Identifier
Values
[[]] => [.,.] => [1] => 1
[[],[]] => [[.,.],.] => [1,2] => 1
[[[]]] => [.,[.,.]] => [2,1] => 2
[[],[],[]] => [[[.,.],.],.] => [1,2,3] => 1
[[],[[]]] => [[.,.],[.,.]] => [3,1,2] => 2
[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => 1
[[[],[]]] => [.,[[.,.],.]] => [2,3,1] => 2
[[[[]]]] => [.,[.,[.,.]]] => [3,2,1] => 3
[[],[],[],[]] => [[[[.,.],.],.],.] => [1,2,3,4] => 1
[[],[],[[]]] => [[[.,.],.],[.,.]] => [4,1,2,3] => 2
[[],[[]],[]] => [[[.,.],[.,.]],.] => [3,1,2,4] => 1
[[],[[],[]]] => [[.,.],[[.,.],.]] => [3,4,1,2] => 2
[[],[[[]]]] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 3
[[[]],[],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => 1
[[[]],[[]]] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 2
[[[],[]],[]] => [[.,[[.,.],.]],.] => [2,3,1,4] => 1
[[[[]]],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 1
[[[],[],[]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => 2
[[[],[[]]]] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 3
[[[[]],[]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 2
[[[[],[]]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 3
[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 4
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 1
[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 2
[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 1
[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 2
[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 3
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 1
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 2
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 2
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 3
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 2
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 3
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 4
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 2
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 2
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 3
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 1
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 2
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 2
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 1
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 1
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 1
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 1
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 2
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 3
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 2
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 3
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 4
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 2
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 3
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 2
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 2
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 3
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 4
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 3
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 4
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 5
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 1
[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 2
[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 1
[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 2
[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 3
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 1
[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 2
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 1
[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => 1
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 2
[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 3
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => 2
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => 3
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 4
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 1
[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 2
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 1
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 2
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 3
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 1
[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 1
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 2
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 2
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 1
[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 1
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 1
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => 1
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => 1
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 2
[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 3
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 2
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 3
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => 4
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => 2
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 3
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => 2
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => 2
>>> Load all 380 entries. <<<
[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => 3
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => 4
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => 3
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => 4
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 5
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 2
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 1
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 2
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 3
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 1
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 2
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 1
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 1
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 2
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 3
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 2
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 3
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 4
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 1
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 1
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 2
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 2
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 1
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 1
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 2
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 3
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 2
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 3
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 1
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 1
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 1
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 1
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 1
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 2
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 2
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 1
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 1
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 1
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 1
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 1
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 1
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 1
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 1
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 1
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 1
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 1
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 1
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 1
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 1
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 2
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 3
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 2
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 3
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 4
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 2
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 3
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 2
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 2
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 3
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 4
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 3
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 4
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 5
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 2
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 3
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 2
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 3
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 4
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 2
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 2
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 3
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 3
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 2
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 2
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 2
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 2
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 2
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 3
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 4
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 3
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 4
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 5
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 3
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 4
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 3
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 3
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 4
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 5
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 4
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 5
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 6
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 1
[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 2
[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => 1
[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => 2
[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 3
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => 1
[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 2
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => 1
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => 2
[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => 3
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 4
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => 1
[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => 2
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => 1
[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => 3
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => 2
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => 3
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => 4
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => 2
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 5
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => 1
[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => 2
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => 1
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => 2
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => 2
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => 1
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => 2
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => 4
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => 3
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => 5
[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 6
[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => 1
[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => 2
[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => 2
[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => 1
[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => 1
[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => 2
[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => 2
[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => 1
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => 1
[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => 2
[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => 2
[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => 1
[[[[[[]]]]],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => 1
[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => 2
[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => 1
[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => 1
[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => 1
[[[[[[]]]],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => 1
[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => 1
[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => 1
[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => 1
[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => 1
[[[[[[]]],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => 1
[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => 1
[[[[[[]],[]]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => 1
[[[[[[],[]]]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => 1
[[[[[[[]]]]]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => 1
[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => 2
[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => 2
[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => 2
[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => 2
[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => 2
[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => 2
[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => 2
[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => 2
[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => 2
[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => 2
[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => 2
[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => 2
[[[[[[[[]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => 7
[[],[],[],[],[],[],[],[]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[],[],[[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 2
[[],[],[],[],[],[[]],[]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => 1
[[],[],[],[],[],[[],[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => 2
[[],[],[],[],[],[[[]]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 3
[[],[],[],[],[[]],[],[]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => 1
[[],[],[],[],[[],[]],[]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => 1
[[],[],[],[],[[],[],[]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => 2
[[],[],[],[],[[],[[]]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => 3
[[],[],[],[],[[[[]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 4
[[],[],[],[[]],[],[],[]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => 1
[[],[],[],[[],[],[]],[]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => 1
[[],[],[],[[],[],[],[]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => 2
[[],[],[],[[],[],[[]]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => 3
[[],[],[],[[],[[],[]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => 3
[[],[],[],[[],[[[]]]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => 4
[[],[],[],[[[[[]]]]]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 5
[[],[],[[]],[],[],[[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => 2
[[],[],[[[]]],[[],[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => 2
[[],[],[[],[],[]],[],[]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => 1
[[],[],[[],[],[[],[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => 3
[[],[],[[],[],[[[]]]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => 4
[[],[],[[],[[],[]],[]]] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => 2
[[],[],[[],[[],[[]]]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => 4
[[],[],[[],[[[[]]]]]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => 5
[[],[],[[[],[],[[]]]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => 4
[[],[],[[[[],[],[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => 4
[[],[],[[[[[[]]]]]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 6
[[],[[]],[],[],[],[[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => 2
[[],[[]],[[[],[]],[]]] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => 2
[[],[[],[]],[],[],[],[]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => 1
[[],[[],[[],[]]],[],[]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => 1
[[],[[],[[],[]]],[[]]] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => 2
[[],[[[[[]]]]],[[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => 2
[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => 2
[[],[[],[],[],[[],[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => 3
[[],[[],[[],[],[],[]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => 3
[[],[[],[[],[[],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => 4
[[],[[],[[],[[[]]]]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => 5
[[],[[],[[[[[]]]]]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => 6
[[],[[[],[[[[]]]]]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => 6
[[],[[[[],[[[]]]]]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => 6
[[],[[[[[],[[]]]]]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => 6
[[],[[[[[[],[]]]]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => 6
[[],[[[[[[[]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 7
[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => 1
[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => 2
[[[]],[],[[[]],[],[]]] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => 2
[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 4
[[[]],[[[]]],[[],[]]] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => 2
[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => 2
[[[]],[[[[[]],[]]]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => 4
[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 6
[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => 1
[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => 2
[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => 2
[[[],[]],[[],[[]],[]]] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => 2
[[[[]]],[[[[]]],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => 2
[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => 1
[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => 2
[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => 2
[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => 1
[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => 1
[[[],[],[],[],[]],[],[]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => 1
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => 1
[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => 2
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => 1
[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => 1
[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => 1
[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => 1
[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => 1
[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => 1
[[[[[]],[[[]]]]],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => 1
[[[[[[]]],[[]]]],[]] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => 1
[[[[[],[[[]]]]]],[]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => 1
[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => 1
[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => 1
[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => 1
[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => 1
[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => 1
[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => 2
[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => 2
[[[],[],[[],[],[[]]]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => 4
[[[],[],[[[],[],[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => 4
[[[],[[]],[],[],[],[]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => 2
[[[],[[],[[[[]]]]]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => 6
[[[],[[[],[[[]]]]]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => 6
[[[],[[[[],[[]]]]]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => 6
[[[],[[[[[],[]]]]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => 6
[[[[]],[],[],[],[],[]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => 2
[[[[]],[],[],[[],[]]]] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => 3
[[[[]],[[[]],[[]]]]] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => 4
[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => 2
[[[[[]]],[],[],[],[]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => 2
[[[[],[],[]],[],[],[]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => 2
[[[[[[]],[]],[]],[]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => 2
[[[[[[[]]]],[]],[]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => 2
[[[[[[[]],[]]]],[]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => 2
[[[[[[[[]]]]]],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => 2
[[[[],[],[[],[],[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => 4
[[[[],[[],[[[]]]]]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => 6
[[[[],[[[],[[]]]]]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => 6
[[[[],[[[[],[]]]]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => 6
[[[[[],[[],[[]]]]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => 6
[[[[[],[[[],[]]]]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => 6
[[[[[[[]],[]],[]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => 4
[[[[[[[[]]]],[]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => 4
[[[[[[],[[],[]]]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => 6
[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => 6
[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => 8
[[],[[],[[],[[],[[],[]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => 5
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of saliances of the permutation.
A saliance is a right-to-left maximum. This can be described as an occurrence of the mesh pattern $([1], {(1,1)})$, i.e., the upper right quadrant is shaded, see [1].
Map
to binary tree: left brother = left child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.