Identifier
Values
[.,.] => [1] => [1] => 1
[.,[.,.]] => [2,1] => [1,2] => 1
[[.,.],.] => [1,2] => [1,2] => 1
[.,[.,[.,.]]] => [3,2,1] => [1,3,2] => 2
[.,[[.,.],.]] => [2,3,1] => [1,2,3] => 1
[[.,.],[.,.]] => [1,3,2] => [1,2,3] => 1
[[.,[.,.]],.] => [2,1,3] => [1,2,3] => 1
[[[.,.],.],.] => [1,2,3] => [1,2,3] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,4,2,3] => 3
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,3,2,4] => 2
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,2,4,3] => 3
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,3,4,2] => 3
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,3,4] => 1
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,2,4,3] => 3
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,2,3,4] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => [1,2,3,4] => 1
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,3,4] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [1,3,2,4] => 2
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,2,3,4] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,2,3,4] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [1,2,3,4] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,5,2,4,3] => 11
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,4,2,5,3] => 8
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,3,4,2,5] => 3
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,4,2,3,5] => 3
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,3,5,2,4] => 8
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,2,5,3,4] => 6
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,2,4,3,5] => 3
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,3,5,2,4] => 8
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,2,3,5,4] => 4
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,4,5,2,3] => 6
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,4,5] => 2
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,2,4,5,3] => 6
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,4,5,2] => 4
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,2,5,3,4] => 6
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,2,4,3,5] => 3
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,2,3,5,4] => 4
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,2,4,5,3] => 6
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,2,3,4,5] => 1
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [1,2,3,5,4] => 4
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [1,2,3,4,5] => 1
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,3,5,4] => 4
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,3,4,5] => 1
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [1,3,2,4,5] => 2
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [1,2,3,4,5] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,2,3,4,5] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [1,2,3,4,5] => 1
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,4,5] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,4,2,3,5] => 3
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,3,2,4,5] => 2
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,2,4,3,5] => 3
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,3,4,2,5] => 3
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,3,4,5] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,2,4,3,5] => 3
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,2,3,4,5] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [1,2,3,4,5] => 1
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,3,4,5] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,3,2,4,5] => 2
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,2,3,4,5] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,2,3,4,5] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,2,3,4,5] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 26
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 20
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 7
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 11
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 40
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 34
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 74
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 6
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 15
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 21
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 38
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 15
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 15
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 8
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 35
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 20
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 6
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 6
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 20
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 15
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 14
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 10
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 4
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 15
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 15
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 20
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 15
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 5
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 26
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 15
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 3
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 3
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 20
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 20
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 3
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 20
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 10
>>> Load all 625 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 10
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 2
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 10
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 5
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 35
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 20
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 6
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 6
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 20
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 10
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 4
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 20
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 5
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 20
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 3
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 10
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 10
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 10
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 4
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 5
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 10
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 10
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 4
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 5
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 10
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 15
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 5
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 5
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 5
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 5
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 3
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 3
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 3
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 3
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 1
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 2
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 1
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 1
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 11
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 8
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 3
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 3
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 8
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 6
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 8
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 4
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 6
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 2
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 6
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 4
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 6
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 3
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 4
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 6
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 4
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 4
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 2
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 1
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 1
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 3
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 2
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 3
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 3
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 3
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 2
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,7,2,6,3,5,4] => 170
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,6,2,7,3,5,4] => 135
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [1,5,3,6,2,7,4] => 95
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,6,2,5,3,7,4] => 84
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,5,3,7,2,6,4] => 434
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => 12
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [1,4,5,3,7,2,6] => 94
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [1,5,3,7,2,4,6] => 95
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => 38
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,6,2,5,3,4,7] => 26
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,5,3,4,7,2,6] => 105
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [1,4,7,2,6,3,5] => 227
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,5,3,6,2,4,7] => 24
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,4,7,2,5,3,6] => 69
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => 144
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => 266
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => 127
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [1,3,5,4,7,2,6] => 125
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => 74
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => 89
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [1,4,7,2,3,6,5] => 183
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => 151
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => 89
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [1,5,6,2,4,7,3] => 48
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [1,4,7,2,5,6,3] => 126
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [1,3,4,7,2,5,6] => 36
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => 27
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => 20
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,6,2,5,7,3,4] => 80
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,5,7,2,6,3,4] => 110
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [1,4,3,5,7,2,6] => 62
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,5,7,2,4,3,6] => 63
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => 40
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => 235
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => 170
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [1,4,5,7,2,3,6] => 36
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => 15
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,5,7,2,4,6,3] => 117
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => 69
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => 15
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => 15
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,3,5,7,2,4,6] => 64
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => 120
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => 75
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => 25
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => 35
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,2,5,4,7,3,6] => 195
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,2,4,6,3,7,5] => 115
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,2,4,7,3,6,5] => 310
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => 20
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,2,4,7,3,5,6] => 45
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => 81
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => 184
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => 45
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,2,5,7,3,4,6] => 60
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => 20
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => 151
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => 85
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => 32
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => 33
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [1,3,5,7,2,4,6] => 64
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => 85
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => 40
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => 10
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 10
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => 40
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => 27
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [1,4,6,5,7,2,3] => 40
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => 47
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => 15
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => 45
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => 54
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => 36
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => 23
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 15
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => 5
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [1,5,7,2,4,3,6] => 63
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [1,4,2,5,7,3,6] => 89
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => 29
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => 29
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,3,5,7,2,4,6] => 64
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => 60
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => 32
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => 64
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => 40
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => 36
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => 17
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => 45
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => 24
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 6
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,6,7,2,5,3,4] => 71
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,5,2,6,7,3,4] => 60
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => 7
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,5,2,4,3,6,7] => 11
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,4,3,6,7,2,5] => 122
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => 75
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => 250
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => 6
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => 60
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,5,2,4,6,7,3] => 34
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,4,6,7,2,5,3] => 110
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => 45
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => 45
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => 8
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => 160
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => 45
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => 6
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => 6
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => 75
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => 60
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => 17
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => 50
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => 4
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => 45
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => 47
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => 75
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => 45
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => 15
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,5,6,7,2,4,3] => 50
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => 24
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => 3
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => 3
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => 40
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => 50
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => 3
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => 40
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => 20
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => 15
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 2
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => 15
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => 6
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => 120
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => 75
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => 25
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => 35
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,2,5,4,7,3,6] => 195
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,2,4,6,3,7,5] => 115
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,2,4,7,3,6,5] => 310
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => 20
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,2,4,7,3,5,6] => 45
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,2,6,3,5,7,4] => 81
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,2,5,7,3,6,4] => 184
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => 45
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,2,5,7,3,4,6] => 60
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => 20
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => 85
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => 40
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => 10
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => 10
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => 40
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => 45
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => 54
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => 15
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => 5
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => 60
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => 32
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => 40
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => 45
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 6
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => 160
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,2,5,3,6,7,4] => 45
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => 6
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => 6
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => 75
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => 50
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => 4
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => 75
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => 15
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => 50
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => 3
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => 20
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => 15
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => 85
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 40
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => 10
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => 10
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => 40
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => 15
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => 5
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => 40
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 6
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => 50
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => 4
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => 15
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => 20
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => 85
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => 40
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => 10
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => 10
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => 40
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => 15
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => 5
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => 40
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => 6
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => 50
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => 4
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => 15
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => 20
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => 47
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => 15
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => 17
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => 47
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => 15
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => 5
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => 15
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => 15
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => 5
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => 15
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => 15
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => 5
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => 15
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => 15
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 5
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => 15
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => 29
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => 3
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => 17
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => 2
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => 32
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => 3
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => 29
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => 3
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 6
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => 32
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => 3
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => 17
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 2
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [1,5,2,4,3,6,7] => 11
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => 8
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => 3
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => 3
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => 8
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => 6
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => 3
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => 8
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => 4
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => 6
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => 6
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => 4
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => 6
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => 3
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => 4
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => 6
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => 4
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => 4
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 1
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => 3
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => 3
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => 3
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => 3
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [1,6,2,5,3,4,7] => 26
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [1,5,2,6,3,4,7] => 20
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => 7
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [1,5,2,4,3,6,7] => 11
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => 40
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => 34
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => 74
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => 6
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => 15
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [1,5,2,4,6,3,7] => 21
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => 38
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => 15
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => 15
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => 8
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => 35
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => 20
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => 6
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => 6
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => 20
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => 15
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => 14
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => 10
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => 4
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => 15
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => 15
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => 20
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => 15
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 5
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [1,5,6,2,4,3,7] => 26
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => 15
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => 3
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => 3
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => 20
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => 20
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => 3
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => 20
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => 10
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => 10
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => 2
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => 10
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => 5
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => 35
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => 20
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => 6
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => 6
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => 20
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => 10
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => 4
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => 20
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => 5
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => 20
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => 3
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => 10
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => 10
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => 10
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => 4
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 5
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => 10
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => 10
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => 4
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 5
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => 10
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => 15
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => 5
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 5
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => 5
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 5
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => 3
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => 3
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => 3
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => 3
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 2
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [1,5,2,4,3,6,7] => 11
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => 8
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => 3
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => 3
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => 8
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => 6
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => 3
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => 8
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => 4
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => 6
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => 2
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => 6
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => 4
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => 6
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => 3
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => 4
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => 6
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => 4
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => 4
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => 3
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => 2
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => 3
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => 3
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => 3
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 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
click to show known generating functions       
Description
The number of alternating sign matrices whose left key is the permutation.
The left key of an alternating sign matrix was defined by Lascoux
in [2] and is obtained by successively removing all the `-1`'s until what remains is a permutation matrix. This notion corresponds to the notion of left key for semistandard tableaux.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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.