Identifier
Mp00283: Perfect matchings —non-nesting-exceedence permutation⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
[(1,2)] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[(1,2),(3,4)] => [2,1,4,3] => [2,1,4,3] => [2,1,4,3] => [[.,.],[[.,.],.]]
[(1,3),(2,4)] => [3,4,1,2] => [3,4,1,2] => [4,1,3,2] => [[.,.],[[.,.],.]]
[(1,4),(2,3)] => [3,4,2,1] => [4,3,1,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[(1,2),(3,4),(5,6)] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[(1,3),(2,4),(5,6)] => [3,4,1,2,6,5] => [3,4,1,2,6,5] => [4,1,3,2,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[(1,4),(2,3),(5,6)] => [3,4,2,1,6,5] => [4,3,1,2,6,5] => [3,1,4,2,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[(1,5),(2,3),(4,6)] => [3,5,2,6,1,4] => [5,3,1,6,2,4] => [3,1,6,2,5,4] => [[.,.],[[.,.],[[.,.],.]]]
[(1,6),(2,3),(4,5)] => [3,5,2,6,4,1] => [6,3,1,5,2,4] => [3,1,5,2,6,4] => [[.,.],[[.,.],[[.,.],.]]]
[(1,6),(2,4),(3,5)] => [4,5,6,2,3,1] => [6,4,5,1,2,3] => [5,1,4,2,6,3] => [[.,.],[[.,.],[[.,.],.]]]
[(1,5),(2,4),(3,6)] => [4,5,6,2,1,3] => [5,4,6,1,2,3] => [6,1,4,2,5,3] => [[.,.],[[.,.],[[.,.],.]]]
[(1,4),(2,5),(3,6)] => [4,5,6,1,2,3] => [4,5,6,1,2,3] => [6,1,5,2,4,3] => [[.,.],[[.,.],[[.,.],.]]]
[(1,3),(2,5),(4,6)] => [3,5,1,6,2,4] => [3,5,1,6,2,4] => [6,1,3,2,5,4] => [[.,.],[[.,.],[[.,.],.]]]
[(1,2),(3,5),(4,6)] => [2,1,5,6,3,4] => [2,1,5,6,3,4] => [2,1,6,3,5,4] => [[.,.],[[.,.],[[.,.],.]]]
[(1,2),(3,6),(4,5)] => [2,1,5,6,4,3] => [2,1,6,5,3,4] => [2,1,5,3,6,4] => [[.,.],[[.,.],[[.,.],.]]]
[(1,3),(2,6),(4,5)] => [3,5,1,6,4,2] => [3,6,1,5,2,4] => [5,1,3,2,6,4] => [[.,.],[[.,.],[[.,.],.]]]
[(1,4),(2,6),(3,5)] => [4,5,6,1,3,2] => [4,6,5,1,2,3] => [5,1,6,2,4,3] => [[.,.],[[.,.],[[.,.],.]]]
[(1,5),(2,6),(3,4)] => [4,5,6,3,1,2] => [5,6,4,1,2,3] => [4,1,6,2,5,3] => [[.,.],[[.,.],[[.,.],.]]]
[(1,6),(2,5),(3,4)] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => [4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]]
[(1,2),(3,4),(5,6),(7,8)] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,4),(5,6),(7,8)] => [3,4,1,2,6,5,8,7] => [3,4,1,2,6,5,8,7] => [4,1,3,2,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,3),(5,6),(7,8)] => [3,4,2,1,6,5,8,7] => [4,3,1,2,6,5,8,7] => [3,1,4,2,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,3),(4,6),(7,8)] => [3,5,2,6,1,4,8,7] => [5,3,1,6,2,4,8,7] => [3,1,6,2,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,3),(4,5),(7,8)] => [3,5,2,6,4,1,8,7] => [6,3,1,5,2,4,8,7] => [3,1,5,2,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,3),(4,5),(6,8)] => [3,5,2,7,4,8,1,6] => [7,3,1,5,2,8,4,6] => [3,1,5,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,3),(4,5),(6,7)] => [3,5,2,7,4,8,6,1] => [8,3,1,5,2,7,4,6] => [3,1,5,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,4),(3,5),(6,7)] => [4,5,7,2,3,8,6,1] => [8,4,5,1,2,7,3,6] => [5,1,4,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,4),(3,5),(6,8)] => [4,5,7,2,3,8,1,6] => [7,4,5,1,2,8,3,6] => [5,1,4,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,4),(3,5),(7,8)] => [4,5,6,2,3,1,8,7] => [6,4,5,1,2,3,8,7] => [5,1,4,2,6,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,4),(3,6),(7,8)] => [4,5,6,2,1,3,8,7] => [5,4,6,1,2,3,8,7] => [6,1,4,2,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,5),(3,6),(7,8)] => [4,5,6,1,2,3,8,7] => [4,5,6,1,2,3,8,7] => [6,1,5,2,4,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,5),(4,6),(7,8)] => [3,5,1,6,2,4,8,7] => [3,5,1,6,2,4,8,7] => [6,1,3,2,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,5),(4,6),(7,8)] => [2,1,5,6,3,4,8,7] => [2,1,5,6,3,4,8,7] => [2,1,6,3,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,6),(4,5),(7,8)] => [2,1,5,6,4,3,8,7] => [2,1,6,5,3,4,8,7] => [2,1,5,3,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,6),(4,5),(7,8)] => [3,5,1,6,4,2,8,7] => [3,6,1,5,2,4,8,7] => [5,1,3,2,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,6),(3,5),(7,8)] => [4,5,6,1,3,2,8,7] => [4,6,5,1,2,3,8,7] => [5,1,6,2,4,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,6),(3,4),(7,8)] => [4,5,6,3,1,2,8,7] => [5,6,4,1,2,3,8,7] => [4,1,6,2,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,5),(3,4),(7,8)] => [4,5,6,3,2,1,8,7] => [6,5,4,1,2,3,8,7] => [4,1,5,2,6,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,5),(3,4),(6,8)] => [4,5,7,3,2,8,1,6] => [7,5,4,1,2,8,3,6] => [4,1,5,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,5),(3,4),(6,7)] => [4,5,7,3,2,8,6,1] => [8,5,4,1,2,7,3,6] => [4,1,5,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,6),(3,4),(5,7)] => [4,6,7,3,8,2,5,1] => [8,6,4,1,7,2,3,5] => [4,1,7,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,6),(3,4),(5,8)] => [4,6,7,3,8,2,1,5] => [7,6,4,1,8,2,3,5] => [4,1,8,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,7),(3,4),(5,8)] => [4,6,7,3,8,1,2,5] => [6,7,4,1,8,2,3,5] => [4,1,8,2,7,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,7),(3,4),(6,8)] => [4,5,7,3,1,8,2,6] => [5,7,4,1,2,8,3,6] => [4,1,8,2,5,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,7),(3,5),(6,8)] => [4,5,7,1,3,8,2,6] => [4,7,5,1,2,8,3,6] => [5,1,8,2,4,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,7),(4,5),(6,8)] => [3,5,1,7,4,8,2,6] => [3,7,1,5,2,8,4,6] => [5,1,3,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,7),(4,5),(6,8)] => [2,1,5,7,4,8,3,6] => [2,1,7,5,3,8,4,6] => [2,1,5,3,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,8),(4,5),(6,7)] => [2,1,5,7,4,8,6,3] => [2,1,8,5,3,7,4,6] => [2,1,5,3,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,8),(4,5),(6,7)] => [3,5,1,7,4,8,6,2] => [3,8,1,5,2,7,4,6] => [5,1,3,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,8),(3,5),(6,7)] => [4,5,7,1,3,8,6,2] => [4,8,5,1,2,7,3,6] => [5,1,7,2,4,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,8),(3,4),(6,7)] => [4,5,7,3,1,8,6,2] => [5,8,4,1,2,7,3,6] => [4,1,7,2,5,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,8),(3,4),(5,7)] => [4,6,7,3,8,1,5,2] => [6,8,4,1,7,2,3,5] => [4,1,7,2,8,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,8),(3,4),(5,6)] => [4,6,7,3,8,5,1,2] => [7,8,4,1,6,2,3,5] => [4,1,6,2,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,7),(3,4),(5,6)] => [4,6,7,3,8,5,2,1] => [8,7,4,1,6,2,3,5] => [4,1,6,2,7,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,7),(3,5),(4,6)] => [5,6,7,8,3,4,2,1] => [8,7,5,6,1,2,3,4] => [6,1,5,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,8),(3,5),(4,6)] => [5,6,7,8,3,4,1,2] => [7,8,5,6,1,2,3,4] => [6,1,5,2,8,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,8),(3,5),(4,7)] => [5,6,7,8,3,1,4,2] => [6,8,5,7,1,2,3,4] => [7,1,5,2,8,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,8),(3,6),(4,7)] => [5,6,7,8,1,3,4,2] => [5,8,6,7,1,2,3,4] => [7,1,6,2,8,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,8),(3,6),(5,7)] => [4,6,7,1,8,3,5,2] => [4,8,6,1,7,2,3,5] => [7,1,6,2,4,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,8),(4,6),(5,7)] => [3,6,1,7,8,4,5,2] => [3,8,1,6,7,2,4,5] => [7,1,3,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,8),(4,6),(5,7)] => [2,1,6,7,8,4,5,3] => [2,1,8,6,7,3,4,5] => [2,1,7,3,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,7),(4,6),(5,8)] => [2,1,6,7,8,4,3,5] => [2,1,7,6,8,3,4,5] => [2,1,8,3,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,7),(4,6),(5,8)] => [3,6,1,7,8,4,2,5] => [3,7,1,6,8,2,4,5] => [8,1,3,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,7),(3,6),(5,8)] => [4,6,7,1,8,3,2,5] => [4,7,6,1,8,2,3,5] => [8,1,6,2,4,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,7),(3,6),(4,8)] => [5,6,7,8,1,3,2,4] => [5,7,6,8,1,2,3,4] => [8,1,6,2,7,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,7),(3,5),(4,8)] => [5,6,7,8,3,1,2,4] => [6,7,5,8,1,2,3,4] => [8,1,5,2,7,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,6),(3,5),(4,8)] => [5,6,7,8,3,2,1,4] => [7,6,5,8,1,2,3,4] => [8,1,5,2,6,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,6),(3,5),(4,7)] => [5,6,7,8,3,2,4,1] => [8,6,5,7,1,2,3,4] => [7,1,5,2,6,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,5),(3,6),(4,7)] => [5,6,7,8,2,3,4,1] => [8,5,6,7,1,2,3,4] => [7,1,6,2,5,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,5),(3,6),(4,8)] => [5,6,7,8,2,3,1,4] => [7,5,6,8,1,2,3,4] => [8,1,6,2,5,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,5),(3,7),(4,8)] => [5,6,7,8,2,1,3,4] => [6,5,7,8,1,2,3,4] => [8,1,7,2,5,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,6),(3,7),(4,8)] => [5,6,7,8,1,2,3,4] => [5,6,7,8,1,2,3,4] => [8,1,7,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,6),(3,7),(5,8)] => [4,6,7,1,8,2,3,5] => [4,6,7,1,8,2,3,5] => [8,1,7,2,4,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,6),(4,7),(5,8)] => [3,6,1,7,8,2,4,5] => [3,6,1,7,8,2,4,5] => [8,1,3,2,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,6),(4,7),(5,8)] => [2,1,6,7,8,3,4,5] => [2,1,6,7,8,3,4,5] => [2,1,8,3,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,5),(4,7),(6,8)] => [2,1,5,7,3,8,4,6] => [2,1,5,7,3,8,4,6] => [2,1,8,3,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,5),(4,7),(6,8)] => [3,5,1,7,2,8,4,6] => [3,5,1,7,2,8,4,6] => [8,1,3,2,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,5),(3,7),(6,8)] => [4,5,7,1,2,8,3,6] => [4,5,7,1,2,8,3,6] => [8,1,5,2,4,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,4),(3,7),(6,8)] => [4,5,7,2,1,8,3,6] => [5,4,7,1,2,8,3,6] => [8,1,4,2,5,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,4),(3,7),(5,8)] => [4,6,7,2,8,1,3,5] => [6,4,7,1,8,2,3,5] => [8,1,4,2,7,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,4),(3,6),(5,8)] => [4,6,7,2,8,3,1,5] => [7,4,6,1,8,2,3,5] => [8,1,4,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,4),(3,6),(5,7)] => [4,6,7,2,8,3,5,1] => [8,4,6,1,7,2,3,5] => [7,1,4,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,3),(4,6),(5,7)] => [3,6,2,7,8,4,5,1] => [8,3,1,6,7,2,4,5] => [3,1,7,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,3),(4,6),(5,8)] => [3,6,2,7,8,4,1,5] => [7,3,1,6,8,2,4,5] => [3,1,8,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,3),(4,7),(5,8)] => [3,6,2,7,8,1,4,5] => [6,3,1,7,8,2,4,5] => [3,1,8,2,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,3),(4,7),(6,8)] => [3,5,2,7,1,8,4,6] => [5,3,1,7,2,8,4,6] => [3,1,8,2,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,3),(5,7),(6,8)] => [3,4,2,1,7,8,5,6] => [4,3,1,2,7,8,5,6] => [3,1,4,2,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,4),(5,7),(6,8)] => [3,4,1,2,7,8,5,6] => [3,4,1,2,7,8,5,6] => [4,1,3,2,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,4),(5,7),(6,8)] => [2,1,4,3,7,8,5,6] => [2,1,4,3,7,8,5,6] => [2,1,4,3,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,4),(5,8),(6,7)] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,4),(5,8),(6,7)] => [3,4,1,2,7,8,6,5] => [3,4,1,2,8,7,5,6] => [4,1,3,2,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,3),(5,8),(6,7)] => [3,4,2,1,7,8,6,5] => [4,3,1,2,8,7,5,6] => [3,1,4,2,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,3),(4,8),(6,7)] => [3,5,2,7,1,8,6,4] => [5,3,1,8,2,7,4,6] => [3,1,7,2,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,3),(4,8),(5,7)] => [3,6,2,7,8,1,5,4] => [6,3,1,8,7,2,4,5] => [3,1,7,2,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,3),(4,8),(5,6)] => [3,6,2,7,8,5,1,4] => [7,3,1,8,6,2,4,5] => [3,1,6,2,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,3),(4,7),(5,6)] => [3,6,2,7,8,5,4,1] => [8,3,1,7,6,2,4,5] => [3,1,6,2,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,4),(3,7),(5,6)] => [4,6,7,2,8,5,3,1] => [8,4,7,1,6,2,3,5] => [6,1,4,2,7,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,4),(3,8),(5,6)] => [4,6,7,2,8,5,1,3] => [7,4,8,1,6,2,3,5] => [6,1,4,2,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,4),(3,8),(5,7)] => [4,6,7,2,8,1,5,3] => [6,4,8,1,7,2,3,5] => [7,1,4,2,8,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,4),(3,8),(6,7)] => [4,5,7,2,1,8,6,3] => [5,4,8,1,2,7,3,6] => [7,1,4,2,5,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,5),(3,8),(6,7)] => [4,5,7,1,2,8,6,3] => [4,5,8,1,2,7,3,6] => [7,1,5,2,4,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
>>> Load all 303 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [3,5,1,7,2,8,6,4] => [3,5,1,8,2,7,4,6] => [7,1,3,2,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,5),(4,8),(6,7)] => [2,1,5,7,3,8,6,4] => [2,1,5,8,3,7,4,6] => [2,1,7,3,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,6),(4,8),(5,7)] => [2,1,6,7,8,3,5,4] => [2,1,6,8,7,3,4,5] => [2,1,7,3,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,6),(4,8),(5,7)] => [3,6,1,7,8,2,5,4] => [3,6,1,8,7,2,4,5] => [7,1,3,2,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,6),(3,8),(5,7)] => [4,6,7,1,8,2,5,3] => [4,6,8,1,7,2,3,5] => [7,1,8,2,4,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,6),(3,8),(4,7)] => [5,6,7,8,1,2,4,3] => [5,6,8,7,1,2,3,4] => [7,1,8,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,5),(3,8),(4,7)] => [5,6,7,8,2,1,4,3] => [6,5,8,7,1,2,3,4] => [7,1,8,2,5,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,5),(3,8),(4,6)] => [5,6,7,8,2,4,1,3] => [7,5,8,6,1,2,3,4] => [6,1,8,2,5,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,5),(3,7),(4,6)] => [5,6,7,8,2,4,3,1] => [8,5,7,6,1,2,3,4] => [6,1,7,2,5,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,6),(3,7),(4,5)] => [5,6,7,8,4,2,3,1] => [8,6,7,5,1,2,3,4] => [5,1,7,2,6,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,6),(3,8),(4,5)] => [5,6,7,8,4,2,1,3] => [7,6,8,5,1,2,3,4] => [5,1,8,2,6,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,7),(3,8),(4,5)] => [5,6,7,8,4,1,2,3] => [6,7,8,5,1,2,3,4] => [5,1,8,2,7,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,7),(3,8),(4,6)] => [5,6,7,8,1,4,2,3] => [5,7,8,6,1,2,3,4] => [6,1,8,2,7,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,7),(3,8),(5,6)] => [4,6,7,1,8,5,2,3] => [4,7,8,1,6,2,3,5] => [6,1,8,2,4,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,7),(4,8),(5,6)] => [3,6,1,7,8,5,2,4] => [3,7,1,8,6,2,4,5] => [6,1,3,2,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,7),(4,8),(5,6)] => [2,1,6,7,8,5,3,4] => [2,1,7,8,6,3,4,5] => [2,1,6,3,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,8),(4,7),(5,6)] => [2,1,6,7,8,5,4,3] => [2,1,8,7,6,3,4,5] => [2,1,6,3,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,3),(2,8),(4,7),(5,6)] => [3,6,1,7,8,5,4,2] => [3,8,1,7,6,2,4,5] => [6,1,3,2,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,4),(2,8),(3,7),(5,6)] => [4,6,7,1,8,5,3,2] => [4,8,7,1,6,2,3,5] => [6,1,7,2,4,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,5),(2,8),(3,7),(4,6)] => [5,6,7,8,1,4,3,2] => [5,8,7,6,1,2,3,4] => [6,1,7,2,8,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,6),(2,8),(3,7),(4,5)] => [5,6,7,8,4,1,3,2] => [6,8,7,5,1,2,3,4] => [5,1,7,2,8,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,7),(2,8),(3,6),(4,5)] => [5,6,7,8,4,3,1,2] => [7,8,6,5,1,2,3,4] => [5,1,6,2,8,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,8),(2,7),(3,6),(4,5)] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => [5,1,6,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [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] => [3,4,1,2,6,5,8,7,10,9] => [4,1,3,2,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [3,4,2,1,6,5,8,7,10,9] => [4,3,1,2,6,5,8,7,10,9] => [3,1,4,2,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [3,5,2,6,4,1,8,7,10,9] => [6,3,1,5,2,4,8,7,10,9] => [3,1,5,2,6,4,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [3,5,2,7,4,8,6,1,10,9] => [8,3,1,5,2,7,4,6,10,9] => [3,1,5,2,7,4,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [3,5,2,7,4,9,6,10,8,1] => [10,3,1,5,2,7,4,9,6,8] => [3,1,5,2,7,4,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,5,6,4,3,8,7,10,9] => [2,1,6,5,3,4,8,7,10,9] => [2,1,5,3,6,4,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [4,5,6,3,2,1,8,7,10,9] => [6,5,4,1,2,3,8,7,10,9] => [4,1,5,2,6,3,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [4,5,7,3,2,8,6,1,10,9] => [8,5,4,1,2,7,3,6,10,9] => [4,1,5,2,7,3,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [4,5,7,3,2,9,6,10,8,1] => [10,5,4,1,2,7,3,9,6,8] => [4,1,5,2,7,3,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,5,7,4,8,6,3,10,9] => [2,1,8,5,3,7,4,6,10,9] => [2,1,5,3,7,4,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [4,6,7,3,8,5,2,1,10,9] => [8,7,4,1,6,2,3,5,10,9] => [4,1,6,2,7,3,8,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [4,6,7,3,9,5,2,10,8,1] => [10,7,4,1,6,2,3,9,5,8] => [4,1,6,2,7,3,9,5,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,5,7,4,9,6,10,8,3] => [2,1,10,5,3,7,4,9,6,8] => [2,1,5,3,7,4,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [4,6,8,3,9,5,10,7,2,1] => [10,9,4,1,6,2,8,3,5,7] => [4,1,6,2,8,3,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [3,4,1,2,7,8,5,6,10,9] => [3,4,1,2,7,8,5,6,10,9] => [4,1,3,2,8,5,7,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,7,8,6,5,10,9] => [2,1,4,3,8,7,5,6,10,9] => [2,1,4,3,7,5,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [3,4,2,1,7,8,6,5,10,9] => [4,3,1,2,8,7,5,6,10,9] => [3,1,4,2,7,5,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [3,6,2,7,8,5,4,1,10,9] => [8,3,1,7,6,2,4,5,10,9] => [3,1,6,2,7,4,8,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [3,6,2,7,9,5,4,10,8,1] => [10,3,1,7,6,2,4,9,5,8] => [3,1,6,2,7,4,9,5,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,6,7,8,5,4,3,10,9] => [2,1,8,7,6,3,4,5,10,9] => [2,1,6,3,7,4,8,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [5,6,7,8,4,3,2,1,10,9] => [8,7,6,5,1,2,3,4,10,9] => [5,1,6,2,7,3,8,4,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [5,6,7,9,4,3,2,10,8,1] => [10,7,6,5,1,2,3,9,4,8] => [5,1,6,2,7,3,9,4,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,6,7,9,5,4,10,8,3] => [2,1,10,7,6,3,4,9,5,8] => [2,1,6,3,7,4,9,5,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [5,6,8,9,4,3,10,7,2,1] => [10,9,6,5,1,2,8,3,4,7] => [5,1,6,2,8,3,9,4,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,7,9,6,10,8,5] => [2,1,4,3,10,7,5,9,6,8] => [2,1,4,3,7,5,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [3,4,2,1,7,9,6,10,8,5] => [4,3,1,2,10,7,5,9,6,8] => [3,1,4,2,7,5,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [3,6,2,8,9,5,10,7,4,1] => [10,3,1,9,6,2,8,4,5,7] => [3,1,6,2,8,4,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,6,8,9,5,10,7,4,3] => [2,1,10,9,6,3,8,4,5,7] => [2,1,6,3,8,4,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [5,7,8,9,4,10,6,3,2,1] => [10,9,8,5,1,7,2,3,4,6] => [5,1,7,2,8,3,9,4,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [6,7,8,9,10,1,2,3,4,5] => [6,7,8,9,10,1,2,3,4,5] => [10,1,9,2,8,3,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [2,1,5,6,3,4,9,10,7,8] => [2,1,5,6,3,4,9,10,7,8] => [2,1,6,3,5,4,10,7,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [2,1,4,3,6,5,9,10,7,8] => [2,1,4,3,6,5,9,10,7,8] => [2,1,4,3,6,5,10,7,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [2,1,4,3,6,5,9,10,8,7] => [2,1,4,3,6,5,10,9,7,8] => [2,1,4,3,6,5,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [3,4,2,1,6,5,9,10,8,7] => [4,3,1,2,6,5,10,9,7,8] => [3,1,4,2,6,5,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [3,5,2,6,4,1,9,10,8,7] => [6,3,1,5,2,4,10,9,7,8] => [3,1,5,2,6,4,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [3,5,2,8,4,9,10,7,6,1] => [10,3,1,5,2,9,8,4,6,7] => [3,1,5,2,8,4,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,5,6,4,3,9,10,8,7] => [2,1,6,5,3,4,10,9,7,8] => [2,1,5,3,6,4,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [4,5,6,3,2,1,9,10,8,7] => [6,5,4,1,2,3,10,9,7,8] => [4,1,5,2,6,3,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [4,5,8,3,2,9,10,7,6,1] => [10,5,4,1,2,9,8,3,6,7] => [4,1,5,2,8,3,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,5,8,4,9,10,7,6,3] => [2,1,10,5,3,9,8,4,6,7] => [2,1,5,3,8,4,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [4,7,8,3,9,10,6,5,2,1] => [10,9,4,1,8,7,2,3,5,6] => [4,1,7,2,8,3,9,5,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,8,9,10,7,6,5] => [2,1,4,3,10,9,8,5,6,7] => [2,1,4,3,8,5,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [3,4,2,1,8,9,10,7,6,5] => [4,3,1,2,10,9,8,5,6,7] => [3,1,4,2,8,5,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [3,7,2,8,9,10,6,5,4,1] => [10,3,1,9,8,7,2,4,5,6] => [3,1,7,2,8,4,9,5,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,7,8,9,10,6,5,4,3] => [2,1,10,9,8,7,3,4,5,6] => [2,1,7,3,8,4,9,5,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => [6,1,7,2,8,3,9,4,10,5] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [7,8,9,10,11,12,6,5,4,3,2,1] => [12,11,10,9,8,7,1,2,3,4,5,6] => [7,1,8,2,9,3,10,4,11,5,12,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [2,1,7,8,9,10,6,5,4,3,12,11] => [2,1,10,9,8,7,3,4,5,6,12,11] => [2,1,7,3,8,4,9,5,10,6,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [3,7,2,8,9,11,6,5,4,12,10,1] => [12,3,1,9,8,7,2,4,5,11,6,10] => [3,1,7,2,8,4,9,5,11,6,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,7,8,9,11,6,5,4,12,10,3] => [2,1,12,9,8,7,3,4,5,11,6,10] => [2,1,7,3,8,4,9,5,11,6,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [3,7,2,8,9,10,6,5,4,1,12,11] => [10,3,1,9,8,7,2,4,5,6,12,11] => [3,1,7,2,8,4,9,5,10,6,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [4,7,8,3,10,11,6,5,12,9,2,1] => [12,11,4,1,8,7,2,3,10,5,6,9] => [4,1,7,2,8,3,10,5,11,6,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,7,8,6,5,10,9,12,11] => [2,1,4,3,8,7,5,6,10,9,12,11] => [2,1,4,3,7,5,8,6,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [3,7,2,8,10,11,6,5,12,9,4,1] => [12,3,1,11,8,7,2,4,10,5,6,9] => [3,1,7,2,8,4,10,5,11,6,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,7,8,10,11,6,5,12,9,4,3] => [2,1,12,11,8,7,3,4,10,5,6,9] => [2,1,7,3,8,4,10,5,11,6,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [3,4,2,1,7,8,6,5,10,9,12,11] => [4,3,1,2,8,7,5,6,10,9,12,11] => [3,1,4,2,7,5,8,6,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [4,7,8,3,9,11,6,5,2,12,10,1] => [12,9,4,1,8,7,2,3,5,11,6,10] => [4,1,7,2,8,3,9,5,11,6,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,7,8,6,5,11,12,10,9] => [2,1,4,3,8,7,5,6,12,11,9,10] => [2,1,4,3,7,5,8,6,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [4,7,8,3,9,10,6,5,2,1,12,11] => [10,9,4,1,8,7,2,3,5,6,12,11] => [4,1,7,2,8,3,9,5,10,6,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [3,4,2,1,7,8,6,5,11,12,10,9] => [4,3,1,2,8,7,5,6,12,11,9,10] => [3,1,4,2,7,5,8,6,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [5,7,9,10,4,11,6,12,8,3,2,1] => [12,11,10,5,1,7,2,9,3,4,6,8] => [5,1,7,2,9,3,10,4,11,6,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,5,7,4,9,6,10,8,3,12,11] => [2,1,10,5,3,7,4,9,6,8,12,11] => [2,1,5,3,7,4,9,6,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [3,5,2,7,4,9,6,11,8,12,10,1] => [12,3,1,5,2,7,4,9,6,11,8,10] => [3,1,5,2,7,4,9,6,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,5,7,4,9,6,11,8,12,10,3] => [2,1,12,5,3,7,4,9,6,11,8,10] => [2,1,5,3,7,4,9,6,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [3,5,2,7,4,9,6,10,8,1,12,11] => [10,3,1,5,2,7,4,9,6,8,12,11] => [3,1,5,2,7,4,9,6,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [4,7,9,3,10,11,6,12,8,5,2,1] => [12,11,4,1,10,7,2,9,3,5,6,8] => [4,1,7,2,9,3,10,5,11,6,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,7,9,6,10,8,5,12,11] => [2,1,4,3,10,7,5,9,6,8,12,11] => [2,1,4,3,7,5,9,6,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [3,7,2,9,10,11,6,12,8,5,4,1] => [12,3,1,11,10,7,2,9,4,5,6,8] => [3,1,7,2,9,4,10,5,11,6,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,7,9,10,11,6,12,8,5,4,3] => [2,1,12,11,10,7,3,9,4,5,6,8] => [2,1,7,3,9,4,10,5,11,6,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [3,4,2,1,7,9,6,10,8,5,12,11] => [4,3,1,2,10,7,5,9,6,8,12,11] => [3,1,4,2,7,5,9,6,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [4,5,7,3,2,9,6,11,8,12,10,1] => [12,5,4,1,2,7,3,9,6,11,8,10] => [4,1,5,2,7,3,9,6,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,7,9,6,11,8,12,10,5] => [2,1,4,3,12,7,5,9,6,11,8,10] => [2,1,4,3,7,5,9,6,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [4,5,7,3,2,9,6,10,8,1,12,11] => [10,5,4,1,2,7,3,9,6,8,12,11] => [4,1,5,2,7,3,9,6,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [3,4,2,1,7,9,6,11,8,12,10,5] => [4,3,1,2,12,7,5,9,6,11,8,10] => [3,1,4,2,7,5,9,6,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [5,7,8,10,4,11,6,3,12,9,2,1] => [12,11,8,5,1,7,2,3,10,4,6,9] => [5,1,7,2,8,3,10,4,11,6,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,5,7,4,8,6,3,10,9,12,11] => [2,1,8,5,3,7,4,6,10,9,12,11] => [2,1,5,3,7,4,8,6,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [3,5,2,7,4,10,6,11,12,9,8,1] => [12,3,1,5,2,7,4,11,10,6,8,9] => [3,1,5,2,7,4,10,6,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,5,7,4,10,6,11,12,9,8,3] => [2,1,12,5,3,7,4,11,10,6,8,9] => [2,1,5,3,7,4,10,6,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [3,5,2,7,4,8,6,1,10,9,12,11] => [8,3,1,5,2,7,4,6,10,9,12,11] => [3,1,5,2,7,4,8,6,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [5,7,8,9,4,11,6,3,2,12,10,1] => [12,9,8,5,1,7,2,3,4,11,6,10] => [5,1,7,2,8,3,9,4,11,6,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,5,7,4,8,6,3,11,12,10,9] => [2,1,8,5,3,7,4,6,12,11,9,10] => [2,1,5,3,7,4,8,6,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [5,7,8,9,4,10,6,3,2,1,12,11] => [10,9,8,5,1,7,2,3,4,6,12,11] => [5,1,7,2,8,3,9,4,10,6,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [3,5,2,7,4,8,6,1,11,12,10,9] => [8,3,1,5,2,7,4,6,12,11,9,10] => [3,1,5,2,7,4,8,6,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [4,5,7,3,2,10,6,11,12,9,8,1] => [12,5,4,1,2,7,3,11,10,6,8,9] => [4,1,5,2,7,3,10,6,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,7,10,6,11,12,9,8,5] => [2,1,4,3,12,7,5,11,10,6,8,9] => [2,1,4,3,7,5,10,6,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [4,5,7,3,2,8,6,1,10,9,12,11] => [8,5,4,1,2,7,3,6,10,9,12,11] => [4,1,5,2,7,3,8,6,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [3,4,2,1,7,10,6,11,12,9,8,5] => [4,3,1,2,12,7,5,11,10,6,8,9] => [3,1,4,2,7,5,10,6,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [4,5,7,3,2,8,6,1,11,12,10,9] => [8,5,4,1,2,7,3,6,12,11,9,10] => [4,1,5,2,7,3,8,6,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [6,8,9,10,11,5,12,7,4,3,2,1] => [12,11,10,9,6,1,8,2,3,4,5,7] => [6,1,8,2,9,3,10,4,11,5,12,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,6,8,9,5,10,7,4,3,12,11] => [2,1,10,9,6,3,8,4,5,7,12,11] => [2,1,6,3,8,4,9,5,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [3,6,2,8,9,5,11,7,4,12,10,1] => [12,3,1,9,6,2,8,4,5,11,7,10] => [3,1,6,2,8,4,9,5,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,6,8,9,5,11,7,4,12,10,3] => [2,1,12,9,6,3,8,4,5,11,7,10] => [2,1,6,3,8,4,9,5,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [3,6,2,8,9,5,10,7,4,1,12,11] => [10,3,1,9,6,2,8,4,5,7,12,11] => [3,1,6,2,8,4,9,5,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [4,6,8,3,10,5,11,7,12,9,2,1] => [12,11,4,1,6,2,8,3,10,5,7,9] => [4,1,6,2,8,3,10,5,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [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] => [12,3,1,11,6,2,8,4,10,5,7,9] => [3,1,6,2,8,4,10,5,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,6,8,10,5,11,7,12,9,4,3] => [2,1,12,11,6,3,8,4,10,5,7,9] => [2,1,6,3,8,4,10,5,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [3,4,2,1,6,5,8,7,10,9,12,11] => [4,3,1,2,6,5,8,7,10,9,12,11] => [3,1,4,2,6,5,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [4,6,8,3,9,5,11,7,2,12,10,1] => [12,9,4,1,6,2,8,3,5,11,7,10] => [4,1,6,2,8,3,9,5,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [2,1,4,3,6,5,8,7,11,12,10,9] => [2,1,4,3,6,5,8,7,12,11,9,10] => [2,1,4,3,6,5,8,7,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [4,6,8,3,9,5,10,7,2,1,12,11] => [10,9,4,1,6,2,8,3,5,7,12,11] => [4,1,6,2,8,3,9,5,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [3,4,2,1,6,5,8,7,11,12,10,9] => [4,3,1,2,6,5,8,7,12,11,9,10] => [3,1,4,2,6,5,8,7,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [5,8,9,10,4,11,12,7,6,3,2,1] => [12,11,10,5,1,9,8,2,3,4,6,7] => [5,1,8,2,9,3,10,4,11,6,12,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,5,8,4,9,10,7,6,3,12,11] => [2,1,10,5,3,9,8,4,6,7,12,11] => [2,1,5,3,8,4,9,6,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [3,5,2,8,4,9,11,7,6,12,10,1] => [12,3,1,5,2,9,8,4,6,11,7,10] => [3,1,5,2,8,4,9,6,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,5,8,4,9,11,7,6,12,10,3] => [2,1,12,5,3,9,8,4,6,11,7,10] => [2,1,5,3,8,4,9,6,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [3,5,2,8,4,9,10,7,6,1,12,11] => [10,3,1,5,2,9,8,4,6,7,12,11] => [3,1,5,2,8,4,9,6,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [4,8,9,3,10,11,12,7,6,5,2,1] => [12,11,4,1,10,9,8,2,3,5,6,7] => [4,1,8,2,9,3,10,5,11,6,12,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,8,9,10,7,6,5,12,11] => [2,1,4,3,10,9,8,5,6,7,12,11] => [2,1,4,3,8,5,9,6,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [3,8,2,9,10,11,12,7,6,5,4,1] => [12,3,1,11,10,9,8,2,4,5,6,7] => [3,1,8,2,9,4,10,5,11,6,12,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,8,9,10,11,12,7,6,5,4,3] => [2,1,12,11,10,9,8,3,4,5,6,7] => [2,1,8,3,9,4,10,5,11,6,12,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [3,4,2,1,8,9,10,7,6,5,12,11] => [4,3,1,2,10,9,8,5,6,7,12,11] => [3,1,4,2,8,5,9,6,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [4,5,8,3,2,9,11,7,6,12,10,1] => [12,5,4,1,2,9,8,3,6,11,7,10] => [4,1,5,2,8,3,9,6,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,8,9,11,7,6,12,10,5] => [2,1,4,3,12,9,8,5,6,11,7,10] => [2,1,4,3,8,5,9,6,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [4,5,8,3,2,9,10,7,6,1,12,11] => [10,5,4,1,2,9,8,3,6,7,12,11] => [4,1,5,2,8,3,9,6,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [3,4,2,1,8,9,11,7,6,12,10,5] => [4,3,1,2,12,9,8,5,6,11,7,10] => [3,1,4,2,8,5,9,6,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [5,6,8,10,4,3,11,7,12,9,2,1] => [12,11,6,5,1,2,8,3,10,4,7,9] => [5,1,6,2,8,3,10,4,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,5,6,4,3,8,7,10,9,12,11] => [2,1,6,5,3,4,8,7,10,9,12,11] => [2,1,5,3,6,4,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [3,5,2,8,4,10,11,7,12,9,6,1] => [12,3,1,5,2,11,8,4,10,6,7,9] => [3,1,5,2,8,4,10,6,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,5,8,4,10,11,7,12,9,6,3] => [2,1,12,5,3,11,8,4,10,6,7,9] => [2,1,5,3,8,4,10,6,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [3,5,2,6,4,1,8,7,10,9,12,11] => [6,3,1,5,2,4,8,7,10,9,12,11] => [3,1,5,2,6,4,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [5,6,8,9,4,3,11,7,2,12,10,1] => [12,9,6,5,1,2,8,3,4,11,7,10] => [5,1,6,2,8,3,9,4,11,7,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,5,6,4,3,8,7,11,12,10,9] => [2,1,6,5,3,4,8,7,12,11,9,10] => [2,1,5,3,6,4,8,7,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [5,6,8,9,4,3,10,7,2,1,12,11] => [10,9,6,5,1,2,8,3,4,7,12,11] => [5,1,6,2,8,3,9,4,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [3,5,2,6,4,1,8,7,11,12,10,9] => [6,3,1,5,2,4,8,7,12,11,9,10] => [3,1,5,2,6,4,8,7,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [4,5,8,3,2,10,11,7,12,9,6,1] => [12,5,4,1,2,11,8,3,10,6,7,9] => [4,1,5,2,8,3,10,6,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,8,10,11,7,12,9,6,5] => [2,1,4,3,12,11,8,5,10,6,7,9] => [2,1,4,3,8,5,10,6,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [4,5,6,3,2,1,8,7,10,9,12,11] => [6,5,4,1,2,3,8,7,10,9,12,11] => [4,1,5,2,6,3,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [3,4,2,1,8,10,11,7,12,9,6,5] => [4,3,1,2,12,11,8,5,10,6,7,9] => [3,1,4,2,8,5,10,6,11,7,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [4,5,6,3,2,1,8,7,11,12,10,9] => [6,5,4,1,2,3,8,7,12,11,9,10] => [4,1,5,2,6,3,8,7,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [6,7,9,10,11,5,4,12,8,3,2,1] => [12,11,10,7,6,1,2,9,3,4,5,8] => [6,1,7,2,9,3,10,4,11,5,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,6,7,9,5,4,10,8,3,12,11] => [2,1,10,7,6,3,4,9,5,8,12,11] => [2,1,6,3,7,4,9,5,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [3,6,2,7,9,5,4,11,8,12,10,1] => [12,3,1,7,6,2,4,9,5,11,8,10] => [3,1,6,2,7,4,9,5,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,6,7,9,5,4,11,8,12,10,3] => [2,1,12,7,6,3,4,9,5,11,8,10] => [2,1,6,3,7,4,9,5,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [3,6,2,7,9,5,4,10,8,1,12,11] => [10,3,1,7,6,2,4,9,5,8,12,11] => [3,1,6,2,7,4,9,5,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [4,6,9,3,10,5,11,12,8,7,2,1] => [12,11,4,1,6,2,10,9,3,5,7,8] => [4,1,6,2,9,3,10,5,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,9,10,8,7,12,11] => [2,1,4,3,6,5,10,9,7,8,12,11] => [2,1,4,3,6,5,9,7,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [3,6,2,9,10,5,11,12,8,7,4,1] => [12,3,1,11,6,2,10,9,4,5,7,8] => [3,1,6,2,9,4,10,5,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,6,9,10,5,11,12,8,7,4,3] => [2,1,12,11,6,3,10,9,4,5,7,8] => [2,1,6,3,9,4,10,5,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [3,4,2,1,6,5,9,10,8,7,12,11] => [4,3,1,2,6,5,10,9,7,8,12,11] => [3,1,4,2,6,5,9,7,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [4,6,7,3,9,5,2,11,8,12,10,1] => [12,7,4,1,6,2,3,9,5,11,8,10] => [4,1,6,2,7,3,9,5,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,9,11,8,12,10,7] => [2,1,4,3,6,5,12,9,7,11,8,10] => [2,1,4,3,6,5,9,7,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [4,6,7,3,9,5,2,10,8,1,12,11] => [10,7,4,1,6,2,3,9,5,8,12,11] => [4,1,6,2,7,3,9,5,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [3,4,2,1,6,5,9,11,8,12,10,7] => [4,3,1,2,6,5,12,9,7,11,8,10] => [3,1,4,2,6,5,9,7,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [6,7,8,10,11,5,4,3,12,9,2,1] => [12,11,8,7,6,1,2,3,10,4,5,9] => [6,1,7,2,8,3,10,4,11,5,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,6,7,8,5,4,3,10,9,12,11] => [2,1,8,7,6,3,4,5,10,9,12,11] => [2,1,6,3,7,4,8,5,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [3,6,2,7,10,5,4,11,12,9,8,1] => [12,3,1,7,6,2,4,11,10,5,8,9] => [3,1,6,2,7,4,10,5,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,6,7,10,5,4,11,12,9,8,3] => [2,1,12,7,6,3,4,11,10,5,8,9] => [2,1,6,3,7,4,10,5,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [3,6,2,7,8,5,4,1,10,9,12,11] => [8,3,1,7,6,2,4,5,10,9,12,11] => [3,1,6,2,7,4,8,5,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [6,7,8,9,11,5,4,3,2,12,10,1] => [12,9,8,7,6,1,2,3,4,11,5,10] => [6,1,7,2,8,3,9,4,11,5,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,6,7,8,5,4,3,11,12,10,9] => [2,1,8,7,6,3,4,5,12,11,9,10] => [2,1,6,3,7,4,8,5,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [6,7,8,9,10,5,4,3,2,1,12,11] => [10,9,8,7,6,1,2,3,4,5,12,11] => [6,1,7,2,8,3,9,4,10,5,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [3,6,2,7,8,5,4,1,11,12,10,9] => [8,3,1,7,6,2,4,5,12,11,9,10] => [3,1,6,2,7,4,8,5,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [4,6,7,3,10,5,2,11,12,9,8,1] => [12,7,4,1,6,2,3,11,10,5,8,9] => [4,1,6,2,7,3,10,5,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,10,11,12,9,8,7] => [2,1,4,3,6,5,12,11,10,7,8,9] => [2,1,4,3,6,5,10,7,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [4,6,7,3,8,5,2,1,10,9,12,11] => [8,7,4,1,6,2,3,5,10,9,12,11] => [4,1,6,2,7,3,8,5,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [3,4,2,1,6,5,10,11,12,9,8,7] => [4,3,1,2,6,5,12,11,10,7,8,9] => [3,1,4,2,6,5,10,7,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [4,6,7,3,8,5,2,1,11,12,10,9] => [8,7,4,1,6,2,3,5,12,11,9,10] => [4,1,6,2,7,3,8,5,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [5,6,9,10,4,3,11,12,8,7,2,1] => [12,11,6,5,1,2,10,9,3,4,7,8] => [5,1,6,2,9,3,10,4,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,5,6,4,3,9,10,8,7,12,11] => [2,1,6,5,3,4,10,9,7,8,12,11] => [2,1,5,3,6,4,9,7,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [3,5,2,9,4,10,11,12,8,7,6,1] => [12,3,1,5,2,11,10,9,4,6,7,8] => [3,1,5,2,9,4,10,6,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,5,9,4,10,11,12,8,7,6,3] => [2,1,12,5,3,11,10,9,4,6,7,8] => [2,1,5,3,9,4,10,6,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [3,5,2,6,4,1,9,10,8,7,12,11] => [6,3,1,5,2,4,10,9,7,8,12,11] => [3,1,5,2,6,4,9,7,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [5,6,7,9,4,3,2,11,8,12,10,1] => [12,7,6,5,1,2,3,9,4,11,8,10] => [5,1,6,2,7,3,9,4,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,5,6,4,3,9,11,8,12,10,7] => [2,1,6,5,3,4,12,9,7,11,8,10] => [2,1,5,3,6,4,9,7,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [5,6,7,9,4,3,2,10,8,1,12,11] => [10,7,6,5,1,2,3,9,4,8,12,11] => [5,1,6,2,7,3,9,4,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [3,5,2,6,4,1,9,11,8,12,10,7] => [6,3,1,5,2,4,12,9,7,11,8,10] => [3,1,5,2,6,4,9,7,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [4,5,9,3,2,10,11,12,8,7,6,1] => [12,5,4,1,2,11,10,9,3,6,7,8] => [4,1,5,2,9,3,10,6,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,9,10,11,12,8,7,6,5] => [2,1,4,3,12,11,10,9,5,6,7,8] => [2,1,4,3,9,5,10,6,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [4,5,6,3,2,1,9,10,8,7,12,11] => [6,5,4,1,2,3,10,9,7,8,12,11] => [4,1,5,2,6,3,9,7,10,8,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [3,4,2,1,9,10,11,12,8,7,6,5] => [4,3,1,2,12,11,10,9,5,6,7,8] => [3,1,4,2,9,5,10,6,11,7,12,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [4,5,6,3,2,1,9,11,8,12,10,7] => [6,5,4,1,2,3,12,9,7,11,8,10] => [4,1,5,2,6,3,9,7,11,8,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [5,6,7,10,4,3,2,11,12,9,8,1] => [12,7,6,5,1,2,3,11,10,4,8,9] => [5,1,6,2,7,3,10,4,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,5,6,4,3,10,11,12,9,8,7] => [2,1,6,5,3,4,12,11,10,7,8,9] => [2,1,5,3,6,4,10,7,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [5,6,7,8,4,3,2,1,10,9,12,11] => [8,7,6,5,1,2,3,4,10,9,12,11] => [5,1,6,2,7,3,8,4,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [3,5,2,6,4,1,10,11,12,9,8,7] => [6,3,1,5,2,4,12,11,10,7,8,9] => [3,1,5,2,6,4,10,7,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [5,6,7,8,4,3,2,1,11,12,10,9] => [8,7,6,5,1,2,3,4,12,11,9,10] => [5,1,6,2,7,3,8,4,11,9,12,10] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [4,5,6,3,2,1,10,11,12,9,8,7] => [6,5,4,1,2,3,12,11,10,7,8,9] => [4,1,5,2,6,3,10,7,11,8,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
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
inverse
Description
Sends a permutation to its inverse.
Map
Clarke-Steingrimsson-Zeng inverse
Description
The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map $\Phi$ in [1, sec.3].
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.