Identifier
Values
[[1]] => [1] => [.,.] => [1] => 1
[[1,2]] => [1,2] => [.,[.,.]] => [2,1] => 2
[[1],[2]] => [2,1] => [[.,.],.] => [1,2] => 1
[[1,2,3]] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1] => 3
[[1,3],[2]] => [2,1,3] => [[.,.],[.,.]] => [3,1,2] => 1
[[1,2],[3]] => [3,1,2] => [[.,.],[.,.]] => [3,1,2] => 1
[[1],[2],[3]] => [3,2,1] => [[[.,.],.],.] => [1,2,3] => 1
[[1,2,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 4
[[1,3,4],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[[1,2,4],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[[1,2,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[[1,3],[2,4]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 2
[[1,2],[3,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 2
[[1,4],[2],[3]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [4,1,2,3] => 1
[[1,3],[2],[4]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [4,1,2,3] => 1
[[1,2],[3],[4]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [4,1,2,3] => 1
[[1],[2],[3],[4]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,2,3,4] => 1
[[1,2,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 5
[[1,3,4,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[[1,2,4,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[[1,2,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[[1,2,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[[1,3,5],[2,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 2
[[1,2,5],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 2
[[1,3,4],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 2
[[1,2,4],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 2
[[1,2,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 2
[[1,4,5],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[[1,3,5],[2],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[[1,2,5],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[[1,3,4],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[[1,2,4],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[[1,2,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 1
[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 1
[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 1
[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 1
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 1
[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 6
[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 1
[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 1
[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 1
[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 1
[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 1
[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 3
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 3
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 3
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 3
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 3
[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 2
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 2
>>> Load all 462 entries. <<<
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 2
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 2
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 2
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 1
[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 1
[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 1
[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 1
[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 1
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 1
[[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => 7
[[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 1
[[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 1
[[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 1
[[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => 1
[[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => 1
[[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => 1
[[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => [[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => 1
[[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => 1
[[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 1
[[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 1
[[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 1
[[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 1
[[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 1
[[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => 1
[[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 1
[[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => 8
[[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => 1
[[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => 2
[[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,7,8],[5],[6]] => [6,5,1,2,3,4,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => 1
[[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => 1
[[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => 4
[[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,7,8],[2,4],[5,6]] => [5,6,2,4,1,3,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => 2
[[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,4,5,7],[2],[3],[6],[8]] => [8,6,3,2,1,4,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => 1
[[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => 1
[[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => 2
[[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => 1
[[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => 1
[[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => 9
[[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => 1
[[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => 1
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => 1
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => 1
[[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => 10
[[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => 1
[[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => 1
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => 1
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => 1
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => 1
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => 1
[[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => 1
[[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => 1
[[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => 1
[[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => 1
[[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => 1
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => 1
[[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => 1
[[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => 1
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => 1
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => 1
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => 1
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => 1
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => 1
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,10],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => 1
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => 1
[[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => 1
[[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => 1
[[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => 1
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => 1
[[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => 1
[[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => 1
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => 1
[[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => 1
[[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => 1
[[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => 1
[[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => 1
[[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => 1
[[1,2,5,6,7,8,9,10],[3],[4]] => [4,3,1,2,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => 1
[[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => 1
[[1,2,8,9,10],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => 1
[[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => 1
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => 1
[[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => 1
[[1,2,3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,1,2,3,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => 1
[[1,2,3,4,6],[5],[7],[8],[9]] => [9,8,7,5,1,2,3,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => 1
[[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => 1
[[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => 1
[[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => 1
[[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => 1
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Description
The number of longest increasing subsequences of a permutation.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
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.
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.