Identifier
Mp00150: Perfect matchings to Dyck pathDyck paths
Mp00024: Dyck paths to 321-avoiding permutationPermutations
Mp00066: Permutations inversePermutations
Images
=>
Cc0012;cc-rep-0Cc0005;cc-rep-1
[(1,2)]=>[1,0]=>[1]=>[1] [(1,2),(3,4)]=>[1,0,1,0]=>[2,1]=>[2,1] [(1,3),(2,4)]=>[1,1,0,0]=>[1,2]=>[1,2] [(1,4),(2,3)]=>[1,1,0,0]=>[1,2]=>[1,2] [(1,2),(3,4),(5,6)]=>[1,0,1,0,1,0]=>[2,1,3]=>[2,1,3] [(1,3),(2,4),(5,6)]=>[1,1,0,0,1,0]=>[3,1,2]=>[2,3,1] [(1,4),(2,3),(5,6)]=>[1,1,0,0,1,0]=>[3,1,2]=>[2,3,1] [(1,5),(2,3),(4,6)]=>[1,1,0,1,0,0]=>[1,3,2]=>[1,3,2] [(1,6),(2,3),(4,5)]=>[1,1,0,1,0,0]=>[1,3,2]=>[1,3,2] [(1,6),(2,4),(3,5)]=>[1,1,1,0,0,0]=>[1,2,3]=>[1,2,3] [(1,5),(2,4),(3,6)]=>[1,1,1,0,0,0]=>[1,2,3]=>[1,2,3] [(1,4),(2,5),(3,6)]=>[1,1,1,0,0,0]=>[1,2,3]=>[1,2,3] [(1,3),(2,5),(4,6)]=>[1,1,0,1,0,0]=>[1,3,2]=>[1,3,2] [(1,2),(3,5),(4,6)]=>[1,0,1,1,0,0]=>[2,3,1]=>[3,1,2] [(1,2),(3,6),(4,5)]=>[1,0,1,1,0,0]=>[2,3,1]=>[3,1,2] [(1,3),(2,6),(4,5)]=>[1,1,0,1,0,0]=>[1,3,2]=>[1,3,2] [(1,4),(2,6),(3,5)]=>[1,1,1,0,0,0]=>[1,2,3]=>[1,2,3] [(1,5),(2,6),(3,4)]=>[1,1,1,0,0,0]=>[1,2,3]=>[1,2,3] [(1,6),(2,5),(3,4)]=>[1,1,1,0,0,0]=>[1,2,3]=>[1,2,3] [(1,2),(3,4),(5,6),(7,8)]=>[1,0,1,0,1,0,1,0]=>[2,1,4,3]=>[2,1,4,3] [(1,3),(2,4),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0]=>[3,1,4,2]=>[2,4,1,3] [(1,4),(2,3),(5,6),(7,8)]=>[1,1,0,0,1,0,1,0]=>[3,1,4,2]=>[2,4,1,3] [(1,5),(2,3),(4,6),(7,8)]=>[1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[2,3,1,4] [(1,6),(2,3),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[2,3,1,4] [(1,7),(2,3),(4,5),(6,8)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,8),(2,3),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,8),(2,4),(3,5),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,7),(2,4),(3,5),(6,8)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,6),(2,4),(3,5),(7,8)]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1] [(1,5),(2,4),(3,6),(7,8)]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1] [(1,4),(2,5),(3,6),(7,8)]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1] [(1,3),(2,5),(4,6),(7,8)]=>[1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[2,3,1,4] [(1,2),(3,5),(4,6),(7,8)]=>[1,0,1,1,0,0,1,0]=>[2,1,3,4]=>[2,1,3,4] [(1,2),(3,6),(4,5),(7,8)]=>[1,0,1,1,0,0,1,0]=>[2,1,3,4]=>[2,1,3,4] [(1,3),(2,6),(4,5),(7,8)]=>[1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[2,3,1,4] [(1,4),(2,6),(3,5),(7,8)]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1] [(1,5),(2,6),(3,4),(7,8)]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1] [(1,6),(2,5),(3,4),(7,8)]=>[1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1] [(1,7),(2,5),(3,4),(6,8)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,8),(2,5),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,8),(2,6),(3,4),(5,7)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,7),(2,6),(3,4),(5,8)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,6),(2,7),(3,4),(5,8)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,5),(2,7),(3,4),(6,8)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,4),(2,7),(3,5),(6,8)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,3),(2,7),(4,5),(6,8)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,2),(3,7),(4,5),(6,8)]=>[1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[3,1,2,4] [(1,2),(3,8),(4,5),(6,7)]=>[1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[3,1,2,4] [(1,3),(2,8),(4,5),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,4),(2,8),(3,5),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,5),(2,8),(3,4),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,6),(2,8),(3,4),(5,7)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,7),(2,8),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,8),(2,7),(3,4),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,8),(2,7),(3,5),(4,6)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,7),(2,8),(3,5),(4,6)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,6),(2,8),(3,5),(4,7)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,5),(2,8),(3,6),(4,7)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,4),(2,8),(3,6),(5,7)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,3),(2,8),(4,6),(5,7)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,2),(3,8),(4,6),(5,7)]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,1,2,3] [(1,2),(3,7),(4,6),(5,8)]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,1,2,3] [(1,3),(2,7),(4,6),(5,8)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,4),(2,7),(3,6),(5,8)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,5),(2,7),(3,6),(4,8)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,6),(2,7),(3,5),(4,8)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,7),(2,6),(3,5),(4,8)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,8),(2,6),(3,5),(4,7)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,8),(2,5),(3,6),(4,7)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,7),(2,5),(3,6),(4,8)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,6),(2,5),(3,7),(4,8)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,5),(2,6),(3,7),(4,8)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,4),(2,6),(3,7),(5,8)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,3),(2,6),(4,7),(5,8)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,2),(3,6),(4,7),(5,8)]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,1,2,3] [(1,2),(3,5),(4,7),(6,8)]=>[1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[3,1,2,4] [(1,3),(2,5),(4,7),(6,8)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,4),(2,5),(3,7),(6,8)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,5),(2,4),(3,7),(6,8)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,6),(2,4),(3,7),(5,8)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,7),(2,4),(3,6),(5,8)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,8),(2,4),(3,6),(5,7)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,8),(2,3),(4,6),(5,7)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,7),(2,3),(4,6),(5,8)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,6),(2,3),(4,7),(5,8)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,5),(2,3),(4,7),(6,8)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,4),(2,3),(5,7),(6,8)]=>[1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[3,4,1,2] [(1,3),(2,4),(5,7),(6,8)]=>[1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[3,4,1,2] [(1,2),(3,4),(5,7),(6,8)]=>[1,0,1,0,1,1,0,0]=>[2,4,1,3]=>[3,1,4,2] [(1,2),(3,4),(5,8),(6,7)]=>[1,0,1,0,1,1,0,0]=>[2,4,1,3]=>[3,1,4,2] [(1,3),(2,4),(5,8),(6,7)]=>[1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[3,4,1,2] [(1,4),(2,3),(5,8),(6,7)]=>[1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[3,4,1,2] [(1,5),(2,3),(4,8),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,6),(2,3),(4,8),(5,7)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,7),(2,3),(4,8),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,8),(2,3),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,8),(2,4),(3,7),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,7),(2,4),(3,8),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,6),(2,4),(3,8),(5,7)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,5),(2,4),(3,8),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,4),(2,5),(3,8),(6,7)]=>[1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2] [(1,3),(2,5),(4,8),(6,7)]=>[1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4] [(1,2),(3,5),(4,8),(6,7)]=>[1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[3,1,2,4] [(1,2),(3,6),(4,8),(5,7)]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,1,2,3] [(1,3),(2,6),(4,8),(5,7)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,4),(2,6),(3,8),(5,7)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,5),(2,6),(3,8),(4,7)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,6),(2,5),(3,8),(4,7)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,7),(2,5),(3,8),(4,6)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,8),(2,5),(3,7),(4,6)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,8),(2,6),(3,7),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,7),(2,6),(3,8),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,6),(2,7),(3,8),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,5),(2,7),(3,8),(4,6)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,4),(2,7),(3,8),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,3),(2,7),(4,8),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,2),(3,7),(4,8),(5,6)]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,1,2,3] [(1,2),(3,8),(4,7),(5,6)]=>[1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,1,2,3] [(1,3),(2,8),(4,7),(5,6)]=>[1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,2,3] [(1,4),(2,8),(3,7),(5,6)]=>[1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3] [(1,5),(2,8),(3,7),(4,6)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,6),(2,8),(3,7),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,7),(2,8),(3,6),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,8),(2,7),(3,6),(4,5)]=>[1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4] [(1,2),(3,4),(5,6),(7,8),(9,10)]=>[1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5] [(1,3),(2,4),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5]=>[2,4,1,3,5] [(1,4),(2,3),(5,6),(7,8),(9,10)]=>[1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5]=>[2,4,1,3,5] [(1,5),(2,3),(4,6),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[2,4,1,5,3] [(1,6),(2,3),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[2,4,1,5,3] [(1,7),(2,3),(4,5),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,8),(2,3),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,9),(2,3),(4,5),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,10),(2,3),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,10),(2,4),(3,5),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,9),(2,4),(3,5),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,8),(2,4),(3,5),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,7),(2,4),(3,5),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,6),(2,4),(3,5),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[2,4,5,1,3] [(1,5),(2,4),(3,6),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[2,4,5,1,3] [(1,4),(2,5),(3,6),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[2,4,5,1,3] [(1,3),(2,5),(4,6),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[2,4,1,5,3] [(1,2),(3,5),(4,6),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,4]=>[2,1,4,5,3] [(1,2),(3,6),(4,5),(7,8),(9,10)]=>[1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,4]=>[2,1,4,5,3] [(1,3),(2,6),(4,5),(7,8),(9,10)]=>[1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[2,4,1,5,3] [(1,4),(2,6),(3,5),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[2,4,5,1,3] [(1,5),(2,6),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[2,4,5,1,3] [(1,6),(2,5),(3,4),(7,8),(9,10)]=>[1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[2,4,5,1,3] [(1,7),(2,5),(3,4),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,8),(2,5),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,9),(2,5),(3,4),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,10),(2,5),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,10),(2,6),(3,4),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,9),(2,6),(3,4),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,8),(2,6),(3,4),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,7),(2,6),(3,4),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,6),(2,7),(3,4),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,5),(2,7),(3,4),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,4),(2,7),(3,5),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,3),(2,7),(4,5),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,2),(3,7),(4,5),(6,8),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4] [(1,2),(3,8),(4,5),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4] [(1,3),(2,8),(4,5),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,4),(2,8),(3,5),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,5),(2,8),(3,4),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,6),(2,8),(3,4),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,7),(2,8),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,8),(2,7),(3,4),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,9),(2,7),(3,4),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,10),(2,7),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,10),(2,8),(3,4),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,8),(3,4),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,8),(2,9),(3,4),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,9),(3,4),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,6),(2,9),(3,4),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,9),(3,4),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,4),(2,9),(3,5),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,3),(2,9),(4,5),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,2),(3,9),(4,5),(6,7),(8,10)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,2),(3,10),(4,5),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,3),(2,10),(4,5),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,4),(2,10),(3,5),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,5),(2,10),(3,4),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,6),(2,10),(3,4),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,7),(2,10),(3,4),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,8),(2,10),(3,4),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,10),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,9),(3,4),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,9),(3,5),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,10),(3,5),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,8),(2,10),(3,5),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,10),(3,5),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,10),(3,5),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,5),(2,10),(3,6),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,4),(2,10),(3,6),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,3),(2,10),(4,6),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,2),(3,10),(4,6),(5,7),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,2),(3,9),(4,6),(5,7),(8,10)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,3),(2,9),(4,6),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,4),(2,9),(3,6),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,9),(3,6),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,9),(3,5),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,7),(2,9),(3,5),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,9),(3,5),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,8),(3,5),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,8),(3,5),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,7),(3,5),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,9),(2,7),(3,5),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,7),(3,5),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,7),(2,8),(3,5),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,6),(2,8),(3,5),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,5),(2,8),(3,6),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,4),(2,8),(3,6),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,3),(2,8),(4,6),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,2),(3,8),(4,6),(5,7),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5] [(1,2),(3,7),(4,6),(5,8),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5] [(1,3),(2,7),(4,6),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,4),(2,7),(3,6),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,5),(2,7),(3,6),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,6),(2,7),(3,5),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,7),(2,6),(3,5),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,8),(2,6),(3,5),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,9),(2,6),(3,5),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,10),(2,6),(3,5),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,10),(2,5),(3,6),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,9),(2,5),(3,6),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,5),(3,6),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,7),(2,5),(3,6),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,6),(2,5),(3,7),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,5),(2,6),(3,7),(4,8),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,4),(2,6),(3,7),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,3),(2,6),(4,7),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,2),(3,6),(4,7),(5,8),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5] [(1,2),(3,5),(4,7),(6,8),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4] [(1,3),(2,5),(4,7),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,4),(2,5),(3,7),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,5),(2,4),(3,7),(6,8),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,6),(2,4),(3,7),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,7),(2,4),(3,6),(5,8),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,8),(2,4),(3,6),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,9),(2,4),(3,6),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,10),(2,4),(3,6),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,10),(2,3),(4,6),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,9),(2,3),(4,6),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,8),(2,3),(4,6),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,7),(2,3),(4,6),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,6),(2,3),(4,7),(5,8),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,5),(2,3),(4,7),(6,8),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,4),(2,3),(5,7),(6,8),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[2,5,1,3,4] [(1,3),(2,4),(5,7),(6,8),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[2,5,1,3,4] [(1,2),(3,4),(5,7),(6,8),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3]=>[2,1,5,3,4] [(1,2),(3,4),(5,8),(6,7),(9,10)]=>[1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3]=>[2,1,5,3,4] [(1,3),(2,4),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[2,5,1,3,4] [(1,4),(2,3),(5,8),(6,7),(9,10)]=>[1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[2,5,1,3,4] [(1,5),(2,3),(4,8),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,6),(2,3),(4,8),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,7),(2,3),(4,8),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,8),(2,3),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,9),(2,3),(4,7),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,10),(2,3),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,10),(2,4),(3,7),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,9),(2,4),(3,7),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,8),(2,4),(3,7),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,7),(2,4),(3,8),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,6),(2,4),(3,8),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,5),(2,4),(3,8),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,4),(2,5),(3,8),(6,7),(9,10)]=>[1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,3,5,1,4] [(1,3),(2,5),(4,8),(6,7),(9,10)]=>[1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4] [(1,2),(3,5),(4,8),(6,7),(9,10)]=>[1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4] [(1,2),(3,6),(4,8),(5,7),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5] [(1,3),(2,6),(4,8),(5,7),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,4),(2,6),(3,8),(5,7),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,5),(2,6),(3,8),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,6),(2,5),(3,8),(4,7),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,7),(2,5),(3,8),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,8),(2,5),(3,7),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,9),(2,5),(3,7),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,10),(2,5),(3,7),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,10),(2,6),(3,7),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,9),(2,6),(3,7),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,6),(3,7),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,7),(2,6),(3,8),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,6),(2,7),(3,8),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,5),(2,7),(3,8),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,4),(2,7),(3,8),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,3),(2,7),(4,8),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,2),(3,7),(4,8),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5] [(1,2),(3,8),(4,7),(5,6),(9,10)]=>[1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5] [(1,3),(2,8),(4,7),(5,6),(9,10)]=>[1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5] [(1,4),(2,8),(3,7),(5,6),(9,10)]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5] [(1,5),(2,8),(3,7),(4,6),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,6),(2,8),(3,7),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,7),(2,8),(3,6),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,8),(2,7),(3,6),(4,5),(9,10)]=>[1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1] [(1,9),(2,7),(3,6),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,10),(2,7),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,10),(2,8),(3,6),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,8),(3,6),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,8),(2,9),(3,6),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,9),(3,6),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,9),(3,7),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,5),(2,9),(3,7),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,4),(2,9),(3,7),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,3),(2,9),(4,7),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,2),(3,9),(4,7),(5,6),(8,10)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,2),(3,10),(4,7),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,3),(2,10),(4,7),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,4),(2,10),(3,7),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,10),(3,7),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,10),(3,7),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,7),(2,10),(3,6),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,10),(3,6),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,10),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,9),(3,6),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,9),(3,7),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,10),(3,7),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,10),(3,7),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,10),(3,8),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,10),(3,8),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,10),(3,8),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,10),(3,8),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,10),(4,8),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,10),(4,8),(5,6),(7,9)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,9),(4,8),(5,6),(7,10)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,9),(4,8),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,9),(3,8),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,9),(3,8),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,9),(3,8),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,9),(3,8),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,9),(3,7),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,8),(3,7),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,8),(3,7),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,7),(3,8),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,7),(3,8),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,7),(3,9),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,8),(3,9),(4,5),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,8),(3,9),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,8),(3,9),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,8),(3,9),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,8),(4,9),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,8),(4,9),(5,6),(7,10)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,7),(4,9),(5,6),(8,10)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,3),(2,7),(4,9),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,4),(2,7),(3,9),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,7),(3,9),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,7),(3,9),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,7),(2,6),(3,9),(4,5),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,6),(3,9),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,6),(3,8),(4,5),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,6),(3,8),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,5),(3,8),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,5),(3,8),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,8),(2,5),(3,9),(4,6),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,5),(3,9),(4,6),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,5),(3,9),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,5),(2,6),(3,9),(4,7),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,4),(2,6),(3,9),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,3),(2,6),(4,9),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,2),(3,6),(4,9),(5,7),(8,10)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,2),(3,5),(4,9),(6,7),(8,10)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,3),(2,5),(4,9),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,4),(2,5),(3,9),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,5),(2,4),(3,9),(6,7),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,6),(2,4),(3,9),(5,7),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,7),(2,4),(3,9),(5,6),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,8),(2,4),(3,9),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,4),(3,8),(5,6),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,4),(3,8),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,3),(4,8),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,9),(2,3),(4,8),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,8),(2,3),(4,9),(5,6),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,7),(2,3),(4,9),(5,6),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,6),(2,3),(4,9),(5,7),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,5),(2,3),(4,9),(6,7),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,4),(2,3),(5,9),(6,7),(8,10)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,3),(2,4),(5,9),(6,7),(8,10)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,2),(3,4),(5,9),(6,7),(8,10)]=>[1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[3,1,5,2,4] [(1,2),(3,4),(5,10),(6,7),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[3,1,5,2,4] [(1,3),(2,4),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,4),(2,3),(5,10),(6,7),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,5),(2,3),(4,10),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,6),(2,3),(4,10),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,7),(2,3),(4,10),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,8),(2,3),(4,10),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,9),(2,3),(4,10),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,10),(2,3),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,10),(2,4),(3,9),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,4),(3,10),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,8),(2,4),(3,10),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,4),(3,10),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,6),(2,4),(3,10),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,4),(3,10),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,4),(2,5),(3,10),(6,7),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,3),(2,5),(4,10),(6,7),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,2),(3,5),(4,10),(6,7),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,2),(3,6),(4,10),(5,7),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,3),(2,6),(4,10),(5,7),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,4),(2,6),(3,10),(5,7),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,6),(3,10),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,5),(3,10),(4,7),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,7),(2,5),(3,10),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,5),(3,10),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,5),(3,10),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,5),(3,9),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,6),(3,9),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,6),(3,10),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,8),(2,6),(3,10),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,6),(3,10),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,7),(3,10),(4,5),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,5),(2,7),(3,10),(4,6),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,4),(2,7),(3,10),(5,6),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,3),(2,7),(4,10),(5,6),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,2),(3,7),(4,10),(5,6),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,2),(3,8),(4,10),(5,6),(7,9)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,8),(4,10),(5,6),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,8),(3,10),(5,6),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,8),(3,10),(4,6),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,8),(3,10),(4,5),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,8),(3,10),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,7),(3,10),(4,5),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,7),(3,10),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,7),(3,9),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,8),(3,9),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,8),(3,10),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,9),(3,10),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,9),(3,10),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,9),(3,10),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,9),(3,10),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,9),(3,10),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,9),(4,10),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,9),(4,10),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,10),(4,9),(5,6),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,10),(4,9),(5,6),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,10),(3,9),(5,6),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,10),(3,9),(4,6),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,10),(3,9),(4,5),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,10),(3,9),(4,5),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,10),(3,9),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,10),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,9),(3,8),(4,5),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,9),(3,8),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,10),(3,8),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,10),(3,9),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,10),(3,9),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,10),(3,9),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,10),(3,9),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,10),(3,9),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,10),(4,9),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,10),(4,9),(5,7),(6,8)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,9),(4,10),(5,7),(6,8)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,9),(4,10),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,9),(3,10),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,9),(3,10),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,9),(3,10),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,9),(3,10),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,9),(3,10),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,8),(3,10),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,8),(3,9),(4,6),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,7),(3,9),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,7),(3,10),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,7),(3,10),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,8),(3,10),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,8),(3,10),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,8),(3,10),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,8),(3,10),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,8),(4,10),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,8),(4,10),(5,7),(6,9)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,7),(4,10),(5,8),(6,9)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,7),(4,10),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,7),(3,10),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,7),(3,10),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,7),(3,10),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,6),(3,10),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,6),(3,10),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,6),(3,10),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,6),(3,9),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,5),(3,9),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,5),(3,10),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,5),(3,10),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,5),(3,10),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,5),(3,10),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,6),(3,10),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,6),(3,10),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,6),(4,10),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,6),(4,10),(5,8),(7,9)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,5),(4,10),(6,8),(7,9)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,3),(2,5),(4,10),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,5),(3,10),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,5),(2,4),(3,10),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,6),(2,4),(3,10),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,4),(3,10),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,4),(3,10),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,4),(3,10),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,4),(3,9),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,3),(4,9),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,9),(2,3),(4,10),(5,7),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,8),(2,3),(4,10),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,7),(2,3),(4,10),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,6),(2,3),(4,10),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,5),(2,3),(4,10),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,3),(5,10),(6,8),(7,9)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,3),(2,4),(5,10),(6,8),(7,9)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,2),(3,4),(5,10),(6,8),(7,9)]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[4,1,5,2,3] [(1,2),(3,4),(5,9),(6,8),(7,10)]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[4,1,5,2,3] [(1,3),(2,4),(5,9),(6,8),(7,10)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,4),(2,3),(5,9),(6,8),(7,10)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,5),(2,3),(4,9),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,6),(2,3),(4,9),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,7),(2,3),(4,9),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,8),(2,3),(4,9),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,9),(2,3),(4,8),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,10),(2,3),(4,8),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,10),(2,4),(3,8),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,4),(3,8),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,4),(3,9),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,7),(2,4),(3,9),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,6),(2,4),(3,9),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,4),(3,9),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,4),(2,5),(3,9),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,3),(2,5),(4,9),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,2),(3,5),(4,9),(6,8),(7,10)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,2),(3,6),(4,9),(5,8),(7,10)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,6),(4,9),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,6),(3,9),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,6),(3,9),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,5),(3,9),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,5),(3,9),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,5),(3,9),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,5),(3,8),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,5),(3,8),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,6),(3,8),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,6),(3,8),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,6),(3,9),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,6),(3,9),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,7),(3,9),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,7),(3,9),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,7),(3,9),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,7),(4,9),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,7),(4,9),(5,8),(6,10)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,8),(4,9),(5,7),(6,10)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,8),(4,9),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,8),(3,9),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,8),(3,9),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,8),(3,9),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,8),(3,9),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,7),(3,9),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,7),(3,8),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,7),(3,8),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,8),(3,7),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,8),(3,7),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,9),(3,7),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,9),(3,8),(4,6),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,9),(3,8),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,9),(3,8),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,9),(3,8),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,9),(4,8),(5,7),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,9),(4,8),(5,7),(6,10)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,10),(4,8),(5,7),(6,9)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,10),(4,8),(5,7),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,10),(3,8),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,10),(3,8),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,10),(3,8),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,10),(3,8),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,10),(3,7),(4,6),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,10),(3,7),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,9),(3,7),(4,6),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,9),(3,6),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,10),(3,6),(4,7),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,10),(3,6),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,10),(3,6),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,10),(3,7),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,10),(3,7),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,10),(3,7),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,10),(4,7),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,10),(4,7),(5,8),(6,9)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,9),(4,7),(5,8),(6,10)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,9),(4,7),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,9),(3,7),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,9),(3,7),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,9),(3,7),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,9),(3,6),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,9),(3,6),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,8),(3,6),(4,7),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,8),(3,6),(4,7),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,7),(3,6),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,7),(3,6),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,7),(3,6),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,8),(3,6),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,8),(3,7),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,8),(3,7),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,8),(3,7),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,8),(4,7),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,8),(4,7),(5,9),(6,10)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,7),(4,8),(5,9),(6,10)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,7),(4,8),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,7),(3,8),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,7),(3,8),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,7),(3,8),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,6),(3,8),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,6),(3,7),(4,9),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,6),(3,7),(4,8),(5,10)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,6),(3,7),(4,8),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,5),(3,7),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,5),(3,7),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,5),(3,7),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,5),(3,8),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,5),(3,8),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,6),(3,8),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,6),(3,8),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,6),(4,8),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,6),(4,8),(5,9),(7,10)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,5),(4,8),(6,9),(7,10)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,3),(2,5),(4,8),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,5),(3,8),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,5),(2,4),(3,8),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,6),(2,4),(3,8),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,4),(3,8),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,4),(3,7),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,4),(3,7),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,4),(3,7),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,3),(4,7),(5,8),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,9),(2,3),(4,7),(5,8),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,8),(2,3),(4,7),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,7),(2,3),(4,8),(5,9),(6,10)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,6),(2,3),(4,8),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,5),(2,3),(4,8),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,3),(5,8),(6,9),(7,10)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,3),(2,4),(5,8),(6,9),(7,10)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,2),(3,4),(5,8),(6,9),(7,10)]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[4,1,5,2,3] [(1,2),(3,4),(5,7),(6,9),(8,10)]=>[1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[3,1,5,2,4] [(1,3),(2,4),(5,7),(6,9),(8,10)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,4),(2,3),(5,7),(6,9),(8,10)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,5),(2,3),(4,7),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,6),(2,3),(4,7),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,7),(2,3),(4,6),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,8),(2,3),(4,6),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,9),(2,3),(4,6),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,10),(2,3),(4,6),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,10),(2,4),(3,6),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,4),(3,6),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,8),(2,4),(3,6),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,4),(3,6),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,6),(2,4),(3,7),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,4),(3,7),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,4),(2,5),(3,7),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,3),(2,5),(4,7),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,2),(3,5),(4,7),(6,9),(8,10)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,2),(3,6),(4,7),(5,9),(8,10)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,3),(2,6),(4,7),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,4),(2,6),(3,7),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,6),(3,7),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,5),(3,7),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,7),(2,5),(3,6),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,5),(3,6),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,5),(3,6),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,5),(3,6),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,6),(3,5),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,6),(3,5),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,8),(2,6),(3,5),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,6),(3,5),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,7),(3,5),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,5),(2,7),(3,6),(4,9),(8,10)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,4),(2,7),(3,6),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,3),(2,7),(4,6),(5,9),(8,10)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,2),(3,7),(4,6),(5,9),(8,10)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,2),(3,8),(4,6),(5,9),(7,10)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,8),(4,6),(5,9),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,8),(3,6),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,8),(3,6),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,8),(3,5),(4,9),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,8),(3,5),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,7),(3,5),(4,9),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,7),(3,5),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,7),(3,5),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,8),(3,5),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,8),(3,5),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,9),(3,5),(4,7),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,9),(3,5),(4,8),(6,10)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,9),(3,5),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,9),(3,6),(4,8),(7,10)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,9),(3,6),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,9),(4,6),(5,8),(7,10)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,9),(4,6),(5,8),(7,10)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,10),(4,6),(5,8),(7,9)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,10),(4,6),(5,8),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,10),(3,6),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,10),(3,6),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,10),(3,5),(4,8),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,10),(3,5),(4,8),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,10),(3,5),(4,7),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,10),(3,5),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,9),(3,5),(4,7),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,9),(3,4),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,10),(3,4),(5,7),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,10),(3,4),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,7),(2,10),(3,4),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,6),(2,10),(3,4),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,10),(3,4),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,4),(2,10),(3,5),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,3),(2,10),(4,5),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,2),(3,10),(4,5),(6,8),(7,9)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,2),(3,9),(4,5),(6,8),(7,10)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,3),(2,9),(4,5),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,9),(3,5),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,5),(2,9),(3,4),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,6),(2,9),(3,4),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,9),(3,4),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,9),(3,4),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,8),(3,4),(5,7),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,8),(3,4),(5,7),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,7),(3,4),(5,8),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,7),(3,4),(5,8),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,7),(3,4),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,7),(2,8),(3,4),(5,9),(6,10)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,6),(2,8),(3,4),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,8),(3,4),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,4),(2,8),(3,5),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,3),(2,8),(4,5),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,2),(3,8),(4,5),(6,9),(7,10)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,2),(3,7),(4,5),(6,9),(8,10)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,3),(2,7),(4,5),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,4),(2,7),(3,5),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,5),(2,7),(3,4),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,6),(2,7),(3,4),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,7),(2,6),(3,4),(5,9),(8,10)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,8),(2,6),(3,4),(5,9),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,6),(3,4),(5,8),(7,10)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,6),(3,4),(5,8),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,5),(3,4),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,9),(2,5),(3,4),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,8),(2,5),(3,4),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,7),(2,5),(3,4),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,6),(2,5),(3,4),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,5),(2,6),(3,4),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,4),(2,6),(3,5),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,3),(2,6),(4,5),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,2),(3,6),(4,5),(7,9),(8,10)]=>[1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[3,1,4,5,2] [(1,2),(3,5),(4,6),(7,9),(8,10)]=>[1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[3,1,4,5,2] [(1,3),(2,5),(4,6),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,4),(2,5),(3,6),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,5),(2,4),(3,6),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,6),(2,4),(3,5),(7,9),(8,10)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,7),(2,4),(3,5),(6,9),(8,10)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,8),(2,4),(3,5),(6,9),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,9),(2,4),(3,5),(6,8),(7,10)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,10),(2,4),(3,5),(6,8),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,10),(2,3),(4,5),(6,8),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,9),(2,3),(4,5),(6,8),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,8),(2,3),(4,5),(6,9),(7,10)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,7),(2,3),(4,5),(6,9),(8,10)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,6),(2,3),(4,5),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,5),(2,3),(4,6),(7,9),(8,10)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,4),(2,3),(5,6),(7,9),(8,10)]=>[1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[3,4,1,2,5] [(1,3),(2,4),(5,6),(7,9),(8,10)]=>[1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[3,4,1,2,5] [(1,2),(3,4),(5,6),(7,9),(8,10)]=>[1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5]=>[3,1,4,2,5] [(1,2),(3,4),(5,6),(7,10),(8,9)]=>[1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5]=>[3,1,4,2,5] [(1,3),(2,4),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[3,4,1,2,5] [(1,4),(2,3),(5,6),(7,10),(8,9)]=>[1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[3,4,1,2,5] [(1,5),(2,3),(4,6),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,6),(2,3),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,7),(2,3),(4,5),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,8),(2,3),(4,5),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,9),(2,3),(4,5),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,10),(2,3),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,10),(2,4),(3,5),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,9),(2,4),(3,5),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,8),(2,4),(3,5),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,7),(2,4),(3,5),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,6),(2,4),(3,5),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,5),(2,4),(3,6),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,4),(2,5),(3,6),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,3),(2,5),(4,6),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,2),(3,5),(4,6),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[3,1,4,5,2] [(1,2),(3,6),(4,5),(7,10),(8,9)]=>[1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[3,1,4,5,2] [(1,3),(2,6),(4,5),(7,10),(8,9)]=>[1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[3,4,1,5,2] [(1,4),(2,6),(3,5),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,5),(2,6),(3,4),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,6),(2,5),(3,4),(7,10),(8,9)]=>[1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,5,1,2] [(1,7),(2,5),(3,4),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,8),(2,5),(3,4),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,9),(2,5),(3,4),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,10),(2,5),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,10),(2,6),(3,4),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,6),(3,4),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,8),(2,6),(3,4),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,6),(3,4),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,6),(2,7),(3,4),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,7),(3,4),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,4),(2,7),(3,5),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,3),(2,7),(4,5),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,2),(3,7),(4,5),(6,10),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,2),(3,8),(4,5),(6,10),(7,9)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,3),(2,8),(4,5),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,8),(3,5),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,5),(2,8),(3,4),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,6),(2,8),(3,4),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,8),(3,4),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,7),(3,4),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,7),(3,4),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,7),(3,4),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,8),(3,4),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,8),(3,4),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,9),(3,4),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,7),(2,9),(3,4),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,6),(2,9),(3,4),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,9),(3,4),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,4),(2,9),(3,5),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,3),(2,9),(4,5),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,2),(3,9),(4,5),(6,10),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,2),(3,10),(4,5),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,3),(2,10),(4,5),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,10),(3,5),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,5),(2,10),(3,4),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,6),(2,10),(3,4),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,10),(3,4),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,10),(3,4),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,10),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,9),(3,4),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,9),(3,5),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,10),(3,5),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,10),(3,5),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,10),(3,5),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,10),(3,5),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,10),(3,6),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,10),(3,6),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,10),(4,6),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,10),(4,6),(5,9),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,9),(4,6),(5,10),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,9),(4,6),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,9),(3,6),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,9),(3,6),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,9),(3,5),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,9),(3,5),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,9),(3,5),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,8),(3,5),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,8),(3,5),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,7),(3,5),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,7),(3,5),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,7),(3,5),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,8),(3,5),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,8),(3,5),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,8),(3,6),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,8),(3,6),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,8),(4,6),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,8),(4,6),(5,10),(7,9)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,7),(4,6),(5,10),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,3),(2,7),(4,6),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,4),(2,7),(3,6),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,5),(2,7),(3,6),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,7),(3,5),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,7),(2,6),(3,5),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,8),(2,6),(3,5),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,6),(3,5),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,6),(3,5),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,10),(2,5),(3,6),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,9),(2,5),(3,6),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,8),(2,5),(3,6),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,5),(3,6),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,6),(2,5),(3,7),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,5),(2,6),(3,7),(4,10),(8,9)]=>[1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2] [(1,4),(2,6),(3,7),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,3),(2,6),(4,7),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,2),(3,6),(4,7),(5,10),(8,9)]=>[1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,1,2,4,5] [(1,2),(3,5),(4,7),(6,10),(8,9)]=>[1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4] [(1,3),(2,5),(4,7),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,4),(2,5),(3,7),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,5),(2,4),(3,7),(6,10),(8,9)]=>[1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,3,5,2,4] [(1,6),(2,4),(3,7),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,7),(2,4),(3,6),(5,10),(8,9)]=>[1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5] [(1,8),(2,4),(3,6),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,9),(2,4),(3,6),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,4),(3,6),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,10),(2,3),(4,6),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,9),(2,3),(4,6),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,8),(2,3),(4,6),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,7),(2,3),(4,6),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,6),(2,3),(4,7),(5,10),(8,9)]=>[1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5] [(1,5),(2,3),(4,7),(6,10),(8,9)]=>[1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4] [(1,4),(2,3),(5,7),(6,10),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,3),(2,4),(5,7),(6,10),(8,9)]=>[1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[3,5,1,2,4] [(1,2),(3,4),(5,7),(6,10),(8,9)]=>[1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[3,1,5,2,4] [(1,2),(3,4),(5,8),(6,10),(7,9)]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[4,1,5,2,3] [(1,3),(2,4),(5,8),(6,10),(7,9)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,4),(2,3),(5,8),(6,10),(7,9)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,5),(2,3),(4,8),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,6),(2,3),(4,8),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,7),(2,3),(4,8),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,8),(2,3),(4,7),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,9),(2,3),(4,7),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,10),(2,3),(4,7),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,10),(2,4),(3,7),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,4),(3,7),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,4),(3,7),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,7),(2,4),(3,8),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,6),(2,4),(3,8),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,4),(3,8),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,4),(2,5),(3,8),(6,10),(7,9)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,3),(2,5),(4,8),(6,10),(7,9)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,2),(3,5),(4,8),(6,10),(7,9)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,2),(3,6),(4,8),(5,10),(7,9)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,6),(4,8),(5,10),(7,9)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,6),(3,8),(5,10),(7,9)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,6),(3,8),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,5),(3,8),(4,10),(7,9)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,5),(3,8),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,5),(3,7),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,5),(3,7),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,5),(3,7),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,6),(3,7),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,6),(3,7),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,6),(3,7),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,6),(3,8),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,7),(3,8),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,7),(3,8),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,7),(3,8),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,7),(4,8),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,7),(4,8),(5,10),(6,9)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,8),(4,7),(5,10),(6,9)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,8),(4,7),(5,10),(6,9)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,8),(3,7),(5,10),(6,9)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,8),(3,7),(4,10),(6,9)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,8),(3,7),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,8),(3,6),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,7),(3,6),(4,10),(5,9)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,7),(3,6),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,7),(3,6),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,8),(3,6),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,8),(3,6),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,9),(3,6),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,9),(3,6),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,9),(3,7),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,9),(3,7),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,9),(3,7),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,9),(4,7),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,9),(4,7),(5,10),(6,8)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,10),(4,7),(5,9),(6,8)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,10),(4,7),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,10),(3,7),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,10),(3,7),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,10),(3,7),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,10),(3,6),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,10),(3,6),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,10),(3,6),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,9),(3,6),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,9),(3,7),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,10),(3,7),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,10),(3,7),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,10),(3,8),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,10),(3,8),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,10),(3,8),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,10),(3,8),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,10),(4,8),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,10),(4,8),(5,9),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,9),(4,8),(5,10),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,9),(4,8),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,9),(3,8),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,9),(3,8),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,9),(3,8),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,9),(3,8),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,9),(3,7),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,8),(3,7),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,8),(3,7),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,7),(3,8),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,7),(3,8),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,7),(3,9),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,8),(3,9),(4,10),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,8),(3,9),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,8),(3,9),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,8),(3,9),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,8),(4,9),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,8),(4,9),(5,10),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,7),(4,9),(5,10),(6,8)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,7),(4,9),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,7),(3,9),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,7),(3,9),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,7),(3,9),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,6),(3,9),(4,10),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,6),(3,9),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,6),(3,8),(4,10),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,6),(3,8),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,5),(3,8),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,5),(3,8),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,5),(3,9),(4,10),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,7),(2,5),(3,9),(4,10),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,5),(3,9),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,5),(2,6),(3,9),(4,10),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,4),(2,6),(3,9),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,3),(2,6),(4,9),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,2),(3,6),(4,9),(5,10),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,2),(3,5),(4,9),(6,10),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,3),(2,5),(4,9),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,5),(3,9),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,5),(2,4),(3,9),(6,10),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,6),(2,4),(3,9),(5,10),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,7),(2,4),(3,9),(5,10),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,4),(3,9),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,4),(3,8),(5,10),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,4),(3,8),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,10),(2,3),(4,8),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,9),(2,3),(4,8),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,8),(2,3),(4,9),(5,10),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,7),(2,3),(4,9),(5,10),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,6),(2,3),(4,9),(5,10),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,5),(2,3),(4,9),(6,10),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,4),(2,3),(5,9),(6,10),(7,8)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,3),(2,4),(5,9),(6,10),(7,8)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,2),(3,4),(5,9),(6,10),(7,8)]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[4,1,5,2,3] [(1,2),(3,4),(5,10),(6,9),(7,8)]=>[1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[4,1,5,2,3] [(1,3),(2,4),(5,10),(6,9),(7,8)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,4),(2,3),(5,10),(6,9),(7,8)]=>[1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[4,5,1,2,3] [(1,5),(2,3),(4,10),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,6),(2,3),(4,10),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,7),(2,3),(4,10),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,8),(2,3),(4,10),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,9),(2,3),(4,10),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,10),(2,3),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,10),(2,4),(3,9),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,9),(2,4),(3,10),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,8),(2,4),(3,10),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,7),(2,4),(3,10),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,6),(2,4),(3,10),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,4),(3,10),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,4),(2,5),(3,10),(6,9),(7,8)]=>[1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,4,5,2,3] [(1,3),(2,5),(4,10),(6,9),(7,8)]=>[1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,2,5,3] [(1,2),(3,5),(4,10),(6,9),(7,8)]=>[1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,2,5,3] [(1,2),(3,6),(4,10),(5,9),(7,8)]=>[1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,1,2,3,5] [(1,3),(2,6),(4,10),(5,9),(7,8)]=>[1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,2,3,5] [(1,4),(2,6),(3,10),(5,9),(7,8)]=>[1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5] [(1,5),(2,6),(3,10),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,6),(2,5),(3,10),(4,9),(7,8)]=>[1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3] [(1,7),(2,5),(3,10),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,8),(2,5),(3,10),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,9),(2,5),(3,10),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,5),(3,9),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,10),(2,6),(3,9),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,6),(3,10),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,6),(3,10),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,6),(3,10),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,7),(3,10),(4,9),(5,8)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,7),(3,10),(4,9),(6,8)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,7),(3,10),(5,9),(6,8)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,7),(4,10),(5,9),(6,8)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,7),(4,10),(5,9),(6,8)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,8),(4,10),(5,9),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,8),(4,10),(5,9),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,8),(3,10),(5,9),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,8),(3,10),(4,9),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,8),(3,10),(4,9),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,8),(3,10),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,7),(3,10),(4,9),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,7),(3,10),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,7),(3,9),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,8),(3,9),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,8),(3,10),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,9),(3,10),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,9),(3,10),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,6),(2,9),(3,10),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,5),(2,9),(3,10),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,4),(2,9),(3,10),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,3),(2,9),(4,10),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,2),(3,9),(4,10),(5,8),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,2),(3,10),(4,9),(5,8),(6,7)]=>[1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4] [(1,3),(2,10),(4,9),(5,8),(6,7)]=>[1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4] [(1,4),(2,10),(3,9),(5,8),(6,7)]=>[1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4] [(1,5),(2,10),(3,9),(4,8),(6,7)]=>[1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4] [(1,6),(2,10),(3,9),(4,8),(5,7)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,7),(2,10),(3,9),(4,8),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,8),(2,10),(3,9),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,9),(2,10),(3,8),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,10),(2,9),(3,8),(4,7),(5,6)]=>[1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5] [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6] [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6] [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6] [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6] [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6] [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6] [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,5,6]=>[3,1,4,2,5,6] [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6] [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,5,6]=>[3,4,1,2,5,6] [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6] [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6] [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6] [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6] [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6] [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6] [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6] [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,6]=>[1,3,5,2,4,6] [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6] [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[2,3,5,1,4,6] [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6] [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6] [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6] [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[1,4,2,5,3,6] [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[4,1,2,5,3,6] [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,6]=>[2,4,1,5,3,6] [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6] [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,6]=>[3,1,4,5,2,6] [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6] [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,6]=>[3,4,1,5,2,6] [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[1,4,5,2,3,6] [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[4,1,5,2,3,6] [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,6]=>[2,4,5,1,3,6] [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[4,5,1,2,3,6] [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,6]=>[3,4,5,1,2,6] [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5] [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5]=>[2,3,1,4,6,5] [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5] [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5] [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5]=>[2,4,1,3,6,5] [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5] [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5]=>[3,1,4,2,6,5] [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5]=>[2,3,4,1,6,5] [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5]=>[3,4,1,2,6,5] [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5] [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5] [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5] [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5] [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,6,4]=>[2,3,1,6,4,5] [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5] [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5] [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5] [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5] [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5] [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5] [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5] [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,6,3]=>[2,3,6,1,4,5] [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5] [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4]=>[1,2,4,6,3,5] [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,4]=>[2,1,4,6,3,5] [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,6,4]=>[1,4,2,6,3,5] [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,6,4]=>[4,1,2,6,3,5] [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4]=>[2,4,1,6,3,5] [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4]=>[1,3,4,6,2,5] [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>[3,1,4,6,2,5] [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4]=>[2,3,4,6,1,5] [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,6,4]=>[3,4,1,6,2,5] [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5] [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5] [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5] [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5] [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5] [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4] [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4] [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4] [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5]=>[3,1,2,5,6,4] [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4] [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5]=>[1,2,5,3,6,4] [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4] [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5]=>[1,5,2,3,6,4] [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5]=>[5,1,2,3,6,4] [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5]=>[2,5,1,3,6,4] [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5]=>[1,3,5,2,6,4] [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5]=>[3,1,5,2,6,4] [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5]=>[2,3,5,1,6,4] [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5]=>[3,5,1,2,6,4] [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3] [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3] [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5]=>[1,4,2,5,6,3] [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5]=>[4,1,2,5,6,3] [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>[2,4,1,5,6,3] [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2] [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5]=>[3,1,4,5,6,2] [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1] [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5]=>[3,4,1,5,6,2] [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5]=>[1,4,5,2,6,3] [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5]=>[4,1,5,2,6,3] [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5]=>[2,4,5,1,6,3] [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5]=>[4,5,1,2,6,3] [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5]=>[3,4,5,1,6,2] [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4] [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4]=>[2,1,5,6,3,4] [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4]=>[1,5,2,6,3,4] [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4]=>[5,1,2,6,3,4] [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4]=>[2,5,1,6,3,4] [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4]=>[1,3,5,6,2,4] [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4]=>[3,1,5,6,2,4] [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4]=>[2,3,5,6,1,4] [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4]=>[3,5,1,6,2,4] [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,6,2,3]=>[1,5,6,2,3,4] [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,5,6,1,3]=>[5,1,6,2,3,4] [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3]=>[2,5,6,1,3,4] [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4] [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3]=>[3,5,6,1,2,4] [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,4]=>[1,4,5,6,2,3] [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[2,5,6,1,3,4]=>[4,1,5,6,2,3] [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4]=>[2,4,5,6,1,3] [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4]=>[4,5,1,6,2,3] [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2] [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]
Map
to Dyck path
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
Map
inverse
Description
Sends a permutation to its inverse.