Identifier
-
Mp00029:
Dyck paths
—to binary tree: left tree, up step, right tree, down step⟶
Binary trees
Mp00009: Binary trees —left rotate⟶ Binary trees
St000414: Binary trees ⟶ ℤ
Values
[1,0,1,0] => [[.,.],.] => [.,[.,.]] => 1
[1,1,0,0] => [.,[.,.]] => [[.,.],.] => 1
[1,0,1,0,1,0] => [[[.,.],.],.] => [.,[[.,.],.]] => 2
[1,0,1,1,0,0] => [[.,.],[.,.]] => [[[.,.],.],.] => 2
[1,1,0,0,1,0] => [[.,[.,.]],.] => [.,[.,[.,.]]] => 2
[1,1,0,1,0,0] => [.,[[.,.],.]] => [[.,[.,.]],.] => 2
[1,1,1,0,0,0] => [.,[.,[.,.]]] => [[.,.],[.,.]] => 0
[1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => [.,[[[.,.],.],.]] => 3
[1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => [[[[.,.],.],.],.] => 3
[1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => [.,[[.,.],[.,.]]] => 1
[1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => [[[.,.],[.,.]],.] => 1
[1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => [[[.,.],.],[.,.]] => 2
[1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => [.,[[.,[.,.]],.]] => 3
[1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => [[[.,[.,.]],.],.] => 3
[1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => [.,[.,[[.,.],.]]] => 3
[1,1,0,1,0,1,0,0] => [.,[[[.,.],.],.]] => [[.,[[.,.],.]],.] => 3
[1,1,0,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [[.,[.,.]],[.,.]] => 2
[1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => [.,[.,[.,[.,.]]]] => 3
[1,1,1,0,0,1,0,0] => [.,[[.,[.,.]],.]] => [[.,[.,[.,.]]],.] => 3
[1,1,1,0,1,0,0,0] => [.,[.,[[.,.],.]]] => [[.,.],[[.,.],.]] => 2
[1,1,1,1,0,0,0,0] => [.,[.,[.,[.,.]]]] => [[.,.],[.,[.,.]]] => 2
[1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => [.,[[[[.,.],.],.],.]] => 4
[1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => [[[[[.,.],.],.],.],.] => 4
[1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => [.,[[[.,.],.],[.,.]]] => 3
[1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [[[[.,.],.],[.,.]],.] => 3
[1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => [[[[.,.],.],.],[.,.]] => 3
[1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => [.,[[[.,.],[.,.]],.]] => 2
[1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => [[[[.,.],[.,.]],.],.] => 2
[1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => [.,[[.,.],[[.,.],.]]] => 3
[1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [[[.,.],[[.,.],.]],.] => 3
[1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,.]] => 1
[1,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [.,[[.,.],[.,[.,.]]]] => 3
[1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => [[[.,.],[.,[.,.]]],.] => 3
[1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => [[[.,.],.],[[.,.],.]] => 2
[1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => [[[.,.],.],[.,[.,.]]] => 2
[1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => [.,[[[.,[.,.]],.],.]] => 4
[1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => [[[[.,[.,.]],.],.],.] => 4
[1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => [.,[[.,[.,.]],[.,.]]] => 3
[1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [[[.,[.,.]],[.,.]],.] => 3
[1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => [[[.,[.,.]],.],[.,.]] => 3
[1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => [.,[[.,[[.,.],.]],.]] => 4
[1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => [[[.,[[.,.],.]],.],.] => 4
[1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => [.,[.,[[[.,.],.],.]]] => 4
[1,1,0,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [[.,[[[.,.],.],.]],.] => 4
[1,1,0,1,0,1,1,0,0,0] => [.,[[[.,.],.],[.,.]]] => [[.,[[.,.],.]],[.,.]] => 3
[1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => [.,[.,[[.,.],[.,.]]]] => 2
[1,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => 2
[1,1,0,1,1,0,1,0,0,0] => [.,[[.,.],[[.,.],.]]] => [[.,[.,.]],[[.,.],.]] => 2
[1,1,0,1,1,1,0,0,0,0] => [.,[[.,.],[.,[.,.]]]] => [[.,[.,.]],[.,[.,.]]] => 2
[1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => [.,[[.,[.,[.,.]]],.]] => 4
[1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => [[[.,[.,[.,.]]],.],.] => 4
[1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => [.,[.,[[.,[.,.]],.]]] => 4
[1,1,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],.],.]] => [[.,[[.,[.,.]],.]],.] => 4
[1,1,1,0,0,1,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [[.,[.,[.,.]]],[.,.]] => 3
[1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => [.,[.,[.,[[.,.],.]]]] => 4
[1,1,1,0,1,0,0,1,0,0] => [.,[[.,[[.,.],.]],.]] => [[.,[.,[[.,.],.]]],.] => 4
[1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => [[.,.],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [[.,.],[[.,.],[.,.]]] => 1
[1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => [.,[.,[.,[.,[.,.]]]]] => 4
[1,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => [[.,[.,[.,[.,.]]]],.] => 4
[1,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[.,.]],.]]] => [[.,.],[[.,[.,.]],.]] => 3
[1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[[.,.],.]]]] => [[.,.],[.,[[.,.],.]]] => 3
[1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[.,[.,.]]]]] => [[.,.],[.,[.,[.,.]]]] => 3
[1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => [.,[[[[[.,.],.],.],.],.]] => 5
[1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => 5
[1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],.] => [.,[[[[.,.],.],.],[.,.]]] => 4
[1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [[[[[.,.],.],.],[.,.]],.] => 4
[1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => [[[[[.,.],.],.],.],[.,.]] => 4
[1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],.] => [.,[[[[.,.],.],[.,.]],.]] => 4
[1,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [[[[[.,.],.],[.,.]],.],.] => 4
[1,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],.]],.] => [.,[[[.,.],.],[[.,.],.]]] => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [[[[.,.],.],[[.,.],.]],.] => 3
[1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [[[[.,.],.],[.,.]],[.,.]] => 3
[1,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,.]]]] => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]] => [[[[.,.],.],[.,[.,.]]],.] => 3
[1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => [[[[.,.],.],.],[[.,.],.]] => 4
[1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],.] => [.,[[[[.,.],[.,.]],.],.]] => 3
[1,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [[[[[.,.],[.,.]],.],.],.] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,.],[.,.]],[.,.]],.] => [.,[[[.,.],[.,.]],[.,.]]] => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [[[[.,.],[.,.]],.],[.,.]] => 2
[1,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],.] => [.,[[[.,.],[[.,.],.]],.]] => 4
[1,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [[[[.,.],[[.,.],.]],.],.] => 4
[1,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],.]],.] => [.,[[.,.],[[[.,.],.],.]]] => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => [[[.,.],[[[.,.],.],.]],.] => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => [[[.,.],[[.,.],.]],[.,.]] => 3
[1,0,1,1,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[.,.]]],.] => [.,[[.,.],[[.,.],[.,.]]]] => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] => [[[.,.],[[.,.],[.,.]]],.] => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => [[[.,.],[.,.]],[.,[.,.]]] => 2
[1,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,.]]],.],.] => [.,[[[.,.],[.,[.,.]]],.]] => 4
[1,0,1,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[.,.]] => [[[[.,.],[.,[.,.]]],.],.] => 4
[1,0,1,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],.] => [.,[[.,.],[[.,[.,.]],.]]] => 4
[1,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,.]],.],.]] => [[[.,.],[[.,[.,.]],.]],.] => 4
[1,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [[[.,.],[.,[.,.]]],[.,.]] => 3
[1,0,1,1,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,.],.]]],.] => [.,[[.,.],[.,[[.,.],.]]]] => 4
[1,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],.]],.]] => [[[.,.],[.,[[.,.],.]]],.] => 4
[1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => [[[.,.],.],[[[.,.],.],.]] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => [[[.,.],.],[[.,.],[.,.]]] => 2
[1,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,.]]]],.] => [.,[[.,.],[.,[.,[.,.]]]]] => 4
>>> Load all 1200 entries. <<<[1,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]] => [[[.,.],[.,[.,[.,.]]]],.] => 4
[1,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,.]],.]]] => [[[.,.],.],[[.,[.,.]],.]] => 4
[1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => [[[.,.],.],[.,[[.,.],.]]] => 4
[1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => 4
[1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => [.,[[[[.,[.,.]],.],.],.]] => 5
[1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => 5
[1,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],.] => [.,[[[.,[.,.]],.],[.,.]]] => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [[[[.,[.,.]],.],[.,.]],.] => 4
[1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[.,[.,.]],.],.],[.,.]] => 4
[1,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],.] => [.,[[[.,[.,.]],[.,.]],.]] => 4
[1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => 4
[1,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],.]]] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => [[[.,[.,.]],[[.,.],.]],.] => 3
[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => [[[.,[.,.]],[.,.]],[.,.]] => 3
[1,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],.] => [.,[[.,[.,.]],[.,[.,.]]]] => 3
[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] => [[[.,[.,.]],[.,[.,.]]],.] => 3
[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],.]] => 4
[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[.,[.,.]],.],[.,[.,.]]] => 4
[1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => [.,[[[.,[[.,.],.]],.],.]] => 5
[1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => 5
[1,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],.] => [.,[[.,[[.,.],.]],[.,.]]] => 4
[1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => 4
[1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => [[[.,[[.,.],.]],.],[.,.]] => 4
[1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => [.,[[.,[[[.,.],.],.]],.]] => 5
[1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => [[[.,[[[.,.],.],.]],.],.] => 5
[1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => [.,[.,[[[[.,.],.],.],.]]] => 5
[1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => 5
[1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[.,.],.],.],[.,.]]] => [[.,[[[.,.],.],.]],[.,.]] => 4
[1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],.] => [.,[.,[[[.,.],.],[.,.]]]] => 4
[1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => [[.,[[[.,.],.],[.,.]]],.] => 4
[1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,.],.],[[.,.],.]]] => [[.,[[.,.],.]],[[.,.],.]] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,[.,.]]]] => [[.,[[.,.],.]],[.,[.,.]]] => 4
[1,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],.] => [.,[[.,[[.,.],[.,.]]],.]] => 3
[1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => [[[.,[[.,.],[.,.]]],.],.] => 3
[1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],.] => [.,[.,[[[.,.],[.,.]],.]]] => 3
[1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,.]],.],.]] => [[.,[[[.,.],[.,.]],.]],.] => 3
[1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],[.,.]]] => [[.,[[.,.],[.,.]]],[.,.]] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],.] => [.,[.,[[.,.],[[.,.],.]]]] => 4
[1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => 4
[1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]] => [[.,[.,.]],[[[.,.],.],.]] => 4
[1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,.],[[.,.],[.,.]]]] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],.] => [.,[.,[[.,.],[.,[.,.]]]]] => 4
[1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => 4
[1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,.],[[.,[.,.]],.]]] => [[.,[.,.]],[[.,[.,.]],.]] => 4
[1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,.],.]]]] => [[.,[.,.]],[.,[[.,.],.]]] => 4
[1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,.]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => 4
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => [.,[[[.,[.,[.,.]]],.],.]] => 5
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => 5
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],.] => [.,[[.,[.,[.,.]]],[.,.]]] => 4
[1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [[[.,[.,[.,.]]],[.,.]],.] => 4
[1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => 4
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => [.,[[.,[[.,[.,.]],.]],.]] => 5
[1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => 5
[1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => [.,[.,[[[.,[.,.]],.],.]]] => 5
[1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,.]],.],.],.]] => [[.,[[[.,[.,.]],.],.]],.] => 5
[1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,.]],.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => 4
[1,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],.] => [.,[.,[[.,[.,.]],[.,.]]]] => 4
[1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => [[.,[[.,[.,.]],[.,.]]],.] => 4
[1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[.,.],.]]] => [[.,[.,[.,.]]],[[.,.],.]] => 4
[1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[.,.]],[.,[.,.]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => 4
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => [.,[[.,[.,[[.,.],.]]],.]] => 5
[1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [[[.,[.,[[.,.],.]]],.],.] => 5
[1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => [.,[.,[[.,[[.,.],.]],.]]] => 5
[1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],.]],.],.]] => [[.,[[.,[[.,.],.]],.]],.] => 5
[1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],[.,.]]] => [[.,[.,[[.,.],.]]],[.,.]] => 4
[1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => [.,[.,[.,[[[.,.],.],.]]]] => 5
[1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],.],.]],.]] => [[.,[.,[[[.,.],.],.]]],.] => 5
[1,1,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => [[.,.],[[[[.,.],.],.],.]] => 4
[1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,.],.],[.,.]]]] => [[.,.],[[[.,.],.],[.,.]]] => 3
[1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],.] => [.,[.,[.,[[.,.],[.,.]]]]] => 3
[1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [[.,[.,[[.,.],[.,.]]]],.] => 3
[1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => [[.,.],[[[.,.],[.,.]],.]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [[.,.],[[.,.],[[.,.],.]]] => 3
[1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => 3
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => [.,[[.,[.,[.,[.,.]]]],.]] => 5
[1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[.,[.,[.,[.,.]]]],.],.] => 5
[1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => [.,[.,[[.,[.,[.,.]]],.]]] => 5
[1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => [[.,[[.,[.,[.,.]]],.]],.] => 5
[1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[.,.]]] => [[.,[.,[.,[.,.]]]],[.,.]] => 4
[1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => [.,[.,[.,[[.,[.,.]],.]]]] => 5
[1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],.]],.]] => [[.,[.,[[.,[.,.]],.]]],.] => 5
[1,1,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => [[.,.],[[[.,[.,.]],.],.]] => 4
[1,1,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,.]],[.,.]]]] => [[.,.],[[.,[.,.]],[.,.]]] => 3
[1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => [.,[.,[.,[.,[[.,.],.]]]]] => 5
[1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [[.,[.,[.,[[.,.],.]]]],.] => 5
[1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [[.,.],[[.,[[.,.],.]],.]] => 4
[1,1,1,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => [[.,.],[.,[[[.,.],.],.]]] => 4
[1,1,1,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,.]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [.,[.,[.,[.,[.,[.,.]]]]]] => 5
[1,1,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => [[.,[.,[.,[.,[.,.]]]]],.] => 5
[1,1,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => [[.,.],[[.,[.,[.,.]]],.]] => 4
[1,1,1,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => [[.,.],[.,[[.,[.,.]],.]]] => 4
[1,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => 4
[1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => 4
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],.] => [.,[[[[[[.,.],.],.],.],.],.]] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],.] => [.,[[[[[.,.],.],.],.],[.,.]]] => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[.,.],.],.],.],[.,.]],.] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[.,.],.],.],.],.],[.,.]] => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],.] => [.,[[[[[.,.],.],.],[.,.]],.]] => 5
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[.,.],.],.],[.,.]],.],.] => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[[.,.],.]],.] => [.,[[[[.,.],.],.],[[.,.],.]]] => 5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] => [[[[[.,.],.],.],[[.,.],.]],.] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],.] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 5
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[[[[.,.],.],.],[.,[.,.]]],.] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[.,.],.],.],.],[[.,.],.]] => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => 5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],.],.],.] => [.,[[[[[.,.],.],[.,.]],.],.]] => 5
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[.,.],.],[.,.]],.],.],.] => 5
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,.]],.] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[.,.],.],[.,.]],[.,.]],.] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[.,.],.]],.],.] => [.,[[[[.,.],.],[[.,.],.]],.]] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[.,.],.],[[.,.],.]],.],.] => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],.] => [.,[[[.,.],.],[[[.,.],.],.]]] => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] => [[[[.,.],.],[[[.,.],.],.]],.] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => 3
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],.] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[[.,.],.],[[.,.],[.,.]]],.] => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],.] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[.,.],.],[.,[.,.]]],.],.] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],.] => [.,[[[.,.],.],[[.,[.,.]],.]]] => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[[[.,.],.],[[.,[.,.]],.]],.] => 5
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],.] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[[.,.],.],[.,[[.,.],.]]],.] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[[.,.],.],.],[[[.,.],.],.]] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 5
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 5
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],.],.],.] => [.,[[[[[.,.],[.,.]],.],.],.]] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[.,.],[.,.]],.],.],.],.] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[.,.],[.,.]],.],[.,.]],.] => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[.,.]],.],.] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[.,.],[.,.]],[.,.]],.],.] => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],.]],.] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,.],.]],.],.],.] => [.,[[[[.,.],[[.,.],.]],.],.]] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[.,.],[[.,.],.]],.],.],.] => 5
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,.]],.] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[[[.,.],[[.,.],.]],[.,.]],.] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],.]],.],.] => [.,[[[.,.],[[[.,.],.],.]],.]] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[[.,.],[[[.,.],.],.]],.],.] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,.],.],.],.]],.] => [.,[[.,.],[[[[.,.],.],.],.]]] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] => [[[.,.],[[[[.,.],.],.],.]],.] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,.],.],[.,.]]],.] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[[.,.],[[[.,.],.],[.,.]]],.] => 4
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[.,.]]],.],.] => [.,[[[.,.],[[.,.],[.,.]]],.]] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[.,.],[[.,.],[.,.]]],.],.] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],.]],.] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[[.,.],[[[.,.],[.,.]],.]],.] => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],.] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[[.,.],[[.,.],[[.,.],.]]],.] => 4
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],.] => [.,[[[[.,.],[.,[.,.]]],.],.]] => 5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[.,.],[.,[.,.]]],.],.],.] => 5
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => 4
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],.] => [.,[[[.,.],[[.,[.,.]],.]],.]] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[.,.],[[.,[.,.]],.]],.],.] => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],.] => [.,[[.,.],[[[.,[.,.]],.],.]]] => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[[.,.],[[[.,[.,.]],.],.]],.] => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => 4
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,.],.]]],.],.] => [.,[[[.,.],[.,[[.,.],.]]],.]] => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[.,.],[.,[[.,.],.]]],.],.] => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],.]],.] => [.,[[.,.],[[.,[[.,.],.]],.]]] => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[[.,.],[[.,[[.,.],.]],.]],.] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],.]]],.] => [.,[[.,.],[.,[[[.,.],.],.]]]] => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[[.,.],[.,[[[.,.],.],.]]],.] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[.,.],.],[[[[.,.],.],.],.]] => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 4
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 5
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => 5
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => 5
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => 5
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => 5
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => 5
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => 5
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 5
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => 5
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => 5
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => 5
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 5
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 5
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 5
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],.] => [.,[[[[[.,[.,.]],.],.],.],.]] => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => 6
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,.]],.] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 5
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[[[.,[.,.]],.],.],[.,.]],.] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => 5
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[.,.]],.],.] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 5
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],.] => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],.]],.] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[[.,[.,.]],.],[[.,.],.]],.] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => 5
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],.],.],.] => [.,[[[[.,[.,.]],[.,.]],.],.]] => 5
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],.] => 5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 4
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],.]],.],.] => [.,[[[.,[.,.]],[[.,.],.]],.]] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],.] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],.]],.] => [.,[[.,[.,.]],[[[.,.],.],.]]] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[.,[.,.]],[[[.,.],.],.]],.] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => 5
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => 5
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 5
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],.] => [.,[[[[.,[[.,.],.]],.],.],.]] => 6
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => 6
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,.]],.] => [.,[[[.,[[.,.],.]],.],[.,.]]] => 5
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],.] => 5
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => 5
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[.,.]],.],.] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 5
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[[.,[[.,.],.]],[.,.]],.],.] => 5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],.] => [.,[[.,[[.,.],.]],[[.,.],.]]] => 5
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[.,[[.,.],.]],[[.,.],.]],.] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 4
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => 5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => 5
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 5
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],.] => [.,[[[.,[[[.,.],.],.]],.],.]] => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => 6
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => [.,[[.,[[[.,.],.],.]],[.,.]]] => 5
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[[.,[[[.,.],.],.]],[.,.]],.] => 5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => 5
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],.] => [.,[[.,[[[[.,.],.],.],.]],.]] => 6
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[.,[[[[.,.],.],.],.]],.],.] => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],.] => [.,[.,[[[[[.,.],.],.],.],.]]] => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],.] => 6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => 5
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,.],.],.],[.,.]]],.] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[[.,.],.],.],[.,.]],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => 5
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],[.,.]]],.],.] => [.,[[.,[[[.,.],.],[.,.]]],.]] => 5
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[[.,[[[.,.],.],[.,.]]],.],.] => 5
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],.] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,.],.],[[.,.],.]]],.] => [.,[.,[[[.,.],.],[[.,.],.]]]] => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[.,[[[.,.],.],[[.,.],.]]],.] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 4
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => 4
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => 4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => 4
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],[.,.]]],.],.],.] => [.,[[[.,[[.,.],[.,.]]],.],.]] => 4
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[[.,[[.,.],[.,.]]],.],.],.] => 4
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],[.,.]],.]],.],.] => [.,[[.,[[[.,.],[.,.]],.]],.]] => 4
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[[.,[[[.,.],[.,.]],.]],.],.] => 4
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],.] => [.,[.,[[[[.,.],[.,.]],.],.]]] => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => 4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => 3
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[[.,.],.]]],.],.] => [.,[[.,[[.,.],[[.,.],.]]],.]] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[[.,[[.,.],[[.,.],.]]],.],.] => 5
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],.]],.] => [.,[.,[[[.,.],[[.,.],.]],.]]] => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[[.,.],.]],.],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => 5
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => 4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[[.,.],.],.]]],.] => [.,[.,[[.,.],[[[.,.],.],.]]]] => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => 5
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 4
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 4
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => 5
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => 5
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 5
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => 5
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => 5
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => 5
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => 5
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 4
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 5
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => 5
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => 5
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 5
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => 5
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 5
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => 5
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 5
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 5
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],.] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 6
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => 6
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => 5
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 5
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 5
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 5
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => 5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => 5
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 5
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 5
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => 5
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],.] => [.,[[[.,[[.,[.,.]],.]],.],.]] => 6
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => 6
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => 5
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => 5
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],.] => [.,[[.,[[[.,[.,.]],.],.]],.]] => 6
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],.] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 6
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[.,[[[[.,[.,.]],.],.],.]],.] => 6
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => 5
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => 5
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => 5
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => 5
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => 5
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => 5
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 4
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => 4
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => 4
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 4
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],.] => [.,[[[.,[.,[[.,.],.]]],.],.]] => 6
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => 6
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => 5
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => 5
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => 5
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],.] => [.,[[.,[[.,[[.,.],.]],.]],.]] => 6
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],.] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 6
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[.,[[[.,[[.,.],.]],.],.]],.] => 6
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => 5
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => 5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => 5
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => 5
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[.,.],.],.]]],.],.] => [.,[[.,[.,[[[.,.],.],.]]],.]] => 6
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,[[[.,.],.],.]]],.],.] => 6
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],.] => [.,[.,[[.,[[[.,.],.],.]],.]]] => 6
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[.,[[.,[[[.,.],.],.]],.]],.] => 6
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => 5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],.]]],.] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 6
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[.,[.,[[[[.,.],.],.],.]]],.] => 6
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[.,.],[[[[[.,.],.],.],.],.]] => 5
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => 5
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => 4
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => 4
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => 5
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 5
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => 5
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 4
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 4
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 4
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 6
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 6
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 5
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 5
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => 5
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => 6
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 6
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 6
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => 6
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => 5
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 5
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => 5
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 5
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 5
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => 6
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 6
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => 6
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => 6
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => 5
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 6
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => 6
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => 5
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => 4
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 5
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => 5
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => 4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 3
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => 6
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 6
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => 6
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => 6
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => 5
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => 6
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => 6
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => 5
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 4
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 6
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => 6
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => 5
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => 5
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 4
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => 4
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 4
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 4
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 6
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 6
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 6
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => 6
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 6
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => 6
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => 5
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 4
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 6
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => 6
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => 5
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => 6
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => 5
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 5
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 3
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 6
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 5
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => 5
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => 5
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 5
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 5
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 6
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 6
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 5
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 5
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 5
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 4
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 5
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 5
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 5
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 6
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 6
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 6
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 6
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 6
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => 5
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 5
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => 5
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 5
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 5
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 6
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 5
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => 5
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => 6
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 5
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => 5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => 6
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 6
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => 5
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 5
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 6
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 5
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => 6
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => 6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => 5
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => 6
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => 6
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => 6
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => 5
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => 6
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => 6
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => 6
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => 6
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 4
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 6
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => 6
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => 6
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => 6
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => 6
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 7
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 6
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 6
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 6
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 6
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 6
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => 6
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => 6
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 5
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 6
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => 5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 5
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => 5
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => 6
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 6
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 5
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => 4
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 5
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 5
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => 6
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => 6
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 6
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 6
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 6
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 6
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 6
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 6
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 7
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 6
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => 6
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => 6
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 6
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => 6
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => 6
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 4
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => 6
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => 5
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 5
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 7
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => 6
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 6
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => 6
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => 7
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => 7
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 6
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => 6
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 6
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => 6
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 6
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 6
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => 5
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => 6
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => 5
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => 5
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => 6
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => 4
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 5
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 5
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => 6
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => 6
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 6
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 5
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 4
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => 4
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => 4
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 4
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => 4
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => 5
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => 4
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 4
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => 4
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => 4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => 4
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => 6
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => 5
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => 6
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => 6
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => 6
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => 6
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => 6
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => 5
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => 4
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => 4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => 5
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => 5
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 5
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 6
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 5
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => 6
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => 6
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => 5
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => 6
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => 6
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => 6
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => 5
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => 6
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => 6
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => 6
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => 6
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 6
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 5
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => 4
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 5
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 5
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 6
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => 6
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => 6
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => 6
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 6
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 5
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => 6
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 6
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 6
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 4
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 6
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 6
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 6
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 6
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 7
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 6
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 6
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 6
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 6
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => 6
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => 6
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => 5
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => 6
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => 5
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 5
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => 7
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => 6
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 6
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => 6
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 7
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => 7
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => 7
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => 6
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 6
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => 6
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => 6
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => 6
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 6
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 6
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => 6
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => 5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => 5
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => 5
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => 6
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => 4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 5
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => 5
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => 6
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => 6
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => 7
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 6
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => 6
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => 6
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 7
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => 7
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => 7
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => 6
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => 6
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => 6
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => 6
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 7
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => 6
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 7
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => 7
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => 6
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 7
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => 7
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => 7
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => 6
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 5
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 6
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => 5
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 5
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 5
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 6
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => 6
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 6
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 5
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => 5
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 4
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 5
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 5
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 4
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 5
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 5
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 5
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 5
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 5
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => 5
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 5
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => 5
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => 5
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => 4
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => 4
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 3
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 3
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 3
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => 6
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => 6
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => 6
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => 5
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => 6
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 5
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 5
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 3
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 3
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 4
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 4
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 6
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => 6
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => 6
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 5
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 4
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => 6
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 5
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 5
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => 6
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 5
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 5
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => 6
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 5
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 5
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 5
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 5
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 5
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 7
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 6
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 6
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => 6
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 6
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => 7
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => 6
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 7
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => 7
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => 6
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 6
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => 6
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => 6
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => 6
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 7
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 6
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 7
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => 7
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => 6
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 7
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => 7
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => 7
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => 6
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 5
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 6
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 5
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 5
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 5
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => 6
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => 6
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => 6
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 5
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => 5
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 4
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 5
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => 5
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 4
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 5
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 5
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 7
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => 6
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 7
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => 7
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => 6
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => 7
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => 7
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => 7
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => 6
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 5
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => 6
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 5
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 7
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => 7
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => 7
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => 6
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 5
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => 7
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => 6
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 6
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 5
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => 6
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 5
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 5
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 4
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => 5
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => 5
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => 5
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 4
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => 5
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 4
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => 4
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => 6
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 5
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 5
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 5
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => 6
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 5
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 5
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 5
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 5
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 5
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 7
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 6
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 7
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => 7
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => 6
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => 7
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => 7
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => 7
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 6
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 5
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => 6
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 5
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 5
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 5
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 7
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => 7
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => 7
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 6
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => 5
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => 7
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 6
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => 6
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => 6
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 5
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => 5
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 4
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 7
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => 7
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => 7
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 6
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => 7
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 6
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => 6
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => 5
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => 7
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 6
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => 6
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 6
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 5
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 5
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 4
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 4
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 4
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 5
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 5
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 7
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => 7
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => 7
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 6
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => 5
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => 7
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 6
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => 6
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 5
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 7
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 6
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => 6
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => 6
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 5
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 7
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 6
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => 6
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 6
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 6
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 4
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 6
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 6
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 6
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 6
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 6
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 6
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Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,4 2,4,8 2,8,16,16 12,24,64,32 1,0,4,56,112,192,64
F2=2 q
F3=1+4 q2
F4=2 q+4 q2+8 q3
F5=2 q+8 q2+16 q3+16 q4
F6=12 q2+24 q3+64 q4+32 q5
F7=1+4 q2+56 q3+112 q4+192 q5+64 q6
Description
The binary logarithm of the number of binary trees with the same underlying unordered tree.
Map
to binary tree: left tree, up step, right tree, down step
Description
Return the binary tree corresponding to the Dyck path under the transformation left tree - up step - right tree - down step.
A Dyck path D of semilength n with n>1 may be uniquely decomposed into L1R0 for Dyck paths L,R of respective semilengths n1,n2 with n1+n2=n−1.
This map sends D to the binary tree T consisting of a root node with a left child according to L and a right child according to R and then recursively proceeds.
The base case of the unique Dyck path of semilength 1 is sent to a single node.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.
A Dyck path D of semilength n with n>1 may be uniquely decomposed into L1R0 for Dyck paths L,R of respective semilengths n1,n2 with n1+n2=n−1.
This map sends D to the binary tree T consisting of a root node with a left child according to L and a right child according to R and then recursively proceeds.
The base case of the unique Dyck path of semilength 1 is sent to a single node.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.
Map
left rotate
Description
Return the result of left rotation applied to a binary tree.
Left rotation on binary trees is defined as follows: Let T be a binary tree such that the right child of the root of T is a node. Let A be the left child of the root of T, and let B and C be the left and right children of the right child of the root of T. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the left rotation of T is the binary tree in which the right child of the root is C, whereas the left child of the root is a node whose left and right children are A and B.
Left rotation on binary trees is defined as follows: Let T be a binary tree such that the right child of the root of T is a node. Let A be the left child of the root of T, and let B and C be the left and right children of the right child of the root of T. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the left rotation of T is the binary tree in which the right child of the root is C, whereas the left child of the root is a node whose left and right children are A and B.
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