Identifier
Values
[1,0] => [1] => [1] => [.,.] => 0
[1,0,1,0] => [2,1] => [2,1] => [[.,.],.] => 0
[1,1,0,0] => [1,2] => [1,2] => [.,[.,.]] => 0
[1,0,1,0,1,0] => [2,3,1] => [2,3,1] => [[.,.],[.,.]] => 0
[1,0,1,1,0,0] => [2,1,3] => [2,1,3] => [[.,.],[.,.]] => 0
[1,1,0,0,1,0] => [1,3,2] => [3,1,2] => [[.,[.,.]],.] => 0
[1,1,0,1,0,0] => [3,1,2] => [1,3,2] => [.,[[.,.],.]] => 0
[1,1,1,0,0,0] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]] => 0
[1,0,1,0,1,0,1,0] => [2,3,4,1] => [2,3,4,1] => [[.,.],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,0] => [2,3,1,4] => [2,3,1,4] => [[.,.],[.,[.,.]]] => 0
[1,0,1,1,0,0,1,0] => [2,1,4,3] => [4,2,1,3] => [[[.,.],[.,.]],.] => 0
[1,0,1,1,0,1,0,0] => [2,4,1,3] => [2,1,4,3] => [[.,.],[[.,.],.]] => 0
[1,0,1,1,1,0,0,0] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]] => 0
[1,1,0,0,1,0,1,0] => [1,3,4,2] => [3,1,4,2] => [[.,[.,.]],[.,.]] => 0
[1,1,0,0,1,1,0,0] => [1,3,2,4] => [3,1,2,4] => [[.,[.,.]],[.,.]] => 0
[1,1,0,1,0,0,1,0] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]] => 0
[1,1,0,1,0,1,0,0] => [3,4,1,2] => [1,3,4,2] => [.,[[.,.],[.,.]]] => 0
[1,1,0,1,1,0,0,0] => [3,1,2,4] => [1,3,2,4] => [.,[[.,.],[.,.]]] => 0
[1,1,1,0,0,0,1,0] => [1,2,4,3] => [4,1,2,3] => [[.,[.,[.,.]]],.] => 0
[1,1,1,0,0,1,0,0] => [1,4,2,3] => [1,4,2,3] => [.,[[.,[.,.]],.]] => 0
[1,1,1,0,1,0,0,0] => [4,1,2,3] => [1,2,4,3] => [.,[.,[[.,.],.]]] => 1
[1,1,1,1,0,0,0,0] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => 0
[1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => 0
[1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => 0
[1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => [5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => 0
[1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => [2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => 1
[1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => 0
[1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => [4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => 0
[1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => 0
[1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => [2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => 0
[1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => 0
[1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => [5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => 0
[1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => [2,5,1,3,4] => [[.,.],[[.,[.,.]],.]] => 0
[1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => 1
[1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => 0
[1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => [5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => 0
[1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => [3,1,2,5,4] => [[.,[.,.]],[[.,.],.]] => 0
[1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => [3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => 0
[1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => 0
[1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => 0
[1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => 0
[1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => [5,1,3,2,4] => [[.,[[.,.],[.,.]]],.] => 0
[1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => [3,1,5,2,4] => [[.,[.,.]],[[.,.],.]] => 0
[1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => 1
[1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => 0
[1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => [4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => 0
[1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => [4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => 0
[1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => [4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => 0
[1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => 0
[1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => 0
[1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => [4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => 0
[1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => 0
[1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => 1
[1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => 1
[1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => [5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => 0
[1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => 0
[1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => 1
[1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => 1
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => [6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => 0
[1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => [2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => [5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => [5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => [5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => [2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => [2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => [6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => 0
[1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => [2,6,3,1,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => 0
[1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => [2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => [4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => [4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => [6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => 0
[1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => [4,2,1,3,6,5] => [[[.,.],[.,.]],[[.,.],.]] => 0
[1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => [4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => [4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => [2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => [2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => [6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.] => 0
[1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => [4,2,1,6,3,5] => [[[.,.],[.,.]],[[.,.],.]] => 0
[1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => [5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => [5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => [5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => [2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => 0
[1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => [2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => 0
[1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => [5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => 0
[1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => [2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => 0
[1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => [2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => 1
>>> Load all 625 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => [6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => 0
[1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => [2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => 0
[1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => 0
[1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => [6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => 0
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => [3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => [5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => 0
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => [5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => [5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => 0
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => [3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => [6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => 0
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => [3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => 0
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => [6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => 0
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => [3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => [6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.] => 0
[1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => [3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => 1
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => [5,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[.,.]] => 0
[1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => [5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]] => 0
[1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => [5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => 0
[1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => [3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => [3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => [5,1,3,6,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => 0
[1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => [3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => 1
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => 1
[1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => [6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.] => 0
[1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => [1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => 0
[1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => [3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => 0
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => [4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => [6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => 0
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => [4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => [1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => [6,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],.] => 0
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => [4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => 1
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => [4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => [4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => 1
[1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => 1
[1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => [6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.] => 1
[1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => [4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => 1
[1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => 1
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => [5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => [5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => [5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => 0
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => 1
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6] => [7,2,3,4,5,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,7,1,6] => [2,3,4,5,1,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,7,5] => [6,2,3,4,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,7] => [6,2,3,4,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,6,1,7,5] => [6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,6,7,1,5] => [2,3,4,1,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,6,1,5,7] => [2,3,4,1,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,1,5,7,6] => [7,2,3,4,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,5,6] => [2,7,3,4,1,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,7,1,5,6] => [2,3,4,1,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,1,5,6,7,4] => [5,2,3,1,6,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,3,1,5,6,4,7] => [5,2,3,1,6,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6] => [7,5,2,3,1,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,5,7,4,6] => [5,2,3,1,4,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,1,5,4,6,7] => [5,2,3,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,5,1,6,7,4] => [5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,5,1,6,4,7] => [5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,3,5,6,1,7,4] => [5,2,3,6,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,1,4] => [2,3,1,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,6,1,4,7] => [2,3,1,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,7,6] => [7,2,3,1,5,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,5,1,7,4,6] => [5,2,3,1,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,7,1,4,6] => [2,3,1,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => [2,3,1,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,4,6,7,5] => [6,2,3,1,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,1,4,6,5,7] => [6,2,3,1,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,6,4,7,5] => [6,7,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,7,4,5] => [2,6,3,1,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] => [2,6,3,1,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,6,1,4,7,5] => [6,2,3,1,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,6,1,7,4,5] => [2,6,3,1,7,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,6,7,1,4,5] => [2,3,1,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => [2,3,1,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => [7,2,3,1,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => [2,7,3,1,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => [2,3,7,1,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => [2,3,1,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,3] => [4,2,1,5,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,3,7] => [4,2,1,5,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3,7,6] => [7,4,2,1,5,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,4,5,7,3,6] => [4,2,1,5,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,5,3,6,7] => [4,2,1,5,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5] => [6,4,2,1,3,7,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,7] => [6,4,2,1,3,5,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5] => [6,4,2,1,7,3,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,6,7,3,5] => [4,2,1,3,6,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5,7] => [4,2,1,3,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,3,5,7,6] => [7,4,2,1,3,5,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,6] => [4,7,2,1,3,5,6] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,7,3,5,6] => [4,2,1,3,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => [4,2,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,4,1,5,6,7,3] => [4,2,5,1,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,5,6,3,7] => [4,2,5,1,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,4,1,5,3,7,6] => [7,4,2,5,1,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,5,7,3,6] => [4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,1,5,3,6,7] => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,1,6,7,3] => [4,2,5,6,1,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,5,1,6,3,7] => [4,2,5,6,1,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,1,7,3] => [4,2,5,6,7,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,1,3] => [2,1,4,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,1,3,7] => [2,1,4,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,1,3,7,6] => [7,2,1,4,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,1,7,3,6] => [4,2,5,1,7,3,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,7,1,3,6] => [2,1,4,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => [2,1,4,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,6,7,5] => [6,2,1,4,3,7,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5,7] => [6,2,1,4,3,5,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,6,3,7,5] => [6,4,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,6,7,3,5] => [4,2,1,6,3,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] => [4,2,1,6,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,6,1,3,7,5] => [6,2,1,4,7,3,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,6,1,7,3,5] => [4,2,1,6,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,6,7,1,3,5] => [2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => [2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => [7,2,1,4,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => [2,7,1,4,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => [4,2,1,3,7,5,6] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => [2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => [2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,3,5,6,7,4] => [5,2,1,3,6,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,3,5,6,4,7] => [5,2,1,3,6,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,3,5,4,7,6] => [7,5,2,1,3,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,1,3,5,7,4,6] => [5,2,1,3,4,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] => [5,2,1,3,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4] => [5,6,2,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,7] => [5,6,2,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4] => [5,6,2,1,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,6,7,3,4] => [2,5,1,3,6,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] => [2,5,1,3,6,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] => [7,2,5,1,3,4,6] => [[[.,.],[[.,[.,.]],[.,.]]],.] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] => [5,2,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] => [2,5,1,3,4,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => [2,5,1,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,5,1,3,6,7,4] => [5,2,1,6,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,6,4,7] => [5,2,1,6,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1,6,3,7,4] => [5,6,2,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,5,1,6,7,3,4] => [2,5,1,6,3,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] => [2,5,1,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,6,1,3,7,4] => [5,2,1,6,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,5,6,1,7,3,4] => [2,5,1,6,7,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,1,3,4] => [2,1,3,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => [2,1,3,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => [7,2,1,3,5,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => [5,2,1,3,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => [2,5,1,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => [2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => [2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => [6,2,1,3,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => [6,2,1,3,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => [6,7,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => [2,6,1,3,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => [2,6,1,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => [6,2,7,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => [2,6,7,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => [2,1,6,3,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => [6,2,1,3,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => [2,6,1,3,7,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => [2,1,6,3,7,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => [2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => [2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => [7,2,1,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => [2,7,1,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => [2,1,7,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => [2,1,3,7,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => [2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,2,7] => [3,1,4,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6] => [7,3,1,4,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,7,2,6] => [3,1,4,5,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] => [3,1,4,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,2,6,7,5] => [6,3,1,4,2,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,7] => [6,3,1,4,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,6,2,7,5] => [6,3,1,4,7,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,6,7,2,5] => [3,1,4,2,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] => [3,1,4,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] => [3,1,4,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => [3,1,4,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,6,7,4] => [5,3,1,2,6,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,6,4,7] => [5,3,1,2,6,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,7,4,6] => [5,3,1,2,4,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] => [5,3,1,2,4,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,5,2,6,7,4] => [5,3,1,6,2,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,5,2,6,4,7] => [5,3,1,6,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,5,6,2,7,4] => [5,3,1,6,7,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,2,4] => [3,1,2,5,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] => [3,1,2,5,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => [[[.,[.,.]],[[.,.],[.,.]]],.] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] => [3,1,2,5,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => [3,1,2,5,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] => [6,3,1,2,4,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => [3,6,1,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] => [3,1,2,4,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => [3,1,2,4,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => [3,1,2,4,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => [3,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,2] => [3,4,1,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,2,7] => [3,4,1,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,5,2,7,6] => [7,3,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,4,5,7,2,6] => [3,4,1,5,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,4,5,2,6,7] => [3,4,1,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5] => [6,3,4,1,2,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,7] => [6,3,4,1,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5] => [6,3,4,1,7,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,4,6,7,2,5] => [3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,6,2,5,7] => [3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,2,5,7,6] => [7,3,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,6] => [3,7,4,1,2,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,4,7,2,5,6] => [3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,1,5,6,7,2] => [3,4,5,1,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,5,6,2,7] => [3,4,5,1,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,4,1,5,2,7,6] => [7,3,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,5,7,2,6] => [3,4,5,1,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,1,6,7,2] => [3,4,5,6,1,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,1,2] => [1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,1,2,7] => [1,3,4,5,6,2,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,1,2,7,6] => [7,1,3,4,5,2,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,1,7,2,6] => [3,4,5,1,7,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,7,1,2,6] => [1,3,4,5,2,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => [1,3,4,5,2,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,4,1,2,6,7,5] => [6,1,3,4,2,7,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5,7] => [6,1,3,4,2,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,4,1,6,2,7,5] => [6,3,4,7,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,6,7,2,5] => [3,4,1,6,2,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] => [3,4,1,6,2,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,4,6,1,2,7,5] => [6,1,3,4,7,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,6,1,7,2,5] => [3,4,1,6,7,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,6,7,1,2,5] => [1,3,4,2,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => [1,3,4,2,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 1
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => [7,1,3,4,2,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => [1,7,3,4,2,5,6] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => [3,4,1,2,7,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => [1,3,4,2,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => [1,3,4,2,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,5,6,7,4] => [5,1,3,2,6,7,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,5,6,4,7] => [5,1,3,2,6,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,7,6] => [7,5,1,3,2,4,6] => [[[.,[[.,.],[.,.]]],[.,.]],.] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,7,4,6] => [5,1,3,2,4,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] => [5,1,3,2,4,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4] => [5,3,6,1,2,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,7] => [5,3,6,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4] => [5,3,6,1,7,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,5,6,7,2,4] => [3,1,5,2,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] => [3,1,5,2,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] => [7,3,1,5,2,4,6] => [[[.,[.,.]],[[.,.],[.,.]]],.] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] => [5,3,1,7,2,4,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] => [3,1,5,2,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => [3,1,5,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,5,1,2,6,7,4] => [5,1,3,6,2,7,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,6,4,7] => [5,1,3,6,2,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1,6,2,7,4] => [5,3,6,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [3,5,1,6,7,2,4] => [3,1,5,6,2,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] => [3,1,5,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,5,6,1,2,7,4] => [5,1,3,6,7,2,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [3,5,6,1,7,2,4] => [3,1,5,6,7,2,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,1,2,4] => [1,3,2,5,6,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => [1,3,2,5,6,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => [7,1,3,2,5,4,6] => [[.,[[.,.],[[.,.],[.,.]]]],.] => 1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => [5,1,3,2,7,4,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => [3,1,5,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => [1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => [1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => [6,1,3,2,4,7,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => [6,1,3,2,4,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => [6,7,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => [1,6,3,2,4,7,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => [1,6,3,2,4,5,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => [6,3,1,7,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => [3,6,1,7,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => [3,1,2,6,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => [3,1,2,6,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => [6,1,3,2,7,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => [1,6,3,2,7,4,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => [3,1,2,6,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => [1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => [1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => [7,1,3,2,4,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => [1,7,3,2,4,5,6] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => [1,3,7,2,4,5,6] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => [3,1,2,4,7,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => [1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,3] => [4,1,2,5,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] => [4,1,2,5,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] => [7,4,1,2,5,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] => [4,1,2,5,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => [4,1,2,5,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] => [6,4,1,2,3,7,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] => [6,4,1,2,3,5,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] => [6,4,1,2,7,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] => [4,1,2,3,6,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => [4,1,2,3,6,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => [7,4,1,2,3,5,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => [4,7,1,2,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => [4,1,2,3,5,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => [4,1,2,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] => [4,5,1,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] => [4,5,1,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] => [4,5,1,2,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => [4,5,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] => [4,5,1,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] => [4,5,1,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] => [4,5,1,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,2,3] => [1,4,2,5,6,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => [1,4,2,5,6,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => 0
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => [1,4,2,5,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => [1,4,2,5,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => [6,1,4,2,3,5,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => [4,1,6,2,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] => [1,4,2,3,6,7,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => [1,4,2,3,6,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => [1,7,4,2,3,5,6] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => [1,4,2,3,5,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,2,5,6,7,3] => [4,1,5,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2,5,6,3,7] => [4,1,5,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,5,3,7,6] => [7,4,1,5,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,5,7,3,6] => [4,1,5,2,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] => [4,1,5,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3] => [4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3] => [4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,1,5,6,7,2,3] => [1,4,5,2,6,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] => [1,4,5,2,6,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] => [7,1,4,5,2,3,6] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => 0
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] => [4,5,1,7,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] => [1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => [1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,1,2,6,7,3] => [4,1,5,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,6,3,7] => [4,1,5,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [4,5,1,6,7,2,3] => [1,4,5,6,2,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] => [1,4,5,6,2,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,1,2,7,3] => [4,1,5,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,1,7,2,3] => [1,4,5,6,7,2,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,1,2,3] => [1,2,4,5,6,7,3] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => [1,2,4,5,6,3,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => [7,1,2,4,5,3,6] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => [4,1,5,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => [1,4,5,2,7,3,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => [1,2,4,5,3,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 2
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => [1,2,4,5,3,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => [6,1,2,4,3,7,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => 1
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => [6,1,2,4,3,5,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => [6,4,1,7,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => [4,1,2,6,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => [4,1,2,6,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => [6,1,4,7,2,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => [4,1,6,7,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => [1,4,2,6,3,7,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => [1,4,2,6,3,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => [6,1,2,4,7,3,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => [4,1,2,6,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => [1,4,2,6,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => [1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => [1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => [7,1,2,4,3,5,6] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => [1,7,2,4,3,5,6] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => [4,1,2,3,7,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => [1,4,2,3,7,5,6] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => [1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => [1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => [5,1,2,3,6,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => [7,5,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => [5,1,2,3,4,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => [5,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => [5,6,1,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => [5,6,1,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => [5,6,1,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => [1,5,2,3,6,7,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => [1,5,2,3,6,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => [1,5,2,3,4,7,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => [1,5,2,3,4,6,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => [5,1,6,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => [1,5,6,2,3,7,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => [1,5,6,2,3,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => [1,5,6,2,7,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => [1,2,5,3,6,7,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => [1,5,2,7,3,4,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => [1,2,5,3,4,7,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => [1,2,5,3,4,6,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => [5,1,2,6,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => [5,1,2,6,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => [5,6,1,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => [1,5,2,6,3,7,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => [1,5,2,6,3,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => [5,1,6,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => [1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => [1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => [5,1,2,6,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => [1,5,2,6,7,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => [1,2,5,6,7,3,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => [1,2,3,5,6,4,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => [7,1,2,3,5,4,6] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => [5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => [1,5,2,3,7,4,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => [1,2,5,3,7,4,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => [1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => [1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => [6,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => [6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => [1,6,2,3,4,7,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => [1,6,2,3,4,5,7] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => [1,6,7,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => [1,2,6,3,4,7,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => [1,6,2,7,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => [1,2,6,7,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => [1,2,3,6,4,7,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => [1,2,3,6,4,5,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => [6,1,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => [1,6,2,3,7,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => [1,2,6,3,7,4,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => [1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => [1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => [1,2,7,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => [1,2,3,7,4,5,6] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => [1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 0
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Description
The number of occurrences of the contiguous pattern [.,[.,[[.,.],.]]] in a binary tree.
oeis:A086581 counts binary trees avoiding this pattern.
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
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).