Identifier
Values
[.,[.,.]] => [2,1] => [1] => [1,0] => 1
[[.,.],.] => [1,2] => [1] => [1,0] => 1
[.,[.,[.,.]]] => [3,2,1] => [2,1] => [1,1,0,0] => 2
[.,[[.,.],.]] => [2,3,1] => [2,1] => [1,1,0,0] => 2
[[.,.],[.,.]] => [1,3,2] => [1,2] => [1,0,1,0] => 1
[[.,[.,.]],.] => [2,1,3] => [2,1] => [1,1,0,0] => 2
[[[.,.],.],.] => [1,2,3] => [1,2] => [1,0,1,0] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [3,2,1] => [1,1,1,0,0,0] => 3
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,2,1] => [1,1,1,0,0,0] => 3
[.,[[.,.],[.,.]]] => [2,4,3,1] => [2,3,1] => [1,1,0,1,0,0] => 2
[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,2,1] => [1,1,1,0,0,0] => 3
[.,[[[.,.],.],.]] => [2,3,4,1] => [2,3,1] => [1,1,0,1,0,0] => 2
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,3,2] => [1,0,1,1,0,0] => 2
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,3,2] => [1,0,1,1,0,0] => 2
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,3] => [1,1,0,0,1,0] => 1
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,3] => [1,0,1,0,1,0] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1] => [1,1,1,0,0,0] => 3
[[.,[[.,.],.]],.] => [2,3,1,4] => [2,3,1] => [1,1,0,1,0,0] => 2
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2] => [1,0,1,1,0,0] => 2
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3] => [1,1,0,0,1,0] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3] => [1,0,1,0,1,0] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [4,3,2,1] => [1,1,1,1,0,0,0,0] => 4
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,3,2,1] => [1,1,1,1,0,0,0,0] => 4
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [3,4,2,1] => [1,1,1,0,1,0,0,0] => 3
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,2,1] => [1,1,1,1,0,0,0,0] => 4
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,4,2,1] => [1,1,1,0,1,0,0,0] => 3
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [2,4,3,1] => [1,1,0,1,1,0,0,0] => 3
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [2,4,3,1] => [1,1,0,1,1,0,0,0] => 3
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [3,2,4,1] => [1,1,1,0,0,1,0,0] => 2
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,1] => [1,1,1,1,0,0,0,0] => 4
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,4,2,1] => [1,1,1,0,1,0,0,0] => 3
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [2,4,3,1] => [1,1,0,1,1,0,0,0] => 3
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,4,1] => [1,1,1,0,0,1,0,0] => 2
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,4,3,2] => [1,0,1,1,1,0,0,0] => 3
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,4,3,2] => [1,0,1,1,1,0,0,0] => 3
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,3,4,2] => [1,0,1,1,0,1,0,0] => 2
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,4,3,2] => [1,0,1,1,1,0,0,0] => 3
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,3,4,2] => [1,0,1,1,0,1,0,0] => 2
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,4,3] => [1,0,1,0,1,1,0,0] => 2
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,4,3] => [1,0,1,0,1,1,0,0] => 2
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,2,1,4] => [1,1,1,0,0,0,1,0] => 1
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,4] => [1,0,1,1,0,0,1,0] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,4] => [1,1,0,0,1,0,1,0] => 1
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1] => [1,1,1,1,0,0,0,0] => 4
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,4,2,1] => [1,1,1,0,1,0,0,0] => 3
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [2,4,3,1] => [1,1,0,1,1,0,0,0] => 3
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,4,1] => [1,1,1,0,0,1,0,0] => 2
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,4,3,2] => [1,0,1,1,1,0,0,0] => 3
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,3,4,2] => [1,0,1,1,0,1,0,0] => 2
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3] => [1,0,1,0,1,1,0,0] => 2
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4] => [1,1,1,0,0,0,1,0] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4] => [1,0,1,1,0,0,1,0] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4] => [1,1,0,0,1,0,1,0] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => 4
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => 4
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => 4
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => 4
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => 3
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => 3
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => 4
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => 4
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => 3
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => 3
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => 4
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => 4
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => 3
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => 4
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => 3
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => 3
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => 3
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => 2
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => 2
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => 4
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => 4
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => 3
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => 3
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => 4
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => 3
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => 3
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => 2
>>> Load all 624 entries. <<<
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 2
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => 2
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => 2
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => 4
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => 4
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => 3
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => 4
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => 3
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => 3
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => 3
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => 2
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => 2
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => 4
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => 3
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => 3
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => 2
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => 2
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => 3
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => 3
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => 3
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => 2
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => 2
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => 2
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => 2
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => 2
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => 1
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 1
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => 1
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => 1
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => 1
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 5
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => 4
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => 4
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => 3
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => 3
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => 4
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => 3
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 2
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => 2
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => 4
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => 3
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => 3
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => 2
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => 3
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => 2
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => 2
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => 2
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 5
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 5
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 5
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 4
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 4
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 5
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 4
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 5
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 5
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 4
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 5
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 4
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 4
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 4
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 5
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 4
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 4
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 4
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 4
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 4
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 3
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 3
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 3
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 3
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 2
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 2
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 2
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 2
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 5
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 4
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 5
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 4
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 4
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 4
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 3
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 3
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 2
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 2
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 2
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 4
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 4
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 3
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 4
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 3
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 3
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 3
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 4
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 3
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 3
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 3
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 3
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 3
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 2
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 1
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 1
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 1
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 1
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 1
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 5
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 4
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 5
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 4
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 4
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 4
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 3
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 3
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 2
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 2
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 4
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 4
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 3
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 4
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 3
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 3
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 2
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 1
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 1
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 1
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 1
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 1
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
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Description
Number of indecomposable injective modules with grade at least 1 in the corresponding Nakayama algebra.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.