Identifier
Mp00283: Perfect matchings non-nesting-exceedence permutationPermutations
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.
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.