Identifier
-
Mp00018:
Binary trees
—left border symmetry⟶
Binary trees
St000201: Binary trees ⟶ ℤ (values match St000196The number of occurrences of the contiguous pattern [[.,.],[.,.)
Values
[.,.] => [.,.] => 1
[.,[.,.]] => [.,[.,.]] => 1
[[.,.],.] => [[.,.],.] => 1
[.,[.,[.,.]]] => [.,[.,[.,.]]] => 1
[.,[[.,.],.]] => [.,[[.,.],.]] => 1
[[.,.],[.,.]] => [[.,[.,.]],.] => 1
[[.,[.,.]],.] => [[.,.],[.,.]] => 2
[[[.,.],.],.] => [[[.,.],.],.] => 1
[.,[.,[.,[.,.]]]] => [.,[.,[.,[.,.]]]] => 1
[.,[.,[[.,.],.]]] => [.,[.,[[.,.],.]]] => 1
[.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => 1
[.,[[.,[.,.]],.]] => [.,[[.,.],[.,.]]] => 2
[.,[[[.,.],.],.]] => [.,[[[.,.],.],.]] => 1
[[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => 1
[[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => 1
[[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => 2
[[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => 1
[[.,[.,[.,.]]],.] => [[.,.],[.,[.,.]]] => 2
[[.,[[.,.],.]],.] => [[.,.],[[.,.],.]] => 2
[[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => 2
[[[.,[.,.]],.],.] => [[[.,.],.],[.,.]] => 2
[[[[.,.],.],.],.] => [[[[.,.],.],.],.] => 1
[.,[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,.]]]]] => 1
[.,[.,[.,[[.,.],.]]]] => [.,[.,[.,[[.,.],.]]]] => 1
[.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => 1
[.,[.,[[.,[.,.]],.]]] => [.,[.,[[.,.],[.,.]]]] => 2
[.,[.,[[[.,.],.],.]]] => [.,[.,[[[.,.],.],.]]] => 1
[.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => 1
[.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => 1
[.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => 2
[.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => 1
[.,[[.,[.,[.,.]]],.]] => [.,[[.,.],[.,[.,.]]]] => 2
[.,[[.,[[.,.],.]],.]] => [.,[[.,.],[[.,.],.]]] => 2
[.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => 2
[.,[[[.,[.,.]],.],.]] => [.,[[[.,.],.],[.,.]]] => 2
[.,[[[[.,.],.],.],.]] => [.,[[[[.,.],.],.],.]] => 1
[[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => 1
[[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => 1
[[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => 1
[[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => 2
[[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => 1
[[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => 2
[[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => 2
[[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => 1
[[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => 1
[[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => 2
[[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => 2
[[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => 2
[[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => 2
[[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => 1
[[.,[.,[.,[.,.]]]],.] => [[.,.],[.,[.,[.,.]]]] => 2
[[.,[.,[[.,.],.]]],.] => [[.,.],[.,[[.,.],.]]] => 2
[[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],.] => [[.,.],[[.,.],[.,.]]] => 3
[[.,[[[.,.],.],.]],.] => [[.,.],[[[.,.],.],.]] => 2
[[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => 2
[[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => 2
[[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => 3
[[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => 2
[[[.,[.,[.,.]]],.],.] => [[[.,.],.],[.,[.,.]]] => 2
[[[.,[[.,.],.]],.],.] => [[[.,.],.],[[.,.],.]] => 2
[[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => 2
[[[[.,[.,.]],.],.],.] => [[[[.,.],.],.],[.,.]] => 2
[[[[[.,.],.],.],.],.] => [[[[[.,.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => 2
[.,[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[[[.,.],.],.]]]] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [.,[.,[[.,.],[.,[.,.]]]]] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [.,[.,[[.,.],[[.,.],.]]]] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [.,[.,[[[.,.],.],[.,.]]]] => 2
[.,[.,[[[[.,.],.],.],.]]] => [.,[.,[[[[.,.],.],.],.]]] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => 2
[.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => 2
[.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => 1
[.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => 2
[.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => 2
[.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [.,[[.,.],[.,[.,[.,.]]]]] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [.,[[.,.],[.,[[.,.],.]]]] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [.,[[.,.],[[.,.],[.,.]]]] => 3
[.,[[.,[[[.,.],.],.]],.]] => [.,[[.,.],[[[.,.],.],.]]] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => 2
[.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => 3
[.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => 2
>>> Load all 1098 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [.,[[[.,.],.],[.,[.,.]]]] => 2
[.,[[[.,[[.,.],.]],.],.]] => [.,[[[.,.],.],[[.,.],.]]] => 2
[.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => 2
[.,[[[[.,[.,.]],.],.],.]] => [.,[[[[.,.],.],.],[.,.]]] => 2
[.,[[[[[.,.],.],.],.],.]] => [.,[[[[[.,.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => 2
[[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => 1
[[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => 2
[[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => 2
[[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => 2
[[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => 2
[[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => 2
[[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => 3
[[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => 1
[[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => 1
[[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => 2
[[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => 2
[[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => 2
[[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => 2
[[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => 2
[[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => 2
[[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => 2
[[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => 1
[[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => 3
[[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => 2
[[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => 2
[[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => 3
[[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => 2
[[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => 2
[[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => 2
[[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => 2
[[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[[.,[.,[.,[[.,.],.]]]],.] => [[.,.],[.,[.,[[.,.],.]]]] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [[.,.],[.,[[.,.],[.,.]]]] => 3
[[.,[.,[[[.,.],.],.]]],.] => [[.,.],[.,[[[.,.],.],.]]] => 2
[[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => 2
[[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => 3
[[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => 2
[[.,[[.,[.,[.,.]]],.]],.] => [[.,.],[[.,.],[.,[.,.]]]] => 3
[[.,[[.,[[.,.],.]],.]],.] => [[.,.],[[.,.],[[.,.],.]]] => 3
[[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => 3
[[.,[[[.,[.,.]],.],.]],.] => [[.,.],[[[.,.],.],[.,.]]] => 3
[[.,[[[[.,.],.],.],.]],.] => [[.,.],[[[[.,.],.],.],.]] => 2
[[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => 2
[[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => 2
[[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => 2
[[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => 3
[[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => 3
[[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => 3
[[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => 2
[[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => 3
[[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => 3
[[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => 3
[[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => 2
[[[.,[.,[.,[.,.]]]],.],.] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[[[.,[.,[[.,.],.]]],.],.] => [[[.,.],.],[.,[[.,.],.]]] => 2
[[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => 2
[[[.,[[.,[.,.]],.]],.],.] => [[[.,.],.],[[.,.],[.,.]]] => 3
[[[.,[[[.,.],.],.]],.],.] => [[[.,.],.],[[[.,.],.],.]] => 2
[[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => 2
[[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => 2
[[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => 3
[[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => 2
[[[[.,[.,[.,.]]],.],.],.] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[[[.,[[.,.],.]],.],.],.] => [[[[.,.],.],.],[[.,.],.]] => 2
[[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => 2
[[[[[.,[.,.]],.],.],.],.] => [[[[[.,.],.],.],.],[.,.]] => 2
[[[[[[.,.],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 2
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 2
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 2
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => 1
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 2
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 1
[.,[.,[[[.,.],.],[[.,.],.]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 2
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 2
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 2
[.,[.,[[[[.,.],.],.],[.,.]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 2
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 3
[.,[.,[[.,[[[.,.],.],.]],.]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => 2
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 2
[.,[.,[[[.,.],[[.,.],.]],.]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => 2
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 3
[.,[.,[[[[.,.],.],[.,.]],.]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => 2
[.,[.,[[[[.,.],[.,.]],.],.]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => 2
[.,[[.,.],[.,[[[.,.],.],.]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => 1
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[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 3
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[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
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[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 2
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 3
[[.,[.,[[[.,.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 2
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 3
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => 2
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 3
[[.,[[.,[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 3
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 3
[[.,[[[.,[.,.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 3
[[.,[[[[.,.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],.]] => 2
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 2
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => 2
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => 3
[[[.,.],[[[.,.],.],.]],[.,.]] => [[[.,[.,.]],[[[.,.],.],.]],.] => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 3
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => 2
[[[[.,.],.],[[.,.],.]],[.,.]] => [[[[.,[.,.]],[[.,.],.]],.],.] => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 3
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],.],.],.] => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 2
[[[.,[.,[[.,.],.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 3
[[[.,[[[.,.],.],.]],.],[.,.]] => [[[.,[.,.]],.],[[[.,.],.],.]] => 2
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 2
[[[[.,.],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],.] => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 3
[[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[.,[.,.]],.],[.,.]],.],.] => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],[.,.]],.] => 2
[[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],[.,.]] => 2
[[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 2
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => 2
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 3
[[.,[.,[.,[[[.,.],.],.]]]],.] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 2
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [[.,.],[.,[[.,[[.,.],.]],.]]] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 3
[[.,[.,[[[.,.],.],[.,.]]]],.] => [[.,.],[.,[[[.,[.,.]],.],.]]] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 3
[[.,[.,[[.,[[.,.],.]],.]]],.] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 3
[[.,[.,[[[.,.],[.,.]],.]]],.] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 3
[[.,[.,[[[.,[.,.]],.],.]]],.] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 3
[[.,[.,[[[[.,.],.],.],.]]],.] => [[.,.],[.,[[[[.,.],.],.],.]]] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 2
[[.,[[.,.],[.,[[.,.],.]]]],.] => [[.,.],[[.,[.,[[.,.],.]]],.]] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [[.,.],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[.,.],[[.,[.,.]],.]]],.] => [[.,.],[[.,[[.,.],[.,.]]],.]] => 3
[[.,[[.,.],[[[.,.],.],.]]],.] => [[.,.],[[.,[[[.,.],.],.]],.]] => 2
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 3
[[.,[[.,[.,.]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 3
[[.,[[[.,.],.],[.,[.,.]]]],.] => [[.,.],[[[.,[.,[.,.]]],.],.]] => 2
[[.,[[[.,.],.],[[.,.],.]]],.] => [[.,.],[[[.,[[.,.],.]],.],.]] => 2
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 3
[[.,[[.,[[.,.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 3
[[.,[[[.,.],[.,.]],[.,.]]],.] => [[.,.],[[[.,[.,.]],[.,.]],.]] => 3
[[.,[[[.,[.,.]],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],[.,.]]] => 3
[[.,[[[[.,.],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],.]] => 2
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 3
[[.,[[.,[.,[[.,.],.]]],.]],.] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 3
[[.,[[.,[[.,.],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 3
[[.,[[.,[[.,[.,.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 4
[[.,[[.,[[[.,.],.],.]],.]],.] => [[.,.],[[.,.],[[[.,.],.],.]]] => 3
[[.,[[[.,.],[.,[.,.]]],.]],.] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 3
[[.,[[[.,.],[[.,.],.]],.]],.] => [[.,.],[[[.,.],[[.,.],.]],.]] => 3
[[.,[[[.,[.,.]],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 4
[[.,[[[[.,.],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],.]] => 3
[[.,[[[.,[.,[.,.]]],.],.]],.] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 3
[[.,[[[.,[[.,.],.]],.],.]],.] => [[.,.],[[[.,.],.],[[.,.],.]]] => 3
[[.,[[[[.,.],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],.]] => 3
[[.,[[[[.,[.,.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[.,.]]] => 3
[[.,[[[[[.,.],.],.],.],.]],.] => [[.,.],[[[[[.,.],.],.],.],.]] => 2
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 2
[[[.,.],[.,[.,[[.,.],.]]]],.] => [[[.,.],[.,[.,[[.,.],.]]]],.] => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [[[.,.],[.,[[.,[.,.]],.]]],.] => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 3
[[[.,.],[.,[[[.,.],.],.]]],.] => [[[.,.],[.,[[[.,.],.],.]]],.] => 2
[[[.,.],[[.,.],[.,[.,.]]]],.] => [[[.,.],[[.,[.,[.,.]]],.]],.] => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [[[.,.],[[.,[[.,.],.]],.]],.] => 2
[[[.,.],[[.,[.,.]],[.,.]]],.] => [[[.,.],[[.,[.,.]],[.,.]]],.] => 3
[[[.,.],[[[.,.],.],[.,.]]],.] => [[[.,.],[[[.,[.,.]],.],.]],.] => 2
[[[.,.],[[.,[.,[.,.]]],.]],.] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 3
[[[.,.],[[.,[[.,.],.]],.]],.] => [[[.,.],[[.,.],[[.,.],.]]],.] => 3
[[[.,.],[[[.,.],[.,.]],.]],.] => [[[.,.],[[[.,.],[.,.]],.]],.] => 3
[[[.,.],[[[.,[.,.]],.],.]],.] => [[[.,.],[[[.,.],.],[.,.]]],.] => 3
[[[.,.],[[[[.,.],.],.],.]],.] => [[[.,.],[[[[.,.],.],.],.]],.] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 3
[[[.,[.,.]],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 3
[[[.,[.,.]],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],[.,.]] => 3
[[[.,[.,.]],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 4
[[[.,[.,.]],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[[[[.,.],.],[.,[.,[.,.]]]],.] => [[[[.,.],[.,[.,[.,.]]]],.],.] => 2
[[[[.,.],.],[.,[[.,.],.]]],.] => [[[[.,.],[.,[[.,.],.]]],.],.] => 2
[[[[.,.],.],[[.,.],[.,.]]],.] => [[[[.,.],[[.,[.,.]],.]],.],.] => 2
[[[[.,.],.],[[.,[.,.]],.]],.] => [[[[.,.],[[.,.],[.,.]]],.],.] => 3
[[[[.,.],.],[[[.,.],.],.]],.] => [[[[.,.],[[[.,.],.],.]],.],.] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 3
[[[.,[.,[.,.]]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 3
[[[.,[[.,.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 3
[[[.,[[.,.],.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[[[[.,.],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 3
[[[[.,.],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[[[[.,[.,.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,.]] => 3
[[[[.,[.,.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[.,.]] => 3
[[[[[.,.],.],.],[.,[.,.]]],.] => [[[[[.,.],[.,[.,.]]],.],.],.] => 2
[[[[[.,.],.],.],[[.,.],.]],.] => [[[[[.,.],[[.,.],.]],.],.],.] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 3
[[[.,[.,[[.,.],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 3
[[[.,[[.,.],[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 3
[[[.,[[.,[.,.]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 4
[[[.,[[[.,.],.],.]],[.,.]],.] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[[[[.,.],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 3
[[[[.,.],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[[[[.,[.,.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 4
[[[[[.,.],.],[.,.]],[.,.]],.] => [[[[[.,.],[.,.]],[.,.]],.],.] => 3
[[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 3
[[[[.,[[.,.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],.]] => 3
[[[[[.,.],[.,.]],.],[.,.]],.] => [[[[[.,.],[.,.]],.],[.,.]],.] => 3
[[[[[.,[.,.]],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],[.,.]] => 3
[[[[[[.,.],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],.] => 2
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[.,[.,[.,[[.,.],.]]]],.],.] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 2
[[[.,[.,[[.,.],[.,.]]]],.],.] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 3
[[[.,[.,[[[.,.],.],.]]],.],.] => [[[.,.],.],[.,[[[.,.],.],.]]] => 2
[[[.,[[.,.],[.,[.,.]]]],.],.] => [[[.,.],.],[[.,[.,[.,.]]],.]] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [[[.,.],.],[[.,[[.,.],.]],.]] => 2
[[[.,[[.,[.,.]],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 3
[[[.,[[[.,.],.],[.,.]]],.],.] => [[[.,.],.],[[[.,[.,.]],.],.]] => 2
[[[.,[[.,[.,[.,.]]],.]],.],.] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 3
[[[.,[[.,[[.,.],.]],.]],.],.] => [[[.,.],.],[[.,.],[[.,.],.]]] => 3
[[[.,[[[.,.],[.,.]],.]],.],.] => [[[.,.],.],[[[.,.],[.,.]],.]] => 3
[[[.,[[[.,[.,.]],.],.]],.],.] => [[[.,.],.],[[[.,.],.],[.,.]]] => 3
[[[.,[[[[.,.],.],.],.]],.],.] => [[[.,.],.],[[[[.,.],.],.],.]] => 2
[[[[.,.],[.,[.,[.,.]]]],.],.] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 2
[[[[.,.],[.,[[.,.],.]]],.],.] => [[[[.,.],.],[.,[[.,.],.]]],.] => 2
[[[[.,.],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],.] => 2
[[[[.,.],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],.] => 3
[[[[.,.],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],.] => 2
[[[[.,[.,.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 3
[[[[.,[.,.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[.,.]] => 3
[[[[[.,.],.],[.,[.,.]]],.],.] => [[[[[.,.],.],[.,[.,.]]],.],.] => 2
[[[[[.,.],.],[[.,.],.]],.],.] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 3
[[[[.,[[.,.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],.]] => 3
[[[[[.,.],[.,.]],[.,.]],.],.] => [[[[[.,.],.],[.,.]],[.,.]],.] => 3
[[[[[.,[.,.]],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],[.,.]] => 3
[[[[[[.,.],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],.] => 2
[[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[[.,[.,[[.,.],.]]],.],.],.] => [[[[.,.],.],.],[.,[[.,.],.]]] => 2
[[[[.,[[.,.],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],.]] => 2
[[[[.,[[.,[.,.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[.,.]]] => 3
[[[[.,[[[.,.],.],.]],.],.],.] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[[[[[.,.],[.,[.,.]]],.],.],.] => [[[[[.,.],.],.],[.,[.,.]]],.] => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[[[[[.,[.,.]],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],[.,.]] => 3
[[[[[[.,.],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],.] => 2
[[[[[.,[.,[.,.]]],.],.],.],.] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[[[[.,[[.,.],.]],.],.],.],.] => [[[[[.,.],.],.],.],[[.,.],.]] => 2
[[[[[[.,.],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],.] => 2
[[[[[[.,[.,.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[.,.]] => 2
[[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],.] => 1
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 1
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 2
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 3
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => 3
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 1
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 1
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => 2
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 3
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 1
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 3
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 3
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 3
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 4
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 4
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 3
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 2
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 3
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 2
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => 1
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => 1
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => 2
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => 1
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => 1
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => 2
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => 1
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => 2
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => 2
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => 2
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => 3
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => 3
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => 2
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => 3
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => 3
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => 3
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => 3
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => 2
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => 2
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => 2
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => 3
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => 3
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => 4
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => 2
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => 3
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => 2
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => 2
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => 3
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => 3
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => 3
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => 3
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => 3
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => 3
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => 3
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => 3
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => 2
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => 2
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 2
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 2
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => 3
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => 3
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => 3
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => 3
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => 3
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => 4
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => 3
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => 3
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => 4
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => 3
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => 3
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => 3
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => 4
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => 3
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => 4
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => 3
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => 3
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => 3
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => 3
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => 3
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => 2
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => 3
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => 2
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 2
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 2
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 2
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 2
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 3
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 3
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 3
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 4
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 3
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 3
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 4
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 4
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 4
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 4
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 4
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => 2
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => 3
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => 3
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => 3
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => 3
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => 3
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => 3
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => 4
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => 4
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 3
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => 3
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => 3
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => 4
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => 4
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => 3
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => 4
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => 3
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => 4
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => 4
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 4
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => 4
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => 3
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => 4
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => 3
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => 3
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => 3
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => 3
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => 3
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => 3
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => 4
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => 3
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 3
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => 3
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => 3
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => 3
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => 4
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => 3
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => 3
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => 3
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => 3
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => 3
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => 3
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => 2
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => 2
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => 3
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => 3
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => 2
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => 3
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => 2
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[[[[[[[.,.],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],.] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => 1
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => 1
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 3
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 2
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => 2
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => 1
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => 2
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => [[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => 3
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => 2
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => 3
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => 2
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => 2
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => 3
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => 4
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => [[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => 3
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => [[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => 3
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => [[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => 3
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => [[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => 3
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => [[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => 3
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => 4
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => 5
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => 1
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => 3
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]],.] => 2
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]]],.] => 3
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]]],.] => 3
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]] => [[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]]],.] => 3
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]] => [[.,[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]],.] => 2
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]],.] => 3
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]] => [[.,[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]],.] => 2
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => 2
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.] => 3
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.]] => [[.,[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]]],.] => 3
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => 3
[[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => [[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => 4
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]] => 3
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.]] => 3
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => 3
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]],.] => [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]] => 3
[[.,[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]],.] => [[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]] => 4
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => [[.,.],[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.]] => 3
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]] => 3
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 3
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 3
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 4
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 3
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => 4
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 4
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 3
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 4
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 5
[.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => 4
[.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => 4
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => 3
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => 4
[.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 4
[.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 4
[.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 4
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => 5
[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => 4
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => 4
[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 4
[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => 5
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => 3
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => 4
[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => 5
[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 4
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 5
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 4
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 4
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 4
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 5
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 6
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => 2
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => 2
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => 1
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 2
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => 2
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => 2
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 3
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 2
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => 2
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => 1
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => 5
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => 5
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => 5
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => 5
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => 5
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => 5
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => 5
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => 5
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => 5
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => 6
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]] => 6
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]] => 6
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]] => 6
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]] => 6
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]] => 6
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]] => 6
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => 6
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => 6
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => 6
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => 6
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => 6
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => 6
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => 6
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => 6
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => 6
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => 6
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => 6
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => 6
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => 6
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => 6
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] => [.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => 2
[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => 4
[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => 4
[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => 4
[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => 4
[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => 4
[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] => [[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => 2
[.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]] => 5
[.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]] => 5
[.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]] => [.,[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]] => 5
[.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]] => [.,[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]] => 5
[.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]] => [.,[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => 5
[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]]] => 5
[.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]]] => 5
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]]] => 5
[.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]] => [.,[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]]] => 5
[.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]] => [.,[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]]] => 5
[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]] => [.,[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]]] => 5
[.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]] => [.,[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]]] => 5
[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [.,[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]]] => 5
[[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]],[.,.]] => [[.,[.,.]],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => 5
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]] => [[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.] => 2
[[[[.,[[.,[.,[.,.]]],.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => 4
[[[.,[[.,[.,[.,.]]],.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => 4
[.,[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => 4
[.,[[[.,[[[.,.],[.,.]],.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => 4
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 2
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => 2
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 1
[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 2
[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 2
[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 2
[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 3
[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 2
[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 3
[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 2
[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 3
[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 3
[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 3
[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 3
[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 4
[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 3
[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 3
[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 4
[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 3
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 3
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 3
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 4
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 3
[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 3
[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 3
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 3
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => 4
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 4
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => 4
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]] => [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => 1
[.,[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]] => [.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => 2
[.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]] => [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => 2
[.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]] => [.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => 2
[.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]] => [.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => 3
[.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]] => [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]] => [.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => 3
[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]] => [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => 2
[.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]] => [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => 3
[.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]] => [.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => 2
[.,[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]] => [.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => 3
[.,[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]] => [.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => 3
[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]] => [.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => 3
[.,[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]] => [.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => 4
[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]] => [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]] => [.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 3
[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 3
[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]] => [.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 3
[.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]] => [.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 4
[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => 2
[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]] => [.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => 3
[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 3
[.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]] => [.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 4
[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]] => [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => 2
[.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]] => [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => 3
[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]] => [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 3
[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]] => [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => 3
[.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 4
[.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => 2
[.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => 3
[.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => 3
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => 3
[.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 3
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => 3
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]] => [[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 3
[[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 3
[[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]] => [[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 3
[[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 4
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 3
[[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]] => [[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 4
[[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 3
[[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 4
[[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 3
[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 4
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]] => [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 4
[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]] => [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 4
[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]] => [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 5
[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 3
[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 3
[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 3
[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 4
[[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 3
[[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 4
[[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 4
[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 4
[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 5
[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => 3
[[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 3
[[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]] => [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 4
[[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 3
[[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]] => [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 4
[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 3
[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 4
[[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 4
[[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 5
[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => 3
[[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 3
[[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 4
[[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 3
[[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 4
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 3
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 4
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => 3
[[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 4
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 4
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 4
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 5
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => 2
[[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]] => [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => 3
[[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]] => [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => 3
[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] => [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => 3
[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] => [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => 4
[[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] => [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 3
[[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] => [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 4
[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] => [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => 3
[[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] => [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 4
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]] => [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => 3
[[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]] => [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 3
[[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]] => [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 4
[[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]] => [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 4
[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]] => [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 4
[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 3
[[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 4
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]] => [[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => 3
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => 3
[[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => 4
[[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 4
[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => 5
[[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 4
[[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => 5
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 4
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 5
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => 4
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => 5
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => 5
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => 5
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => 1
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => 2
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => 3
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => 2
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => 2
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => 1
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:
4,1 8,6 16,24,2 32,80,20 64,240,120,5
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + q^{2}$
$F_{4} = 8\ q + 6\ q^{2}$
$F_{5} = 16\ q + 24\ q^{2} + 2\ q^{3}$
$F_{6} = 32\ q + 80\ q^{2} + 20\ q^{3}$
$F_{7} = 64\ q + 240\ q^{2} + 120\ q^{3} + 5\ q^{4}$
Description
The number of leaf nodes in a binary tree.
Equivalently, the number of cherries [1] in the complete binary tree.
The number of binary trees of size $n$, at least $1$, with exactly one leaf node for is $2^{n-1}$, see [2].
The number of binary tree of size $n$, at least $3$, with exactly two leaf nodes is $n(n+1)2^{n-2}$, see [3].
Equivalently, the number of cherries [1] in the complete binary tree.
The number of binary trees of size $n$, at least $1$, with exactly one leaf node for is $2^{n-1}$, see [2].
The number of binary tree of size $n$, at least $3$, with exactly two leaf nodes is $n(n+1)2^{n-2}$, see [3].
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
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