Identifier
Values
[1,0,1,0] => [2,1] => [2,1] => [[.,.],.] => 2
[1,1,0,0] => [1,2] => [1,2] => [.,[.,.]] => 1
[1,0,1,0,1,0] => [3,2,1] => [3,2,1] => [[[.,.],.],.] => 3
[1,0,1,1,0,0] => [2,3,1] => [2,3,1] => [[.,.],[.,.]] => 2
[1,1,0,0,1,0] => [3,1,2] => [1,3,2] => [.,[[.,.],.]] => 1
[1,1,0,1,0,0] => [2,1,3] => [2,1,3] => [[.,.],[.,.]] => 2
[1,1,1,0,0,0] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]] => 1
[1,0,1,0,1,0,1,0] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.] => 4
[1,0,1,0,1,1,0,0] => [3,4,2,1] => [3,4,2,1] => [[[.,.],.],[.,.]] => 3
[1,0,1,1,0,0,1,0] => [4,2,3,1] => [2,4,3,1] => [[.,.],[[.,.],.]] => 2
[1,0,1,1,0,1,0,0] => [3,2,4,1] => [3,2,4,1] => [[[.,.],.],[.,.]] => 3
[1,0,1,1,1,0,0,0] => [2,3,4,1] => [2,3,4,1] => [[.,.],[.,[.,.]]] => 2
[1,1,0,0,1,0,1,0] => [4,3,1,2] => [1,4,3,2] => [.,[[[.,.],.],.]] => 1
[1,1,0,0,1,1,0,0] => [3,4,1,2] => [3,1,4,2] => [[.,[.,.]],[.,.]] => 2
[1,1,0,1,0,0,1,0] => [4,2,1,3] => [2,1,4,3] => [[.,.],[[.,.],.]] => 2
[1,1,0,1,0,1,0,0] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]] => 3
[1,1,0,1,1,0,0,0] => [2,3,1,4] => [2,3,1,4] => [[.,.],[.,[.,.]]] => 2
[1,1,1,0,0,0,1,0] => [4,1,2,3] => [1,2,4,3] => [.,[.,[[.,.],.]]] => 1
[1,1,1,0,0,1,0,0] => [3,1,2,4] => [1,3,2,4] => [.,[[.,.],[.,.]]] => 1
[1,1,1,0,1,0,0,0] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]] => 2
[1,1,1,1,0,0,0,0] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => 1
[1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => 5
[1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => 4
[1,0,1,0,1,1,0,0,1,0] => [5,3,4,2,1] => [3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => 3
[1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => 4
[1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => 3
[1,0,1,1,0,0,1,0,1,0] => [5,4,2,3,1] => [2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => 2
[1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => [4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => 3
[1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => [3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => 3
[1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => 4
[1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => 3
[1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => [2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => 2
[1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => [2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => 2
[1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => 3
[1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => 2
[1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => [4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => 2
[1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => [3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => 2
[1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => [4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => 3
[1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => [3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => 2
[1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 2
[1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => [4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => 3
[1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => 3
[1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => 4
[1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => 3
[1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => [2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => 2
[1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => [2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => 2
[1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => 3
[1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => 2
[1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => 1
[1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => 1
[1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => 1
[1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => 1
[1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => [3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => 2
[1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => 2
[1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => 2
[1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => 3
[1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => 2
[1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => 1
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => 1
[1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => 1
[1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => 2
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => 6
[1,0,1,0,1,0,1,0,1,1,0,0] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => 5
[1,0,1,0,1,0,1,1,0,0,1,0] => [6,4,5,3,2,1] => [4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => 4
[1,0,1,0,1,0,1,1,0,1,0,0] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => 5
[1,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,0,1,1,0,0,1,0,1,0] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => 3
[1,0,1,0,1,1,0,0,1,1,0,0] => [5,6,3,4,2,1] => [5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => 4
[1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => [4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => 4
[1,0,1,0,1,1,0,1,0,1,0,0] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => 5
[1,0,1,0,1,1,0,1,1,0,0,0] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,0,1,1,1,0,0,0,1,0] => [6,3,4,5,2,1] => [3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => [5,3,4,6,2,1] => [3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => 3
[1,0,1,0,1,1,1,0,1,0,0,0] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,0,1,1,0,0,1,0,1,0,1,0] => [6,5,4,2,3,1] => [2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => [5,6,4,2,3,1] => [5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => 3
[1,0,1,1,0,0,1,1,0,1,0,0] => [5,4,6,2,3,1] => [5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => 4
[1,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,2,3,1] => [4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[1,0,1,1,0,1,0,0,1,0,1,0] => [6,5,3,2,4,1] => [3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => [5,6,3,2,4,1] => [5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => 4
[1,0,1,1,0,1,0,1,0,0,1,0] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => 5
[1,0,1,1,0,1,0,1,1,0,0,0] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1] => [3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => 3
[1,0,1,1,0,1,1,0,0,1,0,0] => [5,3,4,2,6,1] => [3,5,4,2,6,1] => [[[.,.],.],[[.,.],[.,.]]] => 3
[1,0,1,1,0,1,1,0,1,0,0,0] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,0,1,1,1,0,0,0,1,0,1,0] => [6,5,2,3,4,1] => [2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => 2
[1,0,1,1,1,0,0,0,1,1,0,0] => [5,6,2,3,4,1] => [2,5,3,6,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => [2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => [5,4,2,3,6,1] => [2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => 2
[1,0,1,1,1,0,0,1,1,0,0,0] => [4,5,2,3,6,1] => [4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => 3
[1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => 3
[1,0,1,1,1,0,1,0,1,0,0,0] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => 2
>>> Load all 195 entries. <<<
[1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => [2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => [2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[1,1,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,0,1,1,0,0] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => 2
[1,1,0,0,1,0,1,1,0,0,1,0] => [6,4,5,3,1,2] => [4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => [5,4,6,3,1,2] => [5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => 3
[1,1,0,0,1,0,1,1,1,0,0,0] => [4,5,6,3,1,2] => [4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => 2
[1,1,0,0,1,1,0,0,1,0,1,0] => [6,5,3,4,1,2] => [3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[1,1,0,0,1,1,0,0,1,1,0,0] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => 3
[1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => [4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => [5,4,3,6,1,2] => [5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => 4
[1,1,0,0,1,1,0,1,1,0,0,0] => [4,5,3,6,1,2] => [4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[1,1,0,0,1,1,1,0,0,0,1,0] => [6,3,4,5,1,2] => [3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => [5,3,4,6,1,2] => [3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => [4,3,5,6,1,2] => [4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2] => [3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[1,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 2
[1,1,0,1,0,0,1,0,1,1,0,0] => [5,6,4,2,1,3] => [5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => 3
[1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => [4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => 4
[1,1,0,1,0,0,1,1,1,0,0,0] => [4,5,6,2,1,3] => [4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1,4] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 3
[1,1,0,1,0,1,0,0,1,1,0,0] => [5,6,3,2,1,4] => [5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => 4
[1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => 4
[1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => 5
[1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,1,0,1,0,1,1,0,0,0,1,0] => [6,3,4,2,1,5] => [3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => [3,5,4,2,1,6] => [[[.,.],.],[[.,.],[.,.]]] => 3
[1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,1,0,1,1,0,0,0,1,0,1,0] => [6,5,2,3,1,4] => [2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => 2
[1,1,0,1,1,0,0,0,1,1,0,0] => [5,6,2,3,1,4] => [2,5,3,1,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => [6,4,2,3,1,5] => [2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => [2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => 2
[1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => [4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => [3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => 3
[1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5] => [2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => [2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[1,1,1,0,0,0,1,0,1,0,1,0] => [6,5,4,1,2,3] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => [5,6,4,1,2,3] => [1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => [6,4,5,1,2,3] => [1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => 1
[1,1,1,0,0,0,1,1,0,1,0,0] => [5,4,6,1,2,3] => [1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => 1
[1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 2
[1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => 1
[1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4] => [1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => 1
[1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => 1
[1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => 1
[1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => [3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => [3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => [4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => [2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => [5,6,2,1,3,4] => [2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => [2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => 2
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => [4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => [3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => 3
[1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => [3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => 3
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => 4
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => [2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => [2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => 1
[1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => 1
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => 1
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => 3
[1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => 1
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Description
The number of nodes on the left branch of a binary tree.
Also corresponds to ST000011 after applying the Tamari bijection between binary trees and Dyck path.
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
inverse Foata bijection
Description
The inverse of Foata's bijection.
See Mp00067Foata bijection.
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].