Identifier
-
Mp00049:
Ordered trees
—to binary tree: left brother = left child⟶
Binary trees
Mp00141: Binary trees —pruning number to logarithmic height⟶ Dyck paths
St000676: Dyck paths ⟶ ℤ
Values
[[]] => [.,.] => [1,0] => 1
[[],[]] => [[.,.],.] => [1,1,0,0] => 1
[[[]]] => [.,[.,.]] => [1,0,1,0] => 2
[[],[],[]] => [[[.,.],.],.] => [1,1,0,1,0,0] => 1
[[],[[]]] => [[.,.],[.,.]] => [1,1,1,0,0,0] => 2
[[[]],[]] => [[.,[.,.]],.] => [1,1,0,0,1,0] => 2
[[[],[]]] => [.,[[.,.],.]] => [1,0,1,1,0,0] => 2
[[[[]]]] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 3
[[],[],[],[]] => [[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => 1
[[],[],[[]]] => [[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => 2
[[],[[]],[]] => [[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => 2
[[],[[],[]]] => [[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => 2
[[],[[[]]]] => [[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => 3
[[[]],[],[]] => [[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => 2
[[[]],[[]]] => [[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => 3
[[[],[]],[]] => [[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => 2
[[[[]]],[]] => [[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => 3
[[[],[],[]]] => [.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => 2
[[[],[[]]]] => [.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => 3
[[[[]],[]]] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => 3
[[[[],[]]]] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => 3
[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 4
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => 2
[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => 3
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => 2
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => 3
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => 2
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => 3
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => 3
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => 3
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => 3
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => 2
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => 3
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => 3
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => 3
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => 4
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => 2
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 3
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => 3
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => 4
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => 2
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => 3
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => 3
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => 3
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => 4
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => 3
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => 3
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => 3
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => 4
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => 3
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => 4
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => 3
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => 4
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => 3
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => 4
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => 4
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => 4
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 5
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 3
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 3
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 3
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 3
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 3
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 4
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 3
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 3
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 3
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 4
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 3
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 4
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => 4
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 4
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 3
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
>>> Load all 1199 entries. <<<[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 3
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 5
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 3
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 4
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 4
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => 3
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 4
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 5
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 3
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 4
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => 3
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => 4
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 3
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 4
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 4
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 5
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 4
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 4
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 5
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => 4
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => 4
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => 4
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => 4
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => 4
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 5
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 3
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 3
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 4
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 4
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 3
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 4
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 3
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 4
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 4
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 5
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 3
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 4
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 4
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 5
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 3
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 4
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 5
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 3
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 4
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 4
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 3
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 4
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 4
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 5
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 5
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 4
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 5
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => 5
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 3
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2
[[],[],[],[[[]]],[]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3
[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3
[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4
[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[[]]],[],[]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3
[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[],[[],[[]]],[]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 3
[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4
[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 3
[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 3
[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3
[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3
[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3
[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4
[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3
[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 4
[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3
[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4
[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3
[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 4
[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 4
[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 4
[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[[]]],[],[],[]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3
[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 4
[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 4
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 3
[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 4
[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5
[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[],[]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4
[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 3
[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 4
[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4
[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 5
[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 4
[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 4
[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 4
[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4
[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4
[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4
[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 5
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 5
[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 3
[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3
[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 5
[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3
[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 5
[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3
[[],[[[],[],[[]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 5
[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 5
[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 5
[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 5
[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 5
[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 5
[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3
[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4
[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3
[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4
[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 4
[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 4
[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 4
[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5
[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 4
[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 4
[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5
[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 4
[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 4
[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5
[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 5
[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5
[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 5
[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5
[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5
[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3
[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3
[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4
[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4
[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3
[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 4
[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 4
[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[[[],[]],[[[]]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[[[[]]],[[],[]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 4
[[[[]]],[[[]]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 5
[[[],[]],[[],[],[]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[[[],[]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[[[],[]],[[[]],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[[[],[]],[[[],[]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[[[],[]],[[[[]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 5
[[[[]]],[[],[],[]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[[[[]]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 5
[[[[]]],[[[]],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 5
[[[[]]],[[[],[]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 5
[[[[]]],[[[[]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6
[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[[[],[[]]],[],[],[]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[[[[]],[]],[],[],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[[[[],[]]],[],[],[]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3
[[[],[[]]],[],[[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 4
[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[[[[],[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 4
[[[[[]]]],[],[[]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5
[[[],[],[]],[[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3
[[[],[[]]],[[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4
[[[[]],[]],[[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[[[[],[]]],[[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4
[[[[[]]]],[[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5
[[[],[],[]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3
[[[],[],[]],[[[]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[[[],[[]]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 4
[[[],[[]]],[[[]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5
[[[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[[[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 5
[[[[],[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[[[[],[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 5
[[[[[]]]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 5
[[[[[]]]],[[[]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6
[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[[[],[],[[]]],[],[]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[[[],[[]],[]],[],[]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[[[],[[],[]]],[],[]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[[[],[[[]]]],[],[]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4
[[[[]],[],[]],[],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[[[[]],[[]]],[],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 4
[[[[],[]],[]],[],[]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[[[[[]]],[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4
[[[[],[],[]]],[],[]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[[[[],[[]]]],[],[]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4
[[[[[]],[]]],[],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4
[[[[[],[]]]],[],[]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4
[[[[[[]]]]],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5
[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3
[[[],[],[[]]],[[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[[[],[[]],[]],[[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[[[],[[],[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[[[],[[[]]]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 5
[[[[]],[],[]],[[]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[[[[]],[[]]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 5
[[[[],[]],[]],[[]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[[[[[]]],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 5
[[[[],[],[]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[[[[],[[]]]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 5
[[[[[]],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 5
[[[[[],[]]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 5
[[[[[[]]]]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6
[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[[[],[],[],[[]]],[]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[[[],[],[[]],[]],[]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[[[],[],[[],[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[[[],[],[[[]]]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[[[],[[]],[],[]],[]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[[[],[[]],[[]]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[[[],[[],[]],[]],[]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[[[],[[[]]],[]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4
[[[],[[],[],[]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[[[],[[],[[]]]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4
[[[],[[[]],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4
[[[],[[[],[]]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 4
[[[],[[[[]]]]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 5
[[[[]],[],[],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[[[[]],[],[[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4
[[[[]],[[]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[[[[]],[[],[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[[[[]],[[[]]]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5
[[[[],[]],[],[]],[]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[[[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4
[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 5
[[[[],[],[]],[]],[]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[[[[],[[]]],[]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 4
[[[[[]],[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4
[[[[[],[]]],[]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4
[[[[[[]]]],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 5
[[[[],[],[],[]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[[],[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[[[[],[[],[]]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 5
[[[[[]],[],[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5
[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[[[[[[]]],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5
[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[[[[[],[[]]]]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5
[[[[[[]],[]]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5
[[[[[[],[]]]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[[[[[[[]]]]]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[],[],[],[],[[]]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[[[],[],[],[[],[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[[[],[],[],[[[]]]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3
[[[],[],[[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4
[[[],[],[[],[]],[]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[[[],[],[[[]]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[[[],[],[[],[],[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[[[],[],[[],[[]]]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4
[[[],[],[[[]],[]]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[[[],[],[[[],[]]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[[[],[],[[[[]]]]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 5
[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[[[],[[]],[],[[]]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4
[[[],[[]],[[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[[[],[[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4
[[[],[[]],[[[]]]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[[[],[[[]]],[],[]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[[[],[[],[]],[[]]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4
[[[],[[[]]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5
[[[],[[],[],[]],[]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[[[],[[],[[]]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[[[],[[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[[[],[[[],[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[[[],[[[[]]]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5
[[[],[[],[],[],[]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[[[],[[],[],[[]]]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[[[],[[],[[]],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4
[[[],[[],[[],[]]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[[[],[[],[[[]]]]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5
[[[],[[[]],[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4
[[[],[[[]],[[]]]]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5
[[[],[[[],[]],[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4
[[[],[[[[]]],[]]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[[[],[[[],[],[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4
[[[],[[[],[[]]]]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[[[],[[[[]],[]]]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 5
[[[],[[[[],[]]]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5
[[[],[[[[[]]]]]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[[[[]],[],[],[[]]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[[[[]],[],[[]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[[[[]],[],[[],[]]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4
[[[[]],[],[[[]]]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5
[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4
[[[[]],[[]],[[]]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5
[[[[]],[[],[]],[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[[[[]],[[[]]],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[[[[]],[[],[],[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[[[[]],[[],[[]]]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5
[[[[]],[[[]],[]]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[[[[]],[[[],[]]]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5
[[[[]],[[[[]]]]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6
[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[[[],[]],[],[[]]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4
[[[[[]]],[],[[]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5
[[[[],[]],[[]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[[[[[]]],[[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[[[[],[]],[[],[]]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[[[[],[]],[[[]]]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5
[[[[[]]],[[],[]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[[[[[]]],[[[]]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[[[[[],[]]],[],[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[[[[[[]]]],[],[]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[[[[],[],[]],[[]]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[[[[],[[]]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[[[[[]],[]],[[]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 5
[[[[[],[]]],[[]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5
[[[[[[]]]],[[]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[[[],[],[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[[[],[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[[[[],[[],[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[[[[],[[[]]]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5
[[[[[]],[],[]],[]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[[[[[]],[[]]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5
[[[[[],[]],[]],[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[[[[[[]]],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[[[[[],[],[]]],[]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[[[[[],[[]]]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5
[[[[[[]],[]]],[]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5
[[[[[[],[]]]],[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5
[[[[[[[]]]]],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[[[[],[],[],[],[]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[[[[],[],[],[[]]]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[[[],[],[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[[[],[],[[],[]]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[[[[],[],[[[]]]]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 5
[[[[],[[]],[],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4
[[[[],[[]],[[]]]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[[[],[[],[]],[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4
[[[[],[[[]]],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[[[[],[[],[],[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4
[[[[],[[],[[]]]]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5
[[[[],[[[]],[]]]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5
[[[[],[[[],[]]]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5
[[[[],[[[[]]]]]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[[[[[]],[],[],[]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[[[[]],[],[[]]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5
[[[[[]],[[]],[]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[[[[[]],[[],[]]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[[[[[]],[[[]]]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6
[[[[[],[]],[],[]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4
[[[[[[]]],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[[[[[],[]],[[]]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5
[[[[[[]]],[[]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[[[[[],[],[]],[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4
[[[[[],[[]]],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5
[[[[[[]],[]],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[[[[[[],[]]],[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5
[[[[[[[]]]],[]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[[[[[],[],[],[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[[[[],[],[[]]]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5
[[[[[],[[]],[]]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[[[[[],[[],[]]]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[[[[[],[[[]]]]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[[[[[[]],[],[]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[[[[[[]],[[]]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[[[[[[],[]],[]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5
[[[[[[[]]],[]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[[[[[[],[],[]]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5
[[[[[[],[[]]]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[[[[[[[]],[]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[[[[[[[],[]]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[[[[[[[[]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[[[[],[],[],[]]],[],[]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[[[[],[[]],[]]],[],[]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[[[[],[[],[]]]],[],[]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[[[[],[[[]]]]],[],[]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 5
[[[[[]],[],[]]],[],[]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[[[[[]],[[]]]],[],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5
[[[[[],[]],[]]],[],[]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[[[[[[]]],[]]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5
[[[[[],[],[]]]],[],[]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[[[[[],[[]]]]],[],[]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5
[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5
[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[[[],[],[],[[]],[]],[]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[[[],[],[],[[],[]]],[]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[[[],[],[],[[[]]]],[]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[[[],[],[[]],[],[]],[]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3
[[[],[],[[]],[[]]],[]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4
[[[],[],[[],[]],[]],[]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[[[],[],[[[]]],[]],[]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[[[],[],[[],[[]]]],[]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4
[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 5
[[[],[[]],[],[],[]],[]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[[[],[[]],[],[[]]],[]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4
[[[],[[]],[[]],[]],[]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[[[],[[]],[[],[]]],[]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4
[[[],[[]],[[[]]]],[]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[[[],[[],[]],[],[]],[]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[[[],[[[]]],[],[]],[]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[[[],[[],[]],[[]]],[]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4
[[[],[[[]]],[[]]],[]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5
[[[],[[],[],[]],[]],[]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[[[],[[],[[]]],[]],[]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[[[],[[[],[]]],[]],[]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[[[],[[[[]]]],[]],[]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5
[[[],[[],[],[],[]]],[]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[[[],[[],[],[[]]]],[]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[[[],[[],[[]],[]]],[]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4
[[[],[[],[[],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[[[],[[],[[[]]]]],[]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5
[[[],[[[]],[],[]]],[]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4
[[[],[[[]],[[]]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5
[[[],[[[],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4
[[[],[[[[]]],[]]],[]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[[[],[[[],[],[]]]],[]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4
[[[],[[[],[[]]]]],[]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[[[],[[[[]],[]]]],[]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 5
[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5
[[[],[[[[[]]]]]],[]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[[[[]],[],[],[],[]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[[[[]],[],[],[[]]],[]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[[[[]],[],[[]],[]],[]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[[[[]],[],[[],[]]],[]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4
[[[[]],[],[[[]]]],[]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5
[[[[]],[[]],[],[]],[]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4
[[[[]],[[]],[[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5
[[[[]],[[],[]],[]],[]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[[[[]],[[[]]],[]],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[[[[]],[[],[],[]]],[]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[[[[]],[[],[[]]]],[]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5
[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[[[[]],[[[],[]]]],[]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5
[[[[]],[[[[]]]]],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6
[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[[[],[]],[],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4
[[[[[]]],[],[[]]],[]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5
[[[[],[]],[[]],[]],[]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[[[[[]]],[[]],[]],[]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[[[[],[]],[[],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[[[[],[]],[[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5
[[[[[]]],[[],[]]],[]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[[[[[]]],[[[]]]],[]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[[[[],[],[]],[],[]],[]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[[[],[[]]],[],[]],[]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[[[[[]],[]],[],[]],[]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[[[[[],[]]],[],[]],[]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[[[[[[]]]],[],[]],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[[[[],[],[]],[[]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[[[[],[[]]],[[]]],[]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 5
[[[[[],[]]],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5
[[[[[[]]]],[[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[[[[],[],[],[]],[]],[]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[[[],[],[[]]],[]],[]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[[[],[[]],[]],[]],[]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[[[[],[[],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[[[[],[[[]]]],[]],[]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5
[[[[[]],[],[]],[]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[[[[[]],[[]]],[]],[]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5
[[[[[],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[[[[[[]]],[]],[]],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[[[[[],[],[]]],[]],[]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[[[[[],[[]]]],[]],[]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5
[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5
[[[[[[],[]]]],[]],[]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5
[[[[[[[]]]]],[]],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[[[[],[],[],[],[]]],[]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[[[[],[],[],[[]]]],[]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[[[],[],[[]],[]]],[]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[[[],[],[[],[]]]],[]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 5
[[[[],[[]],[],[]]],[]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4
[[[[],[[]],[[]]]],[]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[[[],[[],[]],[]]],[]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4
[[[[],[[[]]],[]]],[]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[[[[],[[],[],[]]]],[]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4
[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5
[[[[],[[[]],[]]]],[]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5
[[[[],[[[],[]]]]],[]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5
[[[[],[[[[]]]]]],[]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[[[[[]],[],[],[]]],[]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[[[[]],[],[[]]]],[]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5
[[[[[]],[[]],[]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[[[[[]],[[],[]]]],[]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[[[[[]],[[[]]]]],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6
[[[[[],[]],[],[]]],[]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4
[[[[[[]]],[],[]]],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[[[[[],[]],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5
[[[[[[]]],[[]]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[[[[[],[],[]],[]]],[]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4
[[[[[],[[]]],[]]],[]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5
[[[[[[]],[]],[]]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[[[[[[],[]]],[]]],[]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5
[[[[[[[]]]],[]]],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[[[[[],[],[],[]]]],[]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[[[[],[],[[]]]]],[]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5
[[[[[],[[]],[]]]],[]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[[[[[],[[],[]]]]],[]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[[[[[],[[[]]]]]],[]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[[[[[[]],[],[]]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[[[[[[]],[[]]]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[[[[[[],[]],[]]]],[]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5
[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5
[[[[[[],[[]]]]]],[]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[],[],[],[],[],[[]]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3
[[[],[],[],[],[[]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3
[[[],[],[],[],[[],[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3
[[[],[],[],[],[[[]]]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[[[],[],[],[[]],[],[]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3
[[[],[],[],[[]],[[]]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 4
[[[],[],[],[[],[]],[]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[[[],[],[],[[[]]],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4
[[[],[],[],[[],[],[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3
[[[],[],[],[[],[[]]]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[[[],[],[],[[[]],[]]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[[[],[],[],[[[],[]]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4
[[[],[],[],[[[[]]]]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3
[[[],[],[[]],[],[[]]]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4
[[[],[],[[]],[[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 4
[[[],[],[[]],[[],[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4
[[[],[],[[]],[[[]]]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[[[],[],[[],[]],[],[]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[[[],[],[[[]]],[],[]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4
[[[],[],[[],[]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4
[[[],[],[[[]]],[[]]]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5
[[[],[],[[],[],[]],[]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[[[],[],[[],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[[[],[],[[[]],[]],[]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4
[[[],[],[[[],[]]],[]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4
[[[],[],[[[[]]]],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 5
[[[],[],[[],[],[],[]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 3
[[[],[],[[],[],[[]]]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[[[],[],[[],[[]],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[[[],[],[[],[[],[]]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[[[],[],[[],[[[]]]]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[[[],[],[[[]],[],[]]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4
[[[],[],[[[]],[[]]]]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[[[],[],[[[],[]],[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 4
[[[],[],[[[[]]],[]]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[[[],[],[[[],[],[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 4
[[[],[],[[[],[[]]]]]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[[[],[],[[[[]],[]]]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[[[],[],[[[[],[]]]]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[[[],[],[[[[[]]]]]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6
[[[],[[]],[],[],[],[]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[[[],[[]],[],[],[[]]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4
[[[],[[]],[],[[]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4
[[[],[[]],[],[[],[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 4
[[[],[[]],[],[[[]]]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[[[],[[]],[[]],[],[]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4
[[[],[[]],[[]],[[]]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 5
[[[],[[]],[[],[]],[]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 4
[[[],[[]],[[[]]],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5
[[[],[[]],[[],[],[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4
[[[],[[]],[[],[[]]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5
[[[],[[]],[[[]],[]]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5
[[[],[[]],[[[],[]]]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5
[[[],[[]],[[[[]]]]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 6
[[[],[[],[]],[],[],[]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[[[],[[[]]],[],[],[]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 4
[[[],[[],[]],[],[[]]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4
[[[],[[[]]],[],[[]]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[[[],[[],[]],[[]],[]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4
[[[],[[[]]],[[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5
[[[],[[],[]],[[],[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 4
[[[],[[],[]],[[[]]]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 5
[[[],[[[]]],[[],[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 5
[[[],[[[]]],[[[]]]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[[[],[[],[],[]],[],[]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[[[],[[],[[]]],[],[]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4
[[[],[[[]],[]],[],[]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4
[[[],[[[],[]]],[],[]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4
[[[],[[[[]]]],[],[]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 5
[[[],[[],[],[]],[[]]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4
[[[],[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5
[[[],[[[]],[]],[[]]]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5
[[[],[[[],[]]],[[]]]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[[[],[[[[]]]],[[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[[[],[[],[],[],[]],[]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[[[],[[],[],[[]]],[]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[[[],[[],[[]],[]],[]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4
[[[],[[],[[],[]]],[]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 4
[[[],[[],[[[]]]],[]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5
[[[],[[[]],[],[]],[]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 4
[[[],[[[]],[[]]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[[[],[[[],[]],[]],[]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4
[[[],[[[[]]],[]],[]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[[[],[[[],[],[]]],[]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4
[[[],[[[],[[]]]],[]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5
[[[],[[[[]],[]]],[]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5
[[[],[[[[],[]]]],[]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5
[[[],[[[[[]]]]],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 6
[[[],[[],[],[],[],[]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[[[],[[],[],[],[[]]]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[[[],[[],[],[[]],[]]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[[[],[[],[],[[],[]]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[[[],[[],[],[[[]]]]]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 5
[[[],[[],[[]],[],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4
[[[],[[],[[]],[[]]]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5
[[[],[[],[[],[]],[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[[[],[[],[[[]]],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 5
[[[],[[],[[],[],[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[[[],[[],[[],[[]]]]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5
[[[],[[],[[[]],[]]]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5
[[[],[[],[[[],[]]]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5
[[[],[[],[[[[]]]]]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 6
[[[],[[[]],[],[],[]]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[[[],[[[]],[],[[]]]]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 5
[[[],[[[]],[[]],[]]]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 5
[[[],[[[]],[[],[]]]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 5
[[[],[[[]],[[[]]]]]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6
[[[],[[[],[]],[],[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[[[],[[[[]]],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[[],[[[],[]],[[]]]]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 5
[[[],[[[[]]],[[]]]]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 6
[[[],[[[],[],[]],[]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[[[],[[[],[[]]],[]]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5
[[[],[[[[]],[]],[]]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5
[[[],[[[[],[]]],[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5
[[[],[[[[[]]]],[]]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6
[[[],[[[],[],[],[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[[[],[[[],[],[[]]]]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[[[],[[[],[[]],[]]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 5
[[[],[[[],[[],[]]]]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5
[[[],[[[],[[[]]]]]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6
[[[],[[[[]],[],[]]]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 5
[[[],[[[[]],[[]]]]]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 6
[[[],[[[[],[]],[]]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5
[[[],[[[[[]]],[]]]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 6
[[[],[[[[],[],[]]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 5
[[[],[[[[],[[]]]]]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 6
[[[],[[[[[]],[]]]]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 6
[[[],[[[[[],[]]]]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 6
[[[],[[[[[[]]]]]]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 7
[[[[]],[],[],[],[],[]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[[[[]],[],[],[],[[]]]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[[[[]],[],[],[[]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[[[[]],[],[],[[],[]]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[[[[]],[],[],[[[]]]]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[[[[]],[],[[]],[],[]]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[[[[]],[],[[]],[[]]]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 5
[[[[]],[],[[],[]],[]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[[[[]],[],[[[]]],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 5
[[[[]],[],[[],[],[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4
[[[[]],[],[[],[[]]]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[[[[]],[],[[[]],[]]]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[[[[]],[],[[[],[]]]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[[[[]],[],[[[[]]]]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 6
[[[[]],[[]],[],[],[]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 4
[[[[]],[[]],[],[[]]]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[[[[]],[[]],[[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5
[[[[]],[[]],[[],[]]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 5
[[[[]],[[]],[[[]]]]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6
[[[[]],[[],[]],[],[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4
[[[[]],[[[]]],[],[]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 5
[[[[]],[[],[]],[[]]]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 5
[[[[]],[[[]]],[[]]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[[[[]],[[],[],[]],[]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 4
[[[[]],[[],[[]]],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5
[[[[]],[[[]],[]],[]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 5
[[[[]],[[[],[]]],[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 5
[[[[]],[[[[]]]],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6
[[[[]],[[],[],[],[]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[[[[]],[[],[],[[]]]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 5
[[[[]],[[],[[]],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 5
[[[[]],[[],[[],[]]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 5
[[[[]],[[],[[[]]]]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6
[[[[]],[[[]],[],[]]]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 5
[[[[]],[[[]],[[]]]]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6
[[[[]],[[[],[]],[]]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 5
[[[[]],[[[[]]],[]]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[[[[]],[[[],[],[]]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5
[[[[]],[[[],[[]]]]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 6
[[[[]],[[[[]],[]]]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 6
[[[[]],[[[[],[]]]]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 6
[[[[]],[[[[[]]]]]]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 7
[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[[[[[]]],[],[],[],[]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[[[[],[]],[],[],[[]]]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[[[[[]]],[],[],[[]]]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[[[[],[]],[],[[]],[]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4
[[[[[]]],[],[[]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 5
[[[[],[]],[],[[],[]]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[[[[],[]],[],[[[]]]]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[[[[[]]],[],[[],[]]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[[[[[]]],[],[[[]]]]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 6
[[[[],[]],[[]],[],[]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4
[[[[[]]],[[]],[],[]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5
[[[[],[]],[[]],[[]]]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 5
[[[[[]]],[[]],[[]]]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[[[[],[]],[[],[]],[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[[[[],[]],[[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 5
[[[[[]]],[[],[]],[]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 5
[[[[[]]],[[[]]],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6
[[[[],[]],[[],[],[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[[[[],[]],[[],[[]]]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 5
[[[[],[]],[[[]],[]]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 5
[[[[],[]],[[[],[]]]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 5
[[[[],[]],[[[[]]]]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 6
[[[[[]]],[[],[],[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 5
[[[[[]]],[[],[[]]]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6
[[[[[]]],[[[]],[]]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6
[[[[[]]],[[[],[]]]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6
[[[[[]]],[[[[]]]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 7
[[[[],[],[]],[],[],[]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[[[[],[[]]],[],[],[]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4
[[[[[]],[]],[],[],[]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[[[[[],[]]],[],[],[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4
[[[[[[]]]],[],[],[]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5
[[[[],[],[]],[],[[]]]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[[[[],[[]]],[],[[]]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[[[[[]],[]],[],[[]]]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[[[[[],[]]],[],[[]]]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5
[[[[[[]]]],[],[[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 6
[[[[],[],[]],[[]],[]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[[[[],[[]]],[[]],[]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 5
[[[[[]],[]],[[]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 5
[[[[[],[]]],[[]],[]]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 5
[[[[[[]]]],[[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6
[[[[],[],[]],[[],[]]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[[[[],[],[]],[[[]]]]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 5
[[[[],[[]]],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 5
[[[[],[[]]],[[[]]]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 6
[[[[[]],[]],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 5
[[[[[]],[]],[[[]]]]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 6
[[[[[],[]]],[[],[]]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 5
[[[[[],[]]],[[[]]]]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 6
[[[[[[]]]],[[],[]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 6
[[[[[[]]]],[[[]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 7
[[[[],[],[],[]],[],[]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[[[[],[],[[]]],[],[]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[[[[],[[]],[]],[],[]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4
[[[[],[[],[]]],[],[]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4
[[[[],[[[]]]],[],[]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5
[[[[[]],[],[]],[],[]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[[[[[]],[[]]],[],[]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 5
[[[[[],[]],[]],[],[]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4
[[[[[[]]],[]],[],[]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 5
[[[[[],[],[]]],[],[]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4
[[[[[],[[]]]],[],[]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5
[[[[[[]],[]]],[],[]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 5
[[[[[[],[]]]],[],[]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5
[[[[[[[]]]]],[],[]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[[[[],[],[],[]],[[]]]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[[[[],[],[[]]],[[]]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 5
[[[[],[[]],[]],[[]]]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 5
[[[[],[[],[]]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5
[[[[],[[[]]]],[[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 6
[[[[[]],[],[]],[[]]]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 5
[[[[[]],[[]]],[[]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 6
[[[[[],[]],[]],[[]]]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 5
[[[[[[]]],[]],[[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 6
[[[[[],[],[]]],[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 5
[[[[[],[[]]]],[[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 6
[[[[[[]],[]]],[[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 6
[[[[[[],[]]]],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 6
[[[[[[[]]]]],[[]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7
[[[[],[],[],[],[]],[]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[[[[],[],[],[[]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[[[[],[],[[]],[]],[]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4
[[[[],[],[[],[]]],[]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4
[[[[],[],[[[]]]],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
[[[[],[[]],[],[]],[]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[[[[],[[]],[[]]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[[[[],[[],[]],[]],[]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4
[[[[],[[[]]],[]],[]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5
[[[[],[[],[],[]]],[]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 4
[[[[],[[],[[]]]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5
[[[[],[[[]],[]]],[]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5
[[[[],[[[],[]]]],[]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
[[[[],[[[[]]]]],[]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 6
[[[[[]],[],[],[]],[]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[[[[[]],[],[[]]],[]]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 5
[[[[[]],[[]],[]],[]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[[[[[]],[[],[]]],[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[[[[[]],[[[]]]],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 6
[[[[[],[]],[],[]],[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4
[[[[[[]]],[],[]],[]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 5
[[[[[],[]],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 5
[[[[[[]]],[[]]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6
[[[[[],[],[]],[]],[]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4
[[[[[],[[]]],[]],[]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
[[[[[[]],[]],[]],[]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
[[[[[[],[]]],[]],[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 5
[[[[[[[]]]],[]],[]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 6
[[[[[],[],[],[]]],[]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[[[[[],[],[[]]]],[]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[[[[[],[[]],[]]],[]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5
[[[[[],[[],[]]]],[]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5
[[[[[],[[[]]]]],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 6
[[[[[[]],[],[]]],[]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 5
[[[[[[]],[[]]]],[]]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6
[[[[[[],[]],[]]],[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5
[[[[[[[]]],[]]],[]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 6
[[[[[[],[],[]]]],[]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5
[[[[[[],[[]]]]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 6
[[[[[[[]],[]]]],[]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 6
[[[[[[[],[]]]]],[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6
[[[[[[[[]]]]]],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[[[[],[],[],[],[],[]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[[[[],[],[],[],[[]]]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[[[[],[],[],[[]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[[[[],[],[],[[],[]]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[[[[],[],[],[[[]]]]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 5
[[[[],[],[[]],[],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[[[[],[],[[]],[[]]]]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5
[[[[],[],[[],[]],[]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4
[[[[],[],[[[]]],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 5
[[[[],[],[[],[],[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[[[[],[],[[],[[]]]]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 5
[[[[],[],[[[]],[]]]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5
[[[[],[],[[[],[]]]]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 5
[[[[],[],[[[[]]]]]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[[[],[[]],[],[],[]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4
[[[[],[[]],[],[[]]]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5
[[[[],[[]],[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5
[[[[],[[]],[[],[]]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 5
[[[[],[[]],[[[]]]]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6
[[[[],[[],[]],[],[]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4
[[[[],[[[]]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[[[[],[[],[]],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5
[[[[],[[[]]],[[]]]]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
[[[[],[[],[],[]],[]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4
[[[[],[[],[[]]],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5
[[[[],[[[]],[]],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5
[[[[],[[[],[]]],[]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5
[[[[],[[[[]]]],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 6
[[[[],[[],[],[],[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4
[[[[],[[],[],[[]]]]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 5
[[[[],[[],[[]],[]]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5
[[[[],[[],[[],[]]]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5
[[[[],[[],[[[]]]]]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[[[[],[[[]],[],[]]]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5
[[[[],[[[]],[[]]]]]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6
[[[[],[[[],[]],[]]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5
[[[[],[[[[]]],[]]]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6
[[[[],[[[],[],[]]]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5
[[[[],[[[],[[]]]]]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
[[[[],[[[[]],[]]]]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
[[[[],[[[[],[]]]]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 6
[[[[],[[[[[]]]]]]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 7
[[[[[]],[],[],[],[]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[[[[]],[],[],[[]]]]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 5
[[[[[]],[],[[]],[]]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 5
[[[[[]],[],[[],[]]]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 5
[[[[[]],[],[[[]]]]]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 6
[[[[[]],[[]],[],[]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5
[[[[[]],[[]],[[]]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6
[[[[[]],[[],[]],[]]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5
[[[[[]],[[[]]],[]]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6
[[[[[]],[[],[],[]]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 5
[[[[[]],[[],[[]]]]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6
[[[[[]],[[[]],[]]]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[[[[]],[[[],[]]]]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6
[[[[[]],[[[[]]]]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 7
[[[[[],[]],[],[],[]]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4
[[[[[[]]],[],[],[]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 5
[[[[[],[]],[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 5
[[[[[[]]],[],[[]]]]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 6
[[[[[],[]],[[]],[]]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5
[[[[[[]]],[[]],[]]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6
[[[[[],[]],[[],[]]]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 5
[[[[[],[]],[[[]]]]]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 6
[[[[[[]]],[[],[]]]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6
[[[[[[]]],[[[]]]]]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 7
[[[[[],[],[]],[],[]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4
[[[[[],[[]]],[],[]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5
[[[[[[]],[]],[],[]]]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 5
[[[[[[],[]]],[],[]]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5
[[[[[[[]]]],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6
[[[[[],[],[]],[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 5
[[[[[],[[]]],[[]]]]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 6
[[[[[[]],[]],[[]]]]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 6
[[[[[[],[]]],[[]]]]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 6
[[[[[[[]]]],[[]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 7
[[[[[],[],[],[]],[]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[[[[[],[],[[]]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 5
[[[[[],[[]],[]],[]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5
[[[[[],[[],[]]],[]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5
[[[[[],[[[]]]],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
[[[[[[]],[],[]],[]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5
[[[[[[]],[[]]],[]]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 6
[[[[[[],[]],[]],[]]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[[[[[[[]]],[]],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 6
[[[[[[],[],[]]],[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5
[[[[[[],[[]]]],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 6
[[[[[[[]],[]]],[]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 6
[[[[[[[],[]]]],[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 6
[[[[[[[[]]]]],[]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[[[[[],[],[],[],[]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[[[[],[],[],[[]]]]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 5
[[[[[],[],[[]],[]]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5
[[[[[],[],[[],[]]]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5
[[[[[],[],[[[]]]]]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6
[[[[[],[[]],[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[[[[[],[[]],[[]]]]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[[[[[],[[],[]],[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5
[[[[[],[[[]]],[]]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 6
[[[[[],[[],[],[]]]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5
[[[[[],[[],[[]]]]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6
[[[[[],[[[]],[]]]]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 6
[[[[[],[[[],[]]]]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 6
[[[[[],[[[[]]]]]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 7
[[[[[[]],[],[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5
[[[[[[]],[],[[]]]]]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 6
[[[[[[]],[[]],[]]]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6
[[[[[[]],[[],[]]]]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6
[[[[[[]],[[[]]]]]]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 7
[[[[[[],[]],[],[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 5
[[[[[[[]]],[],[]]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6
[[[[[[],[]],[[]]]]]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 6
[[[[[[[]]],[[]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 7
[[[[[[],[],[]],[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5
[[[[[[],[[]]],[]]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 6
[[[[[[[]],[]],[]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 6
[[[[[[[],[]]],[]]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6
[[[[[[[[]]]],[]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[[[[[[],[],[],[]]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5
[[[[[[],[],[[]]]]]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[[[[[[],[[]],[]]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6
[[[[[[],[[],[]]]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6
[[[[[[],[[[]]]]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 7
[[[[[[[]],[],[]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[[[[[[[]],[[]]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 7
[[[[[[[],[]],[]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6
[[[[[[[[]]],[]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[[[[[[[],[],[]]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[[[[[[[],[[]]]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7
[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[[[[[[[[],[]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7
[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
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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 1,3,1 1,6,6,1 1,10,20,10,1 1,15,50,50,15,1 1,21,105,175,105,21,1
$F_{2} = q$
$F_{3} = q + q^{2}$
$F_{4} = q + 3\ q^{2} + q^{3}$
$F_{5} = q + 6\ q^{2} + 6\ q^{3} + q^{4}$
$F_{6} = q + 10\ q^{2} + 20\ q^{3} + 10\ q^{4} + q^{5}$
$F_{7} = q + 15\ q^{2} + 50\ q^{3} + 50\ q^{4} + 15\ q^{5} + q^{6}$
$F_{8} = q + 21\ q^{2} + 105\ q^{3} + 175\ q^{4} + 105\ q^{5} + 21\ q^{6} + q^{7}$
Description
The number of odd rises of a Dyck path.
This is the number of ones at an odd position, with the initial position equal to 1.
The number of Dyck paths of semilength $n$ with $k$ up steps in odd positions and $k$ returns to the main diagonal are counted by the binomial coefficient $\binom{n-1}{k-1}$ [3,4].
This is the number of ones at an odd position, with the initial position equal to 1.
The number of Dyck paths of semilength $n$ with $k$ up steps in odd positions and $k$ returns to the main diagonal are counted by the binomial coefficient $\binom{n-1}{k-1}$ [3,4].
Map
to binary tree: left brother = left child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
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