Identifier
Mp00283:
Perfect matchings
—non-nesting-exceedence permutation⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0012;cc-rep-0Cc0010;cc-rep-2
[(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]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[(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]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[(1,4),(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]=>[[[[[.,.],.],.],.],[[.,.],[.,[.,[.,.]]]]]
[(1,2),(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]=>[[.,.],[[[[[.,.],.],.],.],[.,[.,[.,.]]]]]
[(1,10),(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]=>[[[[.,.],.],.],[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]]
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.
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.
searching the database
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