Identifier
-
Mp00018:
Binary trees
—left border symmetry⟶
Binary trees
Mp00016: Binary trees —left-right symmetry⟶ Binary trees
St000919: Binary trees ⟶ ℤ
Values
[.,[.,.]] => [.,[.,.]] => [[.,.],.] => 1
[[.,.],.] => [[.,.],.] => [.,[.,.]] => 0
[.,[.,[.,.]]] => [.,[.,[.,.]]] => [[[.,.],.],.] => 1
[.,[[.,.],.]] => [.,[[.,.],.]] => [[.,[.,.]],.] => 1
[[.,.],[.,.]] => [[.,[.,.]],.] => [.,[[.,.],.]] => 1
[[.,[.,.]],.] => [[.,.],[.,.]] => [[.,.],[.,.]] => 1
[[[.,.],.],.] => [[[.,.],.],.] => [.,[.,[.,.]]] => 0
[.,[.,[.,[.,.]]]] => [.,[.,[.,[.,.]]]] => [[[[.,.],.],.],.] => 1
[.,[.,[[.,.],.]]] => [.,[.,[[.,.],.]]] => [[[.,[.,.]],.],.] => 1
[.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => [[.,[[.,.],.]],.] => 2
[.,[[.,[.,.]],.]] => [.,[[.,.],[.,.]]] => [[[.,.],[.,.]],.] => 1
[.,[[[.,.],.],.]] => [.,[[[.,.],.],.]] => [[.,[.,[.,.]]],.] => 1
[[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [.,[[[.,.],.],.]] => 1
[[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [.,[[.,[.,.]],.]] => 1
[[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [[.,.],[[.,.],.]] => 2
[[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [.,[.,[[.,.],.]]] => 1
[[.,[.,[.,.]]],.] => [[.,.],[.,[.,.]]] => [[[.,.],.],[.,.]] => 1
[[.,[[.,.],.]],.] => [[.,.],[[.,.],.]] => [[.,[.,.]],[.,.]] => 1
[[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => [.,[[.,.],[.,.]]] => 1
[[[.,[.,.]],.],.] => [[[.,.],.],[.,.]] => [[.,.],[.,[.,.]]] => 1
[[[[.,.],.],.],.] => [[[[.,.],.],.],.] => [.,[.,[.,[.,.]]]] => 0
[.,[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],.] => 1
[.,[.,[.,[[.,.],.]]]] => [.,[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],.] => 1
[.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],.] => 2
[.,[.,[[.,[.,.]],.]]] => [.,[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],.] => 1
[.,[.,[[[.,.],.],.]]] => [.,[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],.] => 1
[.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],.] => 2
[.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],.] => 2
[.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],.] => 2
[.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],.] => 2
[.,[[.,[.,[.,.]]],.]] => [.,[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],.] => 1
[.,[[.,[[.,.],.]],.]] => [.,[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],.] => 1
[.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => 2
[.,[[[.,[.,.]],.],.]] => [.,[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],.] => 1
[.,[[[[.,.],.],.],.]] => [.,[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],.] => 1
[[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],.]] => 1
[[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],.]] => 1
[[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],.]] => 2
[[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],.]] => 1
[[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],.]] => 1
[[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],.]] => 2
[[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],.]] => 2
[[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],.]]] => 1
[[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],.]]] => 1
[[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],.]] => 2
[[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],.]] => 2
[[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],.]]] => 2
[[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],.]]] => 2
[[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [.,[.,[.,[[.,.],.]]]] => 1
[[.,[.,[.,[.,.]]]],.] => [[.,.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,.]] => 1
[[.,[.,[[.,.],.]]],.] => [[.,.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,.]] => 1
[[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,.]] => 2
[[.,[[.,[.,.]],.]],.] => [[.,.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,.]] => 1
[[.,[[[.,.],.],.]],.] => [[.,.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,.]] => 1
[[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,.]]] => 1
[[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,.]]] => 1
[[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,.]]] => 2
[[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [.,[.,[[.,.],[.,.]]]] => 1
[[[.,[.,[.,.]]],.],.] => [[[.,.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,.]]] => 1
[[[.,[[.,.],.]],.],.] => [[[.,.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,.]]] => 1
[[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => [.,[[.,.],[.,[.,.]]]] => 1
[[[[.,[.,.]],.],.],.] => [[[[.,.],.],.],[.,.]] => [[.,.],[.,[.,[.,.]]]] => 1
[[[[[.,.],.],.],.],.] => [[[[[.,.],.],.],.],.] => [.,[.,[.,[.,[.,.]]]]] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],.] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],.] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],.] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],.] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],.] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],.] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],.] => 2
[.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],.] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => 2
[.,[.,[[.,[.,[.,.]]],.]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],.] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [.,[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],.] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],.] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [.,[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],.] => 1
[.,[.,[[[[.,.],.],.],.]]] => [.,[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],.] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],.] => 2
[.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],.] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],.] => 3
[.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],.] => 2
[.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],.] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],.] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],.] => 2
[.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],.] => 2
[.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],.] => 2
[.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],.] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],.] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => 3
[.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],.] => 2
[.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],.] => 2
[.,[[.,[.,[.,[.,.]]]],.]] => [.,[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],.] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [.,[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],.] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],.] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [.,[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],.] => 1
[.,[[.,[[[.,.],.],.]],.]] => [.,[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],.] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],.] => 2
[.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],.] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],.] => 2
[.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],.] => 2
[.,[[[.,[.,[.,.]]],.],.]] => [.,[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],.] => 1
>>> Load all 1200 entries. <<<[.,[[[.,[[.,.],.]],.],.]] => [.,[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],.] => 1
[.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => 2
[.,[[[[.,[.,.]],.],.],.]] => [.,[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],.] => 1
[.,[[[[[.,.],.],.],.],.]] => [.,[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],.] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],.]] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],.]] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],.]] => 2
[[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],.]] => 1
[[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],.]] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],.]] => 2
[[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],.]] => 2
[[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],.]] => 2
[[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],.]] => 2
[[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],.]] => 1
[[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],.]] => 1
[[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],.]] => 2
[[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],.]] => 1
[[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],.]] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],.]] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],.]] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],.]] => 3
[[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],.]] => 2
[[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],.]] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],.]]] => 1
[[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],.]]] => 1
[[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],.]]] => 2
[[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],.]]] => 1
[[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],.]]] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],.]] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],.]] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],.]] => 2
[[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],.]]] => 2
[[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],.]]] => 2
[[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],.]]] => 2
[[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],.]]] => 2
[[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],.]]]] => 1
[[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],.]]]] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],.]] => 2
[[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],.]] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],.]] => 3
[[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],.]] => 2
[[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],.]] => 2
[[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],.]]] => 2
[[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],.]]] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],.]]] => 3
[[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],.]]]] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],.]]] => 2
[[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],.]]]] => 2
[[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],.]]]] => 2
[[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],.]]]]] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,.]] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [[.,.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,.]] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,.]] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [[.,.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,.]] => 1
[[.,[.,[[[.,.],.],.]]],.] => [[.,.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,.]] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,.]] => 2
[[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,.]] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,.]] => 2
[[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,.]] => 2
[[.,[[.,[.,[.,.]]],.]],.] => [[.,.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,.]] => 1
[[.,[[.,[[.,.],.]],.]],.] => [[.,.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,.]] => 1
[[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => 2
[[.,[[[.,[.,.]],.],.]],.] => [[.,.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,.]] => 1
[[.,[[[[.,.],.],.],.]],.] => [[.,.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,.]] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,.]]] => 1
[[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,.]]] => 1
[[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,.]]] => 2
[[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,.]]] => 1
[[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,.]]] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,.]]] => 2
[[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,.]]] => 2
[[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,.]]]] => 1
[[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,.]]]] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,.]]] => 2
[[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,.]]]] => 2
[[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,.]]]] => 2
[[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,.]]]]] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,.]]] => 1
[[[.,[.,[[.,.],.]]],.],.] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,.]]] => 1
[[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,.]]] => 2
[[[.,[[.,[.,.]],.]],.],.] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,.]]] => 1
[[[.,[[[.,.],.],.]],.],.] => [[[.,.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,.]]] => 1
[[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,.]]]] => 1
[[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,.]]]] => 1
[[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,.]]]] => 2
[[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,.]]]]] => 1
[[[[.,[.,[.,.]]],.],.],.] => [[[[.,.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,.]]]] => 1
[[[[.,[[.,.],.]],.],.],.] => [[[[.,.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,.]]]] => 1
[[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,.]]]]] => 1
[[[[[.,[.,.]],.],.],.],.] => [[[[[.,.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,.]]]]] => 1
[[[[[[.,.],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,.]]]]]] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[[[[.,[[.,.],.]],.],.],.],.] => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => 2
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => 2
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => 2
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => 2
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.] => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[[.,[[[[.,.],.],.],.]],.],.] => 2
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => 2
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => 3
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 2
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => 2
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 2
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => 3
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => 2
[.,[.,[[[[.,.],.],.],[.,.]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 2
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],[.,.]],.],.] => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],[.,.]],.],.] => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => 1
[.,[.,[[.,[[[.,.],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => 2
[.,[.,[[[.,.],[[.,.],.]],.]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => 2
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => 2
[.,[.,[[[[.,.],.],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[[[[[.,.],.],.],.],.]],.] => 2
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[[[[.,[.,.]],.],.],.]],.] => 2
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[[[.,[[.,.],.]],.],.]],.] => 3
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => 2
[.,[[.,.],[.,[[[.,.],.],.]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => 2
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[[.,[[[.,.],.],.]],.]],.] => 3
[.,[[.,.],[[.,.],[[.,.],.]]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => 3
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => 3
[.,[[.,.],[[[.,.],.],[.,.]]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => 3
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => 2
[.,[[.,.],[[.,[[.,.],.]],.]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => 3
[.,[[.,.],[[[.,[.,.]],.],.]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => 2
[.,[[.,.],[[[[.,.],.],.],.]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => 2
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[[.,.],[[[[.,.],.],.],.]],.] => 2
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => 3
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => 2
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[.,[[[[.,.],.],.],.]]],.] => 2
[.,[[[.,.],.],[.,[[.,.],.]]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => 3
[.,[[[.,.],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => 2
[.,[[[.,.],.],[[[.,.],.],.]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => 2
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => 2
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => 2
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => 2
[.,[[.,[[.,.],.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => 2
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => 3
[.,[[[.,.],[.,.]],[[.,.],.]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => 3
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => 2
[.,[[[.,[.,.]],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => 2
[.,[[[[.,.],.],.],[.,[.,.]]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => 2
[.,[[[[.,.],.],.],[[.,.],.]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => 2
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => 2
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => 3
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => 2
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],.],[[.,.],.]]],.] => 3
[.,[[[.,.],[[.,.],.]],[.,.]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => 3
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => 3
[.,[[[[.,.],.],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => 3
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => 2
[.,[[[.,[[.,.],.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => 3
[.,[[[[.,[.,.]],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => 2
[.,[[[[[.,.],.],.],.],[.,.]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => 2
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],[.,.]],.] => 1
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],[.,.]],.] => 2
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => 1
[.,[[.,[.,[[[.,.],.],.]]],.]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],[.,.]],.] => 2
[.,[[.,[[.,.],[[.,.],.]]],.]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => 2
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 1
[.,[[.,[[[[.,.],.],.],.]],.]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => 2
[.,[[[.,.],[.,[[.,.],.]]],.]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => 3
[.,[[[.,.],[[.,[.,.]],.]],.]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => 2
[.,[[[.,.],[[[.,.],.],.]],.]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => 2
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => 2
[.,[[[[.,.],.],[.,[.,.]]],.]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => 2
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => 2
[.,[[[.,[[.,.],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => 3
[.,[[[[.,[.,.]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 2
[.,[[[[[.,.],.],.],[.,.]],.]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => 2
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 2
[.,[[[.,[[.,[.,.]],.]],.],.]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => 2
[.,[[[[.,.],[[.,.],.]],.],.]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => 2
[.,[[[[.,[.,.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => 2
[.,[[[[.,[.,[.,.]]],.],.],.]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => 2
[.,[[[[[.,[.,.]],.],.],.],.]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [.,[[[[[[.,.],.],.],.],.],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],.],.],.]] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],.],.],.]] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],.],.],.]] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],.],.]] => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],.]],.],.]] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],.]]],.],.]] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,.]],.],.]] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],.],.]] => 1
[[.,.],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,.]]],.],.]] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,.]]],.],.]] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],.],.]],.]] => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],.],.]],.]] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],.]],.]],.]] => 3
[[.,.],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,.]],.]],.]] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],.],.]],.]] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,.]],.]],.]] => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],.],.]]],.]] => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,.],.]],.]] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,.],.]],.]] => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,.],.]]],.]] => 3
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,.],.]]],.]] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[.,.]],.]] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[.,.]]],.]] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[.,.]]],.]] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 1
[[.,.],[[[.,[[.,.],.]],.],.]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],.],.]] => 2
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],.],.]] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],.],.]] => 3
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],.],.]] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],.]],.]] => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => 3
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],.]],.]] => 3
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => 3
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,.]],.]] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => 3
[[.,[.,.]],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],.],.]]] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],.],.]]] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],.]],.]]] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],.]],.]]] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 1
[[[.,.],.],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 1
[[[.,.],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,.],.],.],.]] => 2
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => 3
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => 2
[[.,[[.,.],.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => 2
[[.,[[.,.],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => 3
[[.,[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 2
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],.],.],.]]] => 2
[[[.,.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,.]],.],.]]] => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,.],.]],.]]] => 3
[[[.,.],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],.],.]]] => 2
[[[.,[.,.]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => 2
[[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => 3
[[[.,[.,.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => 2
[[[[.,.],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => 2
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => 2
[[.,[.,[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 2
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[[.,.],.],.]] => 3
[[.,[[.,.],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => 3
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 2
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => 2
[[.,[[[.,.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => 2
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,.],.],.]]] => 2
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[.,.]],.]]] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,.],.],.]]] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 2
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],.],.]]] => 3
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 3
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],.],.]]]] => 2
[[[[.,.],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => 2
[[[.,[.,[.,.]]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 2
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => 2
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,.],.],.]]]] => 2
[[[[.,.],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => 2
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => 2
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[[.,.],.]] => 3
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => 3
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => 3
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => 3
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 2
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[.,.],.]]] => 2
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,.],.]]] => 3
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,.],.]]] => 3
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 3
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,.],.]]]] => 2
[[[[.,.],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => 3
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 3
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => 2
[[[.,[.,[[.,.],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => 3
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 2
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 2
[[[[.,.],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 3
[[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 2
[[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 2
[[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 2
[[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[.,.]] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[[.,[.,[.,[[[.,.],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[[.,[.,[[.,[[.,.],.]],.]]],.] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 1
[[.,[.,[[[.,.],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => 1
[[.,[.,[[[[.,.],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],[.,.]] => 2
[[.,[[.,.],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => 3
[[.,[[.,.],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => 2
[[.,[[.,.],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => 2
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => 2
[[.,[[[.,.],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => 2
[[.,[[[.,.],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => 2
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 2
[[.,[[[.,.],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => 3
[[.,[[[.,[.,.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 2
[[.,[[[[.,.],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[[.,[[.,[.,[[.,.],.]]],.]],.] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 1
[[.,[[.,[[.,.],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 1
[[.,[[.,[[[.,.],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 1
[[.,[[[.,.],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => 2
[[.,[[[.,[.,[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 1
[[.,[[[.,[[.,.],.]],.],.]],.] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 1
[[.,[[[[.,.],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 2
[[.,[[[[.,[.,.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],[.,.]]] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],[.,.]]] => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],[.,.]]] => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => 2
[[[.,.],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => 2
[[[.,.],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[[[.,.],[[.,[[.,.],.]],.]],.] => [[[.,.],[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 1
[[[.,.],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2
[[[.,[.,.]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 3
[[[.,[.,.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => 2
[[[[.,.],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2
[[[.,[.,[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2
[[[[.,.],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2
[[[[.,[.,.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2
[[[.,[.,[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => 3
[[[.,[[.,[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 2
[[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2
[[[[.,.],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 3
[[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2
[[[[.,[[.,.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2
[[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2
[[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2
[[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 1
[[[.,[.,[[[.,.],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => 2
[[[.,[[.,[.,.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => 2
[[[.,[[.,[.,[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 1
[[[.,[[.,[[.,.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 2
[[[.,[[[.,[.,.]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => 2
[[[[.,.],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2
[[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2
[[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2
[[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2
[[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => 2
[[[[.,[[.,[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2
[[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 2
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 1
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 2
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => 2
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => 2
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => 2
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 1
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 1
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 2
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 1
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 1
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => 2
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 2
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 3
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 2
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => 2
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => 2
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => 2
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 2
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 2
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => 2
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => 2
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => 3
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => 2
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 2
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 1
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 1
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => 2
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 1
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => 1
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 2
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 2
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => 2
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 2
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 1
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => 1
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 2
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 1
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 1
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => 2
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => 2
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => 3
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => 2
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 2
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 3
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 3
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => 3
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 3
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 2
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 3
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => 2
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 2
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => 2
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => 2
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => 3
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => 2
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => 2
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 2
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 2
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => 3
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 2
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => 2
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => 2
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => 2
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => 2
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 2
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => 3
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => 3
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => 2
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => 2
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 2
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 2
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => 2
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => 2
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => 3
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 2
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => 2
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => 3
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => 3
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => 3
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => 3
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => 2
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => 2
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => 3
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => 2
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 2
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 1
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 1
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => 2
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 1
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 1
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 2
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => 2
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => 2
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 1
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 1
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => 2
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 1
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 1
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => 2
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 2
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => 3
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 2
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 2
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => 2
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => 2
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => 2
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 2
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => 2
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => 3
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => 2
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 1
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => 1
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => 2
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => 1
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => 1
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 2
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 2
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => 2
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 2
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 1
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 1
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 2
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 1
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => 2
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => 2
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => 3
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => 2
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 2
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => 3
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 3
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => 3
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 3
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 2
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 2
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 3
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 2
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => 3
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 3
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 4
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 3
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 3
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 3
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 3
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 3
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 3
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 3
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 4
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 3
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 3
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => 2
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 2
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 3
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 2
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 2
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 3
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 3
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 3
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 3
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 2
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 2
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 3
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 2
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 2
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => 1
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => 1
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => 2
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => 1
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => 1
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => 2
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => 2
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => 2
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => 2
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => 1
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => 1
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => 2
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => 1
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => 1
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => 2
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => 2
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => 3
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => 2
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => 2
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => 2
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => 2
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => 2
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => 2
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => 2
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => 2
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => 3
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => 2
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => 2
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 1
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => 1
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => 2
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => 1
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => 1
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => 2
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => 2
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => 2
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => 2
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 1
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => 1
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => 2
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => 1
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => 1
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 2
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => 2
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => 3
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => 2
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => 2
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => 3
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => 3
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 3
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => 3
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 2
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 2
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => 3
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 2
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => 2
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 2
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => 2
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => 3
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => 2
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => 2
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => 3
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => 3
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 3
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => 3
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 2
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => 2
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 3
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 2
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 2
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => 1
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => 1
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => 2
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => 1
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => 1
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => 2
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => 2
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => 2
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => 2
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 1
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => 1
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => 2
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => 1
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => 1
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 2
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => 2
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 3
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 2
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 2
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 2
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => 2
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 3
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 2
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 2
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 3
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 4
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 3
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 3
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => 2
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => 2
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => 3
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => 2
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => 2
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 2
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 2
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 3
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 2
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 2
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 2
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => 2
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => 3
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => 2
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => 2
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 2
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => 2
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 3
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 2
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 2
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => 1
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => 1
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => 2
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => 1
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 2
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => 2
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 2
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 2
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 3
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 3
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 2
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 2
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => 2
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => 2
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 3
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 3
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => 2
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => 2
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => 2
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => 2
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 3
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => 3
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 3
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 3
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => 2
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => 2
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 2
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 2
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 2
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 2
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 3
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 3
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => 2
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => 2
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 2
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => 2
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => 2
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 2
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 2
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => 1
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 2
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 2
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => 3
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 2
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 2
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => 3
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => 3
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 3
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => 3
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 2
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 2
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => 3
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => 2
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 3
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 4
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 3
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 3
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => 2
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => 2
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => 3
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => 2
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 3
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 3
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 3
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => 2
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => 2
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 3
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 3
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 4
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => 3
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => 3
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => 2
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 2
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 2
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => 3
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 2
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 2
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => 2
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => 2
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 3
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 3
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => 2
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 2
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 2
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => 2
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 2
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => 2
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 2
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 1
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 1
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 2
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 1
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 1
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => 2
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => 2
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => 2
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 2
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 1
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => 1
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 2
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 1
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 1
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => 2
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => 2
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => 3
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => 2
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => 2
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => 2
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => 2
[[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => 2
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 2
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 2
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 2
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => 3
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => 2
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => 2
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 1
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 1
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 2
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => 1
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 2
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 2
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 2
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 1
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 1
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 2
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 1
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 2
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 2
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 3
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 2
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 2
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 3
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => 3
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 3
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => 3
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 2
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 2
[[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 3
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 2
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => 2
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 1
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => 1
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => 2
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => 1
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => 1
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => 2
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => 2
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => 2
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => 2
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => 1
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => 1
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => 2
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => 1
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => 1
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 2
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 2
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 3
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 2
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => 2
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 2
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 2
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => 3
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 2
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 2
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 1
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 1
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => 2
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => 1
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => 1
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 2
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 2
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 2
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 2
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 3
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 3
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => 2
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => 2
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 2
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 2
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => 2
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => 2
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 2
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 2
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => 1
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 2
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 2
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 3
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 2
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 2
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 3
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 3
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => 2
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => 2
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 3
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 3
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => 2
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 2
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 2
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 3
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => 2
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 2
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 2
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 2
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 1
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 1
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 2
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 1
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 1
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => 2
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 2
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 2
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => 2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 1
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 1
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 2
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 1
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 1
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 2
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 3
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 2
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 2
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 1
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => 1
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => 2
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => 1
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => 1
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 2
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 2
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 2
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 2
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 1
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => 1
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 2
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 3
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => 2
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 2
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 2
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 2
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => 1
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 1
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 1
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 2
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 1
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 1
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 2
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 2
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 1
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 1
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 2
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 2
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 2
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => 1
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 1
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 1
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 2
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 0
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,4 1,11,2 1,26,15 1,57,69,5 1,120,252,56
$F_{2} = 1 + q$
$F_{3} = 1 + 4\ q$
$F_{4} = 1 + 11\ q + 2\ q^{2}$
$F_{5} = 1 + 26\ q + 15\ q^{2}$
$F_{6} = 1 + 57\ q + 69\ q^{2} + 5\ q^{3}$
$F_{7} = 1 + 120\ q + 252\ q^{2} + 56\ q^{3}$
Description
The number of maximal left branches of a binary tree.
A maximal left branch of a binary tree is an inclusion wise maximal path which consists of left edges only. This statistic records the number of distinct maximal left branches in the tree.
A maximal left branch of a binary tree is an inclusion wise maximal path which consists of left edges only. This statistic records the number of distinct maximal left branches in the tree.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of a binary tree.
Map
left border symmetry
Description
Return the tree where a symmetry has been applied recursively on all left borders. If a tree is made of three trees $T_1, T_2, T_3$ on its left border, it becomes $T_3, T_2, T_1$ where same symmetry has been applied to $T_1, T_2, T_3$.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!