Identifier
Values
[1,0] => [1] => [1] => [.,.] => 0
[1,0,1,0] => [1,2] => [1,2] => [.,[.,.]] => 0
[1,1,0,0] => [2,1] => [2,1] => [[.,.],.] => 0
[1,0,1,0,1,0] => [1,2,3] => [1,3,2] => [.,[[.,.],.]] => 0
[1,0,1,1,0,0] => [1,3,2] => [1,3,2] => [.,[[.,.],.]] => 0
[1,1,0,0,1,0] => [2,1,3] => [2,1,3] => [[.,.],[.,.]] => 1
[1,1,0,1,0,0] => [2,3,1] => [2,3,1] => [[.,[.,.]],.] => 0
[1,1,1,0,0,0] => [3,2,1] => [3,2,1] => [[[.,.],.],.] => 0
[1,0,1,0,1,0,1,0] => [1,2,3,4] => [1,4,3,2] => [.,[[[.,.],.],.]] => 0
[1,0,1,0,1,1,0,0] => [1,2,4,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => 0
[1,0,1,1,0,0,1,0] => [1,3,2,4] => [1,4,3,2] => [.,[[[.,.],.],.]] => 0
[1,0,1,1,0,1,0,0] => [1,3,4,2] => [1,4,3,2] => [.,[[[.,.],.],.]] => 0
[1,0,1,1,1,0,0,0] => [1,4,3,2] => [1,4,3,2] => [.,[[[.,.],.],.]] => 0
[1,1,0,0,1,0,1,0] => [2,1,3,4] => [2,1,4,3] => [[.,.],[[.,.],.]] => 1
[1,1,0,0,1,1,0,0] => [2,1,4,3] => [2,1,4,3] => [[.,.],[[.,.],.]] => 1
[1,1,0,1,0,0,1,0] => [2,3,1,4] => [2,4,1,3] => [[.,[.,.]],[.,.]] => 1
[1,1,0,1,0,1,0,0] => [2,3,4,1] => [2,4,3,1] => [[.,[[.,.],.]],.] => 0
[1,1,0,1,1,0,0,0] => [2,4,3,1] => [2,4,3,1] => [[.,[[.,.],.]],.] => 0
[1,1,1,0,0,0,1,0] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]] => 1
[1,1,1,0,0,1,0,0] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.] => 1
[1,1,1,0,1,0,0,0] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.] => 0
[1,1,1,1,0,0,0,0] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.] => 0
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => 1
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => 1
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => 1
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => 0
[1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => 1
[1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,0,0] => [2,4,5,3,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => 0
[1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => 1
[1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => 1
[1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => 2
[1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => 1
[1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => 1
[1,1,1,0,1,0,0,0,1,0] => [3,4,2,1,5] => [3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => 1
[1,1,1,0,1,0,0,1,0,0] => [3,4,2,5,1] => [3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => 1
[1,1,1,0,1,0,1,0,0,0] => [3,4,5,2,1] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => 0
[1,1,1,0,1,1,0,0,0,0] => [3,5,4,2,1] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => 0
[1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => 1
[1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => 1
[1,1,1,1,0,0,1,0,0,0] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.] => 1
[1,1,1,1,0,1,0,0,0,0] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.] => 0
[1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
>>> Load all 625 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => 1
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => 1
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => 1
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,3,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,5,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => 1
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,4,6,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,4,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 0
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 1
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 1
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => 1
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,6,4,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => 1
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => 1
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => 1
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => 1
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,2,5,6,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => 1
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,2,6,5,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => 1
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,2,6,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => 1
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => 0
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,5,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => 1
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,4,2,6,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => 1
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,4,6,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,4,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => 0
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,5,4,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => 0
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => 2
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,3,5,2,1,6] => [4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,3,5,2,6,1] => [4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,5,6,2,1] => [4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,2,1] => [4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,3,2,1,6] => [4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => 1
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,3,2,6,1] => [4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,3,6,2,1] => [4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,3,2,1] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => 0
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,5,3,2,1] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => 0
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.] => 0
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,6,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,6,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,4,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,4,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,4,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,4,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,5,6,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5,6,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5,6,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5,7,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,5,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,5,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,6,5,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,6,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,6,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,4,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,4,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,4,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,4,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,4,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,6,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,6,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,6,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,5,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,5,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,3,2,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,3,2,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3,2,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,3,5,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,3,5,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,3,5,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,3,6,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,3,6,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,3,7,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,5,3,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,5,3,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,4,5,3,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,5,3,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,3,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,5,6,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,4,6,5,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,6,5,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,4,6,5,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,6,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,4,3,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,4,3,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,4,3,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,4,3,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,4,3,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,4,6,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,4,6,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,4,7,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,6,4,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,6,4,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,4,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,6,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,5,4,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,5,4,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,5,7,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,5,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,5,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,5,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,6,7,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,6,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,5,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,5,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,6,7,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,6,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,4,3,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,4,3,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,4,6,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,4,6,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,4,7,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,4,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5,6,7,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5,7,6,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,5,4,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,5,4,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,5,7,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,6,7,5,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,5,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,5,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,6,7,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,6,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,6,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,4,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,4,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,4,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,4,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,4,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,5,6,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,5,6,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,6,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,5,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,5,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,6,5,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,6,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,3,1,5,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,3,1,6,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3,1,6,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3,1,7,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,3,5,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,3,5,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,3,5,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,3,5,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,3,6,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,3,6,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,3,6,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,3,7,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,4,5,3,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,4,5,3,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,4,5,3,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,4,5,3,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,3,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,4,5,6,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,4,5,6,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,6,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,7,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,4,6,5,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,4,6,5,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,4,6,5,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,4,6,7,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,4,7,6,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,4,3,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,4,3,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,4,3,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,4,3,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,4,3,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,5,4,6,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,5,4,6,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,5,4,6,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,5,4,7,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,5,6,4,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,5,6,4,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,5,6,4,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,5,6,7,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,5,7,6,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,5,4,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,6,5,4,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,6,5,7,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,6,7,5,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,6,5,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,7,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,2,1,4,6,5,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,4,6,7,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,2,1,4,7,6,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,5,4,6,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,1,5,4,7,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,5,6,4,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,5,6,7,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,1,5,7,6,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,2,1,6,5,4,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,2,1,6,5,7,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,2,1,6,7,5,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,2,4,1,5,7,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,4,1,6,5,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,2,4,1,6,7,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,4,1,7,6,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,1,6,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,2,4,5,1,7,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,7,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,4,6,5,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,2,4,6,5,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,2,4,6,7,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,2,4,7,6,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,5,4,1,6,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,5,4,1,7,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,5,4,6,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,5,4,6,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,5,6,4,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,5,6,4,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,5,6,7,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,5,7,6,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,2,6,5,4,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,2,6,5,4,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,2,6,5,7,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,6,7,5,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,2,7,6,5,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,4,2,1,5,6,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => 1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,4,2,1,5,7,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => 1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,4,2,1,6,5,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => 1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,4,2,1,6,7,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,4,2,1,7,6,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,4,2,5,1,6,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,4,2,5,1,7,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,4,2,5,6,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => 1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,4,2,5,7,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,4,2,6,5,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,4,2,6,5,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,4,2,6,7,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,4,2,7,6,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,4,5,2,1,6,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => 1
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,4,5,2,1,7,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,4,5,2,6,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,4,5,2,6,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => 1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,4,5,2,7,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,4,5,6,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,4,5,6,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,4,5,7,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,4,6,5,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,4,6,5,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,4,6,5,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,4,6,7,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,7,6,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,5,4,2,1,6,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => 1
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,5,4,2,1,7,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,5,4,2,6,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,5,4,2,6,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,5,4,2,7,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,5,4,6,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,4,6,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,5,4,6,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,5,4,7,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,4,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,5,6,4,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,5,6,4,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,5,6,7,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,5,7,6,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,5,4,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,6,5,4,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,6,5,4,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,6,5,7,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,6,7,5,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,7,6,5,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 1
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,3,2,1,5,7,6] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,3,2,1,6,5,7] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3,2,1,6,7,5] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,3,2,5,1,6,7] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,3,2,5,1,7,6] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,3,2,5,6,1,7] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,3,2,5,7,6,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,3,2,6,5,1,7] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,3,2,6,5,7,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,2,6,7,5,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,2,7,6,5,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,3,5,2,1,6,7] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,3,5,2,1,7,6] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,3,5,2,6,1,7] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,3,5,2,6,7,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 2
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,3,5,2,7,6,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,3,5,6,2,1,7] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,3,5,6,2,7,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => 2
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,3,5,6,7,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,3,5,7,6,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,3,6,5,2,1,7] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,3,6,5,2,7,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,3,6,5,7,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,6,7,5,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3,7,6,5,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,5,3,2,1,6,7] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => 1
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,5,3,2,1,7,6] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,5,3,2,6,1,7] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,5,3,2,6,7,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,5,3,2,7,6,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,3,6,2,1,7] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,5,3,6,2,7,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 2
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,5,3,6,7,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,5,3,7,6,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,3,2,1,7] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => 1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,5,6,3,2,7,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,5,6,3,7,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,5,6,7,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,7,6,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,5,3,2,1,7] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,6,5,3,2,7,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,6,5,3,7,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,6,5,7,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,6,7,5,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,7,6,5,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4,3,2,6,7,1] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,4,3,2,7,6,1] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,4,3,6,2,1,7] => [5,4,3,7,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,4,3,6,2,7,1] => [5,4,3,7,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,3,6,7,2,1] => [5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,4,3,7,6,2,1] => [5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,4,6,3,2,1,7] => [5,4,7,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,4,6,3,2,7,1] => [5,4,7,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,4,6,3,7,2,1] => [5,4,7,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => 2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,6,7,3,2,1] => [5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,4,7,6,3,2,1] => [5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,4,3,2,1,7] => [5,7,4,3,2,1,6] => [[[[[.,[.,.]],.],.],.],[.,.]] => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,6,4,3,2,7,1] => [5,7,4,3,2,6,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,6,4,3,7,2,1] => [5,7,4,3,6,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,6,4,7,3,2,1] => [5,7,4,6,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,6,7,4,3,2,1] => [5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,7,6,4,3,2,1] => [5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.] => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,5,4,3,2,7,1] => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => [[[[[[.,[.,.]],.],.],.],.],.] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => 0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of occurrences of the contiguous pattern [[.,.],[.,.]] in a binary tree.
Equivalently, this is the number of branches in the tree, i.e. the number of nodes with two children. Binary trees avoiding this pattern are counted by $2^{n-2}$.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Map
to 312-avoiding permutation
Description
Sends a Dyck path to the 312-avoiding permutation according to Bandlow-Killpatrick.
This map is defined in [1] and sends the area (St000012The area of a Dyck path.) to the inversion number (St000018The number of inversions of a permutation.).
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.