Identifier
Values
[.,.] => [1] => 1
[.,[.,.]] => [2,1] => 1
[[.,.],.] => [1,2] => 1
[.,[.,[.,.]]] => [3,2,1] => 1
[.,[[.,.],.]] => [2,3,1] => 1
[[.,.],[.,.]] => [1,3,2] => 2
[[.,[.,.]],.] => [2,1,3] => 1
[[[.,.],.],.] => [1,2,3] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => 1
[.,[[.,.],[.,.]]] => [2,4,3,1] => 2
[.,[[.,[.,.]],.]] => [3,2,4,1] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => 1
[[.,.],[.,[.,.]]] => [1,4,3,2] => 5
[[.,.],[[.,.],.]] => [1,3,4,2] => 3
[[.,[.,.]],[.,.]] => [2,1,4,3] => 4
[[[.,.],.],[.,.]] => [1,2,4,3] => 3
[[.,[.,[.,.]]],.] => [3,2,1,4] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => 2
[[[.,[.,.]],.],.] => [2,1,3,4] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 1
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 2
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 5
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 3
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 4
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 3
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 1
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 2
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 14
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 9
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 11
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 7
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 4
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 21
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 8
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 14
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 6
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 8
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 6
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 13
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 5
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 4
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 2
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 5
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 3
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 4
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 3
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 2
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 5
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 3
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 4
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 3
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 14
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 9
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 11
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 7
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 4
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 21
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 8
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 14
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 6
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 8
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 6
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 13
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 5
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 4
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 5
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 3
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 4
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 3
>>> Load all 552 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 1
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 2
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 42
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 28
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 37
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 23
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 14
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 58
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 26
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 53
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 19
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 19
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 12
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 14
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 9
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 5
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 135
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 60
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 51
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 38
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 13
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 84
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 40
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 35
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 25
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 10
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 82
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 20
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 56
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 15
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 121
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 32
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 42
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 13
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 30
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 10
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 16
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 12
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 26
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 10
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 8
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 67
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 26
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 41
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 29
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 9
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 7
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 15
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 6
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 5
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 5
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 4
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 3
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 1
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 1
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 14
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 9
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 11
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 7
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 4
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 21
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 14
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 6
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 8
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 6
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 13
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 5
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 4
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 2
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 5
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 3
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 4
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 3
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 2
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => 14
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => 9
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => 11
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => 7
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => 4
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => 14
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => 6
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => 13
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => 4
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => 5
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => 3
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => 3
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => 42
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => 28
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => 37
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => 23
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => 14
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => 58
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => 26
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => 53
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => 19
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => 19
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => 12
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => 14
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => 9
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => 5
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => 135
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => 60
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => 51
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => 38
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => 13
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => 84
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => 40
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => 35
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => 25
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => 10
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => 56
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => 15
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => 121
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => 32
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => 42
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => 13
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => 30
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => 10
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => 26
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => 8
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => 67
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => 26
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => 41
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => 29
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => 7
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => 15
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => 6
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => 5
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => 5
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => 3
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => 3
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => 14
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => 9
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => 11
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => 7
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => 4
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => 21
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => 8
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => 14
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => 6
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => 6
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => 13
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => 5
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => 4
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => 5
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => 3
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => 4
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => 3
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => 2
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => 132
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => 90
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => 124
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => 76
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => 48
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => 211
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => 97
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => 191
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 74
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => 66
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => 43
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => 54
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => 34
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 20
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 378
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 185
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 170
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 120
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 50
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 553
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 154
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 160
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 55
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => 291
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 120
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 154
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 77
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 29
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => 56
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => 37
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 48
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => 30
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 18
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 72
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 32
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 66
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 23
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => 24
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 15
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 17
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 11
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 6
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => 1000
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => 481
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => 465
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => 333
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => 132
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => 520
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => 177
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => 501
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => 97
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => 231
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => 99
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => 78
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => 59
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => 19
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 594
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 300
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 295
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 205
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 90
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 335
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 120
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 320
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 69
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 142
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 66
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 54
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 39
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 15
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => 1101
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => 345
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => 222
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => 184
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => 38
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => 709
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => 232
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => 154
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => 125
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => 29
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 1514
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 496
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 328
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 267
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 61
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => 499
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => 182
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => 119
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => 93
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => 26
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 330
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 125
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 85
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 65
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 20
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => 213
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => 36
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => 463
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => 77
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => 165
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => 31
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => 118
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => 24
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 1186
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 198
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 398
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 79
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => 658
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => 121
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 439
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 84
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => 131
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => 29
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => 93
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => 22
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 200
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 47
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => 74
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => 19
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 55
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 15
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => 52
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => 16
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => 134
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => 52
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => 82
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => 58
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => 14
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => 30
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => 12
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => 10
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => 381
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 162
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 221
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 109
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 43
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => 452
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => 101
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 294
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 71
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => 130
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => 92
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 198
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => 73
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 54
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => 13
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => 28
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => 11
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => 9
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 72
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 29
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => 45
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 32
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => 10
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => 8
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 17
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => 7
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 6
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => 5
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => 3
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => 3
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => 14
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => 9
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => 11
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => 7
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => 4
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => 21
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => 8
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => 14
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => 6
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => 6
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => 13
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => 5
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => 4
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => 2
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => 1
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => 5
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => 3
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => 4
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => 3
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => 1
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => 2
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => 42
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => 28
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 37
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => 23
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 14
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 58
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 26
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 53
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 19
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => 19
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 12
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 14
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 9
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 5
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => 135
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => 60
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => 51
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => 38
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => 13
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 84
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 40
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 35
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 25
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 10
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => 82
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => 20
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => 56
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => 15
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 121
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 32
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => 42
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => 13
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 30
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 10
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => 12
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => 26
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => 10
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => 8
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 67
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 26
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => 41
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 29
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => 9
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => 7
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 15
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => 6
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 5
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => 5
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => 3
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => 4
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => 3
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => 2
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => 14
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 9
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 11
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 7
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 4
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => 21
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => 8
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 14
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 6
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => 8
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => 6
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 13
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => 5
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 4
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => 2
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 5
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 3
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => 4
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 3
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 2
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [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
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.