Identifier
Values
[1,0] => [2,1] => [1,2] => [.,[.,.]] => 2
[1,0,1,0] => [3,1,2] => [1,3,2] => [.,[[.,.],.]] => 2
[1,1,0,0] => [2,3,1] => [1,2,3] => [.,[.,[.,.]]] => 3
[1,0,1,0,1,0] => [4,1,2,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => 2
[1,0,1,1,0,0] => [3,1,4,2] => [1,3,4,2] => [.,[[.,.],[.,.]]] => 3
[1,1,0,0,1,0] => [2,4,1,3] => [1,2,4,3] => [.,[.,[[.,.],.]]] => 3
[1,1,0,1,0,0] => [4,3,1,2] => [1,4,2,3] => [.,[[.,[.,.]],.]] => 2
[1,1,1,0,0,0] => [2,3,4,1] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => 4
[1,0,1,0,1,0,1,0] => [5,1,2,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 2
[1,0,1,0,1,1,0,0] => [4,1,2,5,3] => [1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => 3
[1,0,1,1,0,0,1,0] => [3,1,5,2,4] => [1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => 3
[1,0,1,1,0,1,0,0] => [5,1,4,2,3] => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => 2
[1,0,1,1,1,0,0,0] => [3,1,4,5,2] => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => 4
[1,1,0,0,1,0,1,0] => [2,5,1,3,4] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => 3
[1,1,0,0,1,1,0,0] => [2,4,1,5,3] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => 4
[1,1,0,1,0,0,1,0] => [5,3,1,2,4] => [1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => 2
[1,1,0,1,0,1,0,0] => [5,4,1,2,3] => [1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => 2
[1,1,0,1,1,0,0,0] => [4,3,1,5,2] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => 3
[1,1,1,0,0,0,1,0] => [2,3,5,1,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => 4
[1,1,1,0,0,1,0,0] => [2,5,4,1,3] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => 3
[1,1,1,0,1,0,0,0] => [5,3,4,1,2] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => 2
[1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => 5
[1,0,1,0,1,0,1,0,1,0] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 2
[1,0,1,0,1,0,1,1,0,0] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => 3
[1,0,1,0,1,1,0,0,1,0] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => 3
[1,0,1,0,1,1,0,1,0,0] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => 2
[1,0,1,0,1,1,1,0,0,0] => [4,1,2,5,6,3] => [1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => 4
[1,0,1,1,0,0,1,0,1,0] => [3,1,6,2,4,5] => [1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => 3
[1,0,1,1,0,0,1,1,0,0] => [3,1,5,2,6,4] => [1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => 4
[1,0,1,1,0,1,0,0,1,0] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => 2
[1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => 2
[1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => 3
[1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,2,5] => [1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => 4
[1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => [1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => 3
[1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => 2
[1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => 5
[1,1,0,0,1,0,1,0,1,0] => [2,6,1,3,4,5] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => 3
[1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4] => [1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => 4
[1,1,0,0,1,1,0,0,1,0] => [2,4,1,6,3,5] => [1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => 4
[1,1,0,0,1,1,0,1,0,0] => [2,6,1,5,3,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => 3
[1,1,0,0,1,1,1,0,0,0] => [2,4,1,5,6,3] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => 5
[1,1,0,1,0,0,1,0,1,0] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => 2
[1,1,0,1,0,0,1,1,0,0] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => 3
[1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => 2
[1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => [1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => 3
[1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => 3
[1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => [1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => 3
[1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => [1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => 2
[1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => 2
[1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => 4
[1,1,1,0,0,0,1,0,1,0] => [2,3,6,1,4,5] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => 4
[1,1,1,0,0,0,1,1,0,0] => [2,3,5,1,6,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => 5
[1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => 3
[1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => [1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => 3
[1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => 4
[1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => 2
[1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => [1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => 2
[1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => 2
[1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => 3
[1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => 5
[1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => 4
[1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => 3
[1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => 2
[1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6
[1,0,1,0,1,0,1,0,1,0,1,0] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 2
[1,0,1,0,1,0,1,0,1,1,0,0] => [6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => 3
[1,0,1,0,1,0,1,1,0,0,1,0] => [5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => 3
[1,0,1,0,1,0,1,1,0,1,0,0] => [7,1,2,3,6,4,5] => [1,7,5,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => 2
[1,0,1,0,1,0,1,1,1,0,0,0] => [5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 4
[1,0,1,0,1,1,0,0,1,0,1,0] => [4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => [.,[[[.,.],.],[[[.,.],.],.]]] => 3
[1,0,1,0,1,1,0,0,1,1,0,0] => [4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 4
[1,0,1,0,1,1,0,1,0,0,1,0] => [7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => 2
[1,0,1,0,1,1,0,1,0,1,0,0] => [7,1,2,6,3,4,5] => [1,7,5,3,2,4,6] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 2
[1,0,1,0,1,1,0,1,1,0,0,0] => [6,1,2,5,3,7,4] => [1,6,7,4,5,3,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 3
[1,0,1,0,1,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6] => [1,4,5,7,6,3,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 4
[1,0,1,0,1,1,1,0,0,1,0,0] => [4,1,2,7,6,3,5] => [1,4,7,5,6,3,2] => [.,[[[.,.],.],[[.,[.,.]],.]]] => 3
[1,0,1,0,1,1,1,0,1,0,0,0] => [7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2
[1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,2,5,6,7,3] => [1,4,5,6,7,3,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 5
[1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => [.,[[.,.],[[[[.,.],.],.],.]]] => 3
[1,0,1,1,0,0,1,0,1,1,0,0] => [3,1,6,2,4,7,5] => [1,3,6,7,5,4,2] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 4
[1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,2,7,4,6] => [1,3,5,7,6,4,2] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 4
[1,0,1,1,0,0,1,1,0,1,0,0] => [3,1,7,2,6,4,5] => [1,3,7,5,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 3
[1,0,1,1,0,0,1,1,1,0,0,0] => [3,1,5,2,6,7,4] => [1,3,5,6,7,4,2] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 5
[1,0,1,1,0,1,0,0,1,0,1,0] => [7,1,4,2,3,5,6] => [1,7,6,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2
[1,0,1,1,0,1,0,0,1,1,0,0] => [6,1,4,2,3,7,5] => [1,6,7,5,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 3
[1,0,1,1,0,1,0,1,0,0,1,0] => [7,1,5,2,3,4,6] => [1,7,6,4,2,3,5] => [.,[[[[.,[.,.]],[.,.]],.],.]] => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => [6,1,7,2,3,4,5] => [1,6,4,2,3,7,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 3
[1,0,1,1,0,1,0,1,1,0,0,0] => [6,1,5,2,3,7,4] => [1,6,7,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 3
[1,0,1,1,0,1,1,0,0,0,1,0] => [5,1,4,2,7,3,6] => [1,5,7,6,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 3
[1,0,1,1,0,1,1,0,0,1,0,0] => [7,1,4,2,6,3,5] => [1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [7,1,5,2,6,3,4] => [1,7,4,2,3,5,6] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [5,1,4,2,6,7,3] => [1,5,6,7,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 4
[1,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,7,2,5,6] => [1,3,4,7,6,5,2] => [.,[[.,.],[.,[[[.,.],.],.]]]] => 4
[1,0,1,1,1,0,0,0,1,1,0,0] => [3,1,4,6,2,7,5] => [1,3,4,6,7,5,2] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 5
[1,0,1,1,1,0,0,1,0,0,1,0] => [3,1,7,5,2,4,6] => [1,3,7,6,4,5,2] => [.,[[.,.],[[[.,[.,.]],.],.]]] => 3
[1,0,1,1,1,0,0,1,0,1,0,0] => [3,1,7,6,2,4,5] => [1,3,7,5,2,4,6] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 3
[1,0,1,1,1,0,0,1,1,0,0,0] => [3,1,6,5,2,7,4] => [1,3,6,7,4,5,2] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 4
[1,0,1,1,1,0,1,0,0,0,1,0] => [7,1,4,5,2,3,6] => [1,7,6,3,4,5,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => [7,1,4,6,2,3,5] => [1,7,5,2,3,4,6] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2
[1,0,1,1,1,0,1,0,1,0,0,0] => [7,1,6,5,2,3,4] => [1,7,4,5,2,3,6] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2
[1,0,1,1,1,0,1,1,0,0,0,0] => [6,1,4,5,2,7,3] => [1,6,7,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 3
>>> Load all 238 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,5,7,2,6] => [1,3,4,5,7,6,2] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 5
[1,0,1,1,1,1,0,0,0,1,0,0] => [3,1,4,7,6,2,5] => [1,3,4,7,5,6,2] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => 4
[1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,7,5,6,2,4] => [1,3,7,4,5,6,2] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => 3
[1,0,1,1,1,1,0,1,0,0,0,0] => [7,1,4,5,6,2,3] => [1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2
[1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 6
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,7,1,3,4,5,6] => [1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => 3
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,6,1,3,4,7,5] => [1,2,6,7,5,4,3] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 4
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,5,1,3,7,4,6] => [1,2,5,7,6,4,3] => [.,[.,[[[.,.],.],[[.,.],.]]]] => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,7,1,3,6,4,5] => [1,2,7,5,6,4,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,5,1,3,6,7,4] => [1,2,5,6,7,4,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 5
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,4,1,7,3,5,6] => [1,2,4,7,6,5,3] => [.,[.,[[.,.],[[[.,.],.],.]]]] => 4
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,6,3,7,5] => [1,2,4,6,7,5,3] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 5
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,7,1,5,3,4,6] => [1,2,7,6,4,5,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,7,1,6,3,4,5] => [1,2,7,5,3,4,6] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,6,1,5,3,7,4] => [1,2,6,7,4,5,3] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 4
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,4,1,5,7,3,6] => [1,2,4,5,7,6,3] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 5
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,7,6,3,5] => [1,2,4,7,5,6,3] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => 4
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,7,1,5,6,3,4] => [1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 6
[1,1,0,1,0,0,1,0,1,0,1,0] => [7,3,1,2,4,5,6] => [1,7,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],.]] => 2
[1,1,0,1,0,0,1,0,1,1,0,0] => [6,3,1,2,4,7,5] => [1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 3
[1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,1,2,7,4,6] => [1,5,7,6,4,2,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => [7,3,1,2,6,4,5] => [1,7,5,6,4,2,3] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2
[1,1,0,1,0,0,1,1,1,0,0,0] => [5,3,1,2,6,7,4] => [1,5,6,7,4,2,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 4
[1,1,0,1,0,1,0,0,1,0,1,0] => [7,4,1,2,3,5,6] => [1,7,6,5,3,2,4] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => [6,4,1,2,3,7,5] => [1,6,7,5,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 3
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,7,1,2,3,4,6] => [1,5,3,2,7,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 3
[1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,1,2,3,4,5] => [1,7,5,3,2,6,4] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 2
[1,1,0,1,0,1,0,1,1,0,0,0] => [5,6,1,2,3,7,4] => [1,5,3,2,6,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 4
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,4,1,2,7,3,6] => [1,5,7,6,3,2,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => [7,4,1,2,6,3,5] => [1,7,5,6,3,2,4] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 2
[1,1,0,1,0,1,1,0,1,0,0,0] => [5,7,1,2,6,3,4] => [1,5,6,3,2,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => [5,4,1,2,6,7,3] => [1,5,6,7,3,2,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 4
[1,1,0,1,1,0,0,0,1,0,1,0] => [4,3,1,7,2,5,6] => [1,4,7,6,5,2,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => 3
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,3,1,6,2,7,5] => [1,4,6,7,5,2,3] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 4
[1,1,0,1,1,0,0,1,0,0,1,0] => [7,3,1,5,2,4,6] => [1,7,6,4,5,2,3] => [.,[[[[.,[.,.]],[.,.]],.],.]] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => [7,3,1,6,2,4,5] => [1,7,5,2,3,4,6] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2
[1,1,0,1,1,0,0,1,1,0,0,0] => [6,3,1,5,2,7,4] => [1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 3
[1,1,0,1,1,0,1,0,0,0,1,0] => [7,4,1,5,2,3,6] => [1,7,6,3,2,4,5] => [.,[[[[.,.],[.,[.,.]]],.],.]] => 2
[1,1,0,1,1,0,1,0,0,1,0,0] => [7,4,1,6,2,3,5] => [1,7,5,2,4,6,3] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2
[1,1,0,1,1,0,1,0,1,0,0,0] => [6,7,1,5,2,3,4] => [1,6,3,2,7,4,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => [6,4,1,5,2,7,3] => [1,6,7,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => [4,3,1,5,7,2,6] => [1,4,5,7,6,2,3] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 4
[1,1,0,1,1,1,0,0,0,1,0,0] => [4,3,1,7,6,2,5] => [1,4,7,5,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 3
[1,1,0,1,1,1,0,0,1,0,0,0] => [7,3,1,5,6,2,4] => [1,7,4,5,6,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [7,4,1,5,6,2,3] => [1,7,3,2,4,5,6] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => [4,3,1,5,6,7,2] => [1,4,5,6,7,2,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,7,1,4,5,6] => [1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4
[1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,6,1,4,7,5] => [1,2,3,6,7,5,4] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 5
[1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,5,1,7,4,6] => [1,2,3,5,7,6,4] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 5
[1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,7,1,6,4,5] => [1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4
[1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 6
[1,1,1,0,0,1,0,0,1,0,1,0] => [2,7,4,1,3,5,6] => [1,2,7,6,5,3,4] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3
[1,1,1,0,0,1,0,0,1,1,0,0] => [2,6,4,1,3,7,5] => [1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 4
[1,1,1,0,0,1,0,1,0,0,1,0] => [2,7,5,1,3,4,6] => [1,2,7,6,4,3,5] => [.,[.,[[[[.,.],[.,.]],.],.]]] => 3
[1,1,1,0,0,1,0,1,0,1,0,0] => [2,6,7,1,3,4,5] => [1,2,6,4,3,7,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 4
[1,1,1,0,0,1,0,1,1,0,0,0] => [2,6,5,1,3,7,4] => [1,2,6,7,4,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 4
[1,1,1,0,0,1,1,0,0,0,1,0] => [2,5,4,1,7,3,6] => [1,2,5,7,6,3,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 4
[1,1,1,0,0,1,1,0,0,1,0,0] => [2,7,4,1,6,3,5] => [1,2,7,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3
[1,1,1,0,0,1,1,0,1,0,0,0] => [2,7,5,1,6,3,4] => [1,2,7,4,3,5,6] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3
[1,1,1,0,0,1,1,1,0,0,0,0] => [2,5,4,1,6,7,3] => [1,2,5,6,7,3,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 5
[1,1,1,0,1,0,0,0,1,0,1,0] => [7,3,4,1,2,5,6] => [1,7,6,5,2,3,4] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => [6,3,4,1,2,7,5] => [1,6,7,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => 3
[1,1,1,0,1,0,0,1,0,0,1,0] => [7,3,5,1,2,4,6] => [1,7,6,4,2,3,5] => [.,[[[[.,[.,.]],[.,.]],.],.]] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => [6,3,7,1,2,4,5] => [1,6,4,2,3,7,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 3
[1,1,1,0,1,0,0,1,1,0,0,0] => [6,3,5,1,2,7,4] => [1,6,7,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 3
[1,1,1,0,1,0,1,0,0,0,1,0] => [7,5,4,1,2,3,6] => [1,7,6,3,4,2,5] => [.,[[[[.,.],[.,[.,.]]],.],.]] => 2
[1,1,1,0,1,0,1,0,0,1,0,0] => [6,7,4,1,2,3,5] => [1,6,3,4,2,7,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 3
[1,1,1,0,1,0,1,0,1,0,0,0] => [6,7,5,1,2,3,4] => [1,6,3,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 3
[1,1,1,0,1,0,1,1,0,0,0,0] => [6,5,4,1,2,7,3] => [1,6,7,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 3
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,3,4,1,7,2,6] => [1,5,7,6,2,3,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => 3
[1,1,1,0,1,1,0,0,0,1,0,0] => [7,3,4,1,6,2,5] => [1,7,5,6,2,3,4] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [7,3,5,1,6,2,4] => [1,7,4,2,3,5,6] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [7,5,4,1,6,2,3] => [1,7,3,4,2,5,6] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 4
[1,1,1,1,0,0,0,0,1,0,1,0] => [2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5
[1,1,1,1,0,0,0,0,1,1,0,0] => [2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 6
[1,1,1,1,0,0,0,1,0,0,1,0] => [2,3,7,5,1,4,6] => [1,2,3,7,6,4,5] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4
[1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,7,6,1,4,5] => [1,2,3,7,5,4,6] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4
[1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,6,5,1,7,4] => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 5
[1,1,1,1,0,0,1,0,0,0,1,0] => [2,7,4,5,1,3,6] => [1,2,7,6,3,4,5] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3
[1,1,1,1,0,0,1,0,0,1,0,0] => [2,7,4,6,1,3,5] => [1,2,7,5,3,4,6] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3
[1,1,1,1,0,0,1,0,1,0,0,0] => [2,7,6,5,1,3,4] => [1,2,7,4,5,3,6] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3
[1,1,1,1,0,0,1,1,0,0,0,0] => [2,6,4,5,1,7,3] => [1,2,6,7,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 4
[1,1,1,1,0,1,0,0,0,0,1,0] => [7,3,4,5,1,2,6] => [1,7,6,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => [7,3,4,6,1,2,5] => [1,7,5,2,3,4,6] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => [7,3,6,5,1,2,4] => [1,7,4,5,2,3,6] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => [7,6,4,5,1,2,3] => [1,7,3,4,5,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2
[1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 3
[1,1,1,1,1,0,0,0,0,0,1,0] => [2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6
[1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,4,7,6,1,5] => [1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5
[1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,7,5,6,1,4] => [1,2,3,7,4,5,6] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4
[1,1,1,1,1,0,0,1,0,0,0,0] => [2,7,4,5,6,1,3] => [1,2,7,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3
[1,1,1,1,1,0,1,0,0,0,0,0] => [7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [8,1,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [7,1,2,8,3,4,5,6] => [1,7,5,3,2,4,8,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 3
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [6,1,2,5,3,8,4,7] => [1,6,8,7,4,5,3,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [8,1,4,2,3,5,6,7] => [1,8,7,6,5,3,4,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 2
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [6,1,4,2,3,8,5,7] => [1,6,8,7,5,3,4,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 3
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,1,7,2,3,4,5,6] => [1,8,6,4,2,3,7,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [8,1,5,2,3,7,4,6] => [1,8,6,7,4,2,3,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [5,1,4,2,8,3,6,7] => [1,5,8,7,6,3,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [5,1,4,2,7,3,8,6] => [1,5,7,8,6,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [7,1,4,2,6,3,8,5] => [1,7,8,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [5,1,4,2,8,7,3,6] => [1,5,8,6,7,3,4,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [5,1,4,2,6,7,8,3] => [1,5,6,7,8,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [8,3,1,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [8,3,1,2,7,4,5,6] => [1,8,6,4,2,3,5,7] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [8,4,1,2,3,5,6,7] => [1,8,7,6,5,3,2,4] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [6,4,1,2,3,8,5,7] => [1,6,8,7,5,3,2,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [5,8,1,2,3,4,6,7] => [1,5,3,2,8,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,1,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [5,6,1,2,3,8,4,7] => [1,5,3,2,6,8,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 4
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [5,8,1,2,3,7,4,6] => [1,5,3,2,8,6,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 3
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,1,2,3,7,8,4] => [1,5,3,2,6,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,2,8,3,6,7] => [1,5,8,7,6,3,2,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [5,4,1,2,7,3,8,6] => [1,5,7,8,6,3,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [5,8,1,2,6,3,4,7] => [1,5,6,3,2,8,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [5,7,1,2,6,3,8,4] => [1,5,6,3,2,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [5,4,1,2,6,8,3,7] => [1,5,6,8,7,3,2,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [5,8,1,2,6,7,3,4] => [1,5,6,7,3,2,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [5,4,1,2,6,7,8,3] => [1,5,6,7,8,3,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [8,3,1,5,2,7,4,6] => [1,8,6,7,4,5,2,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [8,3,4,1,2,5,6,7] => [1,8,7,6,5,2,3,4] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8,3,7,1,2,4,5,6] => [1,8,6,4,2,3,7,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [8,3,5,1,2,7,4,6] => [1,8,6,7,4,2,3,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [8,5,4,1,7,2,3,6] => [1,8,6,2,5,7,3,4] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,3,1,2,4,5,6,7,8] => [1,9,8,7,6,5,4,2,3] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,4,1,2,3,5,6,7,8] => [1,9,8,7,6,5,3,2,4] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => 2
[] => [1] => [1] => [.,.] => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,1,2,3,4,5,6,7,8] => [1,10,8,6,4,2,9,7,5,3] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,1,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,3,1,2,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,2,3] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => 2
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Description
The number of external nodes of a binary tree.
That is, the number of nodes that can be reached from the root by only left steps or only right steps, plus $1$ for the root node itself. A counting formula for the number of external node in all binary trees of size $n$ can be found in [1].
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
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.