Identifier
Values
[.,.] => [1] => 1
[.,[.,.]] => [2,1] => 2
[[.,.],.] => [1,2] => 1
[.,[.,[.,.]]] => [3,2,1] => 3
[.,[[.,.],.]] => [2,3,1] => 3
[[.,.],[.,.]] => [1,3,2] => 1
[[.,[.,.]],.] => [2,1,3] => 2
[[[.,.],.],.] => [1,2,3] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => 4
[.,[.,[[.,.],.]]] => [3,4,2,1] => 4
[.,[[.,.],[.,.]]] => [2,4,3,1] => 4
[.,[[.,[.,.]],.]] => [3,2,4,1] => 4
[.,[[[.,.],.],.]] => [2,3,4,1] => 4
[[.,.],[.,[.,.]]] => [1,4,3,2] => 1
[[.,.],[[.,.],.]] => [1,3,4,2] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => 2
[[[.,.],.],[.,.]] => [1,2,4,3] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => 3
[[.,[[.,.],.]],.] => [2,3,1,4] => 3
[[[.,.],[.,.]],.] => [1,3,2,4] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => 2
[[[[.,.],.],.],.] => [1,2,3,4] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 5
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 5
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 5
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 5
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 5
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 5
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 5
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 5
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 5
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 5
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 5
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 5
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 5
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 5
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 1
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 1
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 1
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 2
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 2
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 1
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 1
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 3
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 3
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 2
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 4
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 4
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 4
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 4
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 4
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 1
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 3
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 3
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 2
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 6
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 6
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 6
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 6
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 6
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 6
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 6
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 6
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 6
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 6
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 6
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 6
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 6
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 6
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 6
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 6
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 6
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 6
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 6
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 6
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 6
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 6
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 6
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 6
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 6
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 6
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 6
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 6
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 6
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 6
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 6
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 6
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 6
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 6
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 6
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 6
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 6
>>> Load all 305 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 6
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 6
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 6
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 6
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 6
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 2
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 1
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 3
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 3
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 3
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 3
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 1
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 2
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 2
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 1
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 4
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 4
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 4
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 4
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 4
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 1
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 2
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 3
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 3
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 1
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 2
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 5
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 5
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 5
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 5
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 5
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 5
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 5
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 5
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 5
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 5
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 5
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 5
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 5
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 5
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 1
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 2
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 2
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 1
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 3
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 3
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 1
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 2
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 4
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 4
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 4
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 4
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 4
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 2
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 3
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 3
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 2
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 1
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 1
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 1
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 1
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 1
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 1
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 1
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 1
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 1
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 1
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 1
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 1
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 1
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 1
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 1
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 1
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 1
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 1
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 1
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 1
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 1
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 1
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 1
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Description
The size of the first part in the decomposition of a permutation.
For a permutation $\pi$ of $\{1,\ldots,n\}$, this is defined to be the smallest $k > 0$ such that $\{\pi(1),\ldots,\pi(k)\} = \{1,\ldots,k\}$. This statistic is undefined for the empty permutation.
For the number of parts in the decomposition see St000056The decomposition (or block) number of a permutation..
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.