Identifier
-
Mp00139:
Ordered trees
—Zeilberger's Strahler bijection⟶
Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
St000417: Ordered trees ⟶ ℤ
Values
[[]] => [.,.] => [[]] => 1
[[],[]] => [.,[.,.]] => [[],[]] => 2
[[[]]] => [[.,.],.] => [[[]]] => 1
[[],[],[]] => [.,[.,[.,.]]] => [[],[],[]] => 6
[[],[[]]] => [.,[[.,.],.]] => [[],[[]]] => 1
[[[]],[]] => [[.,[.,.]],.] => [[[],[]]] => 2
[[[],[]]] => [[.,.],[.,.]] => [[[]],[]] => 1
[[[[]]]] => [[[.,.],.],.] => [[[[]]]] => 1
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [[],[],[],[]] => 24
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [[],[],[[]]] => 2
[[],[[]],[]] => [.,[[.,[.,.]],.]] => [[],[[],[]]] => 2
[[],[[],[]]] => [.,[[.,.],[.,.]]] => [[],[[]],[]] => 2
[[],[[[]]]] => [.,[[[.,.],.],.]] => [[],[[[]]]] => 1
[[[]],[],[]] => [[.,[.,[.,.]]],.] => [[[],[],[]]] => 6
[[[]],[[]]] => [[.,[[.,.],.]],.] => [[[],[[]]]] => 1
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [[[],[]],[]] => 2
[[[[]]],[]] => [[[.,[.,.]],.],.] => [[[[],[]]]] => 2
[[[],[],[]]] => [[.,.],[.,[.,.]]] => [[[]],[],[]] => 2
[[[],[[]]]] => [[.,.],[[.,.],.]] => [[[]],[[]]] => 2
[[[[]],[]]] => [[[.,.],.],[.,.]] => [[[[]]],[]] => 1
[[[[],[]]]] => [[[.,.],[.,.]],.] => [[[[]],[]]] => 1
[[[[[]]]]] => [[[[.,.],.],.],.] => [[[[[]]]]] => 1
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [[],[],[],[],[]] => 120
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [[],[],[],[[]]] => 6
[[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] => [[],[],[[],[]]] => 4
[[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] => [[],[],[[]],[]] => 6
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [[],[],[[[]]]] => 2
[[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] => [[],[[],[],[]]] => 6
[[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] => [[],[[],[[]]]] => 1
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [[],[[],[]],[]] => 4
[[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] => [[],[[[],[]]]] => 2
[[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] => [[],[[]],[],[]] => 6
[[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] => [[],[[]],[[]]] => 2
[[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] => [[],[[[]]],[]] => 2
[[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] => [[],[[[]],[]]] => 1
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [[],[[[[]]]]] => 1
[[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] => [[[],[],[],[]]] => 24
[[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] => [[[],[],[[]]]] => 2
[[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] => [[[],[[],[]]]] => 2
[[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] => [[[]],[[]],[]] => 2
[[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] => [[[],[[[]]]]] => 1
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [[[],[]],[],[]] => 4
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [[[[],[],[]]]] => 6
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [[[],[]],[[]]] => 2
[[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] => [[[[],[[]]]]] => 1
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [[[],[],[]],[]] => 6
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [[[],[[]]],[]] => 1
[[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] => [[[[],[]]],[]] => 2
[[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] => [[[[],[]],[]]] => 2
[[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] => [[[[[],[]]]]] => 2
[[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] => [[[]],[],[],[]] => 6
[[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] => [[[]],[],[[]]] => 2
[[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [[[]],[[],[]]] => 2
[[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] => [[[],[[]],[]]] => 2
[[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] => [[[]],[[[]]]] => 1
[[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] => [[[[]]],[],[]] => 2
[[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] => [[[[]]],[[]]] => 1
[[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] => [[[[]],[]],[]] => 1
[[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] => [[[[[]]]],[]] => 1
[[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] => [[[[]],[],[]]] => 2
[[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] => [[[[]],[[]]]] => 2
[[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] => [[[[[]]],[]]] => 1
[[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] => [[[[[]],[]]]] => 1
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [[[[[[]]]]]] => 1
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[],[],[],[],[],[]] => 720
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [[],[],[],[],[[]]] => 24
[[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] => [[],[],[],[[],[]]] => 12
[[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [[],[],[],[[]],[]] => 24
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [[],[],[],[[[]]]] => 6
[[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] => [[],[],[[],[],[]]] => 12
[[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] => [[],[],[[],[[]]]] => 2
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [[],[],[[],[]],[]] => 12
[[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] => [[],[],[[[],[]]]] => 4
[[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [[],[],[[]],[],[]] => 24
[[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [[],[],[[]],[[]]] => 4
[[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] => [[],[],[[[]]],[]] => 6
[[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [[],[],[[[]],[]]] => 2
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [[],[],[[[[]]]]] => 2
[[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] => [[],[[],[],[],[]]] => 24
[[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [[],[[],[],[[]]]] => 2
[[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] => [[],[[],[[],[]]]] => 2
[[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] => [[],[[]],[[]],[]] => 4
[[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] => [[],[[],[[[]]]]] => 1
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [[],[[],[]],[],[]] => 12
[[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] => [[],[[[],[],[]]]] => 6
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [[],[[],[]],[[]]] => 2
[[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] => [[],[[[],[[]]]]] => 1
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [[],[[],[],[]],[]] => 12
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [[],[[],[[]]],[]] => 2
[[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [[],[[[],[]]],[]] => 4
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] => [[],[[[],[]],[]]] => 2
[[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] => [[],[[[[],[]]]]] => 2
[[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [[],[[]],[],[],[]] => 24
[[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [[],[[]],[],[[]]] => 4
[[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [[],[[]],[[],[]]] => 2
[[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] => [[],[[],[[]],[]]] => 2
[[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] => [[],[[]],[[[]]]] => 1
[[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] => [[],[[[]]],[],[]] => 6
[[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [[],[[[]]],[[]]] => 1
[[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] => [[],[[[]],[]],[]] => 2
[[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] => [[],[[[[]]]],[]] => 2
>>> Load all 1200 entries. <<<[[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] => [[],[[[]],[],[]]] => 2
[[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] => [[],[[[]],[[]]]] => 2
[[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] => [[],[[[[]]],[]]] => 1
[[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] => [[],[[[[]],[]]]] => 1
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [[],[[[[[]]]]]] => 1
[[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[],[],[],[],[]]] => 120
[[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] => [[[],[],[],[[]]]] => 6
[[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [[[],[],[[],[]]]] => 4
[[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] => [[[]],[],[[]],[]] => 4
[[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] => [[[],[],[[[]]]]] => 2
[[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [[[],[[],[],[]]]] => 6
[[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] => [[[],[[],[[]]]]] => 1
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [[[]],[[],[]],[]] => 2
[[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [[[],[[[],[]]]]] => 2
[[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] => [[[]],[[]],[],[]] => 4
[[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [[[]],[[]],[[]]] => 6
[[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] => [[[]],[[[]]],[]] => 1
[[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] => [[[]],[[[]],[]]] => 1
[[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] => [[[],[[[[]]]]]] => 1
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[],[]],[],[],[]] => 12
[[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[],[],[],[]]]] => 24
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [[[],[]],[],[[]]] => 2
[[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[],[[]]]]] => 2
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] => [[[],[]],[[],[]]] => 8
[[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] => [[[[],[[],[]]]]] => 2
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] => [[[],[]],[[]],[]] => 2
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [[[],[]],[[[]]]] => 2
[[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] => [[[[]]],[[]],[]] => 1
[[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] => [[[[],[[[]]]]]] => 1
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[],[],[]],[],[]] => 12
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[[]]],[],[]] => 2
[[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[],[]]],[],[]] => 4
[[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [[[[],[]],[],[]]] => 4
[[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [[[[[],[],[]]]]] => 6
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [[[],[],[]],[[]]] => 6
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[[]]],[[]]] => 1
[[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [[[[],[]]],[[]]] => 2
[[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] => [[[[],[]],[[]]]] => 2
[[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] => [[[[[],[[]]]]]] => 1
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[],[],[],[]],[]] => 24
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [[[],[],[[]]],[]] => 2
[[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [[[],[[],[]]],[]] => 2
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [[[],[[],[]],[]]] => 4
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [[[],[[[]]]],[]] => 1
[[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[],[],[]]],[]] => 6
[[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [[[[],[[]]]],[]] => 1
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[],[]],[]],[]] => 2
[[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[],[]]]],[]] => 2
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[],[],[]],[]]] => 6
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [[[[],[[]]],[]]] => 1
[[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [[[[[],[]]],[]]] => 2
[[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] => [[[[[],[]],[]]]] => 2
[[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] => [[[[[[],[]]]]]] => 2
[[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[]],[],[],[],[]] => 24
[[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [[[]],[],[],[[]]] => 4
[[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [[[]],[],[[],[]]] => 2
[[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] => [[[],[],[[]],[]]] => 6
[[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] => [[[]],[],[[[]]]] => 1
[[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [[[]],[[],[],[]]] => 6
[[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [[[]],[[],[[]]]] => 1
[[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [[[],[[]],[]],[]] => 2
[[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [[[]],[[[],[]]]] => 2
[[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] => [[[],[[]],[],[]]] => 6
[[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] => [[[],[[]],[[]]]] => 2
[[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] => [[[],[[[]]],[]]] => 2
[[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] => [[[],[[[]],[]]]] => 1
[[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] => [[[]],[[[[]]]]] => 1
[[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[]]],[],[],[]] => 6
[[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [[[[]]],[],[[]]] => 1
[[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [[[[]]],[[],[]]] => 2
[[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] => [[[[]],[[]],[]]] => 2
[[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] => [[[[]]],[[[]]]] => 2
[[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] => [[[[]],[]],[],[]] => 2
[[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] => [[[[[]]]],[],[]] => 2
[[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] => [[[[]],[]],[[]]] => 1
[[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] => [[[[[]]]],[[]]] => 1
[[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [[[[]],[],[]],[]] => 2
[[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] => [[[[]],[[]]],[]] => 2
[[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] => [[[[[]]],[]],[]] => 1
[[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] => [[[[[]],[]]],[]] => 1
[[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[]]]]],[]] => 1
[[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] => [[[[]],[],[],[]]] => 6
[[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] => [[[[]],[],[[]]]] => 2
[[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [[[[]],[[],[]]]] => 2
[[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] => [[[[],[[]],[]]]] => 2
[[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] => [[[[]],[[[]]]]] => 1
[[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] => [[[[[]]],[],[]]] => 2
[[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] => [[[[[]]],[[]]]] => 1
[[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] => [[[[[]],[]],[]]] => 1
[[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] => [[[[[[]]]],[]]] => 1
[[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] => [[[[[]],[],[]]]] => 2
[[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] => [[[[[]],[[]]]]] => 2
[[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] => [[[[[[]]],[]]]] => 1
[[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] => [[[[[[]],[]]]]] => 1
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [[[[[[[]]]]]]] => 1
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[],[],[],[],[]] => 5040
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[],[],[],[],[],[[]]] => 120
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[],[],[],[],[[],[]]] => 48
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[],[],[],[[]],[]] => 120
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[],[],[],[],[[[]]]] => 24
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[],[],[],[[],[],[]]] => 36
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[],[],[],[[],[[]]]] => 6
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[],[],[],[[],[]],[]] => 48
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[],[],[],[[[],[]]]] => 12
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[],[],[],[[]],[],[]] => 120
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[],[],[],[[]],[[]]] => 12
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[],[],[],[[[]]],[]] => 24
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[],[],[],[[[]],[]]] => 6
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[],[],[],[[[[]]]]] => 6
[[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[],[],[[],[],[],[]]] => 48
[[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[],[],[[],[],[[]]]] => 4
[[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [[],[],[[],[[],[]]]] => 4
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[],[],[[]],[[]],[]] => 12
[[],[],[[]],[[[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[],[],[[],[[[]]]]] => 2
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[],[],[[],[]],[],[]] => 48
[[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [[],[],[[[],[],[]]]] => 12
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[],[],[[],[]],[[]]] => 4
[[],[],[[[]]],[[]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[],[],[[[],[[]]]]] => 2
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[],[],[[],[],[]],[]] => 36
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[],[],[[],[[]]],[]] => 6
[[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [[],[],[[[],[]]],[]] => 12
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[],[],[[[],[]],[]]] => 4
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[],[],[[[[],[]]]]] => 4
[[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[],[],[[]],[],[],[]] => 120
[[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[],[],[[]],[],[[]]] => 12
[[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[],[],[[]],[[],[]]] => 4
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[],[],[[],[[]],[]]] => 4
[[],[],[[],[[[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[],[],[[]],[[[]]]] => 2
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[],[],[[[]]],[],[]] => 24
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[],[],[[[]]],[[]]] => 2
[[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[],[],[[[]],[]],[]] => 6
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[],[],[[[[]]]],[]] => 6
[[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[],[],[[[]],[],[]]] => 4
[[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[],[],[[[]],[[]]]] => 4
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[],[],[[[[]]],[]]] => 2
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[],[],[[[[]],[]]]] => 2
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[],[],[[[[[]]]]]] => 2
[[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[],[[],[],[],[],[]]] => 120
[[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[],[[],[],[],[[]]]] => 6
[[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[],[[],[],[[],[]]]] => 4
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [[],[[]],[],[[]],[]] => 12
[[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[],[[],[],[[[]]]]] => 2
[[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[],[[],[[],[],[]]]] => 6
[[],[[]],[[]],[[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[],[[],[[],[[]]]]] => 1
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [[],[[]],[[],[]],[]] => 4
[[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[],[[],[[[],[]]]]] => 2
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [[],[[]],[[]],[],[]] => 12
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [[],[[]],[[]],[[]]] => 6
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [[],[[]],[[[]]],[]] => 2
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [[],[[]],[[[]],[]]] => 1
[[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[],[[],[[[[]]]]]] => 1
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[],[[],[]],[],[],[]] => 48
[[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[],[[[],[],[],[]]]] => 24
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [[],[[],[]],[],[[]]] => 4
[[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[],[[[],[],[[]]]]] => 2
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[],[[],[]],[[],[]]] => 8
[[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[],[[[],[[],[]]]]] => 2
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [[],[[],[]],[[]],[]] => 4
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[],[[],[]],[[[]]]] => 2
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[],[[[]]],[[]],[]] => 2
[[],[[[]]],[[[]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[],[[[],[[[]]]]]] => 1
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[],[[],[],[]],[],[]] => 36
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[],[[],[[]]],[],[]] => 6
[[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [[],[[[],[]]],[],[]] => 12
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [[],[[[],[]],[],[]]] => 4
[[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[],[[[[],[],[]]]]] => 6
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[],[[],[],[]],[[]]] => 6
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[],[[],[[]]],[[]]] => 1
[[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[],[[[],[]]],[[]]] => 2
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[],[[[],[]],[[]]]] => 2
[[],[[[[]]]],[[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[],[[[[],[[]]]]]] => 1
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[],[[],[],[],[]],[]] => 48
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [[],[[],[],[[]]],[]] => 4
[[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [[],[[],[[],[]]],[]] => 4
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [[],[[],[[],[]],[]]] => 4
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[],[[],[[[]]]],[]] => 2
[[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [[],[[[],[],[]]],[]] => 12
[[],[[[]],[[]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[],[[[],[[]]]],[]] => 2
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[],[[[],[]],[]],[]] => 4
[[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[],[[[[],[]]]],[]] => 4
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[],[[[],[],[]],[]]] => 6
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[],[[]]],[]]] => 1
[[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[[],[]]],[]]] => 2
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[],[[[[],[]],[]]]] => 2
[[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[],[[[[[],[]]]]]] => 2
[[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[],[[]],[],[],[],[]] => 120
[[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [[],[[]],[],[],[[]]] => 12
[[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [[],[[]],[],[[],[]]] => 4
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [[],[[],[],[[]],[]]] => 6
[[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [[],[[]],[],[[[]]]] => 2
[[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [[],[[]],[[],[],[]]] => 6
[[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [[],[[]],[[],[[]]]] => 1
[[],[[],[[],[]],[]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[],[[],[[]],[]],[]] => 4
[[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [[],[[]],[[[],[]]]] => 2
[[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [[],[[],[[]],[],[]]] => 6
[[],[[],[[],[[]]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [[],[[],[[]],[[]]]] => 2
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [[],[[],[[[]]],[]]] => 2
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [[],[[],[[[]],[]]]] => 1
[[],[[],[[[[]]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[],[[]],[[[[]]]]] => 1
[[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [[],[[[]]],[],[],[]] => 24
[[],[[[]],[],[[]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [[],[[[]]],[],[[]]] => 2
[[],[[[]],[[]],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [[],[[[]]],[[],[]]] => 2
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [[],[[[]],[[]],[]]] => 2
[[],[[[]],[[[]]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[],[[[]]],[[[]]]] => 2
[[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[],[[[]],[]],[],[]] => 6
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[],[[[[]]]],[],[]] => 6
[[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[],[[[]],[]],[[]]] => 1
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[],[[[[]]]],[[]]] => 1
[[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[],[[[]],[],[]],[]] => 4
[[],[[[],[[]]],[]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[],[[[]],[[]]],[]] => 4
[[],[[[[]],[]],[]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[],[[[[]]],[]],[]] => 2
[[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[],[[[[]],[]]],[]] => 2
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[],[[[[[]]]]],[]] => 2
[[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[],[[[]],[],[],[]]] => 6
[[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [[],[[[]],[],[[]]]] => 2
[[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [[],[[[]],[[],[]]]] => 2
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [[],[[[],[[]],[]]]] => 2
[[],[[[],[[[]]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [[],[[[]],[[[]]]]] => 1
[[],[[[[]],[],[]]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [[],[[[[]]],[],[]]] => 2
[[],[[[[]],[[]]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[],[[[[]]],[[]]]] => 1
[[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[],[[[[]],[]],[]]] => 1
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [[],[[[[[]]]],[]]] => 1
[[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[],[[[[]],[],[]]]] => 2
[[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [[],[[[[]],[[]]]]] => 2
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[],[[[[[]]],[]]]] => 1
[[],[[[[[],[]]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[],[[[[[]],[]]]]] => 1
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [[],[[[[[[]]]]]]] => 1
[[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[],[],[],[],[],[]]] => 720
[[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[],[],[],[],[[]]]] => 24
[[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[],[],[],[[],[]]]] => 12
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[]],[],[],[[]],[]] => 12
[[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [[[],[],[],[[[]]]]] => 6
[[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[],[],[[],[],[]]]] => 12
[[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [[[],[],[[],[[]]]]] => 2
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[]],[],[[],[]],[]] => 4
[[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [[[],[],[[[],[]]]]] => 4
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[]],[],[[]],[],[]] => 12
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[]],[],[[]],[[]]] => 6
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[[]],[],[[[]]],[]] => 2
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[]],[],[[[]],[]]] => 1
[[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [[[],[],[[[[]]]]]] => 2
[[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[],[[],[],[],[]]]] => 24
[[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [[[],[[],[],[[]]]]] => 2
[[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [[[],[[],[[],[]]]]] => 2
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[]],[[]],[[]],[]] => 6
[[[]],[[]],[[[]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [[[],[[],[[[]]]]]] => 1
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[]],[[],[]],[],[]] => 4
[[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [[[],[[[],[],[]]]]] => 6
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[]],[[],[]],[[]]] => 4
[[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [[[],[[[],[[]]]]]] => 1
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[]],[[],[],[]],[]] => 6
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[]],[[],[[]]],[]] => 1
[[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[]],[[[],[]]],[]] => 2
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[],[]],[]]] => 2
[[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [[[],[[[[],[]]]]]] => 2
[[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[]],[[]],[],[],[]] => 12
[[[]],[[],[],[[]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[]],[[]],[],[[]]] => 6
[[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[]],[[]],[[],[]]] => 4
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[[]],[[],[[]],[]]] => 2
[[[]],[[],[[[]]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[]],[[]],[[[]]]] => 2
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[]],[[[]]],[],[]] => 2
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[]],[[[]]],[[]]] => 2
[[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[]],[[[]],[]],[]] => 1
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[]],[[[[]]]],[]] => 1
[[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[[]],[[[]],[],[]]] => 2
[[[]],[[[],[[]]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[[]],[[[]],[[]]]] => 2
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[[]],[[[[]]],[]]] => 1
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[[]],[[[[]],[]]]] => 1
[[[]],[[[[[]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => [[[],[[[[[]]]]]]] => 1
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[],[]],[],[],[],[]] => 48
[[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[],[],[],[],[]]]] => 120
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[],[]],[],[],[[]]] => 4
[[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [[[[],[],[],[[]]]]] => 6
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[],[]],[],[[],[]]] => 8
[[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[],[],[[],[]]]]] => 4
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[],[]],[],[[]],[]] => 4
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[],[]],[],[[[]]]] => 2
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[]]],[],[[]],[]] => 2
[[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [[[[],[],[[[]]]]]] => 2
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[],[]],[[],[],[]]] => 12
[[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[],[[],[],[]]]]] => 6
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[[],[]],[[],[[]]]] => 2
[[[[]]],[[]],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [[[[],[[],[[]]]]]] => 1
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[],[]],[[],[]],[]] => 8
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[],[]],[[[],[]]]] => 4
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[]]],[[],[]],[]] => 2
[[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [[[[],[[[],[]]]]]] => 2
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[],[]],[[]],[],[]] => 4
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[],[]],[[]],[[]]] => 4
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[],[]],[[[]]],[]] => 2
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[],[]],[[[]],[]]] => 2
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[],[]],[[[[]]]]] => 2
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[]]],[[]],[],[]] => 2
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[[]]],[[]],[[]]] => 2
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[[]]],[[[]]],[]] => 2
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[[]]],[[[]],[]]] => 1
[[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [[[[],[[[[]]]]]]] => 1
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[],[],[]],[],[],[]] => 36
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[[]]],[],[],[]] => 6
[[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[],[]]],[],[],[]] => 12
[[[[],[]]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[[],[]],[],[],[]]] => 12
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[],[],[],[]]]]] => 24
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[],[],[]],[],[[]]] => 6
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[[]]],[],[[]]] => 1
[[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[],[]]],[],[[]]] => 2
[[[[],[]]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[[],[]],[],[[]]]] => 2
[[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [[[[[],[],[[]]]]]] => 2
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[],[],[]],[[],[]]] => 12
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[[],[[]]],[[],[]]] => 2
[[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[[],[]]],[[],[]]] => 4
[[[[],[]]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[[],[]],[[],[]]]] => 8
[[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [[[[[],[[],[]]]]]] => 2
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[],[],[]],[[]],[]] => 6
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[[],[],[]],[[[]]]] => 6
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[[]]],[[]],[]] => 1
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[[]]],[[[]]]] => 1
[[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[[],[]]],[[]],[]] => 2
[[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[[],[]]],[[[]]]] => 2
[[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[[],[]],[[]],[]]] => 2
[[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[[],[]],[[[]]]]] => 2
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[[[]]]],[[]],[]] => 1
[[[[[]]]],[[[]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => [[[[[],[[[]]]]]]] => 1
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[],[],[],[]],[],[]] => 48
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[],[],[[]]],[],[]] => 4
[[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[],[[],[]]],[],[]] => 4
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[],[[],[]],[],[]]] => 12
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[[[]]]],[],[]] => 2
[[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[],[]]],[],[]] => 12
[[[[]],[[]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[],[[]]]],[],[]] => 2
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[]],[],[]],[]] => 4
[[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[],[]]]],[],[]] => 4
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[],[],[]],[],[]]] => 12
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [[[[],[[]]],[],[]]] => 2
[[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[[],[]]],[],[]]] => 4
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[[],[]],[],[]]]] => 4
[[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[[],[],[]]]]]] => 6
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[],[],[],[]],[[]]] => 24
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[[],[],[[]]],[[]]] => 2
[[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[[],[[],[]]],[[]]] => 2
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [[[],[[],[]],[[]]]] => 2
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[[[]]]],[[]]] => 1
[[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[],[]]],[[]]] => 6
[[[[]],[[]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[[],[[]]]],[[]]] => 1
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[]],[[]]],[]] => 2
[[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[],[]]]],[[]]] => 2
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[],[],[]],[[]]]] => 6
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[[],[[]]],[[]]]] => 1
[[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[[[],[]]],[[]]]] => 2
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[[[],[]],[[]]]]] => 2
[[[[[[]]]]],[[]]] => [[[[[.,[[.,.],.]],.],.],.],.] => [[[[[[],[[]]]]]]] => 1
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[],[],[],[],[]],[]] => 120
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[],[],[],[[]]],[]] => 6
[[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[],[],[[],[]]],[]] => 4
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[],[],[[],[]],[]]] => 12
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[],[],[[[]]]],[]] => 2
[[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[],[[],[],[]]],[]] => 6
[[[],[[]],[[]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[],[[],[[]]]],[]] => 1
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[],[[],[]],[]],[]] => 4
[[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[],[[[],[]]]],[]] => 2
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[],[[],[],[]],[]]] => 12
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [[[],[[],[[]]],[]]] => 2
[[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [[[],[[[],[]]],[]]] => 4
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [[[],[[[],[]],[]]]] => 2
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[],[[[[]]]]],[]] => 1
[[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[],[],[],[]]],[]] => 24
[[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[],[[]]]],[]] => 2
[[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[],[[],[]]]],[]] => 2
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[[[]],[[],[]],[]]] => 2
[[[[]],[[[]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[],[[[]]]]],[]] => 1
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[]],[]],[],[]] => 4
[[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[],[],[]]]],[]] => 6
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[]],[]],[[]]] => 2
[[[[[]]],[[]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[],[[]]]]],[]] => 1
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[],[]],[]],[]] => 6
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[],[[]]],[]],[]] => 1
[[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[],[]]],[]],[]] => 2
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[],[]],[]]],[]] => 2
[[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[],[]]]]],[]] => 2
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[],[],[],[]],[]]] => 24
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[],[[]]],[]]] => 2
[[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[],[[],[]]],[]]] => 2
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[],[[],[]],[]]]] => 4
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [[[[],[[[]]]],[]]] => 1
[[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[[],[],[]]],[]]] => 6
[[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[[[],[[]]]],[]]] => 1
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[[],[]],[]],[]]] => 2
[[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[[],[]]]],[]]] => 2
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[[],[],[]],[]]]] => 6
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[[[],[[]]],[]]]] => 1
[[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[[],[]]],[]]]] => 2
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[[],[]],[]]]]] => 2
[[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[[],[]]]]]]] => 2
[[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[]],[],[],[],[],[]] => 120
[[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[]],[],[],[],[[]]] => 12
[[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[]],[],[],[[],[]]] => 4
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[],[],[],[[]],[]]] => 24
[[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[]],[],[],[[[]]]] => 2
[[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[]],[],[[],[],[]]] => 6
[[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[]],[],[[],[[]]]] => 1
[[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[],[],[[]],[]],[]] => 6
[[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[]],[],[[[],[]]]] => 2
[[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[],[],[[]],[],[]]] => 24
[[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [[[],[],[[]],[[]]]] => 4
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [[[],[],[[[]]],[]]] => 6
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [[[],[],[[[]],[]]]] => 2
[[[],[],[[[[]]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[]],[],[[[[]]]]] => 1
[[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[],[],[],[]]] => 24
[[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[[]],[[],[],[[]]]] => 2
[[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[[]],[[],[[],[]]]] => 2
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[]],[[]],[]]] => 4
[[[],[[]],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[[]],[[],[[[]]]]] => 1
[[[],[[],[]],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[]],[]],[],[]] => 4
[[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[[]],[[[],[],[]]]] => 6
[[[],[[],[]],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[]],[]],[[]]] => 2
[[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[[]],[[[],[[]]]]] => 1
[[[],[[],[],[]],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[]],[],[]],[]] => 6
[[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[]],[[]]],[]] => 2
[[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[[[]]],[]],[]] => 2
[[[],[[[],[]]],[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[[]],[]]],[]] => 1
[[[],[[[[]]]],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[[]],[[[[],[]]]]] => 2
[[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[]],[],[],[]]] => 24
[[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [[[],[[]],[],[[]]]] => 4
[[[],[[],[[]],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[]],[[],[]]]] => 2
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [[[],[[],[[]],[]]]] => 2
[[[],[[],[[[]]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [[[],[[]],[[[]]]]] => 1
[[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[[[]]],[],[]]] => 6
[[[],[[[]],[[]]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [[[],[[[]]],[[]]]] => 1
[[[],[[[],[]],[]]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[[]],[]],[]]] => 2
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[[[[]]]],[]]] => 2
[[[],[[[],[],[]]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[]],[],[]]]] => 2
[[[],[[[],[[]]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[[]],[[]]]]] => 2
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[[[[]]],[]]]] => 1
[[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[[[]],[]]]]] => 1
[[[],[[[[[]]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [[[]],[[[[[]]]]]] => 1
[[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[]]],[],[],[],[]] => 24
[[[[]],[],[],[[]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[]]],[],[],[[]]] => 2
[[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[[]]],[],[[],[]]] => 2
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[[[]],[],[[]],[]]] => 4
[[[[]],[],[[[]]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[[]]],[],[[[]]]] => 2
[[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[]]],[[],[],[]]] => 6
[[[[]],[[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[[]]],[[],[[]]]] => 1
[[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[]],[[]],[]],[]] => 2
[[[[]],[[[]]],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[[[]]],[[[],[]]]] => 2
[[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[[[]],[[]],[],[]]] => 4
[[[[]],[[],[[]]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[[[]],[[]],[[]]]] => 6
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[[[]],[[[]]],[]]] => 1
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[[[]],[[[]],[]]]] => 1
[[[[]],[[[[]]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [[[[]]],[[[[]]]]] => 1
[[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[]],[]],[],[],[]] => 6
[[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[]]]],[],[],[]] => 6
[[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[]],[]],[],[[]]] => 1
[[[[[]]],[],[[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[]]]],[],[[]]] => 1
[[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[[[]],[]],[[],[]]] => 2
[[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[[[[]]]],[[],[]]] => 2
[[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[[]],[]],[[]],[]] => 1
[[[[],[]],[[[]]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[[[]],[]],[[[]]]] => 1
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[[[[]]],[[]],[]]] => 1
[[[[[]]],[[[]]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [[[[[]]]],[[[]]]] => 1
[[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[]],[],[]],[],[]] => 4
[[[[],[[]]],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[]],[[]]],[],[]] => 4
[[[[[]],[]],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[]]],[]],[],[]] => 2
[[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[]],[]]],[],[]] => 2
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[]]]]],[],[]] => 2
[[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[]],[],[]],[[]]] => 2
[[[[],[[]]],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[[[]],[[]]],[[]]] => 2
[[[[[]],[]],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[]]],[]],[[]]] => 1
[[[[[],[]]],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[]],[]]],[[]]] => 1
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[]]]]],[[]]] => 1
[[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[]],[],[],[]],[]] => 6
[[[[],[],[[]]],[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[]],[],[[]]],[]] => 2
[[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[]],[[],[]]],[]] => 2
[[[[],[[],[]]],[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[[],[[]],[]]],[]] => 2
[[[[],[[[]]]],[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[[]],[[[]]]],[]] => 1
[[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[]]],[],[]],[]] => 2
[[[[[]],[[]]],[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[]]],[[]]],[]] => 1
[[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[]],[]],[]],[]] => 1
[[[[[[]]],[]],[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[]]]],[]],[]] => 1
[[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[]],[],[]]],[]] => 2
[[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[]],[[]]]],[]] => 2
[[[[[[]],[]]],[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[]]],[]]],[]] => 1
[[[[[[],[]]]],[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[]],[]]]],[]] => 1
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[]]]]]],[]] => 1
[[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[[]],[],[],[],[]]] => 24
[[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[[[]],[],[],[[]]]] => 4
[[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[[[]],[],[[],[]]]] => 2
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[],[[]],[]]]] => 6
[[[[],[],[[[]]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[[[]],[],[[[]]]]] => 1
[[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[[[]],[[],[],[]]]] => 6
[[[[],[[]],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[[[]],[[],[[]]]]] => 1
[[[[],[[],[]],[]]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [[[[],[[]],[]],[]]] => 2
[[[[],[[[]]],[]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[[[]],[[[],[]]]]] => 2
[[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [[[[],[[]],[],[]]]] => 6
[[[[],[[],[[]]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [[[[],[[]],[[]]]]] => 2
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [[[[],[[[]]],[]]]] => 2
[[[[],[[[],[]]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [[[[],[[[]],[]]]]] => 1
[[[[],[[[[]]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => [[[[]],[[[[]]]]]] => 1
[[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[[]]],[],[],[]]] => 6
[[[[[]],[],[[]]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[[[[]]],[],[[]]]] => 1
[[[[[]],[[]],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [[[[[]]],[[],[]]]] => 2
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [[[[[]],[[]],[]]]] => 2
[[[[[]],[[[]]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => [[[[[]]],[[[]]]]] => 2
[[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[[]],[]],[],[]]] => 2
[[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[[]]]],[],[]]] => 2
[[[[[],[]],[[]]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [[[[[]],[]],[[]]]] => 1
[[[[[[]]],[[]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => [[[[[[]]]],[[]]]] => 1
[[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[[]],[],[]],[]]] => 2
[[[[[],[[]]],[]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [[[[[]],[[]]],[]]] => 2
[[[[[[]],[]],[]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[[]]],[]],[]]] => 1
[[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[[]],[]]],[]]] => 1
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[[]]]]],[]]] => 1
[[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[[]],[],[],[]]]] => 6
[[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [[[[[]],[],[[]]]]] => 2
[[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [[[[[]],[[],[]]]]] => 2
[[[[[],[[],[]]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [[[[[],[[]],[]]]]] => 2
[[[[[],[[[]]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => [[[[[]],[[[]]]]]] => 1
[[[[[[]],[],[]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[[]]],[],[]]]] => 2
[[[[[[]],[[]]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => [[[[[[]]],[[]]]]] => 1
[[[[[[],[]],[]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[[]],[]],[]]]] => 1
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[[]]]],[]]]] => 1
[[[[[[],[],[]]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[[]],[],[]]]]] => 2
[[[[[[],[[]]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => [[[[[[]],[[]]]]]] => 2
[[[[[[[]],[]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[[]]],[]]]]] => 1
[[[[[[[],[]]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[[]],[]]]]]] => 1
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[[]]]]]]]] => 1
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[],[],[],[],[],[],[]] => 40320
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[],[],[],[],[],[],[[]]] => 720
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[],[],[],[],[],[[],[]]] => 240
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[],[],[],[],[],[[]],[]] => 720
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[],[],[],[],[],[[[]]]] => 120
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[],[],[],[],[[],[],[]]] => 144
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[],[],[],[],[[],[[]]]] => 24
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[],[],[],[],[[],[]],[]] => 240
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[],[],[],[],[[[],[]]]] => 48
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[],[],[],[],[[]],[],[]] => 720
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[],[],[],[],[[]],[[]]] => 48
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[],[],[],[],[[[]]],[]] => 120
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[],[],[],[],[[[]],[]]] => 24
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[],[],[],[],[[[[]]]]] => 24
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [[],[],[],[[],[],[],[]]] => 144
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [[],[],[],[[],[],[[]]]] => 12
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [[],[],[],[[],[[],[]]]] => 12
[[],[],[],[[]],[[],[]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [[],[],[],[[]],[[]],[]] => 48
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [[],[],[],[[],[[[]]]]] => 6
[[],[],[],[[],[]],[],[]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [[],[],[],[[],[]],[],[]] => 240
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [[],[],[],[[[],[],[]]]] => 36
[[],[],[],[[],[]],[[]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [[],[],[],[[],[]],[[]]] => 12
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[],[],[],[[[],[[]]]]] => 6
[[],[],[],[[],[],[]],[]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [[],[],[],[[],[],[]],[]] => 144
[[],[],[],[[],[[]]],[]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[],[],[],[[],[[]]],[]] => 24
[[],[],[],[[[]],[]],[]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [[],[],[],[[[],[]]],[]] => 48
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [[],[],[],[[[],[]],[]]] => 12
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [[],[],[],[[[[],[]]]]] => 12
[[],[],[],[[],[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [[],[],[],[[]],[],[],[]] => 720
[[],[],[],[[],[],[[]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [[],[],[],[[]],[],[[]]] => 48
[[],[],[],[[],[[]],[]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [[],[],[],[[]],[[],[]]] => 12
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [[],[],[],[[],[[]],[]]] => 12
[[],[],[],[[],[[[]]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [[],[],[],[[]],[[[]]]] => 6
[[],[],[],[[[]],[],[]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [[],[],[],[[[]]],[],[]] => 120
[[],[],[],[[[]],[[]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[],[],[],[[[]]],[[]]] => 6
[[],[],[],[[[],[]],[]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[],[],[],[[[]],[]],[]] => 24
[[],[],[],[[[[]]],[]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [[],[],[],[[[[]]]],[]] => 24
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[],[],[],[[[]],[],[]]] => 12
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [[],[],[],[[[]],[[]]]] => 12
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [[],[],[],[[[[]]],[]]] => 6
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[],[],[],[[[[]],[]]]] => 6
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [[],[],[],[[[[[]]]]]] => 6
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [[],[],[[],[],[],[],[]]] => 240
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [[],[],[[],[],[],[[]]]] => 12
[[],[],[[]],[],[[]],[]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [[],[],[[],[],[[],[]]]] => 8
[[],[],[[]],[],[[],[]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [[],[],[[]],[],[[]],[]] => 48
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [[],[],[[],[],[[[]]]]] => 4
[[],[],[[]],[[]],[],[]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [[],[],[[],[[],[],[]]]] => 12
[[],[],[[]],[[]],[[]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [[],[],[[],[[],[[]]]]] => 2
[[],[],[[]],[[],[]],[]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [[],[],[[]],[[],[]],[]] => 12
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [[],[],[[],[[[],[]]]]] => 4
[[],[],[[]],[[],[],[]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [[],[],[[]],[[]],[],[]] => 48
[[],[],[[]],[[],[[]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [[],[],[[]],[[]],[[]]] => 12
[[],[],[[]],[[[]],[]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [[],[],[[]],[[[]]],[]] => 6
[[],[],[[]],[[[],[]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [[],[],[[]],[[[]],[]]] => 2
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [[],[],[[],[[[[]]]]]] => 2
[[],[],[[],[]],[],[],[]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [[],[],[[],[]],[],[],[]] => 240
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [[],[],[[[],[],[],[]]]] => 48
[[],[],[[],[]],[],[[]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [[],[],[[],[]],[],[[]]] => 12
[[],[],[[[]]],[],[[]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [[],[],[[[],[],[[]]]]] => 4
[[],[],[[],[]],[[]],[]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [[],[],[[],[]],[[],[]]] => 16
[[],[],[[[]]],[[]],[]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [[],[],[[[],[[],[]]]]] => 4
[[],[],[[],[]],[[],[]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [[],[],[[],[]],[[]],[]] => 12
[[],[],[[],[]],[[[]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [[],[],[[],[]],[[[]]]] => 4
[[],[],[[[]]],[[],[]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [[],[],[[[]]],[[]],[]] => 6
[[],[],[[[]]],[[[]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [[],[],[[[],[[[]]]]]] => 2
[[],[],[[],[],[]],[],[]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [[],[],[[],[],[]],[],[]] => 144
[[],[],[[],[[]]],[],[]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [[],[],[[],[[]]],[],[]] => 24
[[],[],[[[]],[]],[],[]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [[],[],[[[],[]]],[],[]] => 48
[[],[],[[[],[]]],[],[]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [[],[],[[[],[]],[],[]]] => 8
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [[],[],[[[[],[],[]]]]] => 12
[[],[],[[],[],[]],[[]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [[],[],[[],[],[]],[[]]] => 12
[[],[],[[],[[]]],[[]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [[],[],[[],[[]]],[[]]] => 2
[[],[],[[[]],[]],[[]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [[],[],[[[],[]]],[[]]] => 4
[[],[],[[[],[]]],[[]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [[],[],[[[],[]],[[]]]] => 4
[[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [[],[],[[[[],[[]]]]]] => 2
[[],[],[[],[],[],[]],[]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [[],[],[[],[],[],[]],[]] => 144
[[],[],[[],[],[[]]],[]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [[],[],[[],[],[[]]],[]] => 12
[[],[],[[],[[]],[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [[],[],[[],[[],[]]],[]] => 12
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [[],[],[[],[[],[]],[]]] => 8
[[],[],[[],[[[]]]],[]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [[],[],[[],[[[]]]],[]] => 6
[[],[],[[[]],[],[]],[]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [[],[],[[[],[],[]]],[]] => 36
[[],[],[[[]],[[]]],[]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [[],[],[[[],[[]]]],[]] => 6
[[],[],[[[],[]],[]],[]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [[],[],[[[],[]],[]],[]] => 12
[[],[],[[[[]]],[]],[]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [[],[],[[[[],[]]]],[]] => 12
[[],[],[[[],[],[]]],[]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [[],[],[[[],[],[]],[]]] => 12
[[],[],[[[],[[]]]],[]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [[],[],[[[],[[]]],[]]] => 2
[[],[],[[[[]],[]]],[]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [[],[],[[[[],[]]],[]]] => 4
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [[],[],[[[[],[]],[]]]] => 4
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [[],[],[[[[[],[]]]]]] => 4
[[],[],[[],[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [[],[],[[]],[],[],[],[]] => 720
[[],[],[[],[],[],[[]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [[],[],[[]],[],[],[[]]] => 48
[[],[],[[],[],[[]],[]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [[],[],[[]],[],[[],[]]] => 12
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [[],[],[[],[],[[]],[]]] => 12
[[],[],[[],[],[[[]]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [[],[],[[]],[],[[[]]]] => 6
[[],[],[[],[[]],[],[]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [[],[],[[]],[[],[],[]]] => 12
[[],[],[[],[[]],[[]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [[],[],[[]],[[],[[]]]] => 2
[[],[],[[],[[],[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [[],[],[[],[[]],[]],[]] => 12
[[],[],[[],[[[]]],[]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [[],[],[[]],[[[],[]]]] => 4
[[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [[],[],[[],[[]],[],[]]] => 12
[[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [[],[],[[],[[]],[[]]]] => 4
[[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [[],[],[[],[[[]]],[]]] => 4
[[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [[],[],[[],[[[]],[]]]] => 2
[[],[],[[],[[[[]]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [[],[],[[]],[[[[]]]]] => 2
[[],[],[[[]],[],[],[]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [[],[],[[[]]],[],[],[]] => 120
[[],[],[[[]],[],[[]]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [[],[],[[[]]],[],[[]]] => 6
[[],[],[[[]],[[]],[]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [[],[],[[[]]],[[],[]]] => 4
[[],[],[[[]],[[],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [[],[],[[[]],[[]],[]]] => 4
[[],[],[[[]],[[[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [[],[],[[[]]],[[[]]]] => 4
[[],[],[[[],[]],[],[]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [[],[],[[[]],[]],[],[]] => 24
[[],[],[[[[]]],[],[]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [[],[],[[[[]]]],[],[]] => 24
[[],[],[[[],[]],[[]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [[],[],[[[]],[]],[[]]] => 2
[[],[],[[[[]]],[[]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [[],[],[[[[]]]],[[]]] => 2
[[],[],[[[],[],[]],[]]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[],[],[[[]],[],[]],[]] => 12
[[],[],[[[],[[]]],[]]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [[],[],[[[]],[[]]],[]] => 12
[[],[],[[[[]],[]],[]]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [[],[],[[[[]]],[]],[]] => 6
[[],[],[[[[],[]]],[]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [[],[],[[[[]],[]]],[]] => 6
[[],[],[[[[[]]]],[]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [[],[],[[[[[]]]]],[]] => 6
[[],[],[[[],[],[],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [[],[],[[[]],[],[],[]]] => 12
[[],[],[[[],[],[[]]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [[],[],[[[]],[],[[]]]] => 4
[[],[],[[[],[[]],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [[],[],[[[]],[[],[]]]] => 4
[[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [[],[],[[[],[[]],[]]]] => 4
[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [[],[],[[[]],[[[]]]]] => 2
[[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [[],[],[[[[]]],[],[]]] => 4
[[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [[],[],[[[[]]],[[]]]] => 2
[[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [[],[],[[[[]],[]],[]]] => 2
[[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [[],[],[[[[[]]]],[]]] => 2
[[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [[],[],[[[[]],[],[]]]] => 4
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [[],[],[[[[]],[[]]]]] => 4
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [[],[],[[[[[]]],[]]]] => 2
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [[],[],[[[[[]],[]]]]] => 2
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[],[],[[[[[[]]]]]]] => 2
[[],[[]],[],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [[],[[],[],[],[],[],[]]] => 720
[[],[[]],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [[],[[],[],[],[],[[]]]] => 24
[[],[[]],[],[],[[]],[]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [[],[[],[],[],[[],[]]]] => 12
[[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [[],[[]],[],[],[[]],[]] => 48
[[],[[]],[],[],[[[]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [[],[[],[],[],[[[]]]]] => 6
[[],[[]],[],[[]],[],[]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [[],[[],[],[[],[],[]]]] => 12
[[],[[]],[],[[]],[[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [[],[[],[],[[],[[]]]]] => 2
[[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [[],[[]],[],[[],[]],[]] => 12
[[],[[]],[],[[[]]],[]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [[],[[],[],[[[],[]]]]] => 4
[[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [[],[[]],[],[[]],[],[]] => 48
[[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [[],[[]],[],[[]],[[]]] => 12
[[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [[],[[]],[],[[[]]],[]] => 6
[[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[],[[]],[],[[[]],[]]] => 2
[[],[[]],[],[[[[]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [[],[[],[],[[[[]]]]]] => 2
[[],[[]],[[]],[],[],[]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [[],[[],[[],[],[],[]]]] => 24
[[],[[]],[[]],[],[[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [[],[[],[[],[],[[]]]]] => 2
[[],[[]],[[]],[[]],[]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[],[[],[[],[[],[]]]]] => 2
[[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[],[[]],[[]],[[]],[]] => 12
[[],[[]],[[]],[[[]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [[],[[],[[],[[[]]]]]] => 1
[[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [[],[[]],[[],[]],[],[]] => 12
[[],[[]],[[[]]],[],[]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [[],[[],[[[],[],[]]]]] => 6
[[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [[],[[]],[[],[]],[[]]] => 4
[[],[[]],[[[]]],[[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [[],[[],[[[],[[]]]]]] => 1
[[],[[]],[[],[],[]],[]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [[],[[]],[[],[],[]],[]] => 12
[[],[[]],[[],[[]]],[]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [[],[[]],[[],[[]]],[]] => 2
[[],[[]],[[[]],[]],[]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [[],[[]],[[[],[]]],[]] => 4
[[],[[]],[[[],[]]],[]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[],[[]],[[[],[]],[]]] => 2
[[],[[]],[[[[]]]],[]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [[],[[],[[[[],[]]]]]] => 2
[[],[[]],[[],[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [[],[[]],[[]],[],[],[]] => 48
[[],[[]],[[],[],[[]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [[],[[]],[[]],[],[[]]] => 12
[[],[[]],[[],[[]],[]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [[],[[]],[[]],[[],[]]] => 4
[[],[[]],[[],[[],[]]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [[],[[]],[[],[[]],[]]] => 2
[[],[[]],[[],[[[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [[],[[]],[[]],[[[]]]] => 2
[[],[[]],[[[]],[],[]]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [[],[[]],[[[]]],[],[]] => 6
[[],[[]],[[[]],[[]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [[],[[]],[[[]]],[[]]] => 2
[[],[[]],[[[],[]],[]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[],[[]],[[[]],[]],[]] => 2
[[],[[]],[[[[]]],[]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [[],[[]],[[[[]]]],[]] => 2
[[],[[]],[[[],[],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [[],[[]],[[[]],[],[]]] => 2
[[],[[]],[[[],[[]]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [[],[[]],[[[]],[[]]]] => 2
[[],[[]],[[[[]],[]]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [[],[[]],[[[[]]],[]]] => 1
[[],[[]],[[[[],[]]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [[],[[]],[[[[]],[]]]] => 1
[[],[[]],[[[[[]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [[],[[],[[[[[]]]]]]] => 1
[[],[[],[]],[],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[],[[],[]],[],[],[],[]] => 240
[[],[[[]]],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [[],[[[],[],[],[],[]]]] => 120
[[],[[],[]],[],[],[[]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [[],[[],[]],[],[],[[]]] => 12
[[],[[[]]],[],[],[[]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [[],[[[],[],[],[[]]]]] => 6
[[],[[],[]],[],[[]],[]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [[],[[],[]],[],[[],[]]] => 16
[[],[[[]]],[],[[]],[]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [[],[[[],[],[[],[]]]]] => 4
[[],[[],[]],[],[[],[]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [[],[[],[]],[],[[]],[]] => 12
[[],[[],[]],[],[[[]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [[],[[],[]],[],[[[]]]] => 4
[[],[[[]]],[],[[],[]]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [[],[[[]]],[],[[]],[]] => 6
[[],[[[]]],[],[[[]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [[],[[[],[],[[[]]]]]] => 2
[[],[[],[]],[[]],[],[]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [[],[[],[]],[[],[],[]]] => 12
[[],[[[]]],[[]],[],[]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [[],[[[],[[],[],[]]]]] => 6
[[],[[],[]],[[]],[[]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [[],[[],[]],[[],[[]]]] => 2
[[],[[[]]],[[]],[[]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [[],[[[],[[],[[]]]]]] => 1
[[],[[],[]],[[],[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [[],[[],[]],[[],[]],[]] => 16
[[],[[],[]],[[[]]],[]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [[],[[],[]],[[[],[]]]] => 4
[[],[[[]]],[[],[]],[]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [[],[[[]]],[[],[]],[]] => 4
[[],[[[]]],[[[]]],[]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [[],[[[],[[[],[]]]]]] => 2
[[],[[],[]],[[],[],[]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [[],[[],[]],[[]],[],[]] => 12
[[],[[],[]],[[],[[]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [[],[[],[]],[[]],[[]]] => 4
[[],[[],[]],[[[]],[]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [[],[[],[]],[[[]]],[]] => 4
[[],[[],[]],[[[],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [[],[[],[]],[[[]],[]]] => 2
[[],[[],[]],[[[[]]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [[],[[],[]],[[[[]]]]] => 2
[[],[[[]]],[[],[],[]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [[],[[[]]],[[]],[],[]] => 6
[[],[[[]]],[[],[[]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [[],[[[]]],[[]],[[]]] => 2
[[],[[[]]],[[[]],[]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [[],[[[]]],[[[]]],[]] => 4
[[],[[[]]],[[[],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [[],[[[]]],[[[]],[]]] => 1
[[],[[[]]],[[[[]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [[],[[[],[[[[]]]]]]] => 1
[[],[[],[],[]],[],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [[],[[],[],[]],[],[],[]] => 144
[[],[[],[[]]],[],[],[]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [[],[[],[[]]],[],[],[]] => 24
[[],[[[]],[]],[],[],[]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [[],[[[],[]]],[],[],[]] => 48
[[],[[[],[]]],[],[],[]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [[],[[[],[]],[],[],[]]] => 12
[[],[[[[]]]],[],[],[]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [[],[[[[],[],[],[]]]]] => 24
[[],[[],[],[]],[],[[]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [[],[[],[],[]],[],[[]]] => 12
[[],[[],[[]]],[],[[]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [[],[[],[[]]],[],[[]]] => 2
[[],[[[]],[]],[],[[]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [[],[[[],[]]],[],[[]]] => 4
[[],[[[],[]]],[],[[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [[],[[[],[]],[],[[]]]] => 2
[[],[[[[]]]],[],[[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [[],[[[[],[],[[]]]]]] => 2
[[],[[],[],[]],[[]],[]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [[],[[],[],[]],[[],[]]] => 12
[[],[[],[[]]],[[]],[]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [[],[[],[[]]],[[],[]]] => 2
[[],[[[]],[]],[[]],[]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [[],[[[],[]]],[[],[]]] => 4
[[],[[[],[]]],[[]],[]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[],[[[],[]],[[],[]]]] => 8
[[],[[[[]]]],[[]],[]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [[],[[[[],[[],[]]]]]] => 2
[[],[[],[],[]],[[],[]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [[],[[],[],[]],[[]],[]] => 12
[[],[[],[],[]],[[[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [[],[[],[],[]],[[[]]]] => 6
[[],[[],[[]]],[[],[]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [[],[[],[[]]],[[]],[]] => 2
[[],[[],[[]]],[[[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [[],[[],[[]]],[[[]]]] => 1
[[],[[[]],[]],[[],[]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [[],[[[],[]]],[[]],[]] => 4
[[],[[[]],[]],[[[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [[],[[[],[]]],[[[]]]] => 2
[[],[[[],[]]],[[],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [[],[[[],[]],[[]],[]]] => 2
[[],[[[],[]]],[[[]]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [[],[[[],[]],[[[]]]]] => 2
[[],[[[[]]]],[[],[]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [[],[[[[]]]],[[]],[]] => 2
[[],[[[[]]]],[[[]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [[],[[[[],[[[]]]]]]] => 1
[[],[[],[],[],[]],[],[]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [[],[[],[],[],[]],[],[]] => 144
[[],[[],[],[[]]],[],[]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [[],[[],[],[[]]],[],[]] => 12
[[],[[],[[]],[]],[],[]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [[],[[],[[],[]]],[],[]] => 12
[[],[[],[[],[]]],[],[]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [[],[[],[[],[]],[],[]]] => 12
[[],[[],[[[]]]],[],[]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [[],[[],[[[]]]],[],[]] => 6
[[],[[[]],[],[]],[],[]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [[],[[[],[],[]]],[],[]] => 36
[[],[[[]],[[]]],[],[]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [[],[[[],[[]]]],[],[]] => 6
[[],[[[],[]],[]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [[],[[[],[]],[],[]],[]] => 8
[[],[[[[]]],[]],[],[]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [[],[[[[],[]]]],[],[]] => 12
[[],[[[],[],[]]],[],[]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [[],[[[],[],[]],[],[]]] => 12
[[],[[[],[[]]]],[],[]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [[],[[[],[[]]],[],[]]] => 2
[[],[[[[]],[]]],[],[]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [[],[[[[],[]]],[],[]]] => 4
[[],[[[[],[]]]],[],[]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [[],[[[[],[]],[],[]]]] => 4
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [[],[[[[[],[],[]]]]]] => 6
[[],[[],[],[],[]],[[]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [[],[[],[],[],[]],[[]]] => 24
[[],[[],[],[[]]],[[]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [[],[[],[],[[]]],[[]]] => 2
[[],[[],[[]],[]],[[]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [[],[[],[[],[]]],[[]]] => 2
[[],[[],[[],[]]],[[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [[],[[],[[],[]],[[]]]] => 2
[[],[[],[[[]]]],[[]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [[],[[],[[[]]]],[[]]] => 1
[[],[[[]],[],[]],[[]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [[],[[[],[],[]]],[[]]] => 6
[[],[[[]],[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [[],[[[],[[]]]],[[]]] => 1
[[],[[[],[]],[]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [[],[[[],[]],[[]]],[]] => 4
[[],[[[[]]],[]],[[]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [[],[[[[],[]]]],[[]]] => 2
[[],[[[],[],[]]],[[]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [[],[[[],[],[]],[[]]]] => 6
[[],[[[],[[]]]],[[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [[],[[[],[[]]],[[]]]] => 1
[[],[[[[]],[]]],[[]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [[],[[[[],[]]],[[]]]] => 2
[[],[[[[],[]]]],[[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [[],[[[[],[]],[[]]]]] => 2
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [[],[[[[[],[[]]]]]]] => 1
[[],[[],[],[],[],[]],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [[],[[],[],[],[],[]],[]] => 240
[[],[[],[],[],[[]]],[]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [[],[[],[],[],[[]]],[]] => 12
[[],[[],[],[[]],[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [[],[[],[],[[],[]]],[]] => 8
[[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [[],[[],[],[[],[]],[]]] => 12
[[],[[],[],[[[]]]],[]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [[],[[],[],[[[]]]],[]] => 4
[[],[[],[[]],[],[]],[]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [[],[[],[[],[],[]]],[]] => 12
[[],[[],[[]],[[]]],[]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [[],[[],[[],[[]]]],[]] => 2
[[],[[],[[],[]],[]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [[],[[],[[],[]],[]],[]] => 8
[[],[[],[[[]]],[]],[]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [[],[[],[[[],[]]]],[]] => 4
[[],[[],[[],[],[]]],[]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [[],[[],[[],[],[]],[]]] => 12
[[],[[],[[],[[]]]],[]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [[],[[],[[],[[]]],[]]] => 2
[[],[[],[[[]],[]]],[]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [[],[[],[[[],[]]],[]]] => 4
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[],[[],[[[],[]],[]]]] => 2
[[],[[],[[[[]]]]],[]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [[],[[],[[[[]]]]],[]] => 2
[[],[[[]],[],[],[]],[]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [[],[[[],[],[],[]]],[]] => 48
[[],[[[]],[],[[]]],[]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [[],[[[],[],[[]]]],[]] => 4
[[],[[[]],[[]],[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [[],[[[],[[],[]]]],[]] => 4
[[],[[[]],[[],[]]],[]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [[],[[[]],[[],[]],[]]] => 2
[[],[[[]],[[[]]]],[]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [[],[[[],[[[]]]]],[]] => 2
[[],[[[],[]],[],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [[],[[[],[]],[]],[],[]] => 12
[[],[[[[]]],[],[]],[]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [[],[[[[],[],[]]]],[]] => 12
[[],[[[],[]],[[]]],[]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [[],[[[],[]],[]],[[]]] => 2
[[],[[[[]]],[[]]],[]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [[],[[[[],[[]]]]],[]] => 2
[[],[[[],[],[]],[]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [[],[[[],[],[]],[]],[]] => 12
[[],[[[],[[]]],[]],[]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [[],[[[],[[]]],[]],[]] => 2
[[],[[[[]],[]],[]],[]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [[],[[[[],[]]],[]],[]] => 4
[[],[[[[],[]]],[]],[]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [[],[[[[],[]],[]]],[]] => 4
[[],[[[[[]]]],[]],[]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [[],[[[[[],[]]]]],[]] => 4
[[],[[[],[],[],[]]],[]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [[],[[[],[],[],[]],[]]] => 24
[[],[[[],[],[[]]]],[]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [[],[[[],[],[[]]],[]]] => 2
[[],[[[],[[]],[]]],[]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[],[[[],[[],[]]],[]]] => 2
[[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [[],[[[],[[],[]],[]]]] => 4
[[],[[[],[[[]]]]],[]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [[],[[[],[[[]]]],[]]] => 1
[[],[[[[]],[],[]]],[]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [[],[[[[],[],[]]],[]]] => 6
[[],[[[[]],[[]]]],[]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [[],[[[[],[[]]]],[]]] => 1
[[],[[[[],[]],[]]],[]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[],[[[[],[]],[]],[]]] => 2
[[],[[[[[]]],[]]],[]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [[],[[[[[],[]]]],[]]] => 2
[[],[[[[],[],[]]]],[]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [[],[[[[],[],[]],[]]]] => 6
[[],[[[[],[[]]]]],[]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [[],[[[[],[[]]],[]]]] => 1
[[],[[[[[]],[]]]],[]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [[],[[[[[],[]]],[]]]] => 2
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [[],[[[[[],[]],[]]]]] => 2
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [[],[[[[[[],[]]]]]]] => 2
[[],[[],[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[],[[]],[],[],[],[],[]] => 720
[[],[[],[],[],[],[[]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [[],[[]],[],[],[],[[]]] => 48
[[],[[],[],[],[[]],[]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [[],[[]],[],[],[[],[]]] => 12
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [[],[[],[],[],[[]],[]]] => 24
[[],[[],[],[],[[[]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [[],[[]],[],[],[[[]]]] => 6
[[],[[],[],[[]],[],[]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [[],[[]],[],[[],[],[]]] => 12
[[],[[],[],[[]],[[]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[],[[]],[],[[],[[]]]] => 2
[[],[[],[],[[],[]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [[],[[],[],[[]],[]],[]] => 12
[[],[[],[],[[[]]],[]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [[],[[]],[],[[[],[]]]] => 4
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [[],[[],[],[[]],[],[]]] => 24
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [[],[[],[],[[]],[[]]]] => 4
[[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [[],[[],[],[[[]]],[]]] => 6
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [[],[[],[],[[[]],[]]]] => 2
[[],[[],[],[[[[]]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [[],[[]],[],[[[[]]]]] => 2
[[],[[],[[]],[],[],[]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [[],[[]],[[],[],[],[]]] => 24
[[],[[],[[]],[],[[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [[],[[]],[[],[],[[]]]] => 2
[[],[[],[[]],[[]],[]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [[],[[]],[[],[[],[]]]] => 2
[[],[[],[[]],[[],[]]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [[],[[],[[]],[[]],[]]] => 4
[[],[[],[[]],[[[]]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [[],[[]],[[],[[[]]]]] => 1
[[],[[],[[],[]],[],[]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [[],[[],[[]],[]],[],[]] => 12
[[],[[],[[[]]],[],[]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [[],[[]],[[[],[],[]]]] => 6
[[],[[],[[],[]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [[],[[],[[]],[]],[[]]] => 2
[[],[[],[[[]]],[[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [[],[[]],[[[],[[]]]]] => 1
[[],[[],[[],[],[]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [[],[[],[[]],[],[]],[]] => 12
[[],[[],[[],[[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [[],[[],[[]],[[]]],[]] => 4
[[],[[],[[[]],[]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [[],[[],[[[]]],[]],[]] => 4
[[],[[],[[[],[]]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [[],[[],[[[]],[]]],[]] => 2
[[],[[],[[[[]]]],[]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [[],[[]],[[[[],[]]]]] => 2
[[],[[],[[],[],[],[]]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [[],[[],[[]],[],[],[]]] => 24
[[],[[],[[],[],[[]]]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [[],[[],[[]],[],[[]]]] => 4
[[],[[],[[],[[]],[]]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [[],[[],[[]],[[],[]]]] => 2
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [[],[[],[[],[[]],[]]]] => 2
[[],[[],[[],[[[]]]]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [[],[[],[[]],[[[]]]]] => 1
[[],[[],[[[]],[],[]]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [[],[[],[[[]]],[],[]]] => 6
[[],[[],[[[]],[[]]]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [[],[[],[[[]]],[[]]]] => 1
[[],[[],[[[],[]],[]]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [[],[[],[[[]],[]],[]]] => 2
[[],[[],[[[[]]],[]]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [[],[[],[[[[]]]],[]]] => 2
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [[],[[],[[[]],[],[]]]] => 2
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [[],[[],[[[]],[[]]]]] => 2
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [[],[[],[[[[]]],[]]]] => 1
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [[],[[],[[[[]],[]]]]] => 1
[[],[[],[[[[[]]]]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [[],[[]],[[[[[]]]]]] => 1
[[],[[[]],[],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[],[[[]]],[],[],[],[]] => 120
[[],[[[]],[],[],[[]]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [[],[[[]]],[],[],[[]]] => 6
[[],[[[]],[],[[]],[]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [[],[[[]]],[],[[],[]]] => 4
[[],[[[]],[],[[],[]]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [[],[[[]],[],[[]],[]]] => 4
[[],[[[]],[],[[[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [[],[[[]]],[],[[[]]]] => 4
[[],[[[]],[[]],[],[]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [[],[[[]]],[[],[],[]]] => 6
[[],[[[]],[[]],[[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [[],[[[]]],[[],[[]]]] => 1
[[],[[[]],[[],[]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[],[[[]],[[]],[]],[]] => 4
[[],[[[]],[[[]]],[]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [[],[[[]]],[[[],[]]]] => 2
[[],[[[]],[[],[],[]]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [[],[[[]],[[]],[],[]]] => 4
[[],[[[]],[[],[[]]]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [[],[[[]],[[]],[[]]]] => 6
[[],[[[]],[[[]],[]]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [[],[[[]],[[[]]],[]]] => 1
[[],[[[]],[[[],[]]]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [[],[[[]],[[[]],[]]]] => 1
[[],[[[]],[[[[]]]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [[],[[[]]],[[[[]]]]] => 1
[[],[[[],[]],[],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [[],[[[]],[]],[],[],[]] => 24
[[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [[],[[[[]]]],[],[],[]] => 24
[[],[[[],[]],[],[[]]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [[],[[[]],[]],[],[[]]] => 2
[[],[[[[]]],[],[[]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [[],[[[[]]]],[],[[]]] => 2
[[],[[[],[]],[[]],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [[],[[[]],[]],[[],[]]] => 2
[[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [[],[[[[]]]],[[],[]]] => 2
[[],[[[],[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[],[[[]],[]],[[]],[]] => 2
[[],[[[],[]],[[[]]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [[],[[[]],[]],[[[]]]] => 1
[[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [[],[[[[]]],[[]],[]]] => 1
[[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [[],[[[[]]]],[[[]]]] => 1
[[],[[[],[],[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [[],[[[]],[],[]],[],[]] => 12
[[],[[[],[[]]],[],[]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [[],[[[]],[[]]],[],[]] => 12
[[],[[[[]],[]],[],[]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [[],[[[[]]],[]],[],[]] => 6
[[],[[[[],[]]],[],[]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [[],[[[[]],[]]],[],[]] => 6
[[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [[],[[[[[]]]]],[],[]] => 6
[[],[[[],[],[]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [[],[[[]],[],[]],[[]]] => 2
[[],[[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [[],[[[]],[[]]],[[]]] => 2
[[],[[[[]],[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [[],[[[[]]],[]],[[]]] => 1
[[],[[[[],[]]],[[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [[],[[[[]],[]]],[[]]] => 1
[[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [[],[[[[[]]]]],[[]]] => 1
[[],[[[],[],[],[]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [[],[[[]],[],[],[]],[]] => 12
[[],[[[],[],[[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [[],[[[]],[],[[]]],[]] => 4
[[],[[[],[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [[],[[[]],[[],[]]],[]] => 4
[[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [[],[[[],[[]],[]]],[]] => 4
[[],[[[],[[[]]]],[]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [[],[[[]],[[[]]]],[]] => 2
[[],[[[[]],[],[]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [[],[[[[]]],[],[]],[]] => 4
[[],[[[[]],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [[],[[[[]]],[[]]],[]] => 2
[[],[[[[],[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[],[[[[]],[]],[]],[]] => 2
[[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [[],[[[[[]]]],[]],[]] => 2
[[],[[[[],[],[]]],[]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [[],[[[[]],[],[]]],[]] => 4
[[],[[[[],[[]]]],[]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [[],[[[[]],[[]]]],[]] => 4
[[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [[],[[[[[]]],[]]],[]] => 2
[[],[[[[[],[]]]],[]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [[],[[[[[]],[]]]],[]] => 2
[[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [[],[[[[[[]]]]]],[]] => 2
[[],[[[],[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [[],[[[]],[],[],[],[]]] => 24
[[],[[[],[],[],[[]]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [[],[[[]],[],[],[[]]]] => 4
[[],[[[],[],[[]],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [[],[[[]],[],[[],[]]]] => 2
[[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [[],[[[],[],[[]],[]]]] => 6
[[],[[[],[],[[[]]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [[],[[[]],[],[[[]]]]] => 1
[[],[[[],[[]],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [[],[[[]],[[],[],[]]]] => 6
[[],[[[],[[]],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [[],[[[]],[[],[[]]]]] => 1
[[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [[],[[[],[[]],[]],[]]] => 2
[[],[[[],[[[]]],[]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [[],[[[]],[[[],[]]]]] => 2
[[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [[],[[[],[[]],[],[]]]] => 6
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [[],[[[],[[]],[[]]]]] => 2
[[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [[],[[[],[[[]]],[]]]] => 2
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [[],[[[],[[[]],[]]]]] => 1
[[],[[[],[[[[]]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [[],[[[]],[[[[]]]]]] => 1
[[],[[[[]],[],[],[]]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [[],[[[[]]],[],[],[]]] => 6
[[],[[[[]],[],[[]]]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [[],[[[[]]],[],[[]]]] => 1
[[],[[[[]],[[]],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [[],[[[[]]],[[],[]]]] => 2
[[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [[],[[[[]],[[]],[]]]] => 2
[[],[[[[]],[[[]]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [[],[[[[]]],[[[]]]]] => 2
[[],[[[[],[]],[],[]]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [[],[[[[]],[]],[],[]]] => 2
[[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [[],[[[[[]]]],[],[]]] => 2
[[],[[[[],[]],[[]]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [[],[[[[]],[]],[[]]]] => 1
[[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [[],[[[[[]]]],[[]]]] => 1
[[],[[[[],[],[]],[]]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [[],[[[[]],[],[]],[]]] => 2
[[],[[[[],[[]]],[]]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [[],[[[[]],[[]]],[]]] => 2
[[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [[],[[[[[]]],[]],[]]] => 1
[[],[[[[[],[]]],[]]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [[],[[[[[]],[]]],[]]] => 1
[[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [[],[[[[[[]]]]],[]]] => 1
[[],[[[[],[],[],[]]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [[],[[[[]],[],[],[]]]] => 6
[[],[[[[],[],[[]]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [[],[[[[]],[],[[]]]]] => 2
[[],[[[[],[[]],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [[],[[[[]],[[],[]]]]] => 2
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [[],[[[[],[[]],[]]]]] => 2
[[],[[[[],[[[]]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [[],[[[[]],[[[]]]]]] => 1
[[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [[],[[[[[]]],[],[]]]] => 2
[[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [[],[[[[[]]],[[]]]]] => 1
[[],[[[[[],[]],[]]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [[],[[[[[]],[]],[]]]] => 1
[[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [[],[[[[[[]]]],[]]]] => 1
[[],[[[[[],[],[]]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [[],[[[[[]],[],[]]]]] => 2
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [[],[[[[[]],[[]]]]]] => 2
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [[],[[[[[[]]],[]]]]] => 1
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [[],[[[[[[]],[]]]]]] => 1
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [[],[[[[[[[]]]]]]]] => 1
[[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[[]],[],[],[],[[]],[]] => 48
[[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[[]],[],[],[[],[]],[]] => 12
[[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[[]],[],[],[[]],[],[]] => 48
[[[]],[],[],[[],[[]]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[[]],[],[],[[]],[[]]] => 12
[[[]],[],[],[[[]],[]]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[[]],[],[],[[[]]],[]] => 6
[[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[[]],[],[],[[[]],[]]] => 2
[[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[[]],[],[[]],[[]],[]] => 12
[[[]],[],[[],[]],[],[]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[[]],[],[[],[]],[],[]] => 12
[[[]],[],[[],[]],[[]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[[]],[],[[],[]],[[]]] => 4
[[[]],[],[[],[],[]],[]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[[]],[],[[],[],[]],[]] => 12
[[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[[]],[],[[],[[]]],[]] => 2
[[[]],[],[[[]],[]],[]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[[]],[],[[[],[]]],[]] => 4
[[[]],[],[[[],[]]],[]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[[]],[],[[[],[]],[]]] => 2
[[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[[]],[],[[]],[],[],[]] => 48
[[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[[]],[],[[]],[],[[]]] => 12
[[[]],[],[[],[[]],[]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[[]],[],[[]],[[],[]]] => 4
[[[]],[],[[],[[],[]]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[[]],[],[[],[[]],[]]] => 2
[[[]],[],[[],[[[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[[]],[],[[]],[[[]]]] => 2
[[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[[]],[],[[[]]],[],[]] => 6
[[[]],[],[[[]],[[]]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[[]],[],[[[]]],[[]]] => 2
[[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[[]],[],[[[]],[]],[]] => 2
[[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[[]],[],[[[[]]]],[]] => 2
[[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[[]],[],[[[]],[],[]]] => 2
[[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[[]],[],[[[]],[[]]]] => 2
[[[]],[],[[[[]],[]]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[[]],[],[[[[]]],[]]] => 1
[[[]],[],[[[[],[]]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[[]],[],[[[[]],[]]]] => 1
[[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[[]],[[]],[],[[]],[]] => 12
[[[]],[[]],[[],[]],[]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[[]],[[]],[[],[]],[]] => 4
[[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[[]],[[]],[[]],[],[]] => 12
[[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[[]],[[]],[[]],[[]]] => 24
[[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[[]],[[]],[[[]]],[]] => 2
[[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[[]],[[]],[[[]],[]]] => 2
[[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[[]],[[],[]],[],[],[]] => 12
[[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[[]],[[],[]],[],[[]]] => 4
[[[]],[[],[]],[[]],[]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[[]],[[],[]],[[],[]]] => 8
[[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[[]],[[],[]],[[]],[]] => 4
[[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[[]],[[],[]],[[[]]]] => 2
[[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[[]],[[[]]],[[]],[]] => 2
[[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[[]],[[],[],[]],[],[]] => 12
[[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[[]],[[],[[]]],[],[]] => 2
[[[]],[[[]],[]],[],[]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[[]],[[[],[]]],[],[]] => 4
[[[]],[[[],[]]],[],[]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[[]],[[[],[]],[],[]]] => 4
[[[]],[[],[],[]],[[]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[[]],[[],[],[]],[[]]] => 12
[[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[[]],[[],[[]]],[[]]] => 2
[[[]],[[[]],[]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[[]],[[[],[]]],[[]]] => 4
[[[]],[[[],[]]],[[]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[[]],[[[],[]],[[]]]] => 2
[[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[[]],[[],[],[],[]],[]] => 24
[[[]],[[],[],[[]]],[]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[[]],[[],[],[[]]],[]] => 2
[[[]],[[],[[]],[]],[]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[[]],[[],[[],[]]],[]] => 2
[[[]],[[],[[],[]]],[]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[[]],[[],[[],[]],[]]] => 4
[[[]],[[],[[[]]]],[]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[[]],[[],[[[]]]],[]] => 1
[[[]],[[[]],[],[]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[[]],[[[],[],[]]],[]] => 6
[[[]],[[[]],[[]]],[]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[[]],[[[],[[]]]],[]] => 1
[[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[[]],[[[],[]],[]],[]] => 2
[[[]],[[[[]]],[]],[]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[[]],[[[[],[]]]],[]] => 2
[[[]],[[[],[],[]]],[]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[[]],[[[],[],[]],[]]] => 6
[[[]],[[[],[[]]]],[]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[[]],[[[],[[]]],[]]] => 1
[[[]],[[[[]],[]]],[]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[[]],[[[[],[]]],[]]] => 2
[[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[[]],[[[[],[]],[]]]] => 2
[[[]],[[],[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[[]],[[]],[],[],[],[]] => 48
[[[]],[[],[],[],[[]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[[]],[[]],[],[],[[]]] => 12
[[[]],[[],[],[[]],[]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[[]],[[]],[],[[],[]]] => 4
[[[]],[[],[],[[],[]]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[[]],[[],[],[[]],[]]] => 6
[[[]],[[],[],[[[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[[]],[[]],[],[[[]]]] => 2
[[[]],[[],[[]],[],[]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[[]],[[]],[[],[],[]]] => 12
[[[]],[[],[[]],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[[]],[[]],[[],[[]]]] => 2
[[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[[]],[[],[[]],[]],[]] => 2
[[[]],[[],[[[]]],[]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[[]],[[]],[[[],[]]]] => 4
[[[]],[[],[[],[],[]]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[[]],[[],[[]],[],[]]] => 6
[[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[[]],[[],[[]],[[]]]] => 2
[[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[[]],[[],[[[]]],[]]] => 2
[[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[[]],[[],[[[]],[]]]] => 1
[[[]],[[],[[[[]]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[[]],[[]],[[[[]]]]] => 2
[[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[[]],[[[]]],[],[],[]] => 6
[[[]],[[[]],[],[[]]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[[]],[[[]]],[],[[]]] => 2
[[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[[]],[[[]]],[[],[]]] => 2
[[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[[]],[[[]],[[]],[]]] => 2
[[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[[]],[[[]]],[[[]]]] => 2
[[[]],[[[],[]],[],[]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[[]],[[[]],[]],[],[]] => 2
[[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[[]],[[[[]]]],[],[]] => 2
[[[]],[[[],[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[[]],[[[]],[]],[[]]] => 2
[[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[[]],[[[[]]]],[[]]] => 2
[[[]],[[[],[],[]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[[]],[[[]],[],[]],[]] => 2
[[[]],[[[],[[]]],[]]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[[]],[[[]],[[]]],[]] => 2
[[[]],[[[[]],[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[[]],[[[[]]],[]],[]] => 1
[[[]],[[[[],[]]],[]]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[[]],[[[[]],[]]],[]] => 1
[[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[[]],[[[[[]]]]],[]] => 1
[[[]],[[[],[],[],[]]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[[]],[[[]],[],[],[]]] => 6
[[[]],[[[],[],[[]]]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[[]],[[[]],[],[[]]]] => 2
[[[]],[[[],[[]],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[[]],[[[]],[[],[]]]] => 2
[[[]],[[[],[[],[]]]]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[[]],[[[],[[]],[]]]] => 2
[[[]],[[[],[[[]]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[[]],[[[]],[[[]]]]] => 1
[[[]],[[[[]],[],[]]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[[]],[[[[]]],[],[]]] => 2
[[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[[]],[[[[]]],[[]]]] => 1
[[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[[]],[[[[]],[]],[]]] => 1
[[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[[]],[[[[[]]]],[]]] => 1
[[[]],[[[[],[],[]]]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[[]],[[[[]],[],[]]]] => 2
[[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[[]],[[[[]],[[]]]]] => 2
[[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[[]],[[[[[]]],[]]]] => 1
[[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[[]],[[[[[]],[]]]]] => 1
[[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[],[],[],[],[]] => 240
[[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[],[]],[],[],[],[[]]] => 12
[[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[],[]],[],[],[[],[]]] => 16
[[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[],[]],[],[],[[]],[]] => 12
[[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[],[]],[],[],[[[]]]] => 4
[[[[]]],[],[],[[],[]]] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[[]]],[],[],[[]],[]] => 6
[[[],[]],[],[[],[],[]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[],[]],[],[[]],[],[]] => 12
[[[],[]],[],[[],[[]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[],[]],[],[[]],[[]]] => 4
[[[[]]],[],[[],[],[]]] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[[]]],[],[[]],[],[]] => 6
[[[[]]],[],[[],[[]]]] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[[]]],[],[[]],[[]]] => 2
[[[],[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[]],[],[],[],[],[],[]] => 720
[[[],[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[]],[],[],[],[],[[]]] => 48
[[[],[],[],[],[[]],[]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[[]],[],[],[],[[],[]]] => 12
[[[],[],[],[],[[[]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[[]],[],[],[],[[[]]]] => 6
[[[],[],[],[[]],[],[]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[[]],[],[],[[],[],[]]] => 12
[[[],[],[],[[]],[[]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[[]],[],[],[[],[[]]]] => 2
[[[],[],[],[[[]]],[]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[[]],[],[],[[[],[]]]] => 4
[[[],[],[],[[[[]]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[[]],[],[],[[[[]]]]] => 2
[[[],[],[[]],[],[],[]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[[]],[],[[],[],[],[]]] => 24
[[[],[],[[]],[],[[]]]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[[]],[],[[],[],[[]]]] => 2
[[[],[],[[]],[[]],[]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[[]],[],[[],[[],[]]]] => 2
[[[],[],[[]],[[[]]]]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[[]],[],[[],[[[]]]]] => 1
[[[],[],[[[]]],[],[]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[[]],[],[[[],[],[]]]] => 6
[[[],[],[[[]]],[[]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[[]],[],[[[],[[]]]]] => 1
[[[],[],[[[[]]]],[]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[[]],[],[[[[],[]]]]] => 2
[[[],[],[[[[[]]]]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[[]],[],[[[[[]]]]]] => 1
[[[],[[]],[],[],[],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[[]],[[],[],[],[],[]]] => 120
[[[],[[]],[],[],[[]]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[[]],[[],[],[],[[]]]] => 6
[[[],[[]],[],[[]],[]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[[]],[[],[],[[],[]]]] => 4
[[[],[[]],[],[[[]]]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[[]],[[],[],[[[]]]]] => 2
[[[],[[]],[[]],[],[]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[[]],[[],[[],[],[]]]] => 6
[[[],[[]],[[]],[[]]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[[]],[[],[[],[[]]]]] => 1
[[[],[[]],[[[]]],[]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[[]],[[],[[[],[]]]]] => 2
[[[],[[]],[[[[]]]]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[[]],[[],[[[[]]]]]] => 1
[[[],[[[]]],[],[],[]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[[]],[[[],[],[],[]]]] => 24
[[[],[[[]]],[],[[]]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[[]],[[[],[],[[]]]]] => 2
[[[],[[[]]],[[]],[]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[[]],[[[],[[],[]]]]] => 2
[[[],[[[]]],[[[]]]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[[]],[[[],[[[]]]]]] => 1
[[[],[[[[]]]],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[[]],[[[[],[],[]]]]] => 6
[[[],[[[[]]]],[[]]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[[]],[[[[],[[]]]]]] => 1
[[[],[[[[[]]]]],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[[]],[[[[[],[]]]]]] => 2
[[[],[[[[[[]]]]]]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[[]],[[[[[[]]]]]]] => 1
[[[[]],[],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[[]]],[],[],[],[],[]] => 120
[[[[]],[],[],[],[[]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[[]]],[],[],[],[[]]] => 6
[[[[]],[],[],[[]],[]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[[]]],[],[],[[],[]]] => 4
[[[[]],[],[],[[[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[[]]],[],[],[[[]]]] => 4
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searching the database for the individual values of this statistic
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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:
1,1 3,1,0,0,0,1 5,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
$F_{2} = q$
$F_{3} = q + q^{2}$
$F_{4} = 3\ q + q^{2} + q^{6}$
$F_{5} = 5\ q + 7\ q^{2} + q^{6} + q^{24}$
$F_{6} = 13\ q + 17\ q^{2} + 3\ q^{4} + 7\ q^{6} + q^{24} + q^{120}$
$F_{7} = 35\ q + 51\ q^{2} + 12\ q^{4} + 16\ q^{6} + q^{8} + 7\ q^{12} + 8\ q^{24} + q^{120} + q^{720}$
$F_{8} = 95\ q + 152\ q^{2} + 56\ q^{4} + 56\ q^{6} + 4\ q^{8} + 26\ q^{12} + 17\ q^{24} + 4\ q^{36} + 8\ q^{48} + 9\ q^{120} + q^{720} + q^{5040}$
Description
The size of the automorphism group of the ordered tree.
Map
Zeilberger's Strahler bijection
Description
Zeilberger's Strahler bijection between ordered and binary trees.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
Map
to ordered tree: right child = right brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the right child of $y$, $x$ becomes the right brother of $y$,
- if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
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