Identifier
Values
[1,0] => [1] => [1] => [.,.] => 0
[1,0,1,0] => [1,2] => [2,1] => [[.,.],.] => 0
[1,1,0,0] => [2,1] => [1,2] => [.,[.,.]] => 0
[1,0,1,0,1,0] => [1,2,3] => [3,2,1] => [[[.,.],.],.] => 0
[1,0,1,1,0,0] => [1,3,2] => [2,3,1] => [[.,.],[.,.]] => 0
[1,1,0,0,1,0] => [2,1,3] => [3,1,2] => [[.,[.,.]],.] => 1
[1,1,0,1,0,0] => [2,3,1] => [1,3,2] => [.,[[.,.],.]] => 1
[1,1,1,0,0,0] => [3,1,2] => [2,1,3] => [[.,.],[.,.]] => 0
[1,0,1,0,1,0,1,0] => [1,2,3,4] => [4,3,2,1] => [[[[.,.],.],.],.] => 0
[1,0,1,0,1,1,0,0] => [1,2,4,3] => [3,4,2,1] => [[[.,.],.],[.,.]] => 0
[1,0,1,1,0,0,1,0] => [1,3,2,4] => [4,2,3,1] => [[[.,.],[.,.]],.] => 1
[1,0,1,1,0,1,0,0] => [1,3,4,2] => [2,4,3,1] => [[.,.],[[.,.],.]] => 1
[1,0,1,1,1,0,0,0] => [1,4,2,3] => [3,2,4,1] => [[[.,.],.],[.,.]] => 0
[1,1,0,0,1,0,1,0] => [2,1,3,4] => [4,3,1,2] => [[[.,[.,.]],.],.] => 1
[1,1,0,0,1,1,0,0] => [2,1,4,3] => [3,4,1,2] => [[.,[.,.]],[.,.]] => 1
[1,1,0,1,0,0,1,0] => [2,3,1,4] => [4,1,3,2] => [[.,[[.,.],.]],.] => 2
[1,1,0,1,0,1,0,0] => [2,3,4,1] => [1,4,3,2] => [.,[[[.,.],.],.]] => 2
[1,1,0,1,1,0,0,0] => [2,4,1,3] => [3,1,4,2] => [[.,[.,.]],[.,.]] => 1
[1,1,1,0,0,0,1,0] => [3,1,2,4] => [4,2,1,3] => [[[.,.],[.,.]],.] => 1
[1,1,1,0,0,1,0,0] => [3,1,4,2] => [2,4,1,3] => [[.,.],[[.,.],.]] => 1
[1,1,1,0,1,0,0,0] => [3,4,1,2] => [2,1,4,3] => [[.,.],[[.,.],.]] => 1
[1,1,1,1,0,0,0,0] => [4,1,2,3] => [3,2,1,4] => [[[.,.],.],[.,.]] => 0
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => 0
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => 0
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => 1
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => 1
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,3,4] => [4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => 0
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => 1
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => 1
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => 2
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => 2
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4] => [4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => 1
[1,0,1,1,1,0,0,0,1,0] => [1,4,2,3,5] => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => 1
[1,0,1,1,1,0,0,1,0,0] => [1,4,2,5,3] => [3,5,2,4,1] => [[[.,.],.],[[.,.],.]] => 1
[1,0,1,1,1,0,1,0,0,0] => [1,4,5,2,3] => [3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,0,0,0,0] => [1,5,2,3,4] => [4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => 0
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => 1
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => 1
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => 2
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => 2
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,3,4] => [4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => 1
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => 2
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => 2
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => 3
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 3
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4] => [4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => 2
[1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,5] => [5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => 2
[1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,3] => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => 2
[1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,3] => [3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => 2
[1,1,0,1,1,1,0,0,0,0] => [2,5,1,3,4] => [4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => 1
[1,1,1,0,0,0,1,0,1,0] => [3,1,2,4,5] => [5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => 1
[1,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4] => [4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => 1
[1,1,1,0,0,1,0,0,1,0] => [3,1,4,2,5] => [5,2,4,1,3] => [[[.,.],[[.,.],.]],.] => 2
[1,1,1,0,0,1,0,1,0,0] => [3,1,4,5,2] => [2,5,4,1,3] => [[.,.],[[[.,.],.],.]] => 2
[1,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => 1
[1,1,1,0,1,0,0,0,1,0] => [3,4,1,2,5] => [5,2,1,4,3] => [[[.,.],[[.,.],.]],.] => 2
[1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,2] => [2,5,1,4,3] => [[.,.],[[[.,.],.],.]] => 2
[1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,2] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 2
[1,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4] => [4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => 1
[1,1,1,1,0,0,0,0,1,0] => [4,1,2,3,5] => [5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => 1
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,5,3] => [3,5,2,1,4] => [[[.,.],.],[[.,.],.]] => 1
[1,1,1,1,0,0,1,0,0,0] => [4,1,5,2,3] => [3,2,5,1,4] => [[[.,.],.],[[.,.],.]] => 1
[1,1,1,1,0,1,0,0,0,0] => [4,5,1,2,3] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => 1
[1,1,1,1,1,0,0,0,0,0] => [5,1,2,3,4] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => 0
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,4,5] => [5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => 0
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => 1
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => 2
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5] => [5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,3,4,6] => [6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,3,6,4] => [4,6,3,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,3,4] => [4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,3,4,5] => [5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => 0
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => 1
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,4,5] => [5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.] => 2
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => 3
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => 3
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,2,5] => [5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,6] => [6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,6,4] => [4,6,2,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,2,4] => [4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,2,4,5] => [5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,2,3,5,6] => [6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => 1
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5] => [5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3,6] => [6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.] => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,6,3] => [3,6,5,2,4,1] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5] => [5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,2,3,6] => [6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,2,6,3] => [3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,2,3] => [3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5] => [5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => 1
>>> Load all 625 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,2,3,4,6] => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,6,4] => [4,6,3,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,2,6,3,4] => [4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,2,3,4] => [4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,2,3,4,5] => [5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => 0
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => 1
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 1
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [4,6,5,3,1,2] => [[[.,[.,.]],.],[[.,.],.]] => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,4,5] => [5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 1
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => 2
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [6,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],.] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => 3
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5] => [5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,3,4,6] => [6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,3,6,4] => [4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,3,4] => [4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,3,4,5] => [5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 1
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => 2
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,4,5] => [5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => 2
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => 3
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => 3
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => 4
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 4
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,1,5] => [5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => 3
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,6] => [6,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],.] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,1,6,4] => [4,6,1,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,1,4] => [4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,1,4,5] => [5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => 2
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,5,6] => [6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => 2
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5] => [5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,5,3,6] => [6,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],.] => 3
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,6,3] => [3,6,5,1,4,2] => [[.,[.,.]],[[[.,.],.],.]] => 3
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5] => [5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,1,3,6] => [6,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],.] => 3
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,1,6,3] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,1,3] => [3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1,3,4,6] => [6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,1,3,6,4] => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,1,6,3,4] => [4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,1,3,4] => [4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,1,3,4,5] => [5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => 1
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,4,5,6] => [6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,4,6,5] => [5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,6] => [6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,6,4] => [4,6,5,2,1,3] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,6,4,5] => [5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,6] => [6,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],.] => 2
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,4,2,6,5] => [5,6,2,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,6] => [6,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],.] => 3
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,4,5,6,2] => [2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => 3
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,4,6,2,5] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,6] => [6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,6,4] => [4,6,2,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,6,2,4] => [4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,1,6,2,4,5] => [5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],.] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5] => [5,6,2,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,1,5,2,6] => [6,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],.] => 3
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,6,2] => [2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => 3
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5] => [5,2,6,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,1,2,6] => [6,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],.] => 3
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,1,6,2] => [2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 3
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,1,2] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 3
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5] => [5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,6] => [6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,6,4] => [4,6,2,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,6,2,4] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,1,2,4] => [4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,1,2,4,5] => [5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => 1
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,5,6] => [6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5] => [5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,2,5,3,6] => [6,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],.] => 2
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,6,3] => [3,6,5,2,1,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5] => [5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,5,2,3,6] => [6,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],.] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,5,2,6,3] => [3,6,2,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,5,6,2,3] => [3,2,6,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,1,2,3,6] => [6,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],.] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,1,2,6,3] => [3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,1,6,2,3] => [3,2,6,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5] => [5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6] => [6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,6,4] => [4,6,3,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,1,2,6,3,4] => [4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,1,6,2,3,4] => [4,3,2,6,1,5] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,1,2,3,4] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,5,6] => [6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [7,4,6,5,3,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,4,6] => [6,4,7,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,4,5,7] => [7,5,4,6,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,4,7,5] => [5,7,4,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,6,7,4,5] => [5,4,7,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,4,5,6] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,5,6] => [6,5,7,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [6,7,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [7,3,6,5,4,2,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,3,6] => [6,3,7,5,4,2,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,3,5,7] => [7,5,3,6,4,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,3,7,5] => [5,7,3,6,4,2,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,6,7,3,5] => [5,3,7,6,4,2,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,3,5,6] => [6,5,3,7,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,3,4,6,7] => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,3,4,7,6] => [6,7,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,3,6,4,7] => [7,4,6,3,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,3,6,7,4] => [4,7,6,3,5,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,3,7,4,6] => [6,4,7,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,5,6,3,4,7] => [7,4,3,6,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5,6,3,7,4] => [4,7,3,6,5,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5,6,7,3,4] => [4,3,7,6,5,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6] => [6,4,3,7,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,3,4,5,7] => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,3,4,7,5] => [5,7,4,3,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,6,3,7,4,5] => [5,4,7,3,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,3,4,5] => [5,4,3,7,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,3,4,5,6] => [6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],.] => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,5,6] => [6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [6,7,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [7,4,6,5,2,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,4,6] => [6,4,7,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,4,5,7] => [7,5,4,6,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,7,5] => [5,7,4,6,2,3,1] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,6,7,4,5] => [5,4,7,6,2,3,1] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,4,5,6] => [6,5,4,7,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [7,6,5,2,4,3,1] => [[[[[.,.],[[.,.],.]],.],.],.] => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [6,7,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [7,5,6,2,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [5,7,6,2,4,3,1] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,5,6] => [6,5,7,2,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [7,6,2,5,4,3,1] => [[[[.,.],[[[.,.],.],.]],.],.] => 3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [6,7,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => 4
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,2,6] => [6,2,7,5,4,3,1] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,2,5,7] => [7,5,2,6,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,2,7,5] => [5,7,2,6,4,3,1] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,6,7,2,5] => [5,2,7,6,4,3,1] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,2,5,6] => [6,5,2,7,4,3,1] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,2,4,6,7] => [7,6,4,2,5,3,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => 2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,2,4,7,6] => [6,7,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,2,6,4,7] => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,2,6,7,4] => [4,7,6,2,5,3,1] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,7,4,6] => [6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,6,2,4,7] => [7,4,2,6,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,6,2,7,4] => [4,7,2,6,5,3,1] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,6,7,2,4] => [4,2,7,6,5,3,1] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,6] => [6,4,2,7,5,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,2,4,5,7] => [7,5,4,2,6,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,2,4,7,5] => [5,7,4,2,6,3,1] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,2,7,4,5] => [5,4,7,2,6,3,1] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,2,4,5] => [5,4,2,7,6,3,1] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,2,4,5,6] => [6,5,4,2,7,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,2,3,5,6,7] => [7,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,2,3,5,7,6] => [6,7,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,3,6,5,7] => [7,5,6,3,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,2,3,6,7,5] => [5,7,6,3,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,2,3,7,5,6] => [6,5,7,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,3,6,7] => [7,6,3,5,2,4,1] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,7,6] => [6,7,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,2,5,6,3,7] => [7,3,6,5,2,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,6,7,3] => [3,7,6,5,2,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,2,5,7,3,6] => [6,3,7,5,2,4,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,6,3,5,7] => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,7,5] => [5,7,3,6,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,2,6,7,3,5] => [5,3,7,6,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,7,3,5,6] => [6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,5,2,3,6,7] => [7,6,3,2,5,4,1] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,5,2,3,7,6] => [6,7,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,4,5,2,6,3,7] => [7,3,6,2,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,5,2,6,7,3] => [3,7,6,2,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,2,7,3,6] => [6,3,7,2,5,4,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,2,3,7] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,5,6,2,7,3] => [3,7,2,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,2,3] => [3,2,7,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,2,3,6] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,4,6,2,3,5,7] => [7,5,3,2,6,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,6,2,3,7,5] => [5,7,3,2,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,4,6,2,7,3,5] => [5,3,7,2,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,2,3,5] => [5,3,2,7,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,2,3,5,6] => [6,5,3,2,7,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,2,3,4,6,7] => [7,6,4,3,2,5,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2,3,4,7,6] => [6,7,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,2,3,6,4,7] => [7,4,6,3,2,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,2,3,6,7,4] => [4,7,6,3,2,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,2,3,7,4,6] => [6,4,7,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,6,3,4,7] => [7,4,3,6,2,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,7,4] => [4,7,3,6,2,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,2,6,7,3,4] => [4,3,7,6,2,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,7,3,4,6] => [6,4,3,7,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,6,2,3,4,7] => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,6,2,3,7,4] => [4,7,3,2,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,2,7,3,4] => [4,3,7,2,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,2,3,4] => [4,3,2,7,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,2,3,4,6] => [6,4,3,2,7,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,2,3,4,5,7] => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,7,5] => [5,7,4,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,2,3,7,4,5] => [5,4,7,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,7,3,4,5] => [5,4,3,7,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,2,3,4,5] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,2,3,4,5,6] => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => 1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,5,6] => [6,5,7,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [6,7,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [7,4,6,5,3,1,2] => [[[[.,[.,.]],.],[[.,.],.]],.] => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,4,6] => [6,4,7,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,4,5,7] => [7,5,4,6,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,4,7,5] => [5,7,4,6,3,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,6,7,4,5] => [5,4,7,6,3,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,4,5,6] => [6,5,4,7,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => [[[[[.,[.,.]],[.,.]],.],.],.] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [6,7,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [7,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [5,7,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,5,6] => [6,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [7,6,3,5,4,1,2] => [[[[.,[.,.]],[[.,.],.]],.],.] => 3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [7,3,6,5,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],.] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,3,6] => [6,3,7,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,3,5,7] => [7,5,3,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,3,7,5] => [5,7,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,6,7,3,5] => [5,3,7,6,4,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,3,5,6] => [6,5,3,7,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7] => [7,6,4,3,5,1,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,3,4,7,6] => [6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4,7] => [7,4,6,3,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],.] => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,3,6,7,4] => [4,7,6,3,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,7,4,6] => [6,4,7,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,3,4,7] => [7,4,3,6,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],.] => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5,6,3,7,4] => [4,7,3,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5,6,7,3,4] => [4,3,7,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5,7,3,4,6] => [6,4,3,7,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,7] => [7,5,4,3,6,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,3,4,7,5] => [5,7,4,3,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,7,4,5] => [5,4,7,3,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,6,7,3,4,5] => [5,4,3,7,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6] => [6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],.] => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [6,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [7,5,6,4,1,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,5,6] => [6,5,7,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [7,6,4,5,1,3,2] => [[[[.,[[.,.],.]],[.,.]],.],.] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [6,7,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 3
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [7,4,6,5,1,3,2] => [[[.,[[.,.],.]],[[.,.],.]],.] => 4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [4,7,6,5,1,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,4,6] => [6,4,7,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,4,5,7] => [7,5,4,6,1,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,7,5] => [5,7,4,6,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,6,7,4,5] => [5,4,7,6,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,4,5,6] => [6,5,4,7,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],.] => 3
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [6,7,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => 3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [7,5,6,1,4,3,2] => [[[.,[[[.,.],.],.]],[.,.]],.] => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [5,7,6,1,4,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => 4
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,5,6] => [6,5,7,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [[[.,[[[[.,.],.],.],.]],.],.] => 4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [6,7,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],.] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,1,6] => [6,1,7,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,1,5,7] => [7,5,1,6,4,3,2] => [[[.,[[[.,.],.],.]],[.,.]],.] => 4
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,1,7,5] => [5,7,1,6,4,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => 4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,6,7,1,5] => [5,1,7,6,4,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,1,5,6] => [6,5,1,7,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,1,4,6,7] => [7,6,4,1,5,3,2] => [[[[.,[[.,.],.]],[.,.]],.],.] => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,1,4,7,6] => [6,7,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,1,6,4,7] => [7,4,6,1,5,3,2] => [[[.,[[.,.],.]],[[.,.],.]],.] => 4
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,1,6,7,4] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,7,4,6] => [6,4,7,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 3
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,5,6,1,4,7] => [7,4,1,6,5,3,2] => [[[.,[[.,.],.]],[[.,.],.]],.] => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,5,6,1,7,4] => [4,7,1,6,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,6,7,1,4] => [4,1,7,6,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,6] => [6,4,1,7,5,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,1,4,5,7] => [7,5,4,1,6,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,1,4,7,5] => [5,7,4,1,6,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,6,1,7,4,5] => [5,4,7,1,6,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,1,4,5] => [5,4,1,7,6,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,1,4,5,6] => [6,5,4,1,7,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,5,6,7] => [7,6,5,3,1,4,2] => [[[[[.,[.,.]],[.,.]],.],.],.] => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,5,7,6] => [6,7,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,1,3,6,5,7] => [7,5,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,3,6,7,5] => [5,7,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,1,3,7,5,6] => [6,5,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,5,3,6,7] => [7,6,3,5,1,4,2] => [[[[.,[.,.]],[[.,.],.]],.],.] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,5,3,7,6] => [6,7,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,1,5,6,3,7] => [7,3,6,5,1,4,2] => [[[.,[.,.]],[[[.,.],.],.]],.] => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,5,6,7,3] => [3,7,6,5,1,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,1,5,7,3,6] => [6,3,7,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,1,6,3,5,7] => [7,5,3,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,6,3,7,5] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,1,6,7,3,5] => [5,3,7,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,1,7,3,5,6] => [6,5,3,7,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,4,5,1,3,6,7] => [7,6,3,1,5,4,2] => [[[[.,[.,.]],[[.,.],.]],.],.] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,4,5,1,3,7,6] => [6,7,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,4,5,1,6,3,7] => [7,3,6,1,5,4,2] => [[[.,[.,.]],[[[.,.],.],.]],.] => 4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,4,5,1,6,7,3] => [3,7,6,1,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,1,7,3,6] => [6,3,7,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,4,5,6,1,3,7] => [7,3,1,6,5,4,2] => [[[.,[.,.]],[[[.,.],.],.]],.] => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,1,7,3] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,6,7,1,3] => [3,1,7,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,7,1,3,6] => [6,3,1,7,5,4,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,4,6,1,3,5,7] => [7,5,3,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,4,6,1,3,7,5] => [5,7,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,4,6,1,7,3,5] => [5,3,7,1,6,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,4,6,7,1,3,5] => [5,3,1,7,6,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,4,7,1,3,5,6] => [6,5,3,1,7,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,6,7] => [7,6,4,3,1,5,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,7,6] => [6,7,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,1,3,6,4,7] => [7,4,6,3,1,5,2] => [[[[.,[.,.]],.],[[.,.],.]],.] => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,1,3,6,7,4] => [4,7,6,3,1,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,1,3,7,4,6] => [6,4,7,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,5,1,6,3,4,7] => [7,4,3,6,1,5,2] => [[[[.,[.,.]],.],[[.,.],.]],.] => 3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,5,1,6,3,7,4] => [4,7,3,6,1,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,5,1,6,7,3,4] => [4,3,7,6,1,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,5,1,7,3,4,6] => [6,4,3,7,1,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,5,6,1,3,4,7] => [7,4,3,1,6,5,2] => [[[[.,[.,.]],.],[[.,.],.]],.] => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,5,6,1,3,7,4] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,5,6,1,7,3,4] => [4,3,7,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,5,6,7,1,3,4] => [4,3,1,7,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,5,7,1,3,4,6] => [6,4,3,1,7,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,7] => [7,5,4,3,1,6,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,1,3,4,7,5] => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,6,1,3,7,4,5] => [5,4,7,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,6,1,7,3,4,5] => [5,4,3,7,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,6,7,1,3,4,5] => [5,4,3,1,7,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,1,3,4,5,6] => [6,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],.] => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,2,4,5,7,6] => [6,7,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,4,6,5,7] => [7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,4,6,7,5] => [5,7,6,4,2,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,2,4,7,5,6] => [6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,2,5,4,6,7] => [7,6,4,5,2,1,3] => [[[[[.,.],[.,.]],[.,.]],.],.] => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,2,5,4,7,6] => [6,7,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,5,6,4,7] => [7,4,6,5,2,1,3] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,1,2,5,6,7,4] => [4,7,6,5,2,1,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,1,2,5,7,4,6] => [6,4,7,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,2,6,4,5,7] => [7,5,4,6,2,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,1,2,6,4,7,5] => [5,7,4,6,2,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,2,6,7,4,5] => [5,4,7,6,2,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,2,7,4,5,6] => [6,5,4,7,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,4,2,5,6,7] => [7,6,5,2,4,1,3] => [[[[[.,.],[[.,.],.]],.],.],.] => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,4,2,5,7,6] => [6,7,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5,7] => [7,5,6,2,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,4,2,6,7,5] => [5,7,6,2,4,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,7,5,6] => [6,5,7,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2,6,7] => [7,6,2,5,4,1,3] => [[[[.,.],[[[.,.],.],.]],.],.] => 3
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,4,5,2,7,6] => [6,7,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,4,5,6,2,7] => [7,2,6,5,4,1,3] => [[[.,.],[[[[.,.],.],.],.]],.] => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,4,5,6,7,2] => [2,7,6,5,4,1,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 4
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,4,5,7,2,6] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,4,6,2,5,7] => [7,5,2,6,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,4,6,2,7,5] => [5,7,2,6,4,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,4,6,7,2,5] => [5,2,7,6,4,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,4,7,2,5,6] => [6,5,2,7,4,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7] => [7,6,4,2,5,1,3] => [[[[[.,.],[.,.]],[.,.]],.],.] => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,1,5,2,4,7,6] => [6,7,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4,7] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,1,5,2,6,7,4] => [4,7,6,2,5,1,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,7,4,6] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,5,6,2,4,7] => [7,4,2,6,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,1,5,6,2,7,4] => [4,7,2,6,5,1,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,5,6,7,2,4] => [4,2,7,6,5,1,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,1,5,7,2,4,6] => [6,4,2,7,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,6,2,4,5,7] => [7,5,4,2,6,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,6,2,4,7,5] => [5,7,4,2,6,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,7,4,5] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,1,6,7,2,4,5] => [5,4,2,7,6,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,7,2,4,5,6] => [6,5,4,2,7,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => [[[[[.,.],[[.,.],.]],.],.],.] => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,5,7,6] => [6,7,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,4,1,2,6,5,7] => [7,5,6,2,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,4,1,2,6,7,5] => [5,7,6,2,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,4,1,2,7,5,6] => [6,5,7,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,4,1,5,2,6,7] => [7,6,2,5,1,4,3] => [[[[.,.],[[[.,.],.],.]],.],.] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,4,1,5,2,7,6] => [6,7,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,4,1,5,6,2,7] => [7,2,6,5,1,4,3] => [[[.,.],[[[[.,.],.],.],.]],.] => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,1,5,6,7,2] => [2,7,6,5,1,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,4,1,5,7,2,6] => [6,2,7,5,1,4,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,4,1,6,2,5,7] => [7,5,2,6,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,4,1,6,2,7,5] => [5,7,2,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,4,1,6,7,2,5] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,4,1,7,2,5,6] => [6,5,2,7,1,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => [[[[.,.],[[[.,.],.],.]],.],.] => 3
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,4,5,1,2,7,6] => [6,7,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,4,5,1,6,2,7] => [7,2,6,1,5,4,3] => [[[.,.],[[[[.,.],.],.],.]],.] => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,4,5,1,6,7,2] => [2,7,6,1,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 4
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,4,5,1,7,2,6] => [6,2,7,1,5,4,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => [[[.,.],[[[[.,.],.],.],.]],.] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,4,5,6,1,7,2] => [2,7,1,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 4
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,6] => [6,2,1,7,5,4,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,4,6,1,2,5,7] => [7,5,2,1,6,4,3] => [[[[.,.],[[.,.],.]],[.,.]],.] => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,4,6,1,2,7,5] => [5,7,2,1,6,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,4,6,1,7,2,5] => [5,2,7,1,6,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,4,6,7,1,2,5] => [5,2,1,7,6,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,7,1,2,5,6] => [6,5,2,1,7,4,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,5,1,2,4,6,7] => [7,6,4,2,1,5,3] => [[[[[.,.],[.,.]],[.,.]],.],.] => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,5,1,2,4,7,6] => [6,7,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,5,1,2,6,4,7] => [7,4,6,2,1,5,3] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,5,1,2,6,7,4] => [4,7,6,2,1,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,5,1,2,7,4,6] => [6,4,7,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,5,1,6,2,4,7] => [7,4,2,6,1,5,3] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,6,2,7,4] => [4,7,2,6,1,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,5,1,6,7,2,4] => [4,2,7,6,1,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,5,1,7,2,4,6] => [6,4,2,7,1,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,1,2,4,7] => [7,4,2,1,6,5,3] => [[[[.,.],[.,.]],[[.,.],.]],.] => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,5,6,1,2,7,4] => [4,7,2,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,5,6,1,7,2,4] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,5,6,7,1,2,4] => [4,2,1,7,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,5,7,1,2,4,6] => [6,4,2,1,7,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,1,2,4,5,7] => [7,5,4,2,1,6,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,6,1,2,4,7,5] => [5,7,4,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,6,1,2,7,4,5] => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,6,1,7,2,4,5] => [5,4,2,7,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,6,7,1,2,4,5] => [5,4,2,1,7,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,7,1,2,4,5,6] => [6,5,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2,3,5,7,6] => [6,7,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,3,6,5,7] => [7,5,6,3,2,1,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,3,6,7,5] => [5,7,6,3,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,1,2,3,7,5,6] => [6,5,7,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,2,5,3,6,7] => [7,6,3,5,2,1,4] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2,5,3,7,6] => [6,7,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,2,5,6,3,7] => [7,3,6,5,2,1,4] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,1,2,5,6,7,3] => [3,7,6,5,2,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2,5,7,3,6] => [6,3,7,5,2,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,6,3,5,7] => [7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,1,2,6,3,7,5] => [5,7,3,6,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,6,7,3,5] => [5,3,7,6,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,1,2,7,3,5,6] => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7] => [7,6,3,2,5,1,4] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,5,2,3,7,6] => [6,7,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3,7] => [7,3,6,2,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,5,2,6,7,3] => [3,7,6,2,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,5,2,7,3,6] => [6,3,7,2,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,5,6,2,3,7] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,1,5,6,2,7,3] => [3,7,2,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,1,5,6,7,2,3] => [3,2,7,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,5,7,2,3,6] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,1,6,2,3,5,7] => [7,5,3,2,6,1,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,1,6,2,3,7,5] => [5,7,3,2,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,1,6,2,7,3,5] => [5,3,7,2,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,1,6,7,2,3,5] => [5,3,2,7,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,1,7,2,3,5,6] => [6,5,3,2,7,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => [[[[[.,.],.],[[.,.],.]],.],.] => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,5,1,2,3,7,6] => [6,7,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,5,1,2,6,3,7] => [7,3,6,2,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,5,1,2,6,7,3] => [3,7,6,2,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,5,1,2,7,3,6] => [6,3,7,2,1,5,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,1,6,2,3,7] => [7,3,2,6,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,5,1,6,2,7,3] => [3,7,2,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,5,1,6,7,2,3] => [3,2,7,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,5,1,7,2,3,6] => [6,3,2,7,1,5,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => [[[[.,.],.],[[[.,.],.],.]],.] => 3
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,5,6,1,2,7,3] => [3,7,2,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,5,6,1,7,2,3] => [3,2,7,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,7,1,2,3,6] => [6,3,2,1,7,5,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,1,2,3,5,7] => [7,5,3,2,1,6,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,1,2,3,7,5] => [5,7,3,2,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,6,1,2,7,3,5] => [5,3,7,2,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,6,1,7,2,3,5] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,6,7,1,2,3,5] => [5,3,2,1,7,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,7,1,2,3,5,6] => [6,5,3,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,1,2,3,4,7,6] => [6,7,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,2,3,6,4,7] => [7,4,6,3,2,1,5] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,2,3,6,7,4] => [4,7,6,3,2,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,1,2,3,7,4,6] => [6,4,7,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,6,3,4,7] => [7,4,3,6,2,1,5] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,1,2,6,3,7,4] => [4,7,3,6,2,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,1,2,6,7,3,4] => [4,3,7,6,2,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,1,2,7,3,4,6] => [6,4,3,7,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,6,2,3,4,7] => [7,4,3,2,6,1,5] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,6,2,3,7,4] => [4,7,3,2,6,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,1,6,2,7,3,4] => [4,3,7,2,6,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,1,6,7,2,3,4] => [4,3,2,7,6,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,1,7,2,3,4,6] => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => [[[[[.,.],.],.],[[.,.],.]],.] => 2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,1,2,3,7,4] => [4,7,3,2,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,6,1,2,7,3,4] => [4,3,7,2,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,6,1,7,2,3,4] => [4,3,2,7,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,7,1,2,3,4,6] => [6,4,3,2,1,7,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,7,5] => [5,7,4,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1,2,3,7,4,5] => [5,4,7,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1,2,7,3,4,5] => [5,4,3,7,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,1,7,2,3,4,5] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
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Description
The number of internal nodes of a binary tree.
That is, the total number of nodes of the tree minus St000203The number of external nodes of a binary tree.. A counting formula for the total number of internal nodes across all binary trees of size $n$ is given in [1]. This is equivalent to the number of internal triangles in all triangulations of an $(n+1)$-gon.
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
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.