Identifier
Mp00144: Perfect matchings —rotation⟶ Perfect matchings
Mp00058: Perfect matchings —to permutation⟶ Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Images
=>
Cc0012;cc-rep-0Cc0012;cc-rep-1
[(1,2)]=>[(1,2)]=>[2,1]=>[1,2] [(1,2),(3,4)]=>[(1,4),(2,3)]=>[4,3,2,1]=>[3,2,1,4] [(1,3),(2,4)]=>[(1,3),(2,4)]=>[3,4,1,2]=>[4,1,2,3] [(1,4),(2,3)]=>[(1,2),(3,4)]=>[2,1,4,3]=>[1,4,3,2] [(1,2),(3,4),(5,6)]=>[(1,6),(2,3),(4,5)]=>[6,3,2,5,4,1]=>[3,2,5,4,1,6] [(1,3),(2,4),(5,6)]=>[(1,6),(2,4),(3,5)]=>[6,4,5,2,3,1]=>[4,5,2,3,1,6] [(1,4),(2,3),(5,6)]=>[(1,6),(2,5),(3,4)]=>[6,5,4,3,2,1]=>[5,4,3,2,1,6] [(1,5),(2,3),(4,6)]=>[(1,5),(2,6),(3,4)]=>[5,6,4,3,1,2]=>[6,4,3,1,2,5] [(1,6),(2,3),(4,5)]=>[(1,2),(3,4),(5,6)]=>[2,1,4,3,6,5]=>[1,4,3,6,5,2] [(1,6),(2,4),(3,5)]=>[(1,2),(3,5),(4,6)]=>[2,1,5,6,3,4]=>[1,5,6,3,4,2] [(1,5),(2,4),(3,6)]=>[(1,4),(2,6),(3,5)]=>[4,6,5,1,3,2]=>[6,5,1,3,2,4] [(1,4),(2,5),(3,6)]=>[(1,4),(2,5),(3,6)]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4] [(1,3),(2,5),(4,6)]=>[(1,5),(2,4),(3,6)]=>[5,4,6,2,1,3]=>[4,6,2,1,3,5] [(1,2),(3,5),(4,6)]=>[(1,5),(2,3),(4,6)]=>[5,3,2,6,1,4]=>[3,2,6,1,4,5] [(1,2),(3,6),(4,5)]=>[(1,4),(2,3),(5,6)]=>[4,3,2,1,6,5]=>[3,2,1,6,5,4] [(1,3),(2,6),(4,5)]=>[(1,3),(2,4),(5,6)]=>[3,4,1,2,6,5]=>[4,1,2,6,5,3] [(1,4),(2,6),(3,5)]=>[(1,3),(2,5),(4,6)]=>[3,5,1,6,2,4]=>[5,1,6,2,4,3] [(1,5),(2,6),(3,4)]=>[(1,3),(2,6),(4,5)]=>[3,6,1,5,4,2]=>[6,1,5,4,2,3] [(1,6),(2,5),(3,4)]=>[(1,2),(3,6),(4,5)]=>[2,1,6,5,4,3]=>[1,6,5,4,3,2] [(1,2),(3,4),(5,6),(7,8)]=>[(1,8),(2,3),(4,5),(6,7)]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1,8] [(1,3),(2,4),(5,6),(7,8)]=>[(1,8),(2,4),(3,5),(6,7)]=>[8,4,5,2,3,7,6,1]=>[4,5,2,3,7,6,1,8] [(1,4),(2,3),(5,6),(7,8)]=>[(1,8),(2,5),(3,4),(6,7)]=>[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1,8] [(1,5),(2,3),(4,6),(7,8)]=>[(1,8),(2,6),(3,4),(5,7)]=>[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1,8] [(1,6),(2,3),(4,5),(7,8)]=>[(1,8),(2,7),(3,4),(5,6)]=>[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1,8] [(1,7),(2,3),(4,5),(6,8)]=>[(1,7),(2,8),(3,4),(5,6)]=>[7,8,4,3,6,5,1,2]=>[8,4,3,6,5,1,2,7] [(1,8),(2,3),(4,5),(6,7)]=>[(1,2),(3,4),(5,6),(7,8)]=>[2,1,4,3,6,5,8,7]=>[1,4,3,6,5,8,7,2] [(1,8),(2,4),(3,5),(6,7)]=>[(1,2),(3,5),(4,6),(7,8)]=>[2,1,5,6,3,4,8,7]=>[1,5,6,3,4,8,7,2] [(1,7),(2,4),(3,5),(6,8)]=>[(1,7),(2,8),(3,5),(4,6)]=>[7,8,5,6,3,4,1,2]=>[8,5,6,3,4,1,2,7] [(1,6),(2,4),(3,5),(7,8)]=>[(1,8),(2,7),(3,5),(4,6)]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1,8] [(1,5),(2,4),(3,6),(7,8)]=>[(1,8),(2,6),(3,5),(4,7)]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1,8] [(1,4),(2,5),(3,6),(7,8)]=>[(1,8),(2,5),(3,6),(4,7)]=>[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1,8] [(1,3),(2,5),(4,6),(7,8)]=>[(1,8),(2,4),(3,6),(5,7)]=>[8,4,6,2,7,3,5,1]=>[4,6,2,7,3,5,1,8] [(1,2),(3,5),(4,6),(7,8)]=>[(1,8),(2,3),(4,6),(5,7)]=>[8,3,2,6,7,4,5,1]=>[3,2,6,7,4,5,1,8] [(1,2),(3,6),(4,5),(7,8)]=>[(1,8),(2,3),(4,7),(5,6)]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1,8] [(1,3),(2,6),(4,5),(7,8)]=>[(1,8),(2,4),(3,7),(5,6)]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1,8] [(1,4),(2,6),(3,5),(7,8)]=>[(1,8),(2,5),(3,7),(4,6)]=>[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1,8] [(1,5),(2,6),(3,4),(7,8)]=>[(1,8),(2,6),(3,7),(4,5)]=>[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1,8] [(1,6),(2,5),(3,4),(7,8)]=>[(1,8),(2,7),(3,6),(4,5)]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8] [(1,7),(2,5),(3,4),(6,8)]=>[(1,7),(2,8),(3,6),(4,5)]=>[7,8,6,5,4,3,1,2]=>[8,6,5,4,3,1,2,7] [(1,8),(2,5),(3,4),(6,7)]=>[(1,2),(3,6),(4,5),(7,8)]=>[2,1,6,5,4,3,8,7]=>[1,6,5,4,3,8,7,2] [(1,8),(2,6),(3,4),(5,7)]=>[(1,2),(3,7),(4,5),(6,8)]=>[2,1,7,5,4,8,3,6]=>[1,7,5,4,8,3,6,2] [(1,7),(2,6),(3,4),(5,8)]=>[(1,6),(2,8),(3,7),(4,5)]=>[6,8,7,5,4,1,3,2]=>[8,7,5,4,1,3,2,6] [(1,6),(2,7),(3,4),(5,8)]=>[(1,6),(2,7),(3,8),(4,5)]=>[6,7,8,5,4,1,2,3]=>[7,8,5,4,1,2,3,6] [(1,5),(2,7),(3,4),(6,8)]=>[(1,7),(2,6),(3,8),(4,5)]=>[7,6,8,5,4,2,1,3]=>[6,8,5,4,2,1,3,7] [(1,4),(2,7),(3,5),(6,8)]=>[(1,7),(2,5),(3,8),(4,6)]=>[7,5,8,6,2,4,1,3]=>[5,8,6,2,4,1,3,7] [(1,3),(2,7),(4,5),(6,8)]=>[(1,7),(2,4),(3,8),(5,6)]=>[7,4,8,2,6,5,1,3]=>[4,8,2,6,5,1,3,7] [(1,2),(3,7),(4,5),(6,8)]=>[(1,7),(2,3),(4,8),(5,6)]=>[7,3,2,8,6,5,1,4]=>[3,2,8,6,5,1,4,7] [(1,2),(3,8),(4,5),(6,7)]=>[(1,4),(2,3),(5,6),(7,8)]=>[4,3,2,1,6,5,8,7]=>[3,2,1,6,5,8,7,4] [(1,3),(2,8),(4,5),(6,7)]=>[(1,3),(2,4),(5,6),(7,8)]=>[3,4,1,2,6,5,8,7]=>[4,1,2,6,5,8,7,3] [(1,4),(2,8),(3,5),(6,7)]=>[(1,3),(2,5),(4,6),(7,8)]=>[3,5,1,6,2,4,8,7]=>[5,1,6,2,4,8,7,3] [(1,5),(2,8),(3,4),(6,7)]=>[(1,3),(2,6),(4,5),(7,8)]=>[3,6,1,5,4,2,8,7]=>[6,1,5,4,2,8,7,3] [(1,6),(2,8),(3,4),(5,7)]=>[(1,3),(2,7),(4,5),(6,8)]=>[3,7,1,5,4,8,2,6]=>[7,1,5,4,8,2,6,3] [(1,7),(2,8),(3,4),(5,6)]=>[(1,3),(2,8),(4,5),(6,7)]=>[3,8,1,5,4,7,6,2]=>[8,1,5,4,7,6,2,3] [(1,8),(2,7),(3,4),(5,6)]=>[(1,2),(3,8),(4,5),(6,7)]=>[2,1,8,5,4,7,6,3]=>[1,8,5,4,7,6,3,2] [(1,8),(2,7),(3,5),(4,6)]=>[(1,2),(3,8),(4,6),(5,7)]=>[2,1,8,6,7,4,5,3]=>[1,8,6,7,4,5,3,2] [(1,7),(2,8),(3,5),(4,6)]=>[(1,3),(2,8),(4,6),(5,7)]=>[3,8,1,6,7,4,5,2]=>[8,1,6,7,4,5,2,3] [(1,6),(2,8),(3,5),(4,7)]=>[(1,3),(2,7),(4,6),(5,8)]=>[3,7,1,6,8,4,2,5]=>[7,1,6,8,4,2,5,3] [(1,5),(2,8),(3,6),(4,7)]=>[(1,3),(2,6),(4,7),(5,8)]=>[3,6,1,7,8,2,4,5]=>[6,1,7,8,2,4,5,3] [(1,4),(2,8),(3,6),(5,7)]=>[(1,3),(2,5),(4,7),(6,8)]=>[3,5,1,7,2,8,4,6]=>[5,1,7,2,8,4,6,3] [(1,3),(2,8),(4,6),(5,7)]=>[(1,3),(2,4),(5,7),(6,8)]=>[3,4,1,2,7,8,5,6]=>[4,1,2,7,8,5,6,3] [(1,2),(3,8),(4,6),(5,7)]=>[(1,4),(2,3),(5,7),(6,8)]=>[4,3,2,1,7,8,5,6]=>[3,2,1,7,8,5,6,4] [(1,2),(3,7),(4,6),(5,8)]=>[(1,6),(2,3),(4,8),(5,7)]=>[6,3,2,8,7,1,5,4]=>[3,2,8,7,1,5,4,6] [(1,3),(2,7),(4,6),(5,8)]=>[(1,6),(2,4),(3,8),(5,7)]=>[6,4,8,2,7,1,5,3]=>[4,8,2,7,1,5,3,6] [(1,4),(2,7),(3,6),(5,8)]=>[(1,6),(2,5),(3,8),(4,7)]=>[6,5,8,7,2,1,4,3]=>[5,8,7,2,1,4,3,6] [(1,5),(2,7),(3,6),(4,8)]=>[(1,5),(2,6),(3,8),(4,7)]=>[5,6,8,7,1,2,4,3]=>[6,8,7,1,2,4,3,5] [(1,6),(2,7),(3,5),(4,8)]=>[(1,5),(2,7),(3,8),(4,6)]=>[5,7,8,6,1,4,2,3]=>[7,8,6,1,4,2,3,5] [(1,7),(2,6),(3,5),(4,8)]=>[(1,5),(2,8),(3,7),(4,6)]=>[5,8,7,6,1,4,3,2]=>[8,7,6,1,4,3,2,5] [(1,8),(2,6),(3,5),(4,7)]=>[(1,2),(3,7),(4,6),(5,8)]=>[2,1,7,6,8,4,3,5]=>[1,7,6,8,4,3,5,2] [(1,8),(2,5),(3,6),(4,7)]=>[(1,2),(3,6),(4,7),(5,8)]=>[2,1,6,7,8,3,4,5]=>[1,6,7,8,3,4,5,2] [(1,7),(2,5),(3,6),(4,8)]=>[(1,5),(2,8),(3,6),(4,7)]=>[5,8,6,7,1,3,4,2]=>[8,6,7,1,3,4,2,5] [(1,6),(2,5),(3,7),(4,8)]=>[(1,5),(2,7),(3,6),(4,8)]=>[5,7,6,8,1,3,2,4]=>[7,6,8,1,3,2,4,5] [(1,5),(2,6),(3,7),(4,8)]=>[(1,5),(2,6),(3,7),(4,8)]=>[5,6,7,8,1,2,3,4]=>[6,7,8,1,2,3,4,5] [(1,4),(2,6),(3,7),(5,8)]=>[(1,6),(2,5),(3,7),(4,8)]=>[6,5,7,8,2,1,3,4]=>[5,7,8,2,1,3,4,6] [(1,3),(2,6),(4,7),(5,8)]=>[(1,6),(2,4),(3,7),(5,8)]=>[6,4,7,2,8,1,3,5]=>[4,7,2,8,1,3,5,6] [(1,2),(3,6),(4,7),(5,8)]=>[(1,6),(2,3),(4,7),(5,8)]=>[6,3,2,7,8,1,4,5]=>[3,2,7,8,1,4,5,6] [(1,2),(3,5),(4,7),(6,8)]=>[(1,7),(2,3),(4,6),(5,8)]=>[7,3,2,6,8,4,1,5]=>[3,2,6,8,4,1,5,7] [(1,3),(2,5),(4,7),(6,8)]=>[(1,7),(2,4),(3,6),(5,8)]=>[7,4,6,2,8,3,1,5]=>[4,6,2,8,3,1,5,7] [(1,4),(2,5),(3,7),(6,8)]=>[(1,7),(2,5),(3,6),(4,8)]=>[7,5,6,8,2,3,1,4]=>[5,6,8,2,3,1,4,7] [(1,5),(2,4),(3,7),(6,8)]=>[(1,7),(2,6),(3,5),(4,8)]=>[7,6,5,8,3,2,1,4]=>[6,5,8,3,2,1,4,7] [(1,6),(2,4),(3,7),(5,8)]=>[(1,6),(2,7),(3,5),(4,8)]=>[6,7,5,8,3,1,2,4]=>[7,5,8,3,1,2,4,6] [(1,7),(2,4),(3,6),(5,8)]=>[(1,6),(2,8),(3,5),(4,7)]=>[6,8,5,7,3,1,4,2]=>[8,5,7,3,1,4,2,6] [(1,8),(2,4),(3,6),(5,7)]=>[(1,2),(3,5),(4,7),(6,8)]=>[2,1,5,7,3,8,4,6]=>[1,5,7,3,8,4,6,2] [(1,8),(2,3),(4,6),(5,7)]=>[(1,2),(3,4),(5,7),(6,8)]=>[2,1,4,3,7,8,5,6]=>[1,4,3,7,8,5,6,2] [(1,7),(2,3),(4,6),(5,8)]=>[(1,6),(2,8),(3,4),(5,7)]=>[6,8,4,3,7,1,5,2]=>[8,4,3,7,1,5,2,6] [(1,6),(2,3),(4,7),(5,8)]=>[(1,6),(2,7),(3,4),(5,8)]=>[6,7,4,3,8,1,2,5]=>[7,4,3,8,1,2,5,6] [(1,5),(2,3),(4,7),(6,8)]=>[(1,7),(2,6),(3,4),(5,8)]=>[7,6,4,3,8,2,1,5]=>[6,4,3,8,2,1,5,7] [(1,4),(2,3),(5,7),(6,8)]=>[(1,7),(2,5),(3,4),(6,8)]=>[7,5,4,3,2,8,1,6]=>[5,4,3,2,8,1,6,7] [(1,3),(2,4),(5,7),(6,8)]=>[(1,7),(2,4),(3,5),(6,8)]=>[7,4,5,2,3,8,1,6]=>[4,5,2,3,8,1,6,7] [(1,2),(3,4),(5,7),(6,8)]=>[(1,7),(2,3),(4,5),(6,8)]=>[7,3,2,5,4,8,1,6]=>[3,2,5,4,8,1,6,7] [(1,2),(3,4),(5,8),(6,7)]=>[(1,6),(2,3),(4,5),(7,8)]=>[6,3,2,5,4,1,8,7]=>[3,2,5,4,1,8,7,6] [(1,3),(2,4),(5,8),(6,7)]=>[(1,6),(2,4),(3,5),(7,8)]=>[6,4,5,2,3,1,8,7]=>[4,5,2,3,1,8,7,6] [(1,4),(2,3),(5,8),(6,7)]=>[(1,6),(2,5),(3,4),(7,8)]=>[6,5,4,3,2,1,8,7]=>[5,4,3,2,1,8,7,6] [(1,5),(2,3),(4,8),(6,7)]=>[(1,5),(2,6),(3,4),(7,8)]=>[5,6,4,3,1,2,8,7]=>[6,4,3,1,2,8,7,5] [(1,6),(2,3),(4,8),(5,7)]=>[(1,5),(2,7),(3,4),(6,8)]=>[5,7,4,3,1,8,2,6]=>[7,4,3,1,8,2,6,5] [(1,7),(2,3),(4,8),(5,6)]=>[(1,5),(2,8),(3,4),(6,7)]=>[5,8,4,3,1,7,6,2]=>[8,4,3,1,7,6,2,5] [(1,8),(2,3),(4,7),(5,6)]=>[(1,2),(3,4),(5,8),(6,7)]=>[2,1,4,3,8,7,6,5]=>[1,4,3,8,7,6,5,2] [(1,8),(2,4),(3,7),(5,6)]=>[(1,2),(3,5),(4,8),(6,7)]=>[2,1,5,8,3,7,6,4]=>[1,5,8,3,7,6,4,2] [(1,7),(2,4),(3,8),(5,6)]=>[(1,4),(2,8),(3,5),(6,7)]=>[4,8,5,1,3,7,6,2]=>[8,5,1,3,7,6,2,4] [(1,6),(2,4),(3,8),(5,7)]=>[(1,4),(2,7),(3,5),(6,8)]=>[4,7,5,1,3,8,2,6]=>[7,5,1,3,8,2,6,4] [(1,5),(2,4),(3,8),(6,7)]=>[(1,4),(2,6),(3,5),(7,8)]=>[4,6,5,1,3,2,8,7]=>[6,5,1,3,2,8,7,4] [(1,4),(2,5),(3,8),(6,7)]=>[(1,4),(2,5),(3,6),(7,8)]=>[4,5,6,1,2,3,8,7]=>[5,6,1,2,3,8,7,4] [(1,3),(2,5),(4,8),(6,7)]=>[(1,5),(2,4),(3,6),(7,8)]=>[5,4,6,2,1,3,8,7]=>[4,6,2,1,3,8,7,5] [(1,2),(3,5),(4,8),(6,7)]=>[(1,5),(2,3),(4,6),(7,8)]=>[5,3,2,6,1,4,8,7]=>[3,2,6,1,4,8,7,5] [(1,2),(3,6),(4,8),(5,7)]=>[(1,5),(2,3),(4,7),(6,8)]=>[5,3,2,7,1,8,4,6]=>[3,2,7,1,8,4,6,5] [(1,3),(2,6),(4,8),(5,7)]=>[(1,5),(2,4),(3,7),(6,8)]=>[5,4,7,2,1,8,3,6]=>[4,7,2,1,8,3,6,5] [(1,4),(2,6),(3,8),(5,7)]=>[(1,4),(2,5),(3,7),(6,8)]=>[4,5,7,1,2,8,3,6]=>[5,7,1,2,8,3,6,4] [(1,5),(2,6),(3,8),(4,7)]=>[(1,4),(2,6),(3,7),(5,8)]=>[4,6,7,1,8,2,3,5]=>[6,7,1,8,2,3,5,4] [(1,6),(2,5),(3,8),(4,7)]=>[(1,4),(2,7),(3,6),(5,8)]=>[4,7,6,1,8,3,2,5]=>[7,6,1,8,3,2,5,4] [(1,7),(2,5),(3,8),(4,6)]=>[(1,4),(2,8),(3,6),(5,7)]=>[4,8,6,1,7,3,5,2]=>[8,6,1,7,3,5,2,4] [(1,8),(2,5),(3,7),(4,6)]=>[(1,2),(3,6),(4,8),(5,7)]=>[2,1,6,8,7,3,5,4]=>[1,6,8,7,3,5,4,2] [(1,8),(2,6),(3,7),(4,5)]=>[(1,2),(3,7),(4,8),(5,6)]=>[2,1,7,8,6,5,3,4]=>[1,7,8,6,5,3,4,2] [(1,7),(2,6),(3,8),(4,5)]=>[(1,4),(2,8),(3,7),(5,6)]=>[4,8,7,1,6,5,3,2]=>[8,7,1,6,5,3,2,4] [(1,6),(2,7),(3,8),(4,5)]=>[(1,4),(2,7),(3,8),(5,6)]=>[4,7,8,1,6,5,2,3]=>[7,8,1,6,5,2,3,4] [(1,5),(2,7),(3,8),(4,6)]=>[(1,4),(2,6),(3,8),(5,7)]=>[4,6,8,1,7,2,5,3]=>[6,8,1,7,2,5,3,4] [(1,4),(2,7),(3,8),(5,6)]=>[(1,4),(2,5),(3,8),(6,7)]=>[4,5,8,1,2,7,6,3]=>[5,8,1,2,7,6,3,4] [(1,3),(2,7),(4,8),(5,6)]=>[(1,5),(2,4),(3,8),(6,7)]=>[5,4,8,2,1,7,6,3]=>[4,8,2,1,7,6,3,5] [(1,2),(3,7),(4,8),(5,6)]=>[(1,5),(2,3),(4,8),(6,7)]=>[5,3,2,8,1,7,6,4]=>[3,2,8,1,7,6,4,5] [(1,2),(3,8),(4,7),(5,6)]=>[(1,4),(2,3),(5,8),(6,7)]=>[4,3,2,1,8,7,6,5]=>[3,2,1,8,7,6,5,4] [(1,3),(2,8),(4,7),(5,6)]=>[(1,3),(2,4),(5,8),(6,7)]=>[3,4,1,2,8,7,6,5]=>[4,1,2,8,7,6,5,3] [(1,4),(2,8),(3,7),(5,6)]=>[(1,3),(2,5),(4,8),(6,7)]=>[3,5,1,8,2,7,6,4]=>[5,1,8,2,7,6,4,3] [(1,5),(2,8),(3,7),(4,6)]=>[(1,3),(2,6),(4,8),(5,7)]=>[3,6,1,8,7,2,5,4]=>[6,1,8,7,2,5,4,3] [(1,6),(2,8),(3,7),(4,5)]=>[(1,3),(2,7),(4,8),(5,6)]=>[3,7,1,8,6,5,2,4]=>[7,1,8,6,5,2,4,3] [(1,7),(2,8),(3,6),(4,5)]=>[(1,3),(2,8),(4,7),(5,6)]=>[3,8,1,7,6,5,4,2]=>[8,1,7,6,5,4,2,3] [(1,8),(2,7),(3,6),(4,5)]=>[(1,2),(3,8),(4,7),(5,6)]=>[2,1,8,7,6,5,4,3]=>[1,8,7,6,5,4,3,2] [(1,2),(3,4),(5,6),(7,8),(9,10)]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[10,3,2,5,4,7,6,9,8,1]=>[3,2,5,4,7,6,9,8,1,10] [(1,4),(2,3),(5,6),(7,8),(9,10)]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[10,5,4,3,2,7,6,9,8,1]=>[5,4,3,2,7,6,9,8,1,10] [(1,6),(2,3),(4,5),(7,8),(9,10)]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[10,7,4,3,6,5,2,9,8,1]=>[7,4,3,6,5,2,9,8,1,10] [(1,8),(2,3),(4,5),(6,7),(9,10)]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[10,9,4,3,6,5,8,7,2,1]=>[9,4,3,6,5,8,7,2,1,10] [(1,10),(2,3),(4,5),(6,7),(8,9)]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[2,1,4,3,6,5,8,7,10,9]=>[1,4,3,6,5,8,7,10,9,2] [(1,2),(3,6),(4,5),(7,8),(9,10)]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[10,3,2,7,6,5,4,9,8,1]=>[3,2,7,6,5,4,9,8,1,10] [(1,6),(2,5),(3,4),(7,8),(9,10)]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[10,7,6,5,4,3,2,9,8,1]=>[7,6,5,4,3,2,9,8,1,10] [(1,8),(2,5),(3,4),(6,7),(9,10)]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[10,9,6,5,4,3,8,7,2,1]=>[9,6,5,4,3,8,7,2,1,10] [(1,10),(2,5),(3,4),(6,7),(8,9)]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[2,1,6,5,4,3,8,7,10,9]=>[1,6,5,4,3,8,7,10,9,2] [(1,2),(3,8),(4,5),(6,7),(9,10)]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[10,3,2,9,6,5,8,7,4,1]=>[3,2,9,6,5,8,7,4,1,10] [(1,8),(2,7),(3,4),(5,6),(9,10)]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[10,9,8,5,4,7,6,3,2,1]=>[9,8,5,4,7,6,3,2,1,10] [(1,10),(2,7),(3,4),(5,6),(8,9)]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[2,1,8,5,4,7,6,3,10,9]=>[1,8,5,4,7,6,3,10,9,2] [(1,2),(3,10),(4,5),(6,7),(8,9)]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[4,3,2,1,6,5,8,7,10,9]=>[3,2,1,6,5,8,7,10,9,4] [(1,10),(2,9),(3,4),(5,6),(7,8)]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[2,1,10,5,4,7,6,9,8,3]=>[1,10,5,4,7,6,9,8,3,2] [(1,10),(2,7),(3,5),(4,6),(8,9)]=>[(1,2),(3,8),(4,6),(5,7),(9,10)]=>[2,1,8,6,7,4,5,3,10,9]=>[1,8,6,7,4,5,3,10,9,2] [(1,7),(2,8),(3,5),(4,6),(9,10)]=>[(1,10),(2,8),(3,9),(4,6),(5,7)]=>[10,8,9,6,7,4,5,2,3,1]=>[8,9,6,7,4,5,2,3,1,10] [(1,2),(3,4),(5,8),(6,7),(9,10)]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[10,3,2,5,4,9,8,7,6,1]=>[3,2,5,4,9,8,7,6,1,10] [(1,4),(2,3),(5,8),(6,7),(9,10)]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[10,5,4,3,2,9,8,7,6,1]=>[5,4,3,2,9,8,7,6,1,10] [(1,8),(2,3),(4,7),(5,6),(9,10)]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[10,9,4,3,8,7,6,5,2,1]=>[9,4,3,8,7,6,5,2,1,10] [(1,10),(2,3),(4,7),(5,6),(8,9)]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[2,1,4,3,8,7,6,5,10,9]=>[1,4,3,8,7,6,5,10,9,2] [(1,2),(3,8),(4,7),(5,6),(9,10)]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,9,8,7,6,5,4,1,10] [(1,8),(2,7),(3,6),(4,5),(9,10)]=>[(1,10),(2,9),(3,8),(4,7),(5,6)]=>[10,9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1,10] [(1,10),(2,7),(3,6),(4,5),(8,9)]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[2,1,8,7,6,5,4,3,10,9]=>[1,8,7,6,5,4,3,10,9,2] [(1,2),(3,10),(4,7),(5,6),(8,9)]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[4,3,2,1,8,7,6,5,10,9]=>[3,2,1,8,7,6,5,10,9,4] [(1,10),(2,9),(3,6),(4,5),(7,8)]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[2,1,10,7,6,5,4,9,8,3]=>[1,10,7,6,5,4,9,8,3,2] [(1,2),(3,4),(5,10),(6,7),(8,9)]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[6,3,2,5,4,1,8,7,10,9]=>[3,2,5,4,1,8,7,10,9,6] [(1,3),(2,4),(5,10),(6,7),(8,9)]=>[(1,6),(2,4),(3,5),(7,8),(9,10)]=>[6,4,5,2,3,1,8,7,10,9]=>[4,5,2,3,1,8,7,10,9,6] [(1,4),(2,3),(5,10),(6,7),(8,9)]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[6,5,4,3,2,1,8,7,10,9]=>[5,4,3,2,1,8,7,10,9,6] [(1,10),(2,3),(4,9),(5,6),(7,8)]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[2,1,4,3,10,7,6,9,8,5]=>[1,4,3,10,7,6,9,8,5,2] [(1,2),(3,10),(4,9),(5,6),(7,8)]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[4,3,2,1,10,7,6,9,8,5]=>[3,2,1,10,7,6,9,8,5,4] [(1,10),(2,9),(3,8),(4,5),(6,7)]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[2,1,10,9,6,5,8,7,4,3]=>[1,10,9,6,5,8,7,4,3,2] [(1,10),(2,3),(4,9),(5,7),(6,8)]=>[(1,2),(3,4),(5,10),(6,8),(7,9)]=>[2,1,4,3,10,8,9,6,7,5]=>[1,4,3,10,8,9,6,7,5,2] [(1,2),(3,4),(5,6),(7,10),(8,9)]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[8,3,2,5,4,7,6,1,10,9]=>[3,2,5,4,7,6,1,10,9,8] [(1,4),(2,3),(5,6),(7,10),(8,9)]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[8,5,4,3,2,7,6,1,10,9]=>[5,4,3,2,7,6,1,10,9,8] [(1,6),(2,3),(4,5),(7,10),(8,9)]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[8,7,4,3,6,5,2,1,10,9]=>[7,4,3,6,5,2,1,10,9,8] [(1,10),(2,3),(4,5),(6,9),(7,8)]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[2,1,4,3,6,5,10,9,8,7]=>[1,4,3,6,5,10,9,8,7,2] [(1,2),(3,6),(4,5),(7,10),(8,9)]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[8,3,2,7,6,5,4,1,10,9]=>[3,2,7,6,5,4,1,10,9,8] [(1,6),(2,5),(3,4),(7,10),(8,9)]=>[(1,8),(2,7),(3,6),(4,5),(9,10)]=>[8,7,6,5,4,3,2,1,10,9]=>[7,6,5,4,3,2,1,10,9,8] [(1,10),(2,5),(3,4),(6,9),(7,8)]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[2,1,6,5,4,3,10,9,8,7]=>[1,6,5,4,3,10,9,8,7,2] [(1,2),(3,10),(4,5),(6,9),(7,8)]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[4,3,2,1,6,5,10,9,8,7]=>[3,2,1,6,5,10,9,8,7,4] [(1,10),(2,9),(3,4),(5,8),(6,7)]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[2,1,10,5,4,9,8,7,6,3]=>[1,10,5,4,9,8,7,6,3,2] [(1,2),(3,4),(5,10),(6,9),(7,8)]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[6,3,2,5,4,1,10,9,8,7]=>[3,2,5,4,1,10,9,8,7,6] [(1,4),(2,3),(5,10),(6,9),(7,8)]=>[(1,6),(2,5),(3,4),(7,10),(8,9)]=>[6,5,4,3,2,1,10,9,8,7]=>[5,4,3,2,1,10,9,8,7,6] [(1,10),(2,3),(4,9),(5,8),(6,7)]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[2,1,4,3,10,9,8,7,6,5]=>[1,4,3,10,9,8,7,6,5,2] [(1,2),(3,10),(4,9),(5,8),(6,7)]=>[(1,4),(2,3),(5,10),(6,9),(7,8)]=>[4,3,2,1,10,9,8,7,6,5]=>[3,2,1,10,9,8,7,6,5,4] [(1,10),(2,9),(3,8),(4,7),(5,6)]=>[(1,2),(3,10),(4,9),(5,8),(6,7)]=>[2,1,10,9,8,7,6,5,4,3]=>[1,10,9,8,7,6,5,4,3,2] [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[1,12,11,10,9,8,7,6,5,4,3,2] [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[12,3,2,11,10,9,8,7,6,5,4,1]=>[3,2,11,10,9,8,7,6,5,4,1,12] [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[1,4,3,10,9,8,7,6,5,12,11,2] [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[3,2,1,10,9,8,7,6,5,12,11,4] [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[11,4,3,10,9,8,7,6,5,2,1,12] [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[2,1,12,5,4,9,8,7,6,11,10,3]=>[1,12,5,4,9,8,7,6,11,10,3,2] [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[12,3,2,5,4,9,8,7,6,11,10,1]=>[3,2,5,4,9,8,7,6,11,10,1,12] [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[2,1,4,3,12,9,8,7,6,11,10,5]=>[1,4,3,12,9,8,7,6,11,10,5,2] [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[4,3,2,1,12,9,8,7,6,11,10,5]=>[3,2,1,12,9,8,7,6,11,10,5,4] [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[12,5,4,3,2,9,8,7,6,11,10,1]=>[5,4,3,2,9,8,7,6,11,10,1,12] [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[2,1,10,5,4,9,8,7,6,3,12,11]=>[1,10,5,4,9,8,7,6,3,12,11,2] [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[10,3,2,5,4,9,8,7,6,1,12,11]=>[3,2,5,4,9,8,7,6,1,12,11,10] [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[12,11,10,5,4,9,8,7,6,3,2,1]=>[11,10,5,4,9,8,7,6,3,2,1,12] [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[10,5,4,3,2,9,8,7,6,1,12,11]=>[5,4,3,2,9,8,7,6,1,12,11,10] [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[2,1,12,11,6,5,8,7,10,9,4,3]=>[1,12,11,6,5,8,7,10,9,4,3,2] [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[12,3,2,11,6,5,8,7,10,9,4,1]=>[3,2,11,6,5,8,7,10,9,4,1,12] [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[1,4,3,6,5,8,7,10,9,12,11,2] [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[3,2,1,6,5,8,7,10,9,12,11,4] [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[12,11,4,3,6,5,8,7,10,9,2,1]=>[11,4,3,6,5,8,7,10,9,2,1,12] [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[2,1,12,5,4,11,8,7,10,9,6,3]=>[1,12,5,4,11,8,7,10,9,6,3,2] [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[12,3,2,5,4,11,8,7,10,9,6,1]=>[3,2,5,4,11,8,7,10,9,6,1,12] [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[2,1,4,3,12,11,8,7,10,9,6,5]=>[1,4,3,12,11,8,7,10,9,6,5,2] [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[4,3,2,1,12,11,8,7,10,9,6,5]=>[3,2,1,12,11,8,7,10,9,6,5,4] [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[12,5,4,3,2,11,8,7,10,9,6,1]=>[5,4,3,2,11,8,7,10,9,6,1,12] [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[1,6,5,4,3,8,7,10,9,12,11,2] [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[6,3,2,5,4,1,8,7,10,9,12,11]=>[3,2,5,4,1,8,7,10,9,12,11,6] [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[12,11,6,5,4,3,8,7,10,9,2,1]=>[11,6,5,4,3,8,7,10,9,2,1,12] [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[5,4,3,2,1,8,7,10,9,12,11,6] [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[2,1,12,9,6,5,8,7,4,11,10,3]=>[1,12,9,6,5,8,7,4,11,10,3,2] [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[12,3,2,9,6,5,8,7,4,11,10,1]=>[3,2,9,6,5,8,7,4,11,10,1,12] [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[1,4,3,6,5,8,7,12,11,10,9,2] [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[3,2,1,6,5,8,7,12,11,10,9,4] [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[12,9,4,3,6,5,8,7,2,11,10,1]=>[9,4,3,6,5,8,7,2,11,10,1,12] [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[2,1,10,9,6,5,8,7,4,3,12,11]=>[1,10,9,6,5,8,7,4,3,12,11,2] [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[10,3,2,9,6,5,8,7,4,1,12,11]=>[3,2,9,6,5,8,7,4,1,12,11,10] [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[11,10,9,6,5,8,7,4,3,2,1,12] [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[10,9,4,3,6,5,8,7,2,1,12,11]=>[9,4,3,6,5,8,7,2,1,12,11,10] [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[1,6,5,4,3,8,7,12,11,10,9,2] [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[6,3,2,5,4,1,8,7,12,11,10,9]=>[3,2,5,4,1,8,7,12,11,10,9,6] [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[12,9,6,5,4,3,8,7,2,11,10,1]=>[9,6,5,4,3,8,7,2,11,10,1,12] [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[5,4,3,2,1,8,7,12,11,10,9,6] [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[10,9,6,5,4,3,8,7,2,1,12,11]=>[9,6,5,4,3,8,7,2,1,12,11,10] [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[2,1,12,11,10,7,6,9,8,5,4,3]=>[1,12,11,10,7,6,9,8,5,4,3,2] [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[12,3,2,11,10,7,6,9,8,5,4,1]=>[3,2,11,10,7,6,9,8,5,4,1,12] [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[2,1,4,3,10,7,6,9,8,5,12,11]=>[1,4,3,10,7,6,9,8,5,12,11,2] [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[4,3,2,1,10,7,6,9,8,5,12,11]=>[3,2,1,10,7,6,9,8,5,12,11,4] [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[12,11,4,3,10,7,6,9,8,5,2,1]=>[11,4,3,10,7,6,9,8,5,2,1,12] [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[2,1,12,5,4,7,6,9,8,11,10,3]=>[1,12,5,4,7,6,9,8,11,10,3,2] [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[12,3,2,5,4,7,6,9,8,11,10,1]=>[3,2,5,4,7,6,9,8,11,10,1,12] [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[2,1,4,3,12,7,6,9,8,11,10,5]=>[1,4,3,12,7,6,9,8,11,10,5,2] [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[4,3,2,1,12,7,6,9,8,11,10,5]=>[3,2,1,12,7,6,9,8,11,10,5,4] [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[12,5,4,3,2,7,6,9,8,11,10,1]=>[5,4,3,2,7,6,9,8,11,10,1,12] [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[2,1,10,5,4,7,6,9,8,3,12,11]=>[1,10,5,4,7,6,9,8,3,12,11,2] [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[10,3,2,5,4,7,6,9,8,1,12,11]=>[3,2,5,4,7,6,9,8,1,12,11,10] [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[12,11,10,5,4,7,6,9,8,3,2,1]=>[11,10,5,4,7,6,9,8,3,2,1,12] [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[10,5,4,3,2,7,6,9,8,1,12,11]=>[5,4,3,2,7,6,9,8,1,12,11,10] [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[2,1,12,11,6,5,10,9,8,7,4,3]=>[1,12,11,6,5,10,9,8,7,4,3,2] [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[12,3,2,11,6,5,10,9,8,7,4,1]=>[3,2,11,6,5,10,9,8,7,4,1,12] [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[1,4,3,6,5,10,9,8,7,12,11,2] [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[3,2,1,6,5,10,9,8,7,12,11,4] [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[12,11,4,3,6,5,10,9,8,7,2,1]=>[11,4,3,6,5,10,9,8,7,2,1,12] [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[2,1,12,5,4,11,10,9,8,7,6,3]=>[1,12,5,4,11,10,9,8,7,6,3,2] [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[12,3,2,5,4,11,10,9,8,7,6,1]=>[3,2,5,4,11,10,9,8,7,6,1,12] [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[1,4,3,12,11,10,9,8,7,6,5,2] [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[3,2,1,12,11,10,9,8,7,6,5,4] [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[12,5,4,3,2,11,10,9,8,7,6,1]=>[5,4,3,2,11,10,9,8,7,6,1,12] [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[1,6,5,4,3,10,9,8,7,12,11,2] [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[6,3,2,5,4,1,10,9,8,7,12,11]=>[3,2,5,4,1,10,9,8,7,12,11,6] [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[11,6,5,4,3,10,9,8,7,2,1,12] [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[5,4,3,2,1,10,9,8,7,12,11,6] [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[2,1,12,7,6,5,4,9,8,11,10,3]=>[1,12,7,6,5,4,9,8,11,10,3,2] [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[12,3,2,7,6,5,4,9,8,11,10,1]=>[3,2,7,6,5,4,9,8,11,10,1,12] [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[2,1,4,3,6,5,12,9,8,11,10,7]=>[1,4,3,6,5,12,9,8,11,10,7,2] [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[4,3,2,1,6,5,12,9,8,11,10,7]=>[3,2,1,6,5,12,9,8,11,10,7,4] [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[12,7,4,3,6,5,2,9,8,11,10,1]=>[7,4,3,6,5,2,9,8,11,10,1,12] [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[2,1,10,7,6,5,4,9,8,3,12,11]=>[1,10,7,6,5,4,9,8,3,12,11,2] [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[10,3,2,7,6,5,4,9,8,1,12,11]=>[3,2,7,6,5,4,9,8,1,12,11,10] [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[12,11,10,7,6,5,4,9,8,3,2,1]=>[11,10,7,6,5,4,9,8,3,2,1,12] [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[10,7,4,3,6,5,2,9,8,1,12,11]=>[7,4,3,6,5,2,9,8,1,12,11,10] [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[2,1,6,5,4,3,12,9,8,11,10,7]=>[1,6,5,4,3,12,9,8,11,10,7,2] [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[6,3,2,5,4,1,12,9,8,11,10,7]=>[3,2,5,4,1,12,9,8,11,10,7,6] [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[12,7,6,5,4,3,2,9,8,11,10,1]=>[7,6,5,4,3,2,9,8,11,10,1,12] [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>[6,5,4,3,2,1,12,9,8,11,10,7]=>[5,4,3,2,1,12,9,8,11,10,7,6] [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[10,7,6,5,4,3,2,9,8,1,12,11]=>[7,6,5,4,3,2,9,8,1,12,11,10] [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[2,1,12,11,8,7,6,5,10,9,4,3]=>[1,12,11,8,7,6,5,10,9,4,3,2] [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[12,3,2,11,8,7,6,5,10,9,4,1]=>[3,2,11,8,7,6,5,10,9,4,1,12] [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[1,4,3,8,7,6,5,10,9,12,11,2] [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[3,2,1,8,7,6,5,10,9,12,11,4] [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[12,11,4,3,8,7,6,5,10,9,2,1]=>[11,4,3,8,7,6,5,10,9,2,1,12] [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[2,1,12,5,4,7,6,11,10,9,8,3]=>[1,12,5,4,7,6,11,10,9,8,3,2] [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[12,3,2,5,4,7,6,11,10,9,8,1]=>[3,2,5,4,7,6,11,10,9,8,1,12] [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[2,1,4,3,12,7,6,11,10,9,8,5]=>[1,4,3,12,7,6,11,10,9,8,5,2] [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[4,3,2,1,12,7,6,11,10,9,8,5]=>[3,2,1,12,7,6,11,10,9,8,5,4] [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[12,5,4,3,2,7,6,11,10,9,8,1]=>[5,4,3,2,7,6,11,10,9,8,1,12] [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[2,1,8,5,4,7,6,3,10,9,12,11]=>[1,8,5,4,7,6,3,10,9,12,11,2] [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[8,3,2,5,4,7,6,1,10,9,12,11]=>[3,2,5,4,7,6,1,10,9,12,11,8] [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[12,11,8,5,4,7,6,3,10,9,2,1]=>[11,8,5,4,7,6,3,10,9,2,1,12] [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[8,5,4,3,2,7,6,1,10,9,12,11]=>[5,4,3,2,7,6,1,10,9,12,11,8] [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[2,1,12,9,8,7,6,5,4,11,10,3]=>[1,12,9,8,7,6,5,4,11,10,3,2] [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[12,3,2,9,8,7,6,5,4,11,10,1]=>[3,2,9,8,7,6,5,4,11,10,1,12] [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[1,4,3,8,7,6,5,12,11,10,9,2] [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[3,2,1,8,7,6,5,12,11,10,9,4] [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[12,9,4,3,8,7,6,5,2,11,10,1]=>[9,4,3,8,7,6,5,2,11,10,1,12] [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[1,10,9,8,7,6,5,4,3,12,11,2] [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[10,3,2,9,8,7,6,5,4,1,12,11]=>[3,2,9,8,7,6,5,4,1,12,11,10] [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1,12] [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[10,9,4,3,8,7,6,5,2,1,12,11]=>[9,4,3,8,7,6,5,2,1,12,11,10] [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[2,1,8,5,4,7,6,3,12,11,10,9]=>[1,8,5,4,7,6,3,12,11,10,9,2] [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[8,3,2,5,4,7,6,1,12,11,10,9]=>[3,2,5,4,7,6,1,12,11,10,9,8] [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[12,9,8,5,4,7,6,3,2,11,10,1]=>[9,8,5,4,7,6,3,2,11,10,1,12] [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[8,5,4,3,2,7,6,1,12,11,10,9]=>[5,4,3,2,7,6,1,12,11,10,9,8] [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[10,9,8,5,4,7,6,3,2,1,12,11]=>[9,8,5,4,7,6,3,2,1,12,11,10] [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[2,1,12,7,6,5,4,11,10,9,8,3]=>[1,12,7,6,5,4,11,10,9,8,3,2] [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[12,3,2,7,6,5,4,11,10,9,8,1]=>[3,2,7,6,5,4,11,10,9,8,1,12] [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[1,4,3,6,5,12,11,10,9,8,7,2] [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[3,2,1,6,5,12,11,10,9,8,7,4] [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[12,7,4,3,6,5,2,11,10,9,8,1]=>[7,4,3,6,5,2,11,10,9,8,1,12] [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[1,8,7,6,5,4,3,10,9,12,11,2] [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[8,3,2,7,6,5,4,1,10,9,12,11]=>[3,2,7,6,5,4,1,10,9,12,11,8] [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[12,11,8,7,6,5,4,3,10,9,2,1]=>[11,8,7,6,5,4,3,10,9,2,1,12] [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[8,7,4,3,6,5,2,1,10,9,12,11]=>[7,4,3,6,5,2,1,10,9,12,11,8] [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[1,6,5,4,3,12,11,10,9,8,7,2] [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>[6,3,2,5,4,1,12,11,10,9,8,7]=>[3,2,5,4,1,12,11,10,9,8,7,6] [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>[12,7,6,5,4,3,2,11,10,9,8,1]=>[7,6,5,4,3,2,11,10,9,8,1,12] [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[5,4,3,2,1,12,11,10,9,8,7,6] [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[7,6,5,4,3,2,1,10,9,12,11,8] [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[1,8,7,6,5,4,3,12,11,10,9,2] [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[8,3,2,7,6,5,4,1,12,11,10,9]=>[3,2,7,6,5,4,1,12,11,10,9,8] [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[12,9,8,7,6,5,4,3,2,11,10,1]=>[9,8,7,6,5,4,3,2,11,10,1,12] [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>[8,7,4,3,6,5,2,1,12,11,10,9]=>[7,4,3,6,5,2,1,12,11,10,9,8] [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[9,8,7,6,5,4,3,2,1,12,11,10] [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[7,6,5,4,3,2,1,12,11,10,9,8]
Map
rotation
Description
The rotation of a perfect matching.
This returns the perfect matching obtained by relabelling $i$ to $i+1$ cyclically.
Map
to permutation
Description
Returns the fixed point free involution whose transpositions are the pairs in the perfect matching.
Map
Inverse Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $c\pi^{-1}$ where $c = (1,\ldots,n)$ is the long cycle.