Identifier
Values
[.,.] => [1] => 0
[.,[.,.]] => [2,1] => 0
[[.,.],.] => [1,2] => 0
[.,[.,[.,.]]] => [3,2,1] => 0
[.,[[.,.],.]] => [2,3,1] => 0
[[.,.],[.,.]] => [1,3,2] => 0
[[.,[.,.]],.] => [2,1,3] => 0
[[[.,.],.],.] => [1,2,3] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => 0
[[[.,.],[.,.]],.] => [1,3,2,4] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 0
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 0
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 0
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 0
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 0
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 0
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 0
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 0
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 2
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 0
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 0
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 0
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 3
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 2
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 2
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 0
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 2
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 0
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 0
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 0
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 0
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 0
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 0
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 2
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 0
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 0
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 0
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 3
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 2
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 2
>>> Load all 492 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 0
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 0
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 2
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 0
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 0
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 2
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 3
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 2
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 2
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 2
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 2
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 2
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 0
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 3
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 3
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 0
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 0
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 6
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 4
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 4
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 0
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 3
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 0
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 0
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 0
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 0
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 3
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 2
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 2
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 0
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 0
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 0
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 0
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 6
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 5
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 5
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 5
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 3
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 6
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 4
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 6
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 4
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 3
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 3
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 3
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 3
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 0
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 2
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 0
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 0
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 6
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 4
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 4
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 4
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 0
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 3
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => 0
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => 0
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => 0
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => 0
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => 0
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => 0
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => 0
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => 0
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => 0
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 0
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => 3
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 0
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 0
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 0
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 0
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 3
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 3
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 4
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 4
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 3
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 0
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => 6
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 5
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 3
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 6
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 4
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 6
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 3
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 4
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 4
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 3
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 0
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 0
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 0
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 0
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 0
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 4
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 6
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 4
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 3
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 4
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 4
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 4
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 4
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 7
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 4
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 3
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 9
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 9
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 6
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 6
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 6
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 4
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 4
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => 0
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 10
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 9
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 12
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 8
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 10
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 6
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 9
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 6
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 4
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => 0
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => 0
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => 3
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => 0
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => 0
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => 6
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => 0
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => 0
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 9
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 7
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 10
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 8
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 7
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 4
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 12
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 10
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 9
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 10
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 6
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 13
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 10
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 9
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 6
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 13
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 10
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 10
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 8
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 4
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 10
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 10
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 9
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 6
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 12
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 8
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 10
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 6
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 9
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 6
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 6
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 4
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => 0
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => 0
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => 0
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => 0
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => 4
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => 0
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => 0
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => 12
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => 0
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => 0
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => 0
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => 0
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => 4
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => 10
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => 4
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => 10
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => 0
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => 0
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => 0
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => 0
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => 0
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => 0
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => 0
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => 1
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => 0
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => 0
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => 3
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => 0
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => 4
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => 12
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => 10
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => 0
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => 10
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => 10
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => 0
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => 6
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => 0
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => 0
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => 4
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => 8
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => 0
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => 4
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => 0
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => 8
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => 8
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => 12
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => 0
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => 6
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => 0
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => 0
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => 0
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => 6
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => 24
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => 18
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => 18
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => 8
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => 12
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => 8
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => 16
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => 0
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => 0
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => 1
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => 0
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => 0
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => 3
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => 0
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => 12
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => 4
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => 10
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => 0
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => 24
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => 16
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => 19
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => 14
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => 10
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => 5
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => 0
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => 0
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => 16
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => 0
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => 14
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => 9
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => 5
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => 0
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => 40
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => 0
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => 0
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => 0
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => 0
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => 0
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => 0
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => 0
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => 0
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => 0
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => 0
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => 0
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => 0
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => 0
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => 0
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => 0
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => 0
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => 0
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => 0
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => 0
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => 0
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => 0
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => 0
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => 0
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => 0
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Description
The number of occurrences of the pattern 1324 in a permutation.
There is no explicit formula known for the number of permutations avoiding this pattern (denoted by $S_n(1324)$), but it is shown in [1], improving bounds in [2] and [3] that
$$\lim_{n \rightarrow \infty} \sqrt[n]{S_n(1324)} \leq 13.73718.$$
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.