[],[]] => [[],[],[],[[[[]]],[]]] => 2
[[[[]],[],[]],[],[],[]] => [[],[],[],[[],[],[[]]]] => 2
[[[[]],[[]]],[],[],[]] => [[],[],[],[[[]],[[]]]] => 2
[[[[],[]],[]],[],[],[]] => [[],[],[],[[],[[],[]]]] => 2
[[[[[]]],[]],[],[],[]] => [[],[],[],[[],[[[]]]]] => 2
[[[[],[],[]]],[],[],[]] => [[],[],[],[[[],[],[]]]] => 2
[[[[],[[]]]],[],[],[]] => [[],[],[],[[[[]],[]]]] => 2
[[[[[]],[]]],[],[],[]] => [[],[],[],[[[],[[]]]]] => 2
[[[[[],[]]]],[],[],[]] => [[],[],[],[[[[],[]]]]] => 2
[[[[[[]]]]],[],[],[]] => [[],[],[],[[[[[]]]]]] => 1
[[[],[],[],[]],[],[[]]] => [[[]],[],[[],[],[],[]]] => 2
[[[],[],[[]]],[],[[]]] => [[[]],[],[[[]],[],[]]] => 2
[[[],[[]],[]],[],[[]]] => [[[]],[],[[],[[]],[]]] => 2
[[[],[[],[]]],[],[[]]] => [[[]],[],[[[],[]],[]]] => 2
[[[],[[[]]]],[],[[]]] => [[[]],[],[[[[]]],[]]] => 2
[[[[]],[],[]],[],[[]]] => [[[]],[],[[],[],[[]]]] => 2
[[[[]],[[]]],[],[[]]] => [[[]],[],[[[]],[[]]]] => 2
[[[[],[]],[]],[],[[]]] => [[[]],[],[[],[[],[]]]] => 2
[[[[[]]],[]],[],[[]]] => [[[]],[],[[],[[[]]]]] => 2
[[[[],[],[]]],[],[[]]] => [[[]],[],[[[],[],[]]]] => 2
[[[[],[[]]]],[],[[]]] => [[[]],[],[[[[]],[]]]] => 2
[[[[[]],[]]],[],[[]]] => [[[]],[],[[[],[[]]]]] => 2
[[[[[],[]]]],[],[[]]] => [[[]],[],[[[[],[]]]]] => 2
[[[[[[]]]]],[],[[]]] => [[[]],[],[[[[[]]]]]] => 1
[[[],[],[],[]],[[]],[]] => [[],[[]],[[],[],[],[]]] => 2
[[[],[],[[]]],[[]],[]] => [[],[[]],[[[]],[],[]]] => 2
[[[],[[]],[]],[[]],[]] => [[],[[]],[[],[[]],[]]] => 2
[[[],[[],[]]],[[]],[]] => [[],[[]],[[[],[]],[]]] => 2
[[[],[[[]]]],[[]],[]] => [[],[[]],[[[[]]],[]]] => 2
[[[[]],[],[]],[[]],[]] => [[],[[]],[[],[],[[]]]] => 2
[[[[]],[[]]],[[]],[]] => [[],[[]],[[[]],[[]]]] => 2
[[[[],[]],[]],[[]],[]] => [[],[[]],[[],[[],[]]]] => 2
[[[[[]]],[]],[[]],[]] => [[],[[]],[[],[[[]]]]] => 2
[[[[],[],[]]],[[]],[]] => [[],[[]],[[[],[],[]]]] => 2
[[[[],[[]]]],[[]],[]] => [[],[[]],[[[[]],[]]]] => 2
[[[[[]],[]]],[[]],[]] => [[],[[]],[[[],[[]]]]] => 2
[[[[[],[]]]],[[]],[]] => [[],[[]],[[[[],[]]]]] => 2
[[[[[[]]]]],[[]],[]] => [[],[[]],[[[[[]]]]]] => 1
[[[],[],[],[],[]],[],[]] => [[],[],[[],[],[],[],[]]] => 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
[[[[[[[]]]]]],[],[]] => [[],[],[[[[[[]]]]]]] => 1
[[[],[],[],[],[]],[[]]] => [[[]],[[],[],[],[],[]]] => 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
[[[[[[[]]]]]],[[]]] => [[[]],[[[[[[]]]]]]] => 1
[[[],[],[],[],[],[]],[]] => [[],[[],[],[],[],[],[]]] => 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
[[[[]],[],[],[],[]],[]] => [[],[[],[],[],[],[[]]]] => 2
[[[[]],[],[],[[]]],[]] => [[],[[[]],[],[],[[]]]] => 2
[[[[]],[],[[]],[]],[]] => [[],[[],[[]],[],[[]]]] => 2
[[[[]],[],[[],[]]],[]] => [[],[[[],[]],[],[[]]]] => 2
[[[[]],[],[[[]]]],[]] => [[],[[[[]]],[],[[]]]] => 2
[[[[]],[[]],[],[]],[]] => [[],[[],[],[[]],[[]]]] => 2
[[[[]],[[]],[[]]],[]] => [[],[[[]],[[]],[[]]]] => 2
[[[[]],[[],[]],[]],[]] => [[],[[],[[],[]],[[]]]] => 2
[[[[]],[[[]]],[]],[]] => [[],[[],[[[]]],[[]]]] => 2
[[[[]],[[],[],[]]],[]] => [[],[[[],[],[]],[[]]]] => 2
[[[[]],[[],[[]]]],[]] => [[],[[[[]],[]],[[]]]] => 2
[[[[]],[[[]],[]]],[]] => [[],[[[],[[]]],[[]]]] => 2
[[[[]],[[[],[]]]],[]] => [[],[[[[],[]]],[[]]]] => 2
[[[[]],[[[[]]]]],[]] => [[],[[[[[]]]],[[]]]] => 2
[[[[],[]],[],[],[]],[]] => [[],[[],[],[],[[],[]]]] => 2
[[[[[]]],[],[],[]],[]] => [[],[[],[],[],[[[]]]]] => 2
[[[[],[]],[],[[]]],[]] => [[],[[[]],[],[[],[]]]] => 2
[[[[[]]],[],[[]]],[]] => [[],[[[]],[],[[[]]]]] => 2
[[[[],[]],[[]],[]],[]] => [[],[[],[[]],[[],[]]]] => 2
[[[[[]]],[[]],[]],[]] => [[],[[],[[]],[[[]]]]] => 2
[[[[],[]],[[],[]]],[]] => [[],[[[],[]],[[],[]]]] => 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
[[[[[]],[],[[]]]],[]] => [[],[[[[]],[],[[]]]]] => 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
[[[[[[[[]]]]]]],[]] => [[],[[[[[[[]]]]]]]] => 1
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:
4,1 8,6 16,26 32,100 64,364,1
$F_{2} = q$
$F_{3} = 2\ q$
$F_{4} = 4\ q + q^{2}$
$F_{5} = 8\ q + 6\ q^{2}$
$F_{6} = 16\ q + 26\ q^{2}$
$F_{7} = 32\ q + 100\ q^{2}$
$F_{8} = 64\ q + 364\ q^{2} + q^{3}$
Description
The pruning number of an ordered tree.
A hanging branch of an ordered tree is a proper factor of the form $[^r]^r$ for some $r\geq 1$. A hanging branch is a maximal hanging branch if it is not a proper factor of another hanging branch.
A pruning of an ordered tree is the act of deleting all its maximal hanging branches. The pruning order of an ordered tree is the number of prunings required to reduce it to $[]$.
A hanging branch of an ordered tree is a proper factor of the form $[^r]^r$ for some $r\geq 1$. A hanging branch is a maximal hanging branch if it is not a proper factor of another hanging branch.
A pruning of an ordered tree is the act of deleting all its maximal hanging branches. The pruning order of an ordered tree is the number of prunings required to reduce it to $[]$.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
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