Identifier
Values
[1] => [.,.] => 0
[1,2] => [.,[.,.]] => 0
[2,1] => [[.,.],.] => 1
[1,2,3] => [.,[.,[.,.]]] => 0
[1,3,2] => [.,[[.,.],.]] => 0
[2,1,3] => [[.,.],[.,.]] => 1
[2,3,1] => [[.,[.,.]],.] => 2
[3,1,2] => [[.,.],[.,.]] => 1
[3,2,1] => [[[.,.],.],.] => 2
[1,2,3,4] => [.,[.,[.,[.,.]]]] => 0
[1,2,4,3] => [.,[.,[[.,.],.]]] => 0
[1,3,2,4] => [.,[[.,.],[.,.]]] => 0
[1,3,4,2] => [.,[[.,[.,.]],.]] => 0
[1,4,2,3] => [.,[[.,.],[.,.]]] => 0
[1,4,3,2] => [.,[[[.,.],.],.]] => 0
[2,1,3,4] => [[.,.],[.,[.,.]]] => 1
[2,1,4,3] => [[.,.],[[.,.],.]] => 1
[2,3,1,4] => [[.,[.,.]],[.,.]] => 2
[2,3,4,1] => [[.,[.,[.,.]]],.] => 3
[2,4,1,3] => [[.,[.,.]],[.,.]] => 2
[2,4,3,1] => [[.,[[.,.],.]],.] => 3
[3,1,2,4] => [[.,.],[.,[.,.]]] => 1
[3,1,4,2] => [[.,.],[[.,.],.]] => 1
[3,2,1,4] => [[[.,.],.],[.,.]] => 2
[3,2,4,1] => [[[.,.],[.,.]],.] => 3
[3,4,1,2] => [[.,[.,.]],[.,.]] => 2
[3,4,2,1] => [[[.,[.,.]],.],.] => 3
[4,1,2,3] => [[.,.],[.,[.,.]]] => 1
[4,1,3,2] => [[.,.],[[.,.],.]] => 1
[4,2,1,3] => [[[.,.],.],[.,.]] => 2
[4,2,3,1] => [[[.,.],[.,.]],.] => 3
[4,3,1,2] => [[[.,.],.],[.,.]] => 2
[4,3,2,1] => [[[[.,.],.],.],.] => 3
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => 0
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => 0
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => 0
[1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]] => 0
[1,2,5,3,4] => [.,[.,[[.,.],[.,.]]]] => 0
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => 0
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => 0
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => 0
[1,3,4,2,5] => [.,[[.,[.,.]],[.,.]]] => 0
[1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]] => 0
[1,3,5,2,4] => [.,[[.,[.,.]],[.,.]]] => 0
[1,3,5,4,2] => [.,[[.,[[.,.],.]],.]] => 0
[1,4,2,3,5] => [.,[[.,.],[.,[.,.]]]] => 0
[1,4,2,5,3] => [.,[[.,.],[[.,.],.]]] => 0
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => 0
[1,4,3,5,2] => [.,[[[.,.],[.,.]],.]] => 0
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => 0
[1,4,5,3,2] => [.,[[[.,[.,.]],.],.]] => 0
[1,5,2,3,4] => [.,[[.,.],[.,[.,.]]]] => 0
[1,5,2,4,3] => [.,[[.,.],[[.,.],.]]] => 0
[1,5,3,2,4] => [.,[[[.,.],.],[.,.]]] => 0
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => 0
[1,5,4,2,3] => [.,[[[.,.],.],[.,.]]] => 0
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 0
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => 1
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => 1
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => 1
[2,1,4,5,3] => [[.,.],[[.,[.,.]],.]] => 1
[2,1,5,3,4] => [[.,.],[[.,.],[.,.]]] => 1
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => 1
[2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]] => 2
[2,3,1,5,4] => [[.,[.,.]],[[.,.],.]] => 2
[2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]] => 3
[2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.] => 4
[2,3,5,1,4] => [[.,[.,[.,.]]],[.,.]] => 3
[2,3,5,4,1] => [[.,[.,[[.,.],.]]],.] => 4
[2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => 2
[2,4,1,5,3] => [[.,[.,.]],[[.,.],.]] => 2
[2,4,3,1,5] => [[.,[[.,.],.]],[.,.]] => 3
[2,4,3,5,1] => [[.,[[.,.],[.,.]]],.] => 4
[2,4,5,1,3] => [[.,[.,[.,.]]],[.,.]] => 3
[2,4,5,3,1] => [[.,[[.,[.,.]],.]],.] => 4
[2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => 2
[2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => 2
[2,5,3,1,4] => [[.,[[.,.],.]],[.,.]] => 3
[2,5,3,4,1] => [[.,[[.,.],[.,.]]],.] => 4
[2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => 3
[2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => 4
[3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => 1
[3,1,2,5,4] => [[.,.],[.,[[.,.],.]]] => 1
[3,1,4,2,5] => [[.,.],[[.,.],[.,.]]] => 1
[3,1,4,5,2] => [[.,.],[[.,[.,.]],.]] => 1
[3,1,5,2,4] => [[.,.],[[.,.],[.,.]]] => 1
[3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => 1
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => 2
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => 2
[3,2,4,1,5] => [[[.,.],[.,.]],[.,.]] => 3
[3,2,4,5,1] => [[[.,.],[.,[.,.]]],.] => 4
[3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => 3
[3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => 4
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => 2
[3,4,1,5,2] => [[.,[.,.]],[[.,.],.]] => 2
[3,4,2,1,5] => [[[.,[.,.]],.],[.,.]] => 3
[3,4,2,5,1] => [[[.,[.,.]],[.,.]],.] => 4
[3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]] => 3
[3,4,5,2,1] => [[[.,[.,[.,.]]],.],.] => 4
[3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => 2
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => 2
>>> Load all 873 entries. <<<
[3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => 3
[3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => 4
[3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => 3
[3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => 4
[4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => 1
[4,1,2,5,3] => [[.,.],[.,[[.,.],.]]] => 1
[4,1,3,2,5] => [[.,.],[[.,.],[.,.]]] => 1
[4,1,3,5,2] => [[.,.],[[.,[.,.]],.]] => 1
[4,1,5,2,3] => [[.,.],[[.,.],[.,.]]] => 1
[4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => 1
[4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => 2
[4,2,1,5,3] => [[[.,.],.],[[.,.],.]] => 2
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => 3
[4,2,3,5,1] => [[[.,.],[.,[.,.]]],.] => 4
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => 3
[4,2,5,3,1] => [[[.,.],[[.,.],.]],.] => 4
[4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => 2
[4,3,1,5,2] => [[[.,.],.],[[.,.],.]] => 2
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => 3
[4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => 4
[4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => 3
[4,3,5,2,1] => [[[[.,.],[.,.]],.],.] => 4
[4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => 2
[4,5,1,3,2] => [[.,[.,.]],[[.,.],.]] => 2
[4,5,2,1,3] => [[[.,[.,.]],.],[.,.]] => 3
[4,5,2,3,1] => [[[.,[.,.]],[.,.]],.] => 4
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => 3
[4,5,3,2,1] => [[[[.,[.,.]],.],.],.] => 4
[5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => 1
[5,1,2,4,3] => [[.,.],[.,[[.,.],.]]] => 1
[5,1,3,2,4] => [[.,.],[[.,.],[.,.]]] => 1
[5,1,3,4,2] => [[.,.],[[.,[.,.]],.]] => 1
[5,1,4,2,3] => [[.,.],[[.,.],[.,.]]] => 1
[5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => 1
[5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => 2
[5,2,1,4,3] => [[[.,.],.],[[.,.],.]] => 2
[5,2,3,1,4] => [[[.,.],[.,.]],[.,.]] => 3
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => 4
[5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => 3
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => 4
[5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => 2
[5,3,1,4,2] => [[[.,.],.],[[.,.],.]] => 2
[5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => 3
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => 4
[5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => 3
[5,3,4,2,1] => [[[[.,.],[.,.]],.],.] => 4
[5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => 2
[5,4,1,3,2] => [[[.,.],.],[[.,.],.]] => 2
[5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => 3
[5,4,2,3,1] => [[[[.,.],.],[.,.]],.] => 4
[5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => 3
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => 4
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => 0
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => 0
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => 0
[1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]] => 0
[1,2,3,6,4,5] => [.,[.,[.,[[.,.],[.,.]]]]] => 0
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => 0
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => 0
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => 0
[1,2,4,5,3,6] => [.,[.,[[.,[.,.]],[.,.]]]] => 0
[1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]] => 0
[1,2,4,6,3,5] => [.,[.,[[.,[.,.]],[.,.]]]] => 0
[1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]] => 0
[1,2,5,3,4,6] => [.,[.,[[.,.],[.,[.,.]]]]] => 0
[1,2,5,3,6,4] => [.,[.,[[.,.],[[.,.],.]]]] => 0
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => 0
[1,2,5,4,6,3] => [.,[.,[[[.,.],[.,.]],.]]] => 0
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => 0
[1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]] => 0
[1,2,6,3,4,5] => [.,[.,[[.,.],[.,[.,.]]]]] => 0
[1,2,6,3,5,4] => [.,[.,[[.,.],[[.,.],.]]]] => 0
[1,2,6,4,3,5] => [.,[.,[[[.,.],.],[.,.]]]] => 0
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => 0
[1,2,6,5,3,4] => [.,[.,[[[.,.],.],[.,.]]]] => 0
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => 0
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => 0
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,3,2,5,6,4] => [.,[[.,.],[[.,[.,.]],.]]] => 0
[1,3,2,6,4,5] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => 0
[1,3,4,2,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,3,4,2,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => 0
[1,3,4,5,2,6] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]] => 0
[1,3,4,6,2,5] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]] => 0
[1,3,5,2,4,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,3,5,2,6,4] => [.,[[.,[.,.]],[[.,.],.]]] => 0
[1,3,5,4,2,6] => [.,[[.,[[.,.],.]],[.,.]]] => 0
[1,3,5,4,6,2] => [.,[[.,[[.,.],[.,.]]],.]] => 0
[1,3,5,6,2,4] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]] => 0
[1,3,6,2,4,5] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,3,6,2,5,4] => [.,[[.,[.,.]],[[.,.],.]]] => 0
[1,3,6,4,2,5] => [.,[[.,[[.,.],.]],[.,.]]] => 0
[1,3,6,4,5,2] => [.,[[.,[[.,.],[.,.]]],.]] => 0
[1,3,6,5,2,4] => [.,[[.,[[.,.],.]],[.,.]]] => 0
[1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]] => 0
[1,4,2,3,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,4,2,3,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => 0
[1,4,2,5,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,4,2,5,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => 0
[1,4,2,6,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,4,2,6,5,3] => [.,[[.,.],[[[.,.],.],.]]] => 0
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => 0
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => 0
[1,4,3,5,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,4,3,5,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => 0
[1,4,3,6,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,4,3,6,5,2] => [.,[[[.,.],[[.,.],.]],.]] => 0
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,4,5,2,6,3] => [.,[[.,[.,.]],[[.,.],.]]] => 0
[1,4,5,3,2,6] => [.,[[[.,[.,.]],.],[.,.]]] => 0
[1,4,5,3,6,2] => [.,[[[.,[.,.]],[.,.]],.]] => 0
[1,4,5,6,2,3] => [.,[[.,[.,[.,.]]],[.,.]]] => 0
[1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]] => 0
[1,4,6,2,3,5] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => 0
[1,4,6,3,2,5] => [.,[[[.,[.,.]],.],[.,.]]] => 0
[1,4,6,3,5,2] => [.,[[[.,[.,.]],[.,.]],.]] => 0
[1,4,6,5,2,3] => [.,[[.,[[.,.],.]],[.,.]]] => 0
[1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]] => 0
[1,5,2,3,4,6] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,5,2,3,6,4] => [.,[[.,.],[.,[[.,.],.]]]] => 0
[1,5,2,4,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,5,2,4,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => 0
[1,5,2,6,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,5,2,6,4,3] => [.,[[.,.],[[[.,.],.],.]]] => 0
[1,5,3,2,4,6] => [.,[[[.,.],.],[.,[.,.]]]] => 0
[1,5,3,2,6,4] => [.,[[[.,.],.],[[.,.],.]]] => 0
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,5,3,4,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => 0
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,5,3,6,4,2] => [.,[[[.,.],[[.,.],.]],.]] => 0
[1,5,4,2,3,6] => [.,[[[.,.],.],[.,[.,.]]]] => 0
[1,5,4,2,6,3] => [.,[[[.,.],.],[[.,.],.]]] => 0
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => 0
[1,5,4,3,6,2] => [.,[[[[.,.],.],[.,.]],.]] => 0
[1,5,4,6,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,5,4,6,3,2] => [.,[[[[.,.],[.,.]],.],.]] => 0
[1,5,6,2,3,4] => [.,[[.,[.,.]],[.,[.,.]]]] => 0
[1,5,6,2,4,3] => [.,[[.,[.,.]],[[.,.],.]]] => 0
[1,5,6,3,2,4] => [.,[[[.,[.,.]],.],[.,.]]] => 0
[1,5,6,3,4,2] => [.,[[[.,[.,.]],[.,.]],.]] => 0
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => 0
[1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]] => 0
[1,6,2,3,4,5] => [.,[[.,.],[.,[.,[.,.]]]]] => 0
[1,6,2,3,5,4] => [.,[[.,.],[.,[[.,.],.]]]] => 0
[1,6,2,4,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,6,2,4,5,3] => [.,[[.,.],[[.,[.,.]],.]]] => 0
[1,6,2,5,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => 0
[1,6,2,5,4,3] => [.,[[.,.],[[[.,.],.],.]]] => 0
[1,6,3,2,4,5] => [.,[[[.,.],.],[.,[.,.]]]] => 0
[1,6,3,2,5,4] => [.,[[[.,.],.],[[.,.],.]]] => 0
[1,6,3,4,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => 0
[1,6,3,5,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => 0
[1,6,4,2,3,5] => [.,[[[.,.],.],[.,[.,.]]]] => 0
[1,6,4,2,5,3] => [.,[[[.,.],.],[[.,.],.]]] => 0
[1,6,4,3,2,5] => [.,[[[[.,.],.],.],[.,.]]] => 0
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => 0
[1,6,4,5,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => 0
[1,6,4,5,3,2] => [.,[[[[.,.],[.,.]],.],.]] => 0
[1,6,5,2,3,4] => [.,[[[.,.],.],[.,[.,.]]]] => 0
[1,6,5,2,4,3] => [.,[[[.,.],.],[[.,.],.]]] => 0
[1,6,5,3,2,4] => [.,[[[[.,.],.],.],[.,.]]] => 0
[1,6,5,3,4,2] => [.,[[[[.,.],.],[.,.]],.]] => 0
[1,6,5,4,2,3] => [.,[[[[.,.],.],.],[.,.]]] => 0
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 0
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 1
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => 1
[2,1,3,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => 1
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => 1
[2,1,4,5,3,6] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]] => 1
[2,1,4,6,3,5] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]] => 1
[2,1,5,3,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[2,1,5,3,6,4] => [[.,.],[[.,.],[[.,.],.]]] => 1
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => 1
[2,1,5,4,6,3] => [[.,.],[[[.,.],[.,.]],.]] => 1
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[2,1,5,6,4,3] => [[.,.],[[[.,[.,.]],.],.]] => 1
[2,1,6,3,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[2,1,6,3,5,4] => [[.,.],[[.,.],[[.,.],.]]] => 1
[2,1,6,4,3,5] => [[.,.],[[[.,.],.],[.,.]]] => 1
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => 1
[2,1,6,5,3,4] => [[.,.],[[[.,.],.],[.,.]]] => 1
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => 1
[2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[2,3,1,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[2,3,1,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,3,1,5,6,4] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[2,3,1,6,4,5] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,3,1,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => 2
[2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[2,3,4,1,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]] => 4
[2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.] => 5
[2,3,4,6,1,5] => [[.,[.,[.,[.,.]]]],[.,.]] => 4
[2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.] => 5
[2,3,5,1,4,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[2,3,5,1,6,4] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]] => 4
[2,3,5,4,6,1] => [[.,[.,[[.,.],[.,.]]]],.] => 5
[2,3,5,6,1,4] => [[.,[.,[.,[.,.]]]],[.,.]] => 4
[2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.] => 5
[2,3,6,1,4,5] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[2,3,6,1,5,4] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[2,3,6,4,1,5] => [[.,[.,[[.,.],.]]],[.,.]] => 4
[2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.] => 5
[2,3,6,5,1,4] => [[.,[.,[[.,.],.]]],[.,.]] => 4
[2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.] => 5
[2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[2,4,1,3,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[2,4,1,5,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,4,1,5,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[2,4,1,6,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,4,1,6,5,3] => [[.,[.,.]],[[[.,.],.],.]] => 2
[2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[2,4,3,1,6,5] => [[.,[[.,.],.]],[[.,.],.]] => 3
[2,4,3,5,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,4,3,5,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => 5
[2,4,3,6,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,4,3,6,5,1] => [[.,[[.,.],[[.,.],.]]],.] => 5
[2,4,5,1,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[2,4,5,1,6,3] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[2,4,5,3,1,6] => [[.,[[.,[.,.]],.]],[.,.]] => 4
[2,4,5,3,6,1] => [[.,[[.,[.,.]],[.,.]]],.] => 5
[2,4,5,6,1,3] => [[.,[.,[.,[.,.]]]],[.,.]] => 4
[2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.] => 5
[2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[2,4,6,1,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[2,4,6,3,1,5] => [[.,[[.,[.,.]],.]],[.,.]] => 4
[2,4,6,3,5,1] => [[.,[[.,[.,.]],[.,.]]],.] => 5
[2,4,6,5,1,3] => [[.,[.,[[.,.],.]]],[.,.]] => 4
[2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.] => 5
[2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[2,5,1,3,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[2,5,1,4,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,5,1,4,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[2,5,1,6,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,5,1,6,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 2
[2,5,3,1,4,6] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[2,5,3,1,6,4] => [[.,[[.,.],.]],[[.,.],.]] => 3
[2,5,3,4,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,5,3,4,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => 5
[2,5,3,6,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,5,3,6,4,1] => [[.,[[.,.],[[.,.],.]]],.] => 5
[2,5,4,1,3,6] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[2,5,4,1,6,3] => [[.,[[.,.],.]],[[.,.],.]] => 3
[2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]] => 4
[2,5,4,3,6,1] => [[.,[[[.,.],.],[.,.]]],.] => 5
[2,5,4,6,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,5,4,6,3,1] => [[.,[[[.,.],[.,.]],.]],.] => 5
[2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[2,5,6,1,4,3] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[2,5,6,3,1,4] => [[.,[[.,[.,.]],.]],[.,.]] => 4
[2,5,6,3,4,1] => [[.,[[.,[.,.]],[.,.]]],.] => 5
[2,5,6,4,1,3] => [[.,[[.,[.,.]],.]],[.,.]] => 4
[2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.] => 5
[2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[2,6,1,3,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[2,6,1,4,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,6,1,4,5,3] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[2,6,1,5,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => 2
[2,6,3,1,4,5] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[2,6,3,1,5,4] => [[.,[[.,.],.]],[[.,.],.]] => 3
[2,6,3,4,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.] => 5
[2,6,3,5,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,6,3,5,4,1] => [[.,[[.,.],[[.,.],.]]],.] => 5
[2,6,4,1,3,5] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[2,6,4,1,5,3] => [[.,[[.,.],.]],[[.,.],.]] => 3
[2,6,4,3,1,5] => [[.,[[[.,.],.],.]],[.,.]] => 4
[2,6,4,3,5,1] => [[.,[[[.,.],.],[.,.]]],.] => 5
[2,6,4,5,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.] => 5
[2,6,5,1,3,4] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => 3
[2,6,5,3,1,4] => [[.,[[[.,.],.],.]],[.,.]] => 4
[2,6,5,3,4,1] => [[.,[[[.,.],.],[.,.]]],.] => 5
[2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => 4
[2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => 5
[3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 1
[3,1,2,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[3,1,2,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[3,1,2,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => 1
[3,1,2,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[3,1,2,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => 1
[3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[3,1,4,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => 1
[3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => 1
[3,1,4,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[3,1,4,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => 1
[3,1,5,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[3,1,5,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => 1
[3,1,5,4,2,6] => [[.,.],[[[.,.],.],[.,.]]] => 1
[3,1,5,4,6,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[3,1,5,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[3,1,5,6,4,2] => [[.,.],[[[.,[.,.]],.],.]] => 1
[3,1,6,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[3,1,6,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => 1
[3,1,6,4,2,5] => [[.,.],[[[.,.],.],[.,.]]] => 1
[3,1,6,4,5,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[3,1,6,5,2,4] => [[.,.],[[[.,.],.],[.,.]]] => 1
[3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => 1
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => 2
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => 2
[3,2,1,5,6,4] => [[[.,.],.],[[.,[.,.]],.]] => 2
[3,2,1,6,4,5] => [[[.,.],.],[[.,.],[.,.]]] => 2
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => 2
[3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[3,2,4,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => 3
[3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => 5
[3,2,4,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[3,2,4,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => 5
[3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[3,2,5,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => 3
[3,2,5,4,1,6] => [[[.,.],[[.,.],.]],[.,.]] => 4
[3,2,5,4,6,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[3,2,5,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[3,2,5,6,4,1] => [[[.,.],[[.,[.,.]],.]],.] => 5
[3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => 3
[3,2,6,4,1,5] => [[[.,.],[[.,.],.]],[.,.]] => 4
[3,2,6,4,5,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => 4
[3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => 5
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[3,4,1,6,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[3,4,1,6,5,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[3,4,2,1,6,5] => [[[.,[.,.]],.],[[.,.],.]] => 3
[3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => 5
[3,4,2,6,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[3,4,2,6,5,1] => [[[.,[.,.]],[[.,.],.]],.] => 5
[3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]] => 4
[3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.] => 5
[3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]] => 4
[3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.] => 5
[3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[3,4,6,1,5,2] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[3,4,6,2,1,5] => [[[.,[.,[.,.]]],.],[.,.]] => 4
[3,4,6,2,5,1] => [[[.,[.,[.,.]]],[.,.]],.] => 5
[3,4,6,5,1,2] => [[.,[.,[[.,.],.]]],[.,.]] => 4
[3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.] => 5
[3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[3,5,1,2,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[3,5,1,4,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[3,5,1,6,4,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[3,5,2,1,4,6] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[3,5,2,1,6,4] => [[[.,[.,.]],.],[[.,.],.]] => 3
[3,5,2,4,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[3,5,2,4,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => 5
[3,5,2,6,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[3,5,2,6,4,1] => [[[.,[.,.]],[[.,.],.]],.] => 5
[3,5,4,1,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[3,5,4,1,6,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[3,5,4,2,1,6] => [[[.,[[.,.],.]],.],[.,.]] => 4
[3,5,4,2,6,1] => [[[.,[[.,.],.]],[.,.]],.] => 5
[3,5,4,6,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[3,5,4,6,2,1] => [[[.,[[.,.],[.,.]]],.],.] => 5
[3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[3,5,6,1,4,2] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[3,5,6,2,1,4] => [[[.,[.,[.,.]]],.],[.,.]] => 4
[3,5,6,2,4,1] => [[[.,[.,[.,.]]],[.,.]],.] => 5
[3,5,6,4,1,2] => [[.,[[.,[.,.]],.]],[.,.]] => 4
[3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.] => 5
[3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[3,6,1,2,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[3,6,1,4,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[3,6,1,5,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[3,6,2,1,4,5] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => 3
[3,6,2,4,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[3,6,2,4,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => 5
[3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => 5
[3,6,4,1,2,5] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[3,6,4,1,5,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[3,6,4,2,1,5] => [[[.,[[.,.],.]],.],[.,.]] => 4
[3,6,4,2,5,1] => [[[.,[[.,.],.]],[.,.]],.] => 5
[3,6,4,5,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => 4
[3,6,4,5,2,1] => [[[.,[[.,.],[.,.]]],.],.] => 5
[3,6,5,1,2,4] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => 4
[3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => 5
[3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => 4
[3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => 5
[4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 1
[4,1,2,3,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[4,1,2,5,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[4,1,2,5,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => 1
[4,1,2,6,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[4,1,2,6,5,3] => [[.,.],[.,[[[.,.],.],.]]] => 1
[4,1,3,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[4,1,3,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => 1
[4,1,3,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[4,1,3,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => 1
[4,1,3,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[4,1,3,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => 1
[4,1,5,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => 1
[4,1,5,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => 1
[4,1,5,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[4,1,5,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => 1
[4,1,6,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[4,1,6,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => 1
[4,1,6,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => 1
[4,1,6,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[4,1,6,5,2,3] => [[.,.],[[[.,.],.],[.,.]]] => 1
[4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => 1
[4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[4,2,1,3,6,5] => [[[.,.],.],[.,[[.,.],.]]] => 2
[4,2,1,5,3,6] => [[[.,.],.],[[.,.],[.,.]]] => 2
[4,2,1,5,6,3] => [[[.,.],.],[[.,[.,.]],.]] => 2
[4,2,1,6,3,5] => [[[.,.],.],[[.,.],[.,.]]] => 2
[4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => 2
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => 3
[4,2,3,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[4,2,3,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => 5
[4,2,3,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[4,2,3,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => 5
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[4,2,5,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => 4
[4,2,5,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => 5
[4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[4,2,6,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => 4
[4,2,6,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => 4
[4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => 5
[4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[4,3,1,2,6,5] => [[[.,.],.],[.,[[.,.],.]]] => 2
[4,3,1,5,2,6] => [[[.,.],.],[[.,.],[.,.]]] => 2
[4,3,1,5,6,2] => [[[.,.],.],[[.,[.,.]],.]] => 2
[4,3,1,6,2,5] => [[[.,.],.],[[.,.],[.,.]]] => 2
[4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => 2
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => 3
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => 3
[4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]] => 4
[4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.] => 5
[4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => 4
[4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => 5
[4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[4,3,5,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => 4
[4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[4,3,5,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => 5
[4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => 4
[4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => 4
[4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => 5
[4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[4,5,1,3,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[4,5,1,3,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[4,5,1,6,3,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[4,5,2,1,6,3] => [[[.,[.,.]],.],[[.,.],.]] => 3
[4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => 5
[4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[4,5,2,6,3,1] => [[[.,[.,.]],[[.,.],.]],.] => 5
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[4,5,3,1,6,2] => [[[.,[.,.]],.],[[.,.],.]] => 3
[4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]] => 4
[4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.] => 5
[4,5,3,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.] => 5
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 3
[4,5,6,1,3,2] => [[.,[.,[.,.]]],[[.,.],.]] => 3
[4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]] => 4
[4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.] => 5
[4,5,6,3,1,2] => [[[.,[.,[.,.]]],.],[.,.]] => 4
[4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.] => 5
[4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[4,6,1,2,5,3] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[4,6,1,3,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[4,6,1,3,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[4,6,1,5,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[4,6,2,1,3,5] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => 3
[4,6,2,3,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[4,6,2,3,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => 5
[4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => 5
[4,6,3,1,2,5] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => 3
[4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => 4
[4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => 5
[4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => 5
[4,6,5,1,2,3] => [[.,[[.,.],.]],[.,[.,.]]] => 3
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => 3
[4,6,5,2,1,3] => [[[.,[[.,.],.]],.],[.,.]] => 4
[4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.] => 5
[4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]] => 4
[4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => 5
[5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => 1
[5,1,2,3,6,4] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[5,1,2,4,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[5,1,2,4,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => 1
[5,1,2,6,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[5,1,2,6,4,3] => [[.,.],[.,[[[.,.],.],.]]] => 1
[5,1,3,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[5,1,3,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => 1
[5,1,3,4,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[5,1,3,4,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => 1
[5,1,3,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[5,1,3,6,4,2] => [[.,.],[[.,[[.,.],.]],.]] => 1
[5,1,4,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[5,1,4,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => 1
[5,1,4,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => 1
[5,1,4,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[5,1,4,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[5,1,4,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => 1
[5,1,6,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[5,1,6,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => 1
[5,1,6,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => 1
[5,1,6,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[5,1,6,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => 1
[5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => 1
[5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[5,2,1,3,6,4] => [[[.,.],.],[.,[[.,.],.]]] => 2
[5,2,1,4,3,6] => [[[.,.],.],[[.,.],[.,.]]] => 2
[5,2,1,4,6,3] => [[[.,.],.],[[.,[.,.]],.]] => 2
[5,2,1,6,3,4] => [[[.,.],.],[[.,.],[.,.]]] => 2
[5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => 2
[5,2,3,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[5,2,3,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => 3
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[5,2,3,4,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => 5
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[5,2,3,6,4,1] => [[[.,.],[.,[[.,.],.]]],.] => 5
[5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[5,2,4,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => 4
[5,2,4,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[5,2,4,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[5,2,4,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => 5
[5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[5,2,6,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => 4
[5,2,6,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => 4
[5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => 5
[5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[5,3,1,2,6,4] => [[[.,.],.],[.,[[.,.],.]]] => 2
[5,3,1,4,2,6] => [[[.,.],.],[[.,.],[.,.]]] => 2
[5,3,1,4,6,2] => [[[.,.],.],[[.,[.,.]],.]] => 2
[5,3,1,6,2,4] => [[[.,.],.],[[.,.],[.,.]]] => 2
[5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => 2
[5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => 3
[5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]] => 3
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => 4
[5,3,2,4,6,1] => [[[[.,.],.],[.,[.,.]]],.] => 5
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => 4
[5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.] => 5
[5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[5,3,4,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[5,3,4,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => 4
[5,3,4,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[5,3,4,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[5,3,4,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => 5
[5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => 4
[5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => 4
[5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => 5
[5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[5,4,1,2,6,3] => [[[.,.],.],[.,[[.,.],.]]] => 2
[5,4,1,3,2,6] => [[[.,.],.],[[.,.],[.,.]]] => 2
[5,4,1,3,6,2] => [[[.,.],.],[[.,[.,.]],.]] => 2
[5,4,1,6,2,3] => [[[.,.],.],[[.,.],[.,.]]] => 2
[5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => 2
[5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => 3
[5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]] => 3
[5,4,2,3,1,6] => [[[[.,.],.],[.,.]],[.,.]] => 4
[5,4,2,3,6,1] => [[[[.,.],.],[.,[.,.]]],.] => 5
[5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => 4
[5,4,2,6,3,1] => [[[[.,.],.],[[.,.],.]],.] => 5
[5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => 3
[5,4,3,1,6,2] => [[[[.,.],.],.],[[.,.],.]] => 3
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => 4
[5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => 5
[5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => 4
[5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.] => 5
[5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[5,4,6,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => 4
[5,4,6,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[5,4,6,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => 4
[5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => 5
[5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[5,6,1,2,4,3] => [[.,[.,.]],[.,[[.,.],.]]] => 2
[5,6,1,3,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[5,6,1,3,4,2] => [[.,[.,.]],[[.,[.,.]],.]] => 2
[5,6,1,4,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => 2
[5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => 2
[5,6,2,1,3,4] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[5,6,2,1,4,3] => [[[.,[.,.]],.],[[.,.],.]] => 3
[5,6,2,3,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[5,6,2,3,4,1] => [[[.,[.,.]],[.,[.,.]]],.] => 5
[5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.] => 5
[5,6,3,1,2,4] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]] => 3
[5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]] => 4
[5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.] => 5
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 4
[5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.] => 5
[5,6,4,1,2,3] => [[[.,[.,.]],.],[.,[.,.]]] => 3
[5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]] => 3
[5,6,4,2,1,3] => [[[[.,[.,.]],.],.],[.,.]] => 4
[5,6,4,2,3,1] => [[[[.,[.,.]],.],[.,.]],.] => 5
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 4
[5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.] => 5
[6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => 1
[6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[6,1,2,4,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]] => 1
[6,1,2,5,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]] => 1
[6,1,3,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[6,1,3,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => 1
[6,1,3,4,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]] => 1
[6,1,3,5,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[6,1,3,5,4,2] => [[.,.],[[.,[[.,.],.]],.]] => 1
[6,1,4,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[6,1,4,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => 1
[6,1,4,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => 1
[6,1,4,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[6,1,4,5,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => 1
[6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]] => 1
[6,1,5,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => 1
[6,1,5,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => 1
[6,1,5,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => 1
[6,1,5,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => 1
[6,1,5,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => 1
[6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => 1
[6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[6,2,1,3,5,4] => [[[.,.],.],[.,[[.,.],.]]] => 2
[6,2,1,4,3,5] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,2,1,4,5,3] => [[[.,.],.],[[.,[.,.]],.]] => 2
[6,2,1,5,3,4] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => 2
[6,2,3,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[6,2,3,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => 3
[6,2,3,4,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => 5
[6,2,3,5,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => 5
[6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[6,2,4,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[6,2,4,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => 4
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[6,2,4,5,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[6,2,4,5,3,1] => [[[.,.],[[.,[.,.]],.]],.] => 5
[6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => 3
[6,2,5,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => 4
[6,2,5,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => 5
[6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => 4
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => 5
[6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[6,3,1,2,5,4] => [[[.,.],.],[.,[[.,.],.]]] => 2
[6,3,1,4,2,5] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,3,1,4,5,2] => [[[.,.],.],[[.,[.,.]],.]] => 2
[6,3,1,5,2,4] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => 2
[6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => 3
[6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => 3
[6,3,2,4,1,5] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => 5
[6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => 5
[6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[6,3,4,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[6,3,4,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => 4
[6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => 4
[6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.] => 5
[6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => 4
[6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => 4
[6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => 5
[6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[6,4,1,2,5,3] => [[[.,.],.],[.,[[.,.],.]]] => 2
[6,4,1,3,2,5] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,4,1,3,5,2] => [[[.,.],.],[[.,[.,.]],.]] => 2
[6,4,1,5,2,3] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => 2
[6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => 3
[6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => 3
[6,4,2,3,1,5] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,4,2,3,5,1] => [[[[.,.],.],[.,[.,.]]],.] => 5
[6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => 5
[6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => 3
[6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => 3
[6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => 4
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => 5
[6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => 5
[6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => 3
[6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => 3
[6,4,5,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => 4
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => 5
[6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => 4
[6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => 5
[6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[6,5,1,2,4,3] => [[[.,.],.],[.,[[.,.],.]]] => 2
[6,5,1,3,2,4] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,5,1,3,4,2] => [[[.,.],.],[[.,[.,.]],.]] => 2
[6,5,1,4,2,3] => [[[.,.],.],[[.,.],[.,.]]] => 2
[6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => 2
[6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => 3
[6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => 3
[6,5,2,3,1,4] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.] => 5
[6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => 5
[6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => 3
[6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => 3
[6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => 4
[6,5,3,2,4,1] => [[[[[.,.],.],.],[.,.]],.] => 5
[6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => 4
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => 5
[6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => 3
[6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => 3
[6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => 4
[6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.] => 5
[6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => 4
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => 5
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Description
The size of the left subtree of a binary tree.
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.