Identifier
-
Mp00049:
Ordered trees
—to binary tree: left brother = left child⟶
Binary trees
Mp00141: Binary trees —pruning number to logarithmic height⟶ Dyck paths
St000920: Dyck paths ⟶ ℤ
Values
[[]] => [.,.] => [1,0] => 1
[[],[]] => [[.,.],.] => [1,1,0,0] => 1
[[[]]] => [.,[.,.]] => [1,0,1,0] => 1
[[],[],[]] => [[[.,.],.],.] => [1,1,0,1,0,0] => 1
[[],[[]]] => [[.,.],[.,.]] => [1,1,1,0,0,0] => 2
[[[]],[]] => [[.,[.,.]],.] => [1,1,0,0,1,0] => 1
[[[],[]]] => [.,[[.,.],.]] => [1,0,1,1,0,0] => 1
[[[[]]]] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 1
[[],[],[],[]] => [[[[.,.],.],.],.] => [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] => 2
[[[]],[],[]] => [[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => 1
[[[]],[[]]] => [[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => 2
[[[],[]],[]] => [[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => 1
[[[[]]],[]] => [[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => 1
[[[],[],[]]] => [.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => 1
[[[],[[]]]] => [.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => 2
[[[[]],[]]] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => 1
[[[[],[]]]] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => 1
[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [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] => 2
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => 2
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => 2
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => 2
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => 2
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => 2
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => 2
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => 2
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => 1
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => 2
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => 2
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => 2
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => 2
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => 1
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => 2
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => 2
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => 1
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => 2
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => 1
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => 1
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => 1
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 1
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => 2
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => 2
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => 2
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => 2
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => 1
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => 2
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => 1
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => 1
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => 1
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => 2
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => 1
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [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] => 2
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [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] => 2
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [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] => 2
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [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] => 2
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [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] => 2
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [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] => 2
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [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] => 2
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [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] => 2
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 2
>>> Load all 1594 entries. <<<[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [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] => 2
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [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] => 2
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [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] => 2
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [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] => 2
[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [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] => 2
[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.] => [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] => 2
[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [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] => 2
[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [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] => 2
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [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] => 2
[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [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] => 2
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.] => [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] => 2
[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [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] => 2
[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2
[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [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] => 2
[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[[],[[[],[],[[]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[],[]],[[[]]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[]]],[[],[]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[]]],[[[]]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[]],[[],[],[]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[[[],[]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[[[],[]],[[[]],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[[[],[]],[[[],[]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[[[],[]],[[[[]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[[[[]]],[[],[],[]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[[[[]]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[[[[]]],[[[]],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[[[[]]],[[[],[]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[[[[]]],[[[[]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[],[[]]],[],[],[]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[]],[]],[],[],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[],[]]],[],[],[]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[],[[]]],[],[[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[],[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[[[]]]],[],[[]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[]],[[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[],[[]]],[[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[]],[]],[[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[],[]]],[[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[]]]],[[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[[[],[],[]],[[[]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[[[],[[]]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]]],[[[]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[[[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[[[[],[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2
[[[[],[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[]]]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[]]]],[[[]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[],[],[[]]],[],[]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[],[[]],[]],[],[]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[],[[],[]]],[],[]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[],[[[]]]],[],[]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[]],[],[]],[],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[]],[[]]],[],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[],[]],[]],[],[]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[[[]]],[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[],[],[]]],[],[]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[],[[]]]],[],[]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[]],[]]],[],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[],[]]]],[],[]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[[[[]]]]],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[[]]],[[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[[]],[]],[[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[[],[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[[[[]],[],[]],[[]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[[]]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[[],[]],[]],[[]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[[],[],[]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[],[],[],[[]]],[]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[],[],[[]],[]],[]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[],[],[[],[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[],[],[[[]]]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[],[[]],[],[]],[]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[],[[]],[[]]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[],[[],[]],[]],[]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[]]],[]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[],[[],[],[]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[],[[],[[]]]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[],[]]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[],[[[[]]]]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[]],[],[],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[]],[],[[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[[]],[[]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[]],[[],[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[]],[[[]]]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[[],[]],[],[]],[]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[[],[],[]],[]],[]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[[],[[]]],[]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[[[]],[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[],[]]],[]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[[[[]]]],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[],[],[],[]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[],[]]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[]],[],[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[]]],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[],[[]]]]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]],[]]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[],[]]]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[]]]]]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[],[],[],[],[[]]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[],[],[],[[],[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[],[],[],[[[]]]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[],[],[[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[],[[],[]],[]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[],[],[[[]]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[],[],[[],[],[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[],[],[[],[[]]]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[],[],[[[]],[]]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[],[],[[[],[]]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[],[],[[[[]]]]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[[]],[],[[]]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[[]],[[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[],[[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]],[[[]]]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[]]],[],[]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[],[[],[]],[[]]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[],[[],[],[]],[]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[],[[],[[]]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[],[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[],[[[[]]]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[],[[],[],[],[]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[],[[],[],[[]]]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[],[[],[[]],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[],[[],[[],[]]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[],[[],[[[]]]]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[],[[[]],[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[],[[[]],[[]]]]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[],[[[],[]],[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[],[[[[]]],[]]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[],[[[],[],[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[],[[[],[[]]]]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[],[[[[]],[]]]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[],[[[[],[]]]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[],[[[[[]]]]]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[[]],[],[],[[]]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[],[[]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[]],[],[[],[]]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[[]],[],[[[]]]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[]],[[]],[[]]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[]],[[],[]],[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[]],[[[]]],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[]],[[],[],[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[]],[[],[[]]]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[[]],[[[]],[]]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[[]],[[[],[]]]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[]],[[[[]]]]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[],[]],[],[[]]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[],[[]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[[]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[],[]],[[],[]]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[[],[]],[[[]]]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[]]],[[],[]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[]]],[[[]]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[[],[]]],[],[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[[]]]],[],[]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[],[],[]],[[]]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]],[[]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[[]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]],[[]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[[],[],[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[],[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]]]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[[]],[],[]],[]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[[]],[[]]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[[],[]],[]],[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[[[[]]],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[[],[],[]]],[]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[[],[[]]]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]],[]]],[]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[[],[]]]],[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[]]]]],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[],[],[],[],[]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[[],[],[],[[]]]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[[],[],[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[[],[],[[],[]]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[[],[],[[[]]]]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[[],[[]],[],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[[],[[]],[[]]]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[[],[[],[]],[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[[],[[[]]],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[[],[[],[],[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[[],[[],[[]]]]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[[],[[[]],[]]]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[[],[[[],[]]]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[[],[[[[]]]]]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[[]],[],[],[]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[[]],[],[[]]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[[[]],[[]],[]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[[]],[[],[]]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[[]],[[[]]]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[[[],[]],[],[]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[[[[]]],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[[],[]],[[]]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[[]]],[[]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[[[],[],[]],[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[[[],[[]]],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[[[[]],[]],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[[],[]]],[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[[[[[]]]],[]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[[],[],[],[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[[],[],[[]]]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[[],[[]],[]]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[[],[[],[]]]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[[],[[[]]]]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[[]],[],[]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[[]],[[]]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[[],[]],[]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[[]]],[]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[[],[],[]]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[[],[[]]]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[[]],[]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[[],[]]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[[]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[],[],[],[],[],[],[],[]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[],[],[],[],[],[],[[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[],[],[[]],[]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[],[],[[],[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 2
[[],[],[],[],[[]],[],[]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[],[[]],[[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 2
[[],[],[],[],[[],[],[]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 2
[[],[],[],[],[[[],[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 2
[[],[],[],[[]],[],[],[]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[],[],[],[[]],[],[[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 2
[[],[],[],[[]],[[],[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 2
[[],[],[],[[]],[[[]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 2
[[],[],[],[[],[],[],[]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 2
[[],[],[],[[[],[[]]]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 2
[[],[],[[]],[],[],[],[]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[]],[],[],[[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 2
[[],[],[[]],[],[[],[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 2
[[],[],[[]],[],[[[]]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[]],[[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[],[]],[]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[[]]],[]] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[],[],[]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[[],[],[[]],[[[]],[]]] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[[],[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 2
[[],[],[[]],[[[[]]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 2
[[],[],[[],[]],[],[],[]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[[]]],[],[],[]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[[],[],[[],[]],[[],[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 2
[[],[],[[],[]],[[[]]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2
[[],[],[[[]]],[[],[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 2
[[],[],[[],[],[]],[],[]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[],[[],[[]]],[],[]] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[],[],[[[[]]]],[],[]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[[],[],[[[],[]]],[[]]] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 2
[[],[],[[],[],[],[]],[]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[[],[],[[],[],[[]]],[]] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[[],[],[[],[[]],[]],[]] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[[],[],[[],[[],[]]],[]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[[],[],[[[[[]]]]],[]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[[],[],[[],[],[],[],[]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 2
[[],[],[[],[],[],[[]]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 2
[[],[],[[],[],[[]],[]]] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 2
[[],[],[[],[],[[],[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 2
[[],[],[[],[[]],[],[]]] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 2
[[],[],[[],[[]],[[]]]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 2
[[],[],[[],[[],[]],[]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 2
[[],[],[[],[[],[],[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 2
[[],[],[[],[[],[[]]]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 2
[[],[],[[[]],[],[],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 2
[[],[],[[[[]]],[],[]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 2
[[],[],[[[[[]]]],[]]] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 2
[[],[],[[[],[],[[]]]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2
[[],[],[[[[]],[[]]]]] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 2
[[],[],[[[[],[]],[]]]] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 2
[[],[],[[[[],[],[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 2
[[],[],[[[[[[]]]]]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 2
[[],[[]],[],[],[],[],[]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[]],[],[],[],[[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2
[[],[[]],[],[],[[],[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[],[],[[[]]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 2
[[],[[]],[],[[]],[],[]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[[],[[]],[],[[]],[[]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 2
[[],[[]],[],[[],[]],[]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[],[[[]]],[]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[],[[]],[],[[],[],[]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 2
[[],[[]],[],[[],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 3
[[],[[]],[],[[[]],[]]] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 2
[[],[[]],[],[[[],[]]]] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 2
[[],[[]],[],[[[[]]]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[]],[],[],[]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[]],[[]],[],[[]]] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 2
[[],[[]],[[]],[[]],[]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[],[[]],[[]],[[],[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 2
[[],[[]],[[]],[[[]]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 2
[[],[[]],[[],[]],[],[]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[]]],[],[]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[],[]],[[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[]]],[[]]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[],[],[]],[]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[],[[]],[[],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[],[[]],[[[]],[]],[]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[],[[]],[[[],[]]],[]] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[[]]]],[]] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[],[],[],[]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2
[[],[[]],[[],[],[[]]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 3
[[],[[]],[[],[[]],[]]] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 3
[[],[[]],[[],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 3
[[],[[]],[[],[[[]]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3
[[],[[]],[[[]],[],[]]] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 2
[[],[[]],[[[]],[[]]]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 3
[[],[[]],[[[],[]],[]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[[]]],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 2
[[],[[]],[[[],[],[]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 2
[[],[[]],[[[],[[]]]]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 3
[[],[[]],[[[[]],[]]]] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 2
[[],[[]],[[[[],[]]]]] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 2
[[],[[]],[[[[[]]]]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 2
[[],[[],[]],[],[],[],[]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[[]]],[],[],[],[]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[[],[[[]]],[],[],[[]]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[]],[],[[],[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 2
[[],[[],[]],[],[[[]]]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[],[[],[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 2
[[],[[],[]],[[]],[],[]] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[]],[],[]] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[]],[[]],[[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[]],[[]]] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 2
[[],[[],[]],[[],[]],[]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[],[]],[]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[],[[],[]],[[],[],[]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 2
[[],[[],[]],[[],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 3
[[],[[],[]],[[[]],[]]] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 2
[[],[[],[]],[[[],[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 2
[[],[[],[]],[[[[]]]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 2
[[],[[[]]],[[],[],[]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 2
[[],[[[]]],[[],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 3
[[],[[[]]],[[[]],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 2
[[],[[[]]],[[[],[]]]] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 2
[[],[[[]]],[[[[]]]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 2
[[],[[],[],[]],[],[],[]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[],[],[]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[[[]]]],[],[],[]] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[[],[[[],[]]],[],[[]]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 2
[[],[[],[],[]],[[]],[]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[[]],[]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[[],[[[],[]]],[[]],[]] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[],[[],[],[]],[[],[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 2
[[],[[],[[]]],[[],[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 2
[[],[[[]],[]],[[],[]]] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 2
[[],[[[],[]]],[[],[]]] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2
[[],[[[],[]]],[[[]]]] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 2
[[],[[[[]]]],[[],[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 2
[[],[[],[],[],[]],[],[]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[[]]],[],[]] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[],[[],[[]],[]],[],[]] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[],[[],[]]],[],[]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[[[[]]]]],[],[]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[[],[[],[],[],[]],[[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[[]]],[[]]] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 2
[[],[[],[[]],[]],[[]]] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 2
[[],[[],[[],[]]],[[]]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 2
[[],[[[]],[],[]],[[]]] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 2
[[],[[[]],[[]]],[[]]] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 2
[[],[[[[]]],[]],[[]]] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 2
[[],[[[],[],[]]],[[]]] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 2
[[],[[[],[[]]]],[[]]] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2
[[],[[[[[]]]]],[[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 2
[[],[[],[],[],[],[]],[]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[],[[]]],[]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[[],[[],[],[[]],[]],[]] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[[],[[],[],[[],[]]],[]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[[],[[],[[]],[],[]],[]] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[],[[]],[[]]],[]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[],[[],[]],[]],[]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[],[[],[],[]]],[]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[],[[]]]],[]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[],[[[]],[]]],[]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[[],[[],[[[],[]]]],[]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[[],[[[]],[],[[]]],[]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[[],[[[],[[]]],[]],[]] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[[],[[[[]],[]],[]],[]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[[],[[[[],[]]],[]],[]] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[[],[[[[[]]]],[]],[]] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[[],[[[[],[]],[]]],[]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[],[[[[[[]]]]]],[]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[[],[[],[],[[]],[],[]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[],[[],[],[[],[]],[]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[],[[],[],[[],[],[]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[],[[],[],[[],[[]]]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[],[[],[[]],[],[],[]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[],[[],[[]],[[]],[]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[],[[],[[]],[[],[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[],[[],[[]],[[[]]]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[],[[],[[],[]],[],[]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[],[[],[[],[]],[[]]]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[],[[],[[],[],[]],[]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[],[[],[[],[[]]],[]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[],[[],[[],[],[],[]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[],[[],[[],[],[[]]]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[],[[],[[],[[]],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[],[[],[[],[[],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[],[[[]],[],[],[],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[[],[[[[]]],[],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[[],[[[[[]]]],[],[]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[[],[[[[[]]]],[[]]]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[],[[[],[],[[]]],[]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[],[[[[[[]]]]],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[],[[[],[],[],[[]]]]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[],[[[],[],[[[]]]]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[[],[[[],[[]],[[]]]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[],[[[[],[]],[[]]]]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[],[[[[[]]],[[]]]]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[[],[[[[[]],[[]]]]]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[],[[[[[],[],[]]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[[],[[[[[[],[]]]]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[[],[[[[[[[]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[],[],[[]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[],[[]],[],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[],[[]],[[]]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 2
[[[]],[],[],[[[]]],[]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[[[]],[],[],[[[]],[]]] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 2
[[[]],[],[[]],[],[],[]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[]],[],[[]],[],[[]]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[]],[],[[]],[[],[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 2
[[[]],[],[[]],[[[]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2
[[[]],[],[[[],[]]],[]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[]],[],[[[],[[]]]]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 2
[[[]],[],[[[[[]]]]]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[]],[[]],[],[],[],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[]],[[]],[],[],[[]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[],[[]],[]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[]],[],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[],[]],[]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[[]]],[]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[],[],[]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 3
[[[]],[[]],[[[]],[]]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 2
[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 2
[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[]],[[],[]],[[],[]]] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 2
[[[]],[[],[]],[[[]]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2
[[[]],[[[]]],[[],[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 2
[[[]],[[],[],[]],[],[]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[]],[[[[]]]],[],[]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[]],[[[],[]]],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 2
[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 2
[[[]],[[],[],[],[]],[]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[]],[[[],[],[]]],[]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[[]],[[[]],[],[],[]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[[[]],[[[]],[[[]]]]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[[[]],[[[],[],[]],[]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[[[]],[[[],[],[[]]]]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[[[]],[[[[]],[[]]]]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[[[]],[[[[],[]],[]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[[]],[[[[],[],[]]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[],[]],[],[],[],[],[]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[]]],[],[],[[]],[]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[]]],[],[[]],[],[]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[],[]],[],[[]],[[]]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 2
[[[[]]],[],[[]],[[]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 2
[[[],[]],[[]],[],[],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[]]],[[]],[],[],[]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[],[]],[[]],[],[[]]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[[]]],[[]],[],[[]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[[]]],[[]],[[]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[],[]],[[]],[[],[]]] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 2
[[[],[]],[[]],[[[]]]] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 2
[[[[]]],[[]],[[],[]]] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 2
[[[[]]],[[]],[[[]]]] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 2
[[[[]]],[[],[]],[],[]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[],[]],[[[]]],[[]]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 2
[[[[]]],[[[[]]]],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[[]]],[[],[],[],[]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[[]]],[[[]],[],[]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[[[[]]],[[[],[]],[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[[[[]]],[[[[]]],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[[[[]]],[[[[],[]]]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[[[[]]],[[[[[]]]]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[],[],[]],[],[],[],[]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[],[[]]],[],[],[],[]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[]],[]],[],[],[],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[],[]]],[],[],[],[]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[],[[]]],[],[],[[]]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[[]],[]],[],[],[[]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[],[]]],[],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[[]],[]],[],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[[]]]],[],[[]],[]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[],[[]]],[],[[],[]]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]]],[],[[[]]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[],[],[]],[[]],[],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 2
[[[],[[]]],[[]],[[]]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 2
[[[[]],[]],[[]],[[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 2
[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 2
[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[[[],[[]]],[[],[]],[]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]]],[[[]]],[]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[]]]],[[],[]],[]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[]]]],[[[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[[[],[],[]],[[[]],[]]] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[[[],[[]]],[[],[],[]]] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[[],[[]]],[[],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[[],[[]]],[[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[[],[[]]],[[[],[]]]] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[[],[[]]],[[[[]]]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[[[]],[]],[[[],[]]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[[],[]]],[[],[],[]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[[[[[]]]],[[],[[]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[[[[[]]]],[[[],[]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[],[],[[]]],[],[],[]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[],[[[]]]],[],[],[]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[]],[],[]],[],[],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[[]]],[]],[],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[],[],[]]],[],[],[]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[],[[]]]],[],[],[]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[]],[],[[]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[[]]],[],[[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[[]],[]],[],[[]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[[]],[],[]],[],[[]]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[[]]],[],[[]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[[],[]],[]],[],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[]],[],[[]]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[[],[],[]]],[],[[]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]]],[],[[]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]]],[],[[]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]]],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]]],[],[[]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[]],[[]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[[[],[]]]],[[]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]]],[[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[]],[[],[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[[[],[],[[]]],[[],[]]] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[[],[],[[]]],[[[]]]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[[],[[]],[]],[[],[]]] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]],[]],[[[]]]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[[],[[],[]]],[[],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[[],[[],[]]],[[[]]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]]],[[],[]]] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[[[]],[[]]],[[],[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[[]],[[]]],[[[]]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[[],[],[]]],[[],[]]] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[[[[],[[]]]],[[],[]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[[],[[]]]],[[[]]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[[]]]]],[[],[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[[]]]]],[[[]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[],[],[],[[]]],[],[]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[],[[]],[[]]],[],[]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[],[[],[[]]]],[],[]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]]],[],[]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[[]]]]],[],[]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[]],[[]],[]],[],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[]],[[],[]]],[],[]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[[]]],[],[]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[],[]],[[]]],[],[]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[]],[]],[]],[],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[[]]]],[]],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[],[],[],[]]],[],[]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[],[],[[]]]],[],[]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[]],[]]],[],[]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[],[]]]],[],[]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]]]]],[],[]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[]],[],[]]],[],[]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[]],[[]]]],[],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[],[]],[]]],[],[]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[]]],[]]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[],[],[]]]],[],[]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[],[[]]]]],[],[]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[],[]],[[]]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[],[[]]],[[]]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[[[],[],[[]],[]],[[]]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[[[],[],[[],[]]],[[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[[[],[[]],[],[]],[[]]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[[[],[[]],[[]]],[[]]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[[],[[],[],[]]],[[]]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[[],[[[],[]]]],[[]]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[[[]],[],[],[]],[[]]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[],[[]]],[[]]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[[]],[[]],[]],[[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[[],[]],[],[]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[],[]],[[]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[[]]],[[]]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]]],[[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[[],[],[]],[]],[[]]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]],[]],[[]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]],[]],[[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[]],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]],[]],[[]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[]]],[[]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[[],[],[[]]]],[[]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[[],[[]],[]]],[[]]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[[[]],[],[]]],[[]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[[[]],[[]]]],[[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[[[],[]],[]]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[[]]],[]]],[[]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[[[],[],[]]]],[[]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[[[],[[]]]]],[[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[[]],[]]]],[[]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[[],[]]]]],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[],[[]],[]],[]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[],[],[],[[],[]]],[]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[],[],[],[[[]]]],[]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[],[],[[]],[],[]],[]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[],[],[[]],[[]]],[]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[],[[],[]],[]],[]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[],[],[[[]]],[]],[]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[],[],[[],[[]]]],[]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[],[[]],[],[],[]],[]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[[]],[],[[]]],[]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[[]],[[]],[]],[]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[],[[]],[[],[]]],[]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]],[[[]]]],[]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[],[[],[]],[],[]],[]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[]]],[],[]],[]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[],[[],[]],[[]]],[]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]],[[]]],[]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[],[[],[],[]],[]],[]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[],[[],[[]]],[]],[]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[],[]]],[]],[]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[],[[[[]]]],[]],[]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[],[[],[],[],[]]],[]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[],[[],[],[[]]]],[]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[],[[],[[]],[]]],[]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[],[[],[[],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[],[[],[[[]]]]],[]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[],[[[]],[],[]]],[]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[],[[[]],[[]]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[],[[[],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[],[[[[]]],[]]],[]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[],[[[],[],[]]]],[]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[],[[[],[[]]]]],[]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[],[[[[]],[]]]],[]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[],[[[[[]]]]]],[]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[[]],[],[],[],[]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[[]],[],[],[[]]],[]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[],[[]],[]],[]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[]],[],[[],[]]],[]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[[]],[],[[[]]]],[]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[[]],[[]],[],[]],[]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[]],[[]],[[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[]],[[],[]],[]],[]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[]],[[[]]],[]],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[]],[[],[],[]]],[]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[]],[[],[[]]]],[]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[[]],[[[],[]]]],[]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[]],[[[[]]]]],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[],[]],[],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[],[[]]],[]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[[]],[]],[]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]],[]],[]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[],[]],[[],[]]],[]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[[],[]],[[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[]]],[[],[]]],[]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[]]],[[[]]]],[]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[[],[],[]],[],[]],[]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[[],[[]]],[],[]],[]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[[]],[]],[],[]],[]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[[],[]]],[],[]],[]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[[]]]],[],[]],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[],[],[]],[[]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]],[[]]],[]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]],[[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[]],[]],[]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[[],[],[[]]],[]],[]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[]],[]],[]],[]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[],[]]],[]],[]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]]]],[]],[]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[[]],[],[]],[]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[[]],[[]]],[]],[]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[[],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[[[[]]],[]],[]],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[[],[],[]]],[]],[]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[[],[[]]]],[]],[]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[[],[]]]],[]],[]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[]]]]],[]],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[],[],[],[],[]]],[]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[[],[],[],[[]]]],[]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[[],[],[[]],[]]],[]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[[],[],[[],[]]]],[]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[[],[[]],[],[]]],[]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[[],[[]],[[]]]],[]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[[],[[],[]],[]]],[]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[[],[[[]]],[]]],[]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[[],[[],[],[]]]],[]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[[],[[[]],[]]]],[]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[[],[[[],[]]]]],[]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[[],[[[[]]]]]],[]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[[]],[],[],[]]],[]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[[]],[],[[]]]],[]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[[[]],[[]],[]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[[]],[[],[]]]],[]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[[]],[[[]]]]],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[[[],[]],[],[]]],[]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[[[[]]],[],[]]],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[[],[]],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[[]]],[[]]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[[[],[],[]],[]]],[]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[[[],[[]]],[]]],[]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[[[[]],[]],[]]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[[],[]]],[]]],[]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[[[[[]]]],[]]],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[[],[],[],[]]]],[]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[[],[],[[]]]]],[]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[[],[[]],[]]]],[]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[[],[[],[]]]]],[]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[[],[[[]]]]]],[]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[[]],[],[]]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[[]],[[]]]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[[],[]],[]]]],[]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[[],[[]]]]]],[]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[],[],[],[],[],[[]]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[],[],[[]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[],[],[],[],[[],[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[[[],[],[],[],[[[]]]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[[[],[],[],[[]],[],[]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[],[],[],[[]],[[]]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[[[],[],[],[[],[]],[]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[],[],[],[[[]]],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[],[],[],[[],[],[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[[[],[],[],[[],[[]]]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[[[],[],[],[[[]],[]]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[[[],[],[],[[[],[]]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[[[],[],[],[[[[]]]]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[],[],[[]],[],[[]]]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[[[],[],[[]],[[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[],[],[[]],[[],[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[[[],[],[[]],[[[]]]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[[[],[],[[],[]],[],[]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[],[],[[[]]],[],[]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[],[],[[],[]],[[]]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[[[],[],[[[]]],[[]]]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[[[],[],[[],[],[]],[]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[],[],[[],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[],[],[[[]],[]],[]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[],[],[[[],[]]],[]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[],[],[[[[]]]],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[],[],[[],[],[],[]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[[[],[],[[],[],[[]]]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[[[],[],[[],[[]],[]]]] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[[[],[],[[],[[],[]]]]] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[[[],[],[[],[[[]]]]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[[[],[],[[[]],[],[]]]] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[[[],[],[[[]],[[]]]]] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[[[],[],[[[],[]],[]]]] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[[[],[],[[[[]]],[]]]] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[[[],[],[[[],[],[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[[[],[],[[[],[[]]]]]] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[[[],[],[[[[]],[]]]]] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[[[],[],[[[[],[]]]]]] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[[[],[],[[[[[]]]]]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[[[],[[]],[],[],[],[]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[[]],[],[],[[]]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[[[],[[]],[],[[]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[],[[]],[],[[],[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]],[],[[[]]]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[[[],[[]],[[]],[],[]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[],[[]],[[]],[[]]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[[[],[[]],[[],[]],[]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[],[[]],[[[]]],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[],[[]],[[],[],[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[[[],[[]],[[],[[]]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[[[],[[]],[[[]],[]]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[[[],[[]],[[[],[]]]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[[[],[[]],[[[[]]]]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[[[],[[],[]],[],[],[]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[],[[[]]],[],[],[]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[],[[],[]],[],[[]]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]],[],[[]]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[[[],[[],[]],[[]],[]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]],[[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[],[[],[]],[[],[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[[[],[[],[]],[[[]]]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[[[],[[[]]],[[],[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[[[],[[[]]],[[[]]]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[[[],[[],[],[]],[],[]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[],[[],[[]]],[],[]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]],[],[]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[],[[[],[]]],[],[]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[],[[[[]]]],[],[]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[],[[],[],[]],[[]]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[[[],[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[[[],[[[]],[]],[[]]]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[[[],[[[],[]]],[[]]]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[[[],[[[[]]]],[[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[[[],[[],[],[],[]],[]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[],[[],[],[[]]],[]]] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[],[[],[[]],[]],[]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[],[[],[[],[]]],[]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[],[[],[[[]]]],[]]] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[],[[[]],[],[]],[]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[],[[[]],[[]]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[],[[[],[]],[]],[]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[],[[[[]]],[]],[]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[],[[[],[],[]]],[]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[],[[[],[[]]]],[]]] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[],[[[[]],[]]],[]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[],[[[[],[]]]],[]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[],[[[[[]]]]],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[],[[],[],[],[],[]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[[[],[[],[],[],[[]]]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[[[],[[],[],[[]],[]]]] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[[[],[[],[],[[],[]]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[[[],[[],[],[[[]]]]]] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[[[],[[],[[]],[],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[[[],[[],[[]],[[]]]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[[[],[[],[[],[]],[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[[[],[[],[[[]]],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[[[],[[],[[],[],[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[[[],[[],[[],[[]]]]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[[[],[[],[[[]],[]]]]] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[[[],[[],[[[],[]]]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[[[],[[],[[[[]]]]]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[[[],[[[]],[],[],[]]]] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[[[],[[[]],[],[[]]]]] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[[[],[[[]],[[]],[]]]] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[[[],[[[]],[[],[]]]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[[[],[[[]],[[[]]]]]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[[[],[[[],[]],[],[]]]] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[[[],[[[[]]],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[[[],[[[],[]],[[]]]]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[[[],[[[[]]],[[]]]]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[[[],[[[],[],[]],[]]]] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[[[],[[[],[[]]],[]]]] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[[[],[[[[]],[]],[]]]] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[[[],[[[[],[]]],[]]]] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[[[],[[[[[]]]],[]]]] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[[[],[[[],[],[],[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[[[],[[[],[],[[]]]]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[[[],[[[],[[]],[]]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[[[],[[[],[[],[]]]]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[[[],[[[],[[[]]]]]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[[[],[[[[]],[],[]]]]] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[[[],[[[[]],[[]]]]]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[[[],[[[[],[]],[]]]]] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[[[],[[[[[]]],[]]]]] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[[[],[[[[],[],[]]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[[[],[[[[],[[]]]]]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[[[],[[[[[]],[]]]]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[[[],[[[[[],[]]]]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[[[],[[[[[[]]]]]]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[[[[]],[],[],[],[],[]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[[]],[],[],[],[[]]]] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[],[],[[]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[]],[],[],[[],[]]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[[[[]],[],[],[[[]]]]] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[[[[]],[],[[]],[],[]]] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[]],[],[[]],[[]]]] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[[[[]],[],[[],[]],[]]] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[[]],[],[[[]]],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[[]],[],[[],[],[]]]] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[[[[]],[],[[],[[]]]]] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[[[[]],[],[[[]],[]]]] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[[[[]],[],[[[],[]]]]] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[[[[]],[],[[[[]]]]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[[[[]],[[]],[],[],[]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[]],[[]],[],[[]]]] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[[[[]],[[]],[[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[]],[[]],[[],[]]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[[[[]],[[]],[[[]]]]] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[[[[]],[[],[]],[],[]]] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[]],[[[]]],[],[]]] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[]],[[],[]],[[]]]] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[[[[]],[[[]]],[[]]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[[[[]],[[],[],[]],[]]] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[]],[[],[[]]],[]]] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[[]],[[[]],[]],[]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[[]],[[[],[]]],[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[]],[[[[]]]],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[]],[[],[],[],[]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[[[[]],[[],[],[[]]]]] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[[[[]],[[],[[]],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[[[[]],[[],[[],[]]]]] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[[[[]],[[],[[[]]]]]] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[[[[]],[[[]],[],[]]]] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[[[[]],[[[]],[[]]]]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[[[[]],[[[],[]],[]]]] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[[[[]],[[[[]]],[]]]] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[[[[]],[[[],[],[]]]]] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[[[[]],[[[],[[]]]]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[[[[]],[[[[]],[]]]]] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[[[[]],[[[[],[]]]]]] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[[[[]],[[[[[]]]]]]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[[]]],[],[],[],[]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[],[]],[],[],[[]]]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[],[],[[]]]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[],[[]],[]]] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[],[[]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[],[[],[]]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[[[[],[]],[],[[[]]]]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[[[[[]]],[],[[],[]]]] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[[[[[]]],[],[[[]]]]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[[[[],[]],[[]],[],[]]] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]],[],[]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[],[]],[[]],[[]]]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[[[[[]]],[[]],[[]]]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[[[[],[]],[[],[]],[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[[],[]],[[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[]]],[[],[]],[]]] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[]]],[[[]]],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[[],[]],[[],[],[]]]] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[[[[],[]],[[],[[]]]]] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[[[[],[]],[[[]],[]]]] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[[[[],[]],[[[],[]]]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[[[[],[]],[[[[]]]]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[[[[[]]],[[],[],[]]]] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[[[[[]]],[[],[[]]]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[[[[[]]],[[[]],[]]]] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[[[[[]]],[[[],[]]]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[[[[[]]],[[[[]]]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[[[[],[],[]],[],[],[]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[[],[[]]],[],[],[]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[[]],[]],[],[],[]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[[],[]]],[],[],[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[[]]]],[],[],[]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[],[],[]],[],[[]]]] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]],[],[[]]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]],[],[[]]]] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[],[[]]]] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]],[],[[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[]],[[]],[]]] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[],[[]]],[[]],[]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[]],[]],[[]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[],[]]],[[]],[]]] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[]]]],[[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[]],[[],[]]]] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[[[[],[],[]],[[[]]]]] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[[[[],[[]]],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[[[[],[[]]],[[[]]]]] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[[[[[]],[]],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[[[[[]],[]],[[[]]]]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[[[[[],[]]],[[],[]]]] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2
[[[[[],[]]],[[[]]]]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[[]]]],[[],[]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[[]]]],[[[]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[[[[],[],[],[]],[],[]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[[],[],[[]]],[],[]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[[],[[]],[]],[],[]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[[],[[],[]]],[],[]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[[],[[[]]]],[],[]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[[]],[],[]],[],[]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[[]],[[]]],[],[]]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[[],[]],[]],[],[]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[[[[]]],[]],[],[]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[[],[],[]]],[],[]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[[],[[]]]],[],[]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[[]],[]]],[],[]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[[],[]]]],[],[]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[]]]]],[],[]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[],[],[],[]],[[]]]] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[[[[],[],[[]]],[[]]]] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[[[[],[[]],[]],[[]]]] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[[[[],[[],[]]],[[]]]] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[[[[],[[[]]]],[[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[[[[[]],[],[]],[[]]]] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[[[[[]],[[]]],[[]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[[[[[],[]],[]],[[]]]] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[[]]],[]],[[]]]] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[[[[[],[],[]]],[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[[[[[],[[]]]],[[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[[]],[]]],[[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[[],[]]]],[[]]]] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[[]]]]],[[]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[[[[],[],[],[],[]],[]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[[],[],[],[[]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[[],[],[[]],[]],[]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[[],[],[[],[]]],[]]] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[[],[],[[[]]]],[]]] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[[],[[]],[],[]],[]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[[],[[]],[[]]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[[],[[],[]],[]],[]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[[],[[[]]],[]],[]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[[],[[],[],[]]],[]]] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[[],[[],[[]]]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[[],[[[]],[]]],[]]] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[[],[[[],[]]]],[]]] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[[],[[[[]]]]],[]]] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[[]],[],[],[]],[]]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[[]],[],[[]]],[]]] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[[[]],[[]],[]],[]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[[]],[[],[]]],[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[[]],[[[]]]],[]]] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[[[],[]],[],[]],[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[[[[]]],[],[]],[]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[[],[]],[[]]],[]]] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[[]]],[[]]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[[[],[],[]],[]],[]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[[[],[[]]],[]],[]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[[[[]],[]],[]],[]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[[],[]]],[]],[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[[[[[]]]],[]],[]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[[],[],[],[]]],[]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[[],[],[[]]]],[]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[[],[[]],[]]],[]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[[],[[],[]]]],[]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[[],[[[]]]]],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[[]],[],[]]],[]]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[[]],[[]]]],[]]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[[],[]],[]]],[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[[]]],[]]],[]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[[],[],[]]]],[]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[[],[[]]]]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[[]],[]]]],[]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[[],[]]]]],[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[[]]]]]],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[],[],[],[],[],[]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[[[[],[],[],[],[[]]]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[[[[],[],[],[[]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[[[[],[],[],[[],[]]]]] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[[[],[],[],[[[]]]]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[[[],[],[[]],[],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[[[[],[],[[]],[[]]]]] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[[[[],[],[[],[]],[]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[[[],[],[[[]]],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[[[],[],[[],[],[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[[[],[],[[],[[]]]]]] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[[[[],[],[[[]],[]]]]] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[[[],[],[[[],[]]]]]] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[[],[],[[[[]]]]]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[[[],[[]],[],[],[]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[[[[],[[]],[],[[]]]]] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[[[[],[[]],[[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[[[[],[[]],[[],[]]]]] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[[[[],[[]],[[[]]]]]] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[[[[],[[],[]],[],[]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[[[],[[[]]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[[[[],[[],[]],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[[[],[[[]]],[[]]]]] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[[[[],[[],[],[]],[]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[[[],[[],[[]]],[]]]] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[[[[],[[[]],[]],[]]]] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[[[[],[[[],[]]],[]]]] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[[],[[[[]]]],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[[[[],[[],[],[],[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[[[],[[],[],[[]]]]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[[[[],[[],[[]],[]]]]] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[[[[],[[],[[],[]]]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[[[],[[],[[[]]]]]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[[[],[[[]],[],[]]]]] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[[[[],[[[]],[[]]]]]] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[[[[],[[[],[]],[]]]]] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[[],[[[[]]],[]]]]] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[[[[],[[[],[],[]]]]]] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[[],[[[],[[]]]]]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[[[[],[[[[]],[]]]]]] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[[[],[[[[],[]]]]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[[],[[[[[]]]]]]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[[[[[]],[],[],[],[]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[[[]],[],[],[[]]]]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[[[[[]],[],[[]],[]]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[[[[[]],[],[[],[]]]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[[[[]],[],[[[]]]]]] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[[[[]],[[]],[],[]]]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[[[[[]],[[]],[[]]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[[[[[]],[[],[]],[]]]] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[[[[]],[[[]]],[]]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[[[[[]],[[],[],[]]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[[[[]],[[],[[]]]]]] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[[[[[]],[[[]],[]]]]] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[[[[[]],[[[],[]]]]]] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[[[]],[[[[]]]]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[[[[[],[]],[],[],[]]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[[[[[[]]],[],[],[]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[[],[]],[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[[[[[[]]],[],[[]]]]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[[[[[],[]],[[]],[]]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[[[[[[]]],[[]],[]]]] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[[[[[],[]],[[],[]]]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[[[[],[]],[[[]]]]]] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[[[[[]]],[[],[]]]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[[[[[]]],[[[]]]]]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[[[[[],[],[]],[],[]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[[[[[],[[]]],[],[]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[[[[[]],[]],[],[]]]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[[[],[]]],[],[]]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[[[[[[[]]]],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[[],[],[]],[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[[[[[],[[]]],[[]]]]] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[[[[[[]],[]],[[]]]]] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[[[[[[],[]]],[[]]]]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[[[[[[[]]]],[[]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[[[[[],[],[],[]],[]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[[[[[],[],[[]]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[[[[[],[[]],[]],[]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[[[[],[[],[]]],[]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[[[],[[[]]]],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[[[[[]],[],[]],[]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[[[]],[[]]],[]]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[[[[[],[]],[]],[]]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[[[[[[[]]],[]],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[[[],[],[]]],[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[[[[[[],[[]]]],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[[[[[[]],[]]],[]]]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[[[],[]]]],[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[[]]]]],[]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[[],[],[],[],[]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[[[[[],[],[],[[]]]]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[[[[],[],[[]],[]]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[[[[],[],[[],[]]]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[[[],[],[[[]]]]]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[[[[],[[]],[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[[[[[],[[]],[[]]]]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[[[[[],[[],[]],[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[[[],[[[]]],[]]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[[[[[],[[],[],[]]]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[[[],[[],[[]]]]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[[[[],[[[]],[]]]]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[[[[[],[[[],[]]]]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[[[],[[[[]]]]]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[[[[[[]],[],[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[[[]],[],[[]]]]]] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[[[[[]],[[]],[]]]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[[[[[[]],[[],[]]]]]] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[[[[]],[[[]]]]]]] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[[[[[[],[]],[],[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[[[[[[[]]],[],[]]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[[[],[]],[[]]]]]] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[[[[[[]]],[[]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[[[[[[],[],[]],[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[[[[[[],[[]]],[]]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[[[[[[]],[]],[]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[[[],[]]],[]]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[[[[[[[[]]]],[]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[[[],[],[],[]]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[[[[[[],[],[[]]]]]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[[[[[],[[]],[]]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[[[[[[],[[],[]]]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[[[],[[[]]]]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[[[[[[[]],[],[]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[[[[]],[[]]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[[[[[[[],[]],[]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[[[[[[[[]]],[]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[[[],[],[]]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[[[[[[[],[[]]]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[[[[[],[]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[[[[[],[]],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
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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:
4,1 8,6 16,26 32,100 64,364,1
F2=q
F3=2 q
F4=4 q+q2
F5=8 q+6 q2
F6=16 q+26 q2
F7=32 q+100 q2
F8=64 q+364 q2+q3
Description
The logarithmic height of a Dyck path.
This is the floor of the binary logarithm of the usual height increased by one:
⌊log2(1+height(D))⌋
This is the floor of the binary logarithm of the usual height increased by one:
⌊log2(1+height(D))⌋
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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