Identifier
Mp00283: Perfect matchings —non-nesting-exceedence permutation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
[(1,2)] => [2,1] => [[.,.],.]
[(1,2),(3,4)] => [2,1,4,3] => [[.,.],[[.,.],.]]
[(1,3),(2,4)] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[(1,4),(2,3)] => [3,4,2,1] => [[[.,.],.],[.,.]]
[(1,2),(3,4),(5,6)] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[(1,3),(2,4),(5,6)] => [3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]]
[(1,4),(2,3),(5,6)] => [3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]]
[(1,5),(2,3),(4,6)] => [3,5,2,6,1,4] => [[[.,.],.],[[.,.],[.,.]]]
[(1,6),(2,3),(4,5)] => [3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]]
[(1,6),(2,4),(3,5)] => [4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]]
[(1,5),(2,4),(3,6)] => [4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]]
[(1,4),(2,5),(3,6)] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[(1,3),(2,5),(4,6)] => [3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]]
[(1,2),(3,5),(4,6)] => [2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]]
[(1,2),(3,6),(4,5)] => [2,1,5,6,4,3] => [[.,.],[[[.,.],.],[.,.]]]
[(1,3),(2,6),(4,5)] => [3,5,1,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]]
[(1,4),(2,6),(3,5)] => [4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]]
[(1,5),(2,6),(3,4)] => [4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]]
[(1,6),(2,5),(3,4)] => [4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]]
[(1,2),(3,4),(5,6),(7,8)] => [2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,4),(5,6),(7,8)] => [3,4,1,2,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[(1,4),(2,3),(5,6),(7,8)] => [3,4,2,1,6,5,8,7] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[(1,5),(2,3),(4,6),(7,8)] => [3,5,2,6,1,4,8,7] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[(1,6),(2,3),(4,5),(7,8)] => [3,5,2,6,4,1,8,7] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[(1,7),(2,3),(4,5),(6,8)] => [3,5,2,7,4,8,1,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[(1,8),(2,3),(4,5),(6,7)] => [3,5,2,7,4,8,6,1] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[(1,8),(2,4),(3,5),(6,7)] => [4,5,7,2,3,8,6,1] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[(1,7),(2,4),(3,5),(6,8)] => [4,5,7,2,3,8,1,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[(1,6),(2,4),(3,5),(7,8)] => [4,5,6,2,3,1,8,7] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[(1,5),(2,4),(3,6),(7,8)] => [4,5,6,2,1,3,8,7] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[(1,4),(2,5),(3,6),(7,8)] => [4,5,6,1,2,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[(1,3),(2,5),(4,6),(7,8)] => [3,5,1,6,2,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[(1,2),(3,5),(4,6),(7,8)] => [2,1,5,6,3,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[(1,2),(3,6),(4,5),(7,8)] => [2,1,5,6,4,3,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[(1,3),(2,6),(4,5),(7,8)] => [3,5,1,6,4,2,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[(1,4),(2,6),(3,5),(7,8)] => [4,5,6,1,3,2,8,7] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[(1,5),(2,6),(3,4),(7,8)] => [4,5,6,3,1,2,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[(1,6),(2,5),(3,4),(7,8)] => [4,5,6,3,2,1,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[(1,7),(2,5),(3,4),(6,8)] => [4,5,7,3,2,8,1,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[(1,8),(2,5),(3,4),(6,7)] => [4,5,7,3,2,8,6,1] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[(1,8),(2,6),(3,4),(5,7)] => [4,6,7,3,8,2,5,1] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[(1,7),(2,6),(3,4),(5,8)] => [4,6,7,3,8,2,1,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[(1,6),(2,7),(3,4),(5,8)] => [4,6,7,3,8,1,2,5] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[(1,5),(2,7),(3,4),(6,8)] => [4,5,7,3,1,8,2,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[(1,4),(2,7),(3,5),(6,8)] => [4,5,7,1,3,8,2,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[(1,3),(2,7),(4,5),(6,8)] => [3,5,1,7,4,8,2,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[(1,2),(3,7),(4,5),(6,8)] => [2,1,5,7,4,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[(1,2),(3,8),(4,5),(6,7)] => [2,1,5,7,4,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[(1,3),(2,8),(4,5),(6,7)] => [3,5,1,7,4,8,6,2] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[(1,4),(2,8),(3,5),(6,7)] => [4,5,7,1,3,8,6,2] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[(1,5),(2,8),(3,4),(6,7)] => [4,5,7,3,1,8,6,2] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[(1,6),(2,8),(3,4),(5,7)] => [4,6,7,3,8,1,5,2] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[(1,7),(2,8),(3,4),(5,6)] => [4,6,7,3,8,5,1,2] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[(1,8),(2,7),(3,4),(5,6)] => [4,6,7,3,8,5,2,1] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[(1,8),(2,7),(3,5),(4,6)] => [5,6,7,8,3,4,2,1] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[(1,7),(2,8),(3,5),(4,6)] => [5,6,7,8,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[(1,6),(2,8),(3,5),(4,7)] => [5,6,7,8,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[(1,5),(2,8),(3,6),(4,7)] => [5,6,7,8,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[(1,4),(2,8),(3,6),(5,7)] => [4,6,7,1,8,3,5,2] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[(1,3),(2,8),(4,6),(5,7)] => [3,6,1,7,8,4,5,2] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[(1,2),(3,8),(4,6),(5,7)] => [2,1,6,7,8,4,5,3] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[(1,2),(3,7),(4,6),(5,8)] => [2,1,6,7,8,4,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[(1,3),(2,7),(4,6),(5,8)] => [3,6,1,7,8,4,2,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[(1,4),(2,7),(3,6),(5,8)] => [4,6,7,1,8,3,2,5] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[(1,5),(2,7),(3,6),(4,8)] => [5,6,7,8,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[(1,6),(2,7),(3,5),(4,8)] => [5,6,7,8,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[(1,7),(2,6),(3,5),(4,8)] => [5,6,7,8,3,2,1,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[(1,8),(2,6),(3,5),(4,7)] => [5,6,7,8,3,2,4,1] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[(1,8),(2,5),(3,6),(4,7)] => [5,6,7,8,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[(1,7),(2,5),(3,6),(4,8)] => [5,6,7,8,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[(1,6),(2,5),(3,7),(4,8)] => [5,6,7,8,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[(1,5),(2,6),(3,7),(4,8)] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[(1,4),(2,6),(3,7),(5,8)] => [4,6,7,1,8,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[(1,3),(2,6),(4,7),(5,8)] => [3,6,1,7,8,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[(1,2),(3,6),(4,7),(5,8)] => [2,1,6,7,8,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[(1,2),(3,5),(4,7),(6,8)] => [2,1,5,7,3,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[(1,3),(2,5),(4,7),(6,8)] => [3,5,1,7,2,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[(1,4),(2,5),(3,7),(6,8)] => [4,5,7,1,2,8,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[(1,5),(2,4),(3,7),(6,8)] => [4,5,7,2,1,8,3,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[(1,6),(2,4),(3,7),(5,8)] => [4,6,7,2,8,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[(1,7),(2,4),(3,6),(5,8)] => [4,6,7,2,8,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[(1,8),(2,4),(3,6),(5,7)] => [4,6,7,2,8,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[(1,8),(2,3),(4,6),(5,7)] => [3,6,2,7,8,4,5,1] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[(1,7),(2,3),(4,6),(5,8)] => [3,6,2,7,8,4,1,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[(1,6),(2,3),(4,7),(5,8)] => [3,6,2,7,8,1,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[(1,5),(2,3),(4,7),(6,8)] => [3,5,2,7,1,8,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[(1,4),(2,3),(5,7),(6,8)] => [3,4,2,1,7,8,5,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[(1,3),(2,4),(5,7),(6,8)] => [3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[(1,2),(3,4),(5,7),(6,8)] => [2,1,4,3,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[(1,2),(3,4),(5,8),(6,7)] => [2,1,4,3,7,8,6,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[(1,3),(2,4),(5,8),(6,7)] => [3,4,1,2,7,8,6,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[(1,4),(2,3),(5,8),(6,7)] => [3,4,2,1,7,8,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[(1,5),(2,3),(4,8),(6,7)] => [3,5,2,7,1,8,6,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[(1,6),(2,3),(4,8),(5,7)] => [3,6,2,7,8,1,5,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[(1,7),(2,3),(4,8),(5,6)] => [3,6,2,7,8,5,1,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[(1,8),(2,3),(4,7),(5,6)] => [3,6,2,7,8,5,4,1] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[(1,8),(2,4),(3,7),(5,6)] => [4,6,7,2,8,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[(1,7),(2,4),(3,8),(5,6)] => [4,6,7,2,8,5,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[(1,6),(2,4),(3,8),(5,7)] => [4,6,7,2,8,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[(1,5),(2,4),(3,8),(6,7)] => [4,5,7,2,1,8,6,3] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[(1,4),(2,5),(3,8),(6,7)] => [4,5,7,1,2,8,6,3] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
>>> Load all 309 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [3,5,1,7,2,8,6,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[(1,2),(3,5),(4,8),(6,7)] => [2,1,5,7,3,8,6,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[(1,2),(3,6),(4,8),(5,7)] => [2,1,6,7,8,3,5,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[(1,3),(2,6),(4,8),(5,7)] => [3,6,1,7,8,2,5,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[(1,4),(2,6),(3,8),(5,7)] => [4,6,7,1,8,2,5,3] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[(1,5),(2,6),(3,8),(4,7)] => [5,6,7,8,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[(1,6),(2,5),(3,8),(4,7)] => [5,6,7,8,2,1,4,3] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[(1,7),(2,5),(3,8),(4,6)] => [5,6,7,8,2,4,1,3] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[(1,8),(2,5),(3,7),(4,6)] => [5,6,7,8,2,4,3,1] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[(1,8),(2,6),(3,7),(4,5)] => [5,6,7,8,4,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[(1,7),(2,6),(3,8),(4,5)] => [5,6,7,8,4,2,1,3] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[(1,6),(2,7),(3,8),(4,5)] => [5,6,7,8,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[(1,5),(2,7),(3,8),(4,6)] => [5,6,7,8,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[(1,4),(2,7),(3,8),(5,6)] => [4,6,7,1,8,5,2,3] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[(1,3),(2,7),(4,8),(5,6)] => [3,6,1,7,8,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[(1,2),(3,7),(4,8),(5,6)] => [2,1,6,7,8,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[(1,2),(3,8),(4,7),(5,6)] => [2,1,6,7,8,5,4,3] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[(1,3),(2,8),(4,7),(5,6)] => [3,6,1,7,8,5,4,2] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[(1,4),(2,8),(3,7),(5,6)] => [4,6,7,1,8,5,3,2] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[(1,5),(2,8),(3,7),(4,6)] => [5,6,7,8,1,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[(1,6),(2,8),(3,7),(4,5)] => [5,6,7,8,4,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[(1,7),(2,8),(3,6),(4,5)] => [5,6,7,8,4,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[(1,8),(2,7),(3,6),(4,5)] => [5,6,7,8,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [2,1,4,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [3,4,1,2,6,5,8,7,10,9] => [[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [3,4,2,1,6,5,8,7,10,9] => [[[.,.],.],[.,[[.,.],[[.,.],[[.,.],.]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [3,5,2,6,4,1,8,7,10,9] => [[[.,.],.],[[.,.],[.,[[.,.],[[.,.],.]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [3,5,2,7,4,8,6,1,10,9] => [[[.,.],.],[[.,.],[[.,.],[.,[[.,.],.]]]]]
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [3,5,2,7,4,9,6,10,8,1] => [[[.,.],.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,5,6,4,3,8,7,10,9] => [[.,.],[[[.,.],.],[.,[[.,.],[[.,.],.]]]]]
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [4,5,6,3,2,1,8,7,10,9] => [[[[.,.],.],.],[.,[.,[[.,.],[[.,.],.]]]]]
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [4,5,7,3,2,8,6,1,10,9] => [[[[.,.],.],.],[.,[[.,.],[.,[[.,.],.]]]]]
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [4,5,7,3,2,9,6,10,8,1] => [[[[.,.],.],.],[.,[[.,.],[[.,.],[.,.]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,5,7,4,8,6,3,10,9] => [[.,.],[[[.,.],.],[[.,.],[.,[[.,.],.]]]]]
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [4,6,7,3,8,5,2,1,10,9] => [[[[.,.],.],.],[[.,.],[.,[.,[[.,.],.]]]]]
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [4,6,7,3,9,5,2,10,8,1] => [[[[.,.],.],.],[[.,.],[.,[[.,.],[.,.]]]]]
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,5,7,4,9,6,10,8,3] => [[.,.],[[[.,.],.],[[.,.],[[.,.],[.,.]]]]]
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [4,6,8,3,9,5,10,7,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],[.,[.,.]]]]]
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,7,8,6,5,10,9] => [[.,.],[[.,.],[[[.,.],.],[.,[[.,.],.]]]]]
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [3,4,2,1,7,8,6,5,10,9] => [[[.,.],.],[.,[[[.,.],.],[.,[[.,.],.]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [3,6,2,7,8,5,4,1,10,9] => [[[.,.],.],[[[.,.],.],[.,[.,[[.,.],.]]]]]
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [3,6,2,7,9,5,4,10,8,1] => [[[.,.],.],[[[.,.],.],[.,[[.,.],[.,.]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,6,7,8,5,4,3,10,9] => [[.,.],[[[[.,.],.],.],[.,[.,[[.,.],.]]]]]
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [5,6,7,8,4,3,2,1,10,9] => [[[[[.,.],.],.],.],[.,[.,[.,[[.,.],.]]]]]
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [5,6,7,9,4,3,2,10,8,1] => [[[[[.,.],.],.],.],[.,[.,[[.,.],[.,.]]]]]
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,6,7,9,5,4,10,8,3] => [[.,.],[[[[.,.],.],.],[.,[[.,.],[.,.]]]]]
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [5,6,8,9,4,3,10,7,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],[.,[.,.]]]]]
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,7,9,6,10,8,5] => [[.,.],[[.,.],[[[.,.],.],[[.,.],[.,.]]]]]
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [3,4,2,1,7,9,6,10,8,5] => [[[.,.],.],[.,[[[.,.],.],[[.,.],[.,.]]]]]
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [3,6,2,8,9,5,10,7,4,1] => [[[.,.],.],[[[.,.],.],[[.,.],[.,[.,.]]]]]
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,6,8,9,5,10,7,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],[.,[.,.]]]]]
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [5,7,8,9,4,10,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],[.,[.,[.,.]]]]]
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [6,7,8,9,10,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],[.,[.,[.,[.,.]]]]]
[(1,6),(2,9),(3,10),(4,7),(5,8)] => [6,7,8,9,10,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],[.,[.,[.,[.,.]]]]]
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [6,7,8,9,10,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,[.,.]]]]]
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [6,7,8,9,10,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[(1,8),(2,9),(3,6),(4,7),(5,10)] => [6,7,8,9,10,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [6,7,8,9,10,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [6,7,8,9,10,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [6,7,8,9,10,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [2,1,4,3,6,5,9,10,8,7] => [[.,.],[[.,.],[[.,.],[[[.,.],.],[.,.]]]]]
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [3,4,2,1,6,5,9,10,8,7] => [[[.,.],.],[.,[[.,.],[[[.,.],.],[.,.]]]]]
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [3,5,2,6,4,1,9,10,8,7] => [[[.,.],.],[[.,.],[.,[[[.,.],.],[.,.]]]]]
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [3,5,2,8,4,9,10,7,6,1] => [[[.,.],.],[[.,.],[[[.,.],.],[.,[.,.]]]]]
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,5,6,4,3,9,10,8,7] => [[.,.],[[[.,.],.],[.,[[[.,.],.],[.,.]]]]]
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [4,5,6,3,2,1,9,10,8,7] => [[[[.,.],.],.],[.,[.,[[[.,.],.],[.,.]]]]]
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [4,5,8,3,2,9,10,7,6,1] => [[[[.,.],.],.],[.,[[[.,.],.],[.,[.,.]]]]]
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,5,8,4,9,10,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],[.,[.,.]]]]]
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [4,7,8,3,9,10,6,5,2,1] => [[[[.,.],.],.],[[[.,.],.],[.,[.,[.,.]]]]]
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,8,9,10,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],[.,[.,.]]]]]
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [3,4,2,1,8,9,10,7,6,5] => [[[.,.],.],[.,[[[[.,.],.],.],[.,[.,.]]]]]
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [3,7,2,8,9,10,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],[.,[.,[.,.]]]]]
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,7,8,9,10,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],[.,[.,[.,.]]]]]
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [6,7,8,9,10,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,[.,[.,[.,.]]]]]
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [6,7,8,9,10,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [7,8,9,10,11,12,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [2,1,7,8,9,10,6,5,4,3,12,11] => [[.,.],[[[[[.,.],.],.],.],[.,[.,[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [3,7,2,8,9,11,6,5,4,12,10,1] => [[[.,.],.],[[[[.,.],.],.],[.,[.,[[.,.],[.,.]]]]]]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,7,8,9,11,6,5,4,12,10,3] => [[.,.],[[[[[.,.],.],.],.],[.,[.,[[.,.],[.,.]]]]]]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [3,7,2,8,9,10,6,5,4,1,12,11] => [[[.,.],.],[[[[.,.],.],.],[.,[.,[.,[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [4,7,8,3,10,11,6,5,12,9,2,1] => [[[[.,.],.],.],[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,7,8,6,5,10,9,12,11] => [[.,.],[[.,.],[[[.,.],.],[.,[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [3,7,2,8,10,11,6,5,12,9,4,1] => [[[.,.],.],[[[[.,.],.],.],[.,[[.,.],[.,[.,.]]]]]]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,7,8,10,11,6,5,12,9,4,3] => [[.,.],[[[[[.,.],.],.],.],[.,[[.,.],[.,[.,.]]]]]]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [3,4,2,1,7,8,6,5,10,9,12,11] => [[[.,.],.],[.,[[[.,.],.],[.,[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [4,7,8,3,9,11,6,5,2,12,10,1] => [[[[.,.],.],.],[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,7,8,6,5,11,12,10,9] => [[.,.],[[.,.],[[[.,.],.],[.,[[[.,.],.],[.,.]]]]]]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [4,7,8,3,9,10,6,5,2,1,12,11] => [[[[.,.],.],.],[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [3,4,2,1,7,8,6,5,11,12,10,9] => [[[.,.],.],[.,[[[.,.],.],[.,[[[.,.],.],[.,.]]]]]]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [5,7,9,10,4,11,6,12,8,3,2,1] => [[[[[.,.],.],.],.],[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,5,7,4,9,6,10,8,3,12,11] => [[.,.],[[[.,.],.],[[.,.],[[.,.],[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [3,5,2,7,4,9,6,11,8,12,10,1] => [[[.,.],.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,5,7,4,9,6,11,8,12,10,3] => [[.,.],[[[.,.],.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [3,5,2,7,4,9,6,10,8,1,12,11] => [[[.,.],.],[[.,.],[[.,.],[[.,.],[.,[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [4,7,9,3,10,11,6,12,8,5,2,1] => [[[[.,.],.],.],[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,7,9,6,10,8,5,12,11] => [[.,.],[[.,.],[[[.,.],.],[[.,.],[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [3,7,2,9,10,11,6,12,8,5,4,1] => [[[.,.],.],[[[[.,.],.],.],[[.,.],[.,[.,[.,.]]]]]]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,7,9,10,11,6,12,8,5,4,3] => [[.,.],[[[[[.,.],.],.],.],[[.,.],[.,[.,[.,.]]]]]]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [3,4,2,1,7,9,6,10,8,5,12,11] => [[[.,.],.],[.,[[[.,.],.],[[.,.],[.,[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [4,5,7,3,2,9,6,11,8,12,10,1] => [[[[.,.],.],.],[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,7,9,6,11,8,12,10,5] => [[.,.],[[.,.],[[[.,.],.],[[.,.],[[.,.],[.,.]]]]]]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [4,5,7,3,2,9,6,10,8,1,12,11] => [[[[.,.],.],.],[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [3,4,2,1,7,9,6,11,8,12,10,5] => [[[.,.],.],[.,[[[.,.],.],[[.,.],[[.,.],[.,.]]]]]]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [5,7,8,10,4,11,6,3,12,9,2,1] => [[[[[.,.],.],.],.],[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,5,7,4,8,6,3,10,9,12,11] => [[.,.],[[[.,.],.],[[.,.],[.,[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [3,5,2,7,4,10,6,11,12,9,8,1] => [[[.,.],.],[[.,.],[[.,.],[[[.,.],.],[.,[.,.]]]]]]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,5,7,4,10,6,11,12,9,8,3] => [[.,.],[[[.,.],.],[[.,.],[[[.,.],.],[.,[.,.]]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [3,5,2,7,4,8,6,1,10,9,12,11] => [[[.,.],.],[[.,.],[[.,.],[.,[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [5,7,8,9,4,11,6,3,2,12,10,1] => [[[[[.,.],.],.],.],[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,5,7,4,8,6,3,11,12,10,9] => [[.,.],[[[.,.],.],[[.,.],[.,[[[.,.],.],[.,.]]]]]]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [5,7,8,9,4,10,6,3,2,1,12,11] => [[[[[.,.],.],.],.],[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [3,5,2,7,4,8,6,1,11,12,10,9] => [[[.,.],.],[[.,.],[[.,.],[.,[[[.,.],.],[.,.]]]]]]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [4,5,7,3,2,10,6,11,12,9,8,1] => [[[[.,.],.],.],[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,7,10,6,11,12,9,8,5] => [[.,.],[[.,.],[[[.,.],.],[[[.,.],.],[.,[.,.]]]]]]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [4,5,7,3,2,8,6,1,10,9,12,11] => [[[[.,.],.],.],[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [3,4,2,1,7,10,6,11,12,9,8,5] => [[[.,.],.],[.,[[[.,.],.],[[[.,.],.],[.,[.,.]]]]]]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [4,5,7,3,2,8,6,1,11,12,10,9] => [[[[.,.],.],.],[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [6,8,9,10,11,5,12,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[[.,.],[.,[.,[.,[.,.]]]]]]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,6,8,9,5,10,7,4,3,12,11] => [[.,.],[[[[.,.],.],.],[[.,.],[.,[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [3,6,2,8,9,5,11,7,4,12,10,1] => [[[.,.],.],[[[.,.],.],[[.,.],[.,[[.,.],[.,.]]]]]]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,6,8,9,5,11,7,4,12,10,3] => [[.,.],[[[[.,.],.],.],[[.,.],[.,[[.,.],[.,.]]]]]]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [3,6,2,8,9,5,10,7,4,1,12,11] => [[[.,.],.],[[[.,.],.],[[.,.],[.,[.,[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [4,6,8,3,10,5,11,7,12,9,2,1] => [[[[.,.],.],.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [2,1,4,3,6,5,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [3,6,2,8,10,5,11,7,12,9,4,1] => [[[.,.],.],[[[.,.],.],[[.,.],[[.,.],[.,[.,.]]]]]]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,6,8,10,5,11,7,12,9,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],[[.,.],[.,[.,.]]]]]]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [3,4,2,1,6,5,8,7,10,9,12,11] => [[[.,.],.],[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [4,6,8,3,9,5,11,7,2,12,10,1] => [[[[.,.],.],.],[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [2,1,4,3,6,5,8,7,11,12,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],.],[.,.]]]]]]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [4,6,8,3,9,5,10,7,2,1,12,11] => [[[[.,.],.],.],[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [3,4,2,1,6,5,8,7,11,12,10,9] => [[[.,.],.],[.,[[.,.],[[.,.],[[[.,.],.],[.,.]]]]]]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [5,8,9,10,4,11,12,7,6,3,2,1] => [[[[[.,.],.],.],.],[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,5,8,4,9,10,7,6,3,12,11] => [[.,.],[[[.,.],.],[[[.,.],.],[.,[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [3,5,2,8,4,9,11,7,6,12,10,1] => [[[.,.],.],[[.,.],[[[.,.],.],[.,[[.,.],[.,.]]]]]]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,5,8,4,9,11,7,6,12,10,3] => [[.,.],[[[.,.],.],[[[.,.],.],[.,[[.,.],[.,.]]]]]]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [3,5,2,8,4,9,10,7,6,1,12,11] => [[[.,.],.],[[.,.],[[[.,.],.],[.,[.,[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [4,8,9,3,10,11,12,7,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,8,9,10,7,6,5,12,11] => [[.,.],[[.,.],[[[[.,.],.],.],[.,[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [3,8,2,9,10,11,12,7,6,5,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,8,9,10,11,12,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [3,4,2,1,8,9,10,7,6,5,12,11] => [[[.,.],.],[.,[[[[.,.],.],.],[.,[.,[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [4,5,8,3,2,9,11,7,6,12,10,1] => [[[[.,.],.],.],[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,8,9,11,7,6,12,10,5] => [[.,.],[[.,.],[[[[.,.],.],.],[.,[[.,.],[.,.]]]]]]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [4,5,8,3,2,9,10,7,6,1,12,11] => [[[[.,.],.],.],[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [3,4,2,1,8,9,11,7,6,12,10,5] => [[[.,.],.],[.,[[[[.,.],.],.],[.,[[.,.],[.,.]]]]]]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [5,6,8,10,4,3,11,7,12,9,2,1] => [[[[[.,.],.],.],.],[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,5,6,4,3,8,7,10,9,12,11] => [[.,.],[[[.,.],.],[.,[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [3,5,2,8,4,10,11,7,12,9,6,1] => [[[.,.],.],[[.,.],[[[.,.],.],[[.,.],[.,[.,.]]]]]]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,5,8,4,10,11,7,12,9,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],[[.,.],[.,[.,.]]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [3,5,2,6,4,1,8,7,10,9,12,11] => [[[.,.],.],[[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [5,6,8,9,4,3,11,7,2,12,10,1] => [[[[[.,.],.],.],.],[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,5,6,4,3,8,7,11,12,10,9] => [[.,.],[[[.,.],.],[.,[[.,.],[[[.,.],.],[.,.]]]]]]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [5,6,8,9,4,3,10,7,2,1,12,11] => [[[[[.,.],.],.],.],[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [3,5,2,6,4,1,8,7,11,12,10,9] => [[[.,.],.],[[.,.],[.,[[.,.],[[[.,.],.],[.,.]]]]]]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [4,5,8,3,2,10,11,7,12,9,6,1] => [[[[.,.],.],.],[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,8,10,11,7,12,9,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],[[.,.],[.,[.,.]]]]]]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [4,5,6,3,2,1,8,7,10,9,12,11] => [[[[.,.],.],.],[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [3,4,2,1,8,10,11,7,12,9,6,5] => [[[.,.],.],[.,[[[[.,.],.],.],[[.,.],[.,[.,.]]]]]]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [4,5,6,3,2,1,8,7,11,12,10,9] => [[[[.,.],.],.],[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [6,7,9,10,11,5,4,12,8,3,2,1] => [[[[[[.,.],.],.],.],.],[.,[[.,.],[.,[.,[.,.]]]]]]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,6,7,9,5,4,10,8,3,12,11] => [[.,.],[[[[.,.],.],.],[.,[[.,.],[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [3,6,2,7,9,5,4,11,8,12,10,1] => [[[.,.],.],[[[.,.],.],[.,[[.,.],[[.,.],[.,.]]]]]]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,6,7,9,5,4,11,8,12,10,3] => [[.,.],[[[[.,.],.],.],[.,[[.,.],[[.,.],[.,.]]]]]]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [3,6,2,7,9,5,4,10,8,1,12,11] => [[[.,.],.],[[[.,.],.],[.,[[.,.],[.,[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [4,6,9,3,10,5,11,12,8,7,2,1] => [[[[.,.],.],.],[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,9,10,8,7,12,11] => [[.,.],[[.,.],[[.,.],[[[.,.],.],[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [3,6,2,9,10,5,11,12,8,7,4,1] => [[[.,.],.],[[[.,.],.],[[[.,.],.],[.,[.,[.,.]]]]]]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,6,9,10,5,11,12,8,7,4,3] => [[.,.],[[[[.,.],.],.],[[[.,.],.],[.,[.,[.,.]]]]]]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [3,4,2,1,6,5,9,10,8,7,12,11] => [[[.,.],.],[.,[[.,.],[[[.,.],.],[.,[[.,.],.]]]]]]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [4,6,7,3,9,5,2,11,8,12,10,1] => [[[[.,.],.],.],[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,9,11,8,12,10,7] => [[.,.],[[.,.],[[.,.],[[[.,.],.],[[.,.],[.,.]]]]]]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [4,6,7,3,9,5,2,10,8,1,12,11] => [[[[.,.],.],.],[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [3,4,2,1,6,5,9,11,8,12,10,7] => [[[.,.],.],[.,[[.,.],[[[.,.],.],[[.,.],[.,.]]]]]]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [6,7,8,10,11,5,4,3,12,9,2,1] => [[[[[[.,.],.],.],.],.],[.,[.,[[.,.],[.,[.,.]]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,6,7,8,5,4,3,10,9,12,11] => [[.,.],[[[[.,.],.],.],[.,[.,[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [3,6,2,7,10,5,4,11,12,9,8,1] => [[[.,.],.],[[[.,.],.],[.,[[[.,.],.],[.,[.,.]]]]]]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,6,7,10,5,4,11,12,9,8,3] => [[.,.],[[[[.,.],.],.],[.,[[[.,.],.],[.,[.,.]]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [3,6,2,7,8,5,4,1,10,9,12,11] => [[[.,.],.],[[[.,.],.],[.,[.,[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [6,7,8,9,11,5,4,3,2,12,10,1] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[[.,.],[.,.]]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,6,7,8,5,4,3,11,12,10,9] => [[.,.],[[[[.,.],.],.],[.,[.,[[[.,.],.],[.,.]]]]]]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [6,7,8,9,10,5,4,3,2,1,12,11] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,[[.,.],.]]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [3,6,2,7,8,5,4,1,11,12,10,9] => [[[.,.],.],[[[.,.],.],[.,[.,[[[.,.],.],[.,.]]]]]]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [4,6,7,3,10,5,2,11,12,9,8,1] => [[[[.,.],.],.],[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,10,11,12,9,8,7] => [[.,.],[[.,.],[[.,.],[[[[.,.],.],.],[.,[.,.]]]]]]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [4,6,7,3,8,5,2,1,10,9,12,11] => [[[[.,.],.],.],[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [3,4,2,1,6,5,10,11,12,9,8,7] => [[[.,.],.],[.,[[.,.],[[[[.,.],.],.],[.,[.,.]]]]]]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [4,6,7,3,8,5,2,1,11,12,10,9] => [[[[.,.],.],.],[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [5,6,9,10,4,3,11,12,8,7,2,1] => [[[[[.,.],.],.],.],[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,5,6,4,3,9,10,8,7,12,11] => [[.,.],[[[.,.],.],[.,[[[.,.],.],[.,[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [3,5,2,9,4,10,11,12,8,7,6,1] => [[[.,.],.],[[.,.],[[[[.,.],.],.],[.,[.,[.,.]]]]]]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,5,9,4,10,11,12,8,7,6,3] => [[.,.],[[[.,.],.],[[[[.,.],.],.],[.,[.,[.,.]]]]]]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [3,5,2,6,4,1,9,10,8,7,12,11] => [[[.,.],.],[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]]]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [5,6,7,9,4,3,2,11,8,12,10,1] => [[[[[.,.],.],.],.],[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,5,6,4,3,9,11,8,12,10,7] => [[.,.],[[[.,.],.],[.,[[[.,.],.],[[.,.],[.,.]]]]]]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [5,6,7,9,4,3,2,10,8,1,12,11] => [[[[[.,.],.],.],.],[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [3,5,2,6,4,1,9,11,8,12,10,7] => [[[.,.],.],[[.,.],[.,[[[.,.],.],[[.,.],[.,.]]]]]]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [4,5,9,3,2,10,11,12,8,7,6,1] => [[[[.,.],.],.],[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,9,10,11,12,8,7,6,5] => [[.,.],[[.,.],[[[[[.,.],.],.],.],[.,[.,[.,.]]]]]]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [4,5,6,3,2,1,9,10,8,7,12,11] => [[[[.,.],.],.],[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [3,4,2,1,9,10,11,12,8,7,6,5] => [[[.,.],.],[.,[[[[[.,.],.],.],.],[.,[.,[.,.]]]]]]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [4,5,6,3,2,1,9,11,8,12,10,7] => [[[[.,.],.],.],[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [5,6,7,10,4,3,2,11,12,9,8,1] => [[[[[.,.],.],.],.],[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,5,6,4,3,10,11,12,9,8,7] => [[.,.],[[[.,.],.],[.,[[[[.,.],.],.],[.,[.,.]]]]]]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [5,6,7,8,4,3,2,1,10,9,12,11] => [[[[[.,.],.],.],.],[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [3,5,2,6,4,1,10,11,12,9,8,7] => [[[.,.],.],[[.,.],[.,[[[[.,.],.],.],[.,[.,.]]]]]]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [5,6,7,8,4,3,2,1,11,12,10,9] => [[[[[.,.],.],.],.],[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [4,5,6,3,2,1,10,11,12,9,8,7] => [[[[.,.],.],.],[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]]
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [7,8,9,10,11,12,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
Map
non-nesting-exceedence permutation
Description
The fixed-point-free permutation with deficiencies given by the perfect matching, no alignments and no inversions between exceedences.
Put differently, the exceedences form the unique non-nesting perfect matching whose openers coincide with those of the given perfect matching.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.